##############ECHO OF PROBLEM################# ##############temp/mtest5postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 ; diff ( y2 , x , 2 ) = diff ( y1, x , 1) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=0.5; 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); glob_max_iter=20; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.001; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y1 (double x) { return( - cos(x)); } double exact_soln_y2 (double x) { return( - sin(x)); } double exact_soln_y2p (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 = 4.5 estimated_steps = 4500 step_error = 2.222222222222222e-14 est_needed_step_err = 2.222222222222222e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.176028425937721e-105 max_value3 = 2.176028425937721e-105 value3 = 2.176028425937721e-105 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.5 y1[1] (analytic) = -0.8775825618903728 y1[1] (numeric) = -0.8775825618903728 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.479425538604203 y2[1] (numeric) = -0.479425538604203 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] = 0.501 y1[1] (analytic) = -0.8771026976404284 y1[1] (numeric) = -0.8771026976404285 absolute error = 1.110223024625157e-16 relative error = 1.265784528552775e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.4803028813070803 y2[1] (numeric) = -0.4803028813070803 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] = 0.502 y1[1] (analytic) = -0.8766219562878595 y1[1] (numeric) = -0.8766219562878595 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4811797437071163 y2[1] (numeric) = -0.4811797437071164 absolute error = 5.551115123125783e-17 relative error = 1.15364688470856e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.503 y1[1] (analytic) = -0.8761403383134074 y1[1] (numeric) = -0.8761403383134074 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4820561249274487 y2[1] (numeric) = -0.4820561249274488 absolute error = 5.551115123125783e-17 relative error = 1.15154954704937e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.504 y1[1] (analytic) = -0.87565784419869 y1[1] (numeric) = -0.87565784419869 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4829320240916963 y2[1] (numeric) = -0.4829320240916964 absolute error = 5.551115123125783e-17 relative error = 1.1494609688737e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.505 y1[1] (analytic) = -0.8751744744262013 y1[1] (numeric) = -0.8751744744262013 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4838074403239602 y2[1] (numeric) = -0.4838074403239602 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] = 0.506 y1[1] (analytic) = -0.8746902294793112 y1[1] (numeric) = -0.8746902294793112 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.484682372748824 y2[1] (numeric) = -0.484682372748824 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] = 0.507 y1[1] (analytic) = -0.8742051098422645 y1[1] (numeric) = -0.8742051098422645 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4855568204913554 y2[1] (numeric) = -0.4855568204913554 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] = 0.508 y1[1] (analytic) = -0.8737191160001807 y1[1] (numeric) = -0.8737191160001808 absolute error = 1.110223024625157e-16 relative error = 1.270686430334353e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.4864307826771068 y2[1] (numeric) = -0.4864307826771068 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] = 0.509 y1[1] (analytic) = -0.8732322484390539 y1[1] (numeric) = -0.8732322484390539 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4873042584321161 y2[1] (numeric) = -0.4873042584321161 absolute error = 5.551115123125783e-17 relative error = 1.1391476735677e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.51 y1[1] (analytic) = -0.8727445076457513 y1[1] (numeric) = -0.8727445076457513 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4881772468829075 y2[1] (numeric) = -0.4881772468829075 absolute error = 5.551115123125783e-17 relative error = 1.137110579931894e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.511 y1[1] (analytic) = -0.8722558941080137 y1[1] (numeric) = -0.8722558941080137 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4890497471564927 y2[1] (numeric) = -0.4890497471564928 absolute error = 5.551115123125783e-17 relative error = 1.135081892057387e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.512 y1[1] (analytic) = -0.8717664083144548 y1[1] (numeric) = -0.8717664083144548 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4899217583803716 y2[1] (numeric) = -0.4899217583803716 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] = 0.513 y1[1] (analytic) = -0.8712760507545603 y1[1] (numeric) = -0.8712760507545603 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4907932796825329 y2[1] (numeric) = -0.4907932796825329 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] = 0.514 y1[1] (analytic) = -0.8707848219186876 y1[1] (numeric) = -0.8707848219186876 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4916643101914553 y2[1] (numeric) = -0.4916643101914554 absolute error = 5.551115123125783e-17 relative error = 1.129045775351106e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.515 y1[1] (analytic) = -0.8702927222980654 y1[1] (numeric) = -0.8702927222980654 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4925348490361087 y2[1] (numeric) = -0.4925348490361087 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] = 0.516 y1[1] (analytic) = -0.8697997523847936 y1[1] (numeric) = -0.8697997523847936 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.4934048953459539 y2[1] (numeric) = -0.4934048953459539 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] = 0.517 y1[1] (analytic) = -0.8693059126718419 y1[1] (numeric) = -0.8693059126718418 absolute error = 1.110223024625157e-16 relative error = 1.277137321213941e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.494274448250945 y2[1] (numeric) = -0.494274448250945 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] = 0.518 y1[1] (analytic) = -0.8688112036530499 y1[1] (numeric) = -0.8688112036530498 absolute error = 1.110223024625157e-16 relative error = 1.277864534846067e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.495143506881529 y2[1] (numeric) = -0.495143506881529 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] = 0.519 y1[1] (analytic) = -0.8683156258231266 y1[1] (numeric) = -0.8683156258231265 absolute error = 1.110223024625157e-16 relative error = 1.278593856436376e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.4960120703686474 y2[1] (numeric) = -0.4960120703686474 absolute error = 5.551115123125783e-17 relative error = 1.119149201147478e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.52 y1[1] (analytic) = -0.8678191796776499 y1[1] (numeric) = -0.8678191796776498 absolute error = 1.110223024625157e-16 relative error = 1.279325291056078e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.4968801378437367 y2[1] (numeric) = -0.4968801378437367 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] = 0.521 y1[1] (analytic) = -0.8673218657130658 y1[1] (numeric) = -0.8673218657130657 absolute error = 1.110223024625157e-16 relative error = 1.280058843797729e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.4977477084387296 y2[1] (numeric) = -0.4977477084387297 absolute error = 5.551115123125783e-17 relative error = 1.11524674629599e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.522 y1[1] (analytic) = -0.8668236844266883 y1[1] (numeric) = -0.8668236844266882 absolute error = 1.110223024625157e-16 relative error = 1.280794519775323e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.4986147812860556 y2[1] (numeric) = -0.4986147812860556 absolute error = 5.551115123125783e-17 relative error = 1.113307373040172e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.523 y1[1] (analytic) = -0.8663246363166986 y1[1] (numeric) = -0.8663246363166985 absolute error = 1.110223024625157e-16 relative error = 1.281532324124391e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.4994813555186418 y2[1] (numeric) = -0.4994813555186419 absolute error = 5.551115123125783e-17 relative error = 1.111375842520032e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.524 y1[1] (analytic) = -0.8658247218821448 y1[1] (numeric) = -0.8658247218821448 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5003474302699141 y2[1] (numeric) = -0.5003474302699142 absolute error = 1.110223024625157e-16 relative error = 2.218904220265992e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.525 y1[1] (analytic) = -0.8653239416229412 y1[1] (numeric) = -0.8653239416229412 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5012130046737979 y2[1] (numeric) = -0.501213004673798 absolute error = 1.110223024625157e-16 relative error = 2.215072263234107e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.526 y1[1] (analytic) = -0.8648222960398683 y1[1] (numeric) = -0.8648222960398682 absolute error = 1.110223024625157e-16 relative error = 1.283758559080877e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5020780778647187 y2[1] (numeric) = -0.5020780778647189 absolute error = 2.220446049250313e-16 relative error = 4.422511452190104e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.527 y1[1] (analytic) = -0.8643197856345712 y1[1] (numeric) = -0.8643197856345711 absolute error = 1.110223024625157e-16 relative error = 1.284504928705348e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5029426489776035 y2[1] (numeric) = -0.5029426489776038 absolute error = 2.220446049250313e-16 relative error = 4.414909043335458e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.528 y1[1] (analytic) = -0.8638164109095605 y1[1] (numeric) = -0.8638164109095605 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5038067171478813 y2[1] (numeric) = -0.5038067171478815 absolute error = 2.220446049250313e-16 relative error = 4.407337126865957e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.529 y1[1] (analytic) = -0.863312172368211 y1[1] (numeric) = -0.863312172368211 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5046702815114839 y2[1] (numeric) = -0.5046702815114841 absolute error = 2.220446049250313e-16 relative error = 4.399795531054639e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.53 y1[1] (analytic) = -0.862807070514761 y1[1] (numeric) = -0.862807070514761 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5055333412048469 y2[1] (numeric) = -0.5055333412048472 absolute error = 2.220446049250313e-16 relative error = 4.392284085473538e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.531 y1[1] (analytic) = -0.8623011058543124 y1[1] (numeric) = -0.8623011058543124 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.506395895364911 y2[1] (numeric) = -0.5063958953649113 absolute error = 2.220446049250313e-16 relative error = 4.384802620981456e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.532 y1[1] (analytic) = -0.8617942788928298 y1[1] (numeric) = -0.8617942788928298 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5072579431291219 y2[1] (numeric) = -0.5072579431291221 absolute error = 2.220446049250313e-16 relative error = 4.377350969711875e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.533 y1[1] (analytic) = -0.8612865901371402 y1[1] (numeric) = -0.8612865901371402 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5081194836354319 y2[1] (numeric) = -0.5081194836354321 absolute error = 2.220446049250313e-16 relative error = 4.369928965061001e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.534 y1[1] (analytic) = -0.8607780400949321 y1[1] (numeric) = -0.8607780400949321 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5089805160223007 y2[1] (numeric) = -0.5089805160223009 absolute error = 2.220446049250313e-16 relative error = 4.362536441675943e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.535 y1[1] (analytic) = -0.8602686292747557 y1[1] (numeric) = -0.8602686292747557 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5098410394286959 y2[1] (numeric) = -0.509841039428696 absolute error = 1.110223024625157e-16 relative error = 2.177586617721517e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.536 y1[1] (analytic) = -0.8597583581860218 y1[1] (numeric) = -0.8597583581860216 absolute error = 1.110223024625157e-16 relative error = 1.29131983894589e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.510701052994094 y2[1] (numeric) = -0.5107010529940942 absolute error = 2.220446049250313e-16 relative error = 4.347839183476271e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.537 y1[1] (analytic) = -0.8592472273390012 y1[1] (numeric) = -0.8592472273390012 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5115605558584818 y2[1] (numeric) = -0.5115605558584819 absolute error = 1.110223024625157e-16 relative error = 2.17026706205294e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.538 y1[1] (analytic) = -0.8587352372448249 y1[1] (numeric) = -0.8587352372448249 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5124195471623563 y2[1] (numeric) = -0.5124195471623565 absolute error = 2.220446049250313e-16 relative error = 4.33325789686704e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.539 y1[1] (analytic) = -0.8582223884154829 y1[1] (numeric) = -0.8582223884154829 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5132780260467263 y2[1] (numeric) = -0.5132780260467266 absolute error = 2.220446049250313e-16 relative error = 4.326010342488682e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.54 y1[1] (analytic) = -0.8577086813638242 y1[1] (numeric) = -0.8577086813638241 absolute error = 1.110223024625157e-16 relative error = 1.294405721602135e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5141359916531132 y2[1] (numeric) = -0.5141359916531133 absolute error = 1.110223024625157e-16 relative error = 2.159395651441229e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.541 y1[1] (analytic) = -0.8571941166035554 y1[1] (numeric) = -0.8571941166035554 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5149934431235511 y2[1] (numeric) = -0.5149934431235513 absolute error = 2.220446049250313e-16 relative error = 4.311600621131811e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.542 y1[1] (analytic) = -0.8566786946492415 y1[1] (numeric) = -0.8566786946492415 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5158503796005889 y2[1] (numeric) = -0.5158503796005891 absolute error = 2.220446049250313e-16 relative error = 4.304438141481166e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.543 y1[1] (analytic) = -0.8561624160163044 y1[1] (numeric) = -0.8561624160163044 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5167068002272901 y2[1] (numeric) = -0.5167068002272902 absolute error = 1.110223024625157e-16 relative error = 2.148651854662623e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.544 y1[1] (analytic) = -0.8556452812210225 y1[1] (numeric) = -0.8556452812210226 absolute error = 1.110223024625157e-16 relative error = 1.297527198468093e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.517562704147234 y2[1] (numeric) = -0.5175627041472342 absolute error = 1.110223024625157e-16 relative error = 2.145098585599253e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.545 y1[1] (analytic) = -0.8551272907805307 y1[1] (numeric) = -0.8551272907805308 absolute error = 1.110223024625157e-16 relative error = 1.298313171144127e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.518418090504517 y2[1] (numeric) = -0.5184180905045171 absolute error = 1.110223024625157e-16 relative error = 2.141559187382337e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.546 y1[1] (analytic) = -0.8546084452128195 y1[1] (numeric) = -0.8546084452128195 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5192729584437527 y2[1] (numeric) = -0.5192729584437529 absolute error = 2.220446049250313e-16 relative error = 4.276067168806424e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.547 y1[1] (analytic) = -0.8540887450367343 y1[1] (numeric) = -0.8540887450367343 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5201273071100732 y2[1] (numeric) = -0.5201273071100734 absolute error = 2.220446049250313e-16 relative error = 4.26904340321514e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.548 y1[1] (analytic) = -0.8535681907719751 y1[1] (numeric) = -0.8535681907719751 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.52098113564913 y2[1] (numeric) = -0.5209811356491301 absolute error = 1.110223024625157e-16 relative error = 2.131023464490409e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.549 y1[1] (analytic) = -0.8530467829390963 y1[1] (numeric) = -0.8530467829390963 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5218344432070944 y2[1] (numeric) = -0.5218344432070946 absolute error = 2.220446049250313e-16 relative error = 4.255077598182055e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.55 y1[1] (analytic) = -0.8525245220595057 y1[1] (numeric) = -0.8525245220595057 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5226872289306592 y2[1] (numeric) = -0.5226872289306593 absolute error = 1.110223024625157e-16 relative error = 2.124067631988079e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.551 y1[1] (analytic) = -0.852001408655464 y1[1] (numeric) = -0.852001408655464 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5235394919670386 y2[1] (numeric) = -0.5235394919670388 absolute error = 1.110223024625157e-16 relative error = 2.120609890294684e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.552 y1[1] (analytic) = -0.8514774432500848 y1[1] (numeric) = -0.8514774432500848 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5243912314639697 y2[1] (numeric) = -0.5243912314639698 absolute error = 1.110223024625157e-16 relative error = 2.117165501653585e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.553 y1[1] (analytic) = -0.8509526263673333 y1[1] (numeric) = -0.8509526263673332 absolute error = 1.110223024625157e-16 relative error = 1.304682528996512e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.525242446569713 y2[1] (numeric) = -0.5252424465697131 absolute error = 1.110223024625157e-16 relative error = 2.113734394232363e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.554 y1[1] (analytic) = -0.8504269585320262 y1[1] (numeric) = -0.8504269585320261 absolute error = 1.110223024625157e-16 relative error = 1.305488982312579e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5260931364330534 y2[1] (numeric) = -0.5260931364330536 absolute error = 1.110223024625157e-16 relative error = 2.110316496718704e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.555 y1[1] (analytic) = -0.8499004402698315 y1[1] (numeric) = -0.8499004402698314 absolute error = 1.110223024625157e-16 relative error = 1.306297740324356e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5269433002033014 y2[1] (numeric) = -0.5269433002033015 absolute error = 1.110223024625157e-16 relative error = 2.106911738315713e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.556 y1[1] (analytic) = -0.8493730721072673 y1[1] (numeric) = -0.8493730721072672 absolute error = 1.110223024625157e-16 relative error = 1.307108808936842e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5277929370302931 y2[1] (numeric) = -0.5277929370302931 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] = 0.5570000000000001 y1[1] (analytic) = -0.8488448545717019 y1[1] (numeric) = -0.8488448545717018 absolute error = 1.110223024625157e-16 relative error = 1.307922194080256e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5286420460643916 y2[1] (numeric) = -0.5286420460643917 absolute error = 1.110223024625157e-16 relative error = 2.100141358203515e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5580000000000001 y1[1] (analytic) = -0.8483157881913526 y1[1] (numeric) = -0.8483157881913524 absolute error = 1.110223024625157e-16 relative error = 1.308737901710166e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5294906264564881 y2[1] (numeric) = -0.5294906264564883 absolute error = 1.110223024625157e-16 relative error = 2.096775597436173e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5590000000000001 y1[1] (analytic) = -0.8477858734952858 y1[1] (numeric) = -0.8477858734952857 absolute error = 1.110223024625157e-16 relative error = 1.309555937807603e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5303386773580023 y2[1] (numeric) = -0.5303386773580024 absolute error = 1.110223024625157e-16 relative error = 2.093422697654213e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5600000000000001 y1[1] (analytic) = -0.8472551110134161 y1[1] (numeric) = -0.847255111013416 absolute error = 1.110223024625157e-16 relative error = 1.310376308379185e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5311861979208834 y2[1] (numeric) = -0.5311861979208835 absolute error = 1.110223024625157e-16 relative error = 2.090082590569337e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5610000000000001 y1[1] (analytic) = -0.8467235012765061 y1[1] (numeric) = -0.846723501276506 absolute error = 1.110223024625157e-16 relative error = 1.311199019457241e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5320331872976108 y2[1] (numeric) = -0.532033187297611 absolute error = 1.110223024625157e-16 relative error = 2.086755208381607e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5620000000000001 y1[1] (analytic) = -0.8461910448161652 y1[1] (numeric) = -0.8461910448161652 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5328796446411953 y2[1] (numeric) = -0.5328796446411954 absolute error = 1.110223024625157e-16 relative error = 2.083440483775102e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5630000000000001 y1[1] (analytic) = -0.8456577421648502 y1[1] (numeric) = -0.8456577421648501 absolute error = 1.110223024625157e-16 relative error = 1.312851487391376e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5337255691051795 y2[1] (numeric) = -0.5337255691051797 absolute error = 1.110223024625157e-16 relative error = 2.080138349913621e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5640000000000001 y1[1] (analytic) = -0.8451235938558634 y1[1] (numeric) = -0.8451235938558633 absolute error = 1.110223024625157e-16 relative error = 1.313681256441772e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5345709598436391 y2[1] (numeric) = -0.5345709598436392 absolute error = 1.110223024625157e-16 relative error = 2.076848740436432e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5650000000000001 y1[1] (analytic) = -0.8445886004233533 y1[1] (numeric) = -0.8445886004233532 absolute error = 1.110223024625157e-16 relative error = 1.314513390387525e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5354158160111834 y2[1] (numeric) = -0.5354158160111835 absolute error = 1.110223024625157e-16 relative error = 2.073571589454068e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5660000000000001 y1[1] (analytic) = -0.844052762402313 y1[1] (numeric) = -0.8440527624023129 absolute error = 1.110223024625157e-16 relative error = 1.315347895391372e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5362601367629563 y2[1] (numeric) = -0.5362601367629564 absolute error = 1.110223024625157e-16 relative error = 2.070306831544165e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5670000000000001 y1[1] (analytic) = -0.8435160803285807 y1[1] (numeric) = -0.8435160803285806 absolute error = 1.110223024625157e-16 relative error = 1.316184777642512e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5371039212546371 y2[1] (numeric) = -0.5371039212546372 absolute error = 1.110223024625157e-16 relative error = 2.067054401747344e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5680000000000001 y1[1] (analytic) = -0.8429785547388383 y1[1] (numeric) = -0.8429785547388383 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5379471686424414 y2[1] (numeric) = -0.5379471686424415 absolute error = 1.110223024625157e-16 relative error = 2.063814235563142e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5690000000000001 y1[1] (analytic) = -0.8424401861706114 y1[1] (numeric) = -0.8424401861706114 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.538789878083122 y2[1] (numeric) = -0.5387898780831221 absolute error = 1.110223024625157e-16 relative error = 2.060586268945974e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5700000000000001 y1[1] (analytic) = -0.8419009751622687 y1[1] (numeric) = -0.8419009751622687 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5396320487339693 y2[1] (numeric) = -0.5396320487339694 absolute error = 1.110223024625157e-16 relative error = 2.057370438301155e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5710000000000001 y1[1] (analytic) = -0.8413609222530209 y1[1] (numeric) = -0.8413609222530209 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5404736797528129 y2[1] (numeric) = -0.540473679752813 absolute error = 1.110223024625157e-16 relative error = 2.054166680480944e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5720000000000001 y1[1] (analytic) = -0.840820027982921 y1[1] (numeric) = -0.840820027982921 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5413147702980217 y2[1] (numeric) = -0.5413147702980219 absolute error = 2.220446049250313e-16 relative error = 4.101949865561295e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5730000000000001 y1[1] (analytic) = -0.8402782928928632 y1[1] (numeric) = -0.8402782928928632 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5421553195285054 y2[1] (numeric) = -0.5421553195285056 absolute error = 2.220446049250313e-16 relative error = 4.095590265869496e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5740000000000001 y1[1] (analytic) = -0.8397357175245824 y1[1] (numeric) = -0.8397357175245824 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5429953266037146 y2[1] (numeric) = -0.5429953266037149 absolute error = 2.220446049250313e-16 relative error = 4.089254438226178e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5750000000000001 y1[1] (analytic) = -0.8391923024206541 y1[1] (numeric) = -0.8391923024206541 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5438347906836426 y2[1] (numeric) = -0.5438347906836428 absolute error = 2.220446049250313e-16 relative error = 4.082942259834167e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5760000000000001 y1[1] (analytic) = -0.8386480481244933 y1[1] (numeric) = -0.8386480481244933 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5446737109288252 y2[1] (numeric) = -0.5446737109288254 absolute error = 2.220446049250313e-16 relative error = 4.076653608751952e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5770000000000001 y1[1] (analytic) = -0.8381029551803544 y1[1] (numeric) = -0.8381029551803544 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5455120865003423 y2[1] (numeric) = -0.5455120865003424 absolute error = 1.110223024625157e-16 relative error = 2.035194181943134e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5780000000000001 y1[1] (analytic) = -0.83755702413333 y1[1] (numeric) = -0.83755702413333 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5463499165598183 y2[1] (numeric) = -0.5463499165598185 absolute error = 1.110223024625157e-16 relative error = 2.032073202492383e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5790000000000001 y1[1] (analytic) = -0.8370102555293514 y1[1] (numeric) = -0.8370102555293514 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5471872002694232 y2[1] (numeric) = -0.5471872002694235 absolute error = 2.220446049250313e-16 relative error = 4.057927612628755e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5800000000000001 y1[1] (analytic) = -0.8364626499151869 y1[1] (numeric) = -0.8364626499151869 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5480239367918737 y2[1] (numeric) = -0.5480239367918738 absolute error = 1.110223024625157e-16 relative error = 2.025865934113007e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5810000000000001 y1[1] (analytic) = -0.8359142078384423 y1[1] (numeric) = -0.8359142078384423 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5488601252904328 y2[1] (numeric) = -0.5488601252904329 absolute error = 1.110223024625157e-16 relative error = 2.022779527001848e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5820000000000001 y1[1] (analytic) = -0.8353649298475594 y1[1] (numeric) = -0.8353649298475594 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5496957649289125 y2[1] (numeric) = -0.5496957649289126 absolute error = 1.110223024625157e-16 relative error = 2.019704526500641e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5830000000000001 y1[1] (analytic) = -0.8348148164918163 y1[1] (numeric) = -0.8348148164918163 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.550530854871673 y2[1] (numeric) = -0.5505308548716731 absolute error = 1.110223024625157e-16 relative error = 2.016640874531812e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5840000000000001 y1[1] (analytic) = -0.8342638683213264 y1[1] (numeric) = -0.8342638683213264 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5513653942836245 y2[1] (numeric) = -0.5513653942836246 absolute error = 1.110223024625157e-16 relative error = 2.013588513417027e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5850000000000001 y1[1] (analytic) = -0.8337120858870375 y1[1] (numeric) = -0.8337120858870376 absolute error = 1.110223024625157e-16 relative error = 1.331662384915438e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5521993823302277 y2[1] (numeric) = -0.5521993823302278 absolute error = 1.110223024625157e-16 relative error = 2.010547385873782e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5860000000000001 y1[1] (analytic) = -0.8331594697407323 y1[1] (numeric) = -0.8331594697407324 absolute error = 1.110223024625157e-16 relative error = 1.33254564695837e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5530328181774945 y2[1] (numeric) = -0.5530328181774947 absolute error = 2.220446049250313e-16 relative error = 4.015034870024054e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5870000000000001 y1[1] (analytic) = -0.8326060204350269 y1[1] (numeric) = -0.8326060204350269 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5538657009919893 y2[1] (numeric) = -0.5538657009919895 absolute error = 2.220446049250313e-16 relative error = 4.00899720866165e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5880000000000001 y1[1] (analytic) = -0.8320517385233702 y1[1] (numeric) = -0.8320517385233703 absolute error = 1.110223024625157e-16 relative error = 1.334319698190226e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5546980299408293 y2[1] (numeric) = -0.5546980299408295 absolute error = 2.220446049250313e-16 relative error = 4.002981675430094e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5890000000000001 y1[1] (analytic) = -0.8314966245600445 y1[1] (numeric) = -0.8314966245600446 absolute error = 1.110223024625157e-16 relative error = 1.335210500959748e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5555298041916855 y2[1] (numeric) = -0.5555298041916857 absolute error = 2.220446049250313e-16 relative error = 3.996988158864197e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5900000000000001 y1[1] (analytic) = -0.8309406791001634 y1[1] (numeric) = -0.8309406791001636 absolute error = 1.110223024625157e-16 relative error = 1.336103830934636e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5563610229127839 y2[1] (numeric) = -0.5563610229127841 absolute error = 2.220446049250313e-16 relative error = 3.99101654825736e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5910000000000001 y1[1] (analytic) = -0.8303839026996725 y1[1] (numeric) = -0.8303839026996727 absolute error = 1.110223024625157e-16 relative error = 1.336999694979268e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5571916852729056 y2[1] (numeric) = -0.5571916852729059 absolute error = 2.220446049250313e-16 relative error = 3.985066733655162e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5920000000000001 y1[1] (analytic) = -0.8298262959153482 y1[1] (numeric) = -0.8298262959153483 absolute error = 1.110223024625157e-16 relative error = 1.337898099987919e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5580217904413886 y2[1] (numeric) = -0.5580217904413888 absolute error = 2.220446049250313e-16 relative error = 3.979138605849006e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5930000000000001 y1[1] (analytic) = -0.8292678593047971 y1[1] (numeric) = -0.8292678593047972 absolute error = 1.110223024625157e-16 relative error = 1.338799052884907e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5588513375881276 y2[1] (numeric) = -0.5588513375881278 absolute error = 2.220446049250313e-16 relative error = 3.973232056369842e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5940000000000001 y1[1] (analytic) = -0.8287085934264558 y1[1] (numeric) = -0.8287085934264559 absolute error = 1.110223024625157e-16 relative error = 1.339702560624749e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5596803258835755 y2[1] (numeric) = -0.5596803258835757 absolute error = 2.220446049250313e-16 relative error = 3.967346977481944e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5950000000000001 y1[1] (analytic) = -0.82814849883959 y1[1] (numeric) = -0.8281484988395902 absolute error = 2.220446049250313e-16 relative error = 2.68121726038461e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5605087544987443 y2[1] (numeric) = -0.5605087544987445 absolute error = 2.220446049250313e-16 relative error = 3.961483262176751e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5960000000000001 y1[1] (analytic) = -0.8275875761042945 y1[1] (numeric) = -0.8275875761042947 absolute error = 2.220446049250313e-16 relative error = 2.68303453720587e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5613366226052052 y2[1] (numeric) = -0.5613366226052054 absolute error = 2.220446049250313e-16 relative error = 3.955640804166771e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5970000000000001 y1[1] (analytic) = -0.8270258257814918 y1[1] (numeric) = -0.827025825781492 absolute error = 2.220446049250313e-16 relative error = 2.684856965805293e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5621639293750904 y2[1] (numeric) = -0.5621639293750905 absolute error = 1.110223024625157e-16 relative error = 1.974909748939774e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5980000000000001 y1[1] (analytic) = -0.8264632484329323 y1[1] (numeric) = -0.8264632484329324 absolute error = 1.110223024625157e-16 relative error = 1.343342280168253e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5629906739810929 y2[1] (numeric) = -0.5629906739810931 absolute error = 2.220446049250313e-16 relative error = 3.944019238451689e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.5990000000000001 y1[1] (analytic) = -0.8258998446211931 y1[1] (numeric) = -0.8258998446211933 absolute error = 1.110223024625157e-16 relative error = 1.344258667507524e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5638168555964685 y2[1] (numeric) = -0.5638168555964687 absolute error = 1.110223024625157e-16 relative error = 1.969119960861472e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6000000000000001 y1[1] (analytic) = -0.8253356149096782 y1[1] (numeric) = -0.8253356149096783 absolute error = 1.110223024625157e-16 relative error = 1.345177652059345e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5646424733950355 y2[1] (numeric) = -0.5646424733950356 absolute error = 1.110223024625157e-16 relative error = 1.966240722115181e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6010000000000001 y1[1] (analytic) = -0.8247705598626173 y1[1] (numeric) = -0.8247705598626173 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.565467526551176 y2[1] (numeric) = -0.5654675265511762 absolute error = 1.110223024625157e-16 relative error = 1.963371851601241e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6020000000000001 y1[1] (analytic) = -0.8242046800450651 y1[1] (numeric) = -0.8242046800450651 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5662920142398371 y2[1] (numeric) = -0.5662920142398373 absolute error = 2.220446049250313e-16 relative error = 3.921026596553603e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6030000000000001 y1[1] (analytic) = -0.8236379760229016 y1[1] (numeric) = -0.8236379760229016 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5671159356365313 y2[1] (numeric) = -0.5671159356365314 absolute error = 1.110223024625157e-16 relative error = 1.957665011439048e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6040000000000001 y1[1] (analytic) = -0.8230704483628306 y1[1] (numeric) = -0.8230704483628306 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.567939289917337 y2[1] (numeric) = -0.5679392899173371 absolute error = 1.110223024625157e-16 relative error = 1.954826940722394e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6050000000000001 y1[1] (analytic) = -0.8225020976323799 y1[1] (numeric) = -0.8225020976323799 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5687620762589001 y2[1] (numeric) = -0.5687620762589003 absolute error = 2.220446049250313e-16 relative error = 3.903998072191381e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6060000000000001 y1[1] (analytic) = -0.8219329243999002 y1[1] (numeric) = -0.8219329243999002 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5695842938384343 y2[1] (numeric) = -0.5695842938384346 absolute error = 2.220446049250313e-16 relative error = 3.898362495718947e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6070000000000001 y1[1] (analytic) = -0.8213629292345646 y1[1] (numeric) = -0.8213629292345646 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5704059418337223 y2[1] (numeric) = -0.5704059418337225 absolute error = 2.220446049250313e-16 relative error = 3.892747053286465e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6080000000000001 y1[1] (analytic) = -0.8207921127063681 y1[1] (numeric) = -0.8207921127063681 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5712270194231159 y2[1] (numeric) = -0.5712270194231162 absolute error = 2.220446049250313e-16 relative error = 3.887151646805413e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6090000000000001 y1[1] (analytic) = -0.8202204753861273 y1[1] (numeric) = -0.8202204753861273 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5720475257855376 y2[1] (numeric) = -0.572047525785538 absolute error = 3.33066907387547e-16 relative error = 5.822364268251634e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6100000000000001 y1[1] (analytic) = -0.8196480178454795 y1[1] (numeric) = -0.8196480178454795 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5728674601004814 y2[1] (numeric) = -0.5728674601004816 absolute error = 2.220446049250313e-16 relative error = 3.876020552573967e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6110000000000001 y1[1] (analytic) = -0.8190747406568821 y1[1] (numeric) = -0.8190747406568821 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5736868215480126 y2[1] (numeric) = -0.5736868215480129 absolute error = 2.220446049250313e-16 relative error = 3.870484671861128e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6120000000000001 y1[1] (analytic) = -0.8185006443936124 y1[1] (numeric) = -0.8185006443936124 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5745056093087703 y2[1] (numeric) = -0.5745056093087705 absolute error = 2.220446049250313e-16 relative error = 3.864968441164385e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6130000000000001 y1[1] (analytic) = -0.8179257296297664 y1[1] (numeric) = -0.8179257296297664 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5753238225639663 y2[1] (numeric) = -0.5753238225639666 absolute error = 3.33066907387547e-16 relative error = 5.789207648367725e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6140000000000001 y1[1] (analytic) = -0.817349996940259 y1[1] (numeric) = -0.817349996940259 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5761414604953878 y2[1] (numeric) = -0.5761414604953882 absolute error = 3.33066907387547e-16 relative error = 5.78099182622899e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6150000000000001 y1[1] (analytic) = -0.8167734469008228 y1[1] (numeric) = -0.8167734469008228 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5769585222853969 y2[1] (numeric) = -0.5769585222853972 absolute error = 3.33066907387547e-16 relative error = 5.772805054828411e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6160000000000001 y1[1] (analytic) = -0.8161960800880077 y1[1] (numeric) = -0.8161960800880077 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5777750071169316 y2[1] (numeric) = -0.5777750071169321 absolute error = 4.440892098500626e-16 relative error = 7.686196259440947e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6170000000000001 y1[1] (analytic) = -0.8156178970791806 y1[1] (numeric) = -0.8156178970791805 absolute error = 1.110223024625157e-16 relative error = 1.361204834519927e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5785909141735075 y2[1] (numeric) = -0.5785909141735079 absolute error = 4.440892098500626e-16 relative error = 7.67535747574649e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6180000000000001 y1[1] (analytic) = -0.8150388984525243 y1[1] (numeric) = -0.8150388984525243 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5794062426392175 y2[1] (numeric) = -0.5794062426392178 absolute error = 3.33066907387547e-16 relative error = 5.748417653741778e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6190000000000001 y1[1] (analytic) = -0.8144590847870375 y1[1] (numeric) = -0.8144590847870375 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.580220991698733 y2[1] (numeric) = -0.5802209916987333 absolute error = 3.33066907387547e-16 relative error = 5.740345698496973e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6200000000000001 y1[1] (analytic) = -0.8138784566625339 y1[1] (numeric) = -0.8138784566625339 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5810351605373052 y2[1] (numeric) = -0.5810351605373055 absolute error = 3.33066907387547e-16 relative error = 5.732302105083407e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6210000000000001 y1[1] (analytic) = -0.8132970146596413 y1[1] (numeric) = -0.8132970146596413 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5818487483407653 y2[1] (numeric) = -0.5818487483407656 absolute error = 3.33066907387547e-16 relative error = 5.724286738389324e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6220000000000001 y1[1] (analytic) = -0.8127147593598019 y1[1] (numeric) = -0.8127147593598019 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5826617542955255 y2[1] (numeric) = -0.5826617542955258 absolute error = 3.33066907387547e-16 relative error = 5.716299464176187e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6230000000000001 y1[1] (analytic) = -0.8121316913452709 y1[1] (numeric) = -0.8121316913452709 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5834741775885799 y2[1] (numeric) = -0.5834741775885803 absolute error = 4.440892098500626e-16 relative error = 7.61112019876224e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6240000000000001 y1[1] (analytic) = -0.8115478111991161 y1[1] (numeric) = -0.8115478111991161 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5842860174075054 y2[1] (numeric) = -0.5842860174075059 absolute error = 4.440892098500626e-16 relative error = 7.600544880750351e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6250000000000001 y1[1] (analytic) = -0.8109631195052178 y1[1] (numeric) = -0.8109631195052178 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5850972729404622 y2[1] (numeric) = -0.5850972729404627 absolute error = 4.440892098500626e-16 relative error = 7.590006489318433e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6260000000000001 y1[1] (analytic) = -0.8103776168482676 y1[1] (numeric) = -0.8103776168482676 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5859079433761949 y2[1] (numeric) = -0.5859079433761952 absolute error = 3.33066907387547e-16 relative error = 5.684628637534858e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6270000000000001 y1[1] (analytic) = -0.8097913038137681 y1[1] (numeric) = -0.8097913038137681 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5867180279040329 y2[1] (numeric) = -0.5867180279040333 absolute error = 3.33066907387547e-16 relative error = 5.676779842224745e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6280000000000001 y1[1] (analytic) = -0.8092041809880323 y1[1] (numeric) = -0.8092041809880322 absolute error = 1.110223024625157e-16 relative error = 1.37199368306474e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.587527525713892 y2[1] (numeric) = -0.5875275257138923 absolute error = 3.33066907387547e-16 relative error = 5.668958351914569e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6290000000000001 y1[1] (analytic) = -0.8086162489581828 y1[1] (numeric) = -0.8086162489581827 absolute error = 1.110223024625157e-16 relative error = 1.372991237877748e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5883364359962743 y2[1] (numeric) = -0.5883364359962746 absolute error = 3.33066907387547e-16 relative error = 5.661164038286015e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6300000000000001 y1[1] (analytic) = -0.8080275083121518 y1[1] (numeric) = -0.8080275083121518 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.5891447579422696 y2[1] (numeric) = -0.5891447579422699 absolute error = 3.33066907387547e-16 relative error = 5.653396773839822e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6310000000000001 y1[1] (analytic) = -0.8074379596386798 y1[1] (numeric) = -0.8074379596386798 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.589952490743556 y2[1] (numeric) = -0.5899524907435564 absolute error = 3.33066907387547e-16 relative error = 5.645656431889299e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6320000000000001 y1[1] (analytic) = -0.8068476035273155 y1[1] (numeric) = -0.8068476035273154 absolute error = 1.110223024625157e-16 relative error = 1.376000895053251e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.590759633592401 y2[1] (numeric) = -0.5907596335924012 absolute error = 2.220446049250313e-16 relative error = 3.758628591035938e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6330000000000001 y1[1] (analytic) = -0.8062564405684149 y1[1] (numeric) = -0.8062564405684148 absolute error = 1.110223024625157e-16 relative error = 1.377009805766567e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5915661856816615 y2[1] (numeric) = -0.5915661856816617 absolute error = 2.220446049250313e-16 relative error = 3.753504008501929e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6340000000000001 y1[1] (analytic) = -0.8056644713531409 y1[1] (numeric) = -0.8056644713531408 absolute error = 1.110223024625157e-16 relative error = 1.378021576104131e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5923721462047857 y2[1] (numeric) = -0.592372146204786 absolute error = 2.220446049250313e-16 relative error = 3.748397124132664e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6350000000000001 y1[1] (analytic) = -0.8050716964734627 y1[1] (numeric) = -0.8050716964734626 absolute error = 1.110223024625157e-16 relative error = 1.37903621439976e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.593177514355813 y2[1] (numeric) = -0.5931775143558132 absolute error = 2.220446049250313e-16 relative error = 3.743307855594802e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6360000000000001 y1[1] (analytic) = -0.8044781165221551 y1[1] (numeric) = -0.804478116522155 absolute error = 1.110223024625157e-16 relative error = 1.380053729024687e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5939822893293754 y2[1] (numeric) = -0.5939822893293756 absolute error = 2.220446049250313e-16 relative error = 3.738236121075708e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6370000000000001 y1[1] (analytic) = -0.8038837320927981 y1[1] (numeric) = -0.8038837320927978 absolute error = 2.220446049250313e-16 relative error = 2.76214825677551e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.594786470320698 y2[1] (numeric) = -0.5947864703206981 absolute error = 1.110223024625157e-16 relative error = 1.86659091963969e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6380000000000001 y1[1] (analytic) = -0.8032885437797759 y1[1] (numeric) = -0.8032885437797757 absolute error = 2.220446049250313e-16 relative error = 2.764194841871236e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5955900565255998 y2[1] (numeric) = -0.5955900565255999 absolute error = 1.110223024625157e-16 relative error = 1.864072464711198e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6390000000000001 y1[1] (analytic) = -0.8026925521782768 y1[1] (numeric) = -0.8026925521782766 absolute error = 2.220446049250313e-16 relative error = 2.766247230305876e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5963930471404947 y2[1] (numeric) = -0.5963930471404948 absolute error = 1.110223024625157e-16 relative error = 1.861562655614959e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6400000000000001 y1[1] (analytic) = -0.8020957578842925 y1[1] (numeric) = -0.8020957578842923 absolute error = 2.220446049250313e-16 relative error = 2.768305439125171e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5971954413623921 y2[1] (numeric) = -0.5971954413623922 absolute error = 1.110223024625157e-16 relative error = 1.859061452465856e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6410000000000001 y1[1] (analytic) = -0.8014981614946172 y1[1] (numeric) = -0.8014981614946169 absolute error = 2.220446049250313e-16 relative error = 2.770369485451684e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5979972383888981 y2[1] (numeric) = -0.5979972383888981 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] = 0.6420000000000001 y1[1] (analytic) = -0.8008997636068471 y1[1] (numeric) = -0.8008997636068469 absolute error = 2.220446049250313e-16 relative error = 2.772439386485205e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5987984374182154 y2[1] (numeric) = -0.5987984374182154 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] = 0.6430000000000001 y1[1] (analytic) = -0.8003005648193803 y1[1] (numeric) = -0.8003005648193799 absolute error = 3.33066907387547e-16 relative error = 4.161772739254742e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.5995990376491451 y2[1] (numeric) = -0.5995990376491451 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] = 0.6440000000000001 y1[1] (analytic) = -0.7997005657314152 y1[1] (numeric) = -0.7997005657314149 absolute error = 3.33066907387547e-16 relative error = 4.164895232791541e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6003990382810873 y2[1] (numeric) = -0.6003990382810872 absolute error = 1.110223024625157e-16 relative error = 1.8491419103596e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6450000000000001 y1[1] (analytic) = -0.799099766942951 y1[1] (numeric) = -0.7990997669429508 absolute error = 2.220446049250313e-16 relative error = 2.778684390992738e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6011984385140411 y2[1] (numeric) = -0.6011984385140411 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] = 0.6460000000000001 y1[1] (analytic) = -0.7984981690547865 y1[1] (numeric) = -0.7984981690547863 absolute error = 2.220446049250313e-16 relative error = 2.780777884411108e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6019972375486066 y2[1] (numeric) = -0.6019972375486066 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] = 0.6470000000000001 y1[1] (analytic) = -0.7978957726685196 y1[1] (numeric) = -0.7978957726685193 absolute error = 3.33066907387547e-16 relative error = 4.174315979562375e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6027954345859847 y2[1] (numeric) = -0.6027954345859846 absolute error = 1.110223024625157e-16 relative error = 1.841790698676552e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6480000000000001 y1[1] (analytic) = -0.7972925783865464 y1[1] (numeric) = -0.7972925783865461 absolute error = 3.33066907387547e-16 relative error = 4.177474071833993e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6035930288279784 y2[1] (numeric) = -0.6035930288279784 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] = 0.6490000000000001 y1[1] (analytic) = -0.7966885868120613 y1[1] (numeric) = -0.796688586812061 absolute error = 3.33066907387547e-16 relative error = 4.180641130059485e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6043900194769936 y2[1] (numeric) = -0.6043900194769936 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] = 0.6500000000000001 y1[1] (analytic) = -0.7960837985490558 y1[1] (numeric) = -0.7960837985490554 absolute error = 3.33066907387547e-16 relative error = 4.183817180987674e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6051864057360397 y2[1] (numeric) = -0.6051864057360397 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] = 0.6510000000000001 y1[1] (analytic) = -0.795478214202318 y1[1] (numeric) = -0.7954782142023177 absolute error = 3.33066907387547e-16 relative error = 4.187002251488893e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6059821868087304 y2[1] (numeric) = -0.6059821868087304 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] = 0.6520000000000001 y1[1] (analytic) = -0.7948718343774324 y1[1] (numeric) = -0.794871834377432 absolute error = 3.33066907387547e-16 relative error = 4.19019636855563e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6067773618992849 y2[1] (numeric) = -0.6067773618992849 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] = 0.6530000000000001 y1[1] (analytic) = -0.7942646596807785 y1[1] (numeric) = -0.7942646596807782 absolute error = 3.33066907387547e-16 relative error = 4.193399559303183e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6075719302125281 y2[1] (numeric) = -0.607571930212528 absolute error = 1.110223024625157e-16 relative error = 1.827311252244325e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6540000000000001 y1[1] (analytic) = -0.7936566907195313 y1[1] (numeric) = -0.7936566907195309 absolute error = 3.33066907387547e-16 relative error = 4.196611850970318e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6083658909538916 y2[1] (numeric) = -0.6083658909538915 absolute error = 1.110223024625157e-16 relative error = 1.824926481141759e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6550000000000001 y1[1] (analytic) = -0.7930479281016594 y1[1] (numeric) = -0.793047928101659 absolute error = 3.33066907387547e-16 relative error = 4.199833270919935e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6091592433294148 y2[1] (numeric) = -0.6091592433294147 absolute error = 1.110223024625157e-16 relative error = 1.822549746692067e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6560000000000001 y1[1] (analytic) = -0.7924383724359255 y1[1] (numeric) = -0.7924383724359252 absolute error = 3.33066907387547e-16 relative error = 4.203063846639732e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6099519865457457 y2[1] (numeric) = -0.6099519865457455 absolute error = 2.220446049250313e-16 relative error = 3.640362025583439e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6570000000000001 y1[1] (analytic) = -0.7918280243318851 y1[1] (numeric) = -0.7918280243318849 absolute error = 2.220446049250313e-16 relative error = 2.804202403828587e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6107441198101407 y2[1] (numeric) = -0.6107441198101404 absolute error = 2.220446049250313e-16 relative error = 3.635640487116885e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6580000000000001 y1[1] (analytic) = -0.7912168843998866 y1[1] (numeric) = -0.7912168843998862 absolute error = 3.33066907387547e-16 relative error = 4.209552575968698e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6115356423304668 y2[1] (numeric) = -0.6115356423304665 absolute error = 2.220446049250313e-16 relative error = 3.630934806659086e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6590000000000001 y1[1] (analytic) = -0.7906049532510695 y1[1] (numeric) = -0.7906049532510692 absolute error = 3.33066907387547e-16 relative error = 4.212810785183332e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6123265533152015 y2[1] (numeric) = -0.6123265533152012 absolute error = 2.220446049250313e-16 relative error = 3.626244913320483e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6600000000000001 y1[1] (analytic) = -0.789992231497365 y1[1] (numeric) = -0.7899922314973647 absolute error = 2.220446049250313e-16 relative error = 2.810718840920298e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6131168519734339 y2[1] (numeric) = -0.6131168519734337 absolute error = 2.220446049250313e-16 relative error = 3.621570736644055e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6610000000000001 y1[1] (analytic) = -0.7893787197514949 y1[1] (numeric) = -0.7893787197514947 absolute error = 2.220446049250313e-16 relative error = 2.81290335512127e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6139065375148655 y2[1] (numeric) = -0.6139065375148652 absolute error = 2.220446049250313e-16 relative error = 3.616912206602045e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6620000000000001 y1[1] (analytic) = -0.7887644186269708 y1[1] (numeric) = -0.7887644186269706 absolute error = 2.220446049250313e-16 relative error = 2.815094084892317e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6146956091498107 y2[1] (numeric) = -0.6146956091498105 absolute error = 2.220446049250313e-16 relative error = 3.612269253592727e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6630000000000001 y1[1] (analytic) = -0.7881493287380937 y1[1] (numeric) = -0.7881493287380935 absolute error = 2.220446049250313e-16 relative error = 2.81729104915368e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6154840660891979 y2[1] (numeric) = -0.6154840660891977 absolute error = 2.220446049250313e-16 relative error = 3.607641808437197e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6640000000000001 y1[1] (analytic) = -0.7875334506999537 y1[1] (numeric) = -0.7875334506999535 absolute error = 2.220446049250313e-16 relative error = 2.819494266912469e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6162719075445704 y2[1] (numeric) = -0.6162719075445702 absolute error = 2.220446049250313e-16 relative error = 3.603029802376193e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6650000000000001 y1[1] (analytic) = -0.7869167851284286 y1[1] (numeric) = -0.7869167851284283 absolute error = 2.220446049250313e-16 relative error = 2.821703757263134e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6170591327280868 y2[1] (numeric) = -0.6170591327280864 absolute error = 3.33066907387547e-16 relative error = 5.397649750600421e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6660000000000001 y1[1] (analytic) = -0.7862993326401839 y1[1] (numeric) = -0.7862993326401837 absolute error = 2.220446049250313e-16 relative error = 2.82391953938794e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6178457408525218 y2[1] (numeric) = -0.6178457408525214 absolute error = 3.33066907387547e-16 relative error = 5.390777751870093e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6670000000000001 y1[1] (analytic) = -0.7856810938526722 y1[1] (numeric) = -0.7856810938526719 absolute error = 2.220446049250313e-16 relative error = 2.826141632557449e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6186317311312673 y2[1] (numeric) = -0.618631731131267 absolute error = 3.33066907387547e-16 relative error = 5.383928606094626e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6680000000000001 y1[1] (analytic) = -0.7850620693841319 y1[1] (numeric) = -0.7850620693841318 absolute error = 1.110223024625157e-16 relative error = 1.414185028065498e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6194171027783334 y2[1] (numeric) = -0.6194171027783331 absolute error = 3.33066907387547e-16 relative error = 5.377102212606153e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6690000000000002 y1[1] (analytic) = -0.7844422598535878 y1[1] (numeric) = -0.7844422598535876 absolute error = 2.220446049250313e-16 relative error = 2.830604829557179e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6202018550083482 y2[1] (numeric) = -0.6202018550083479 absolute error = 3.33066907387547e-16 relative error = 5.370298471343071e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6700000000000002 y1[1] (analytic) = -0.7838216658808492 y1[1] (numeric) = -0.783821665880849 absolute error = 2.220446049250313e-16 relative error = 2.832845972374345e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6209859870365598 y2[1] (numeric) = -0.6209859870365595 absolute error = 3.33066907387547e-16 relative error = 5.363517282845515e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6710000000000002 y1[1] (analytic) = -0.78320028808651 y1[1] (numeric) = -0.7832002880865099 absolute error = 1.110223024625157e-16 relative error = 1.417546752105541e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6217694980788361 y2[1] (numeric) = -0.6217694980788357 absolute error = 3.33066907387547e-16 relative error = 5.356758548250889e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6720000000000002 y1[1] (analytic) = -0.782578127091948 y1[1] (numeric) = -0.7825781270919479 absolute error = 1.110223024625157e-16 relative error = 1.418673722393358e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6225523873516661 y2[1] (numeric) = -0.6225523873516657 absolute error = 3.33066907387547e-16 relative error = 5.350022169289423e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6730000000000002 y1[1] (analytic) = -0.7819551835193241 y1[1] (numeric) = -0.781955183519324 absolute error = 1.110223024625157e-16 relative error = 1.419803906955903e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6233346540721606 y2[1] (numeric) = -0.6233346540721603 absolute error = 3.33066907387547e-16 relative error = 5.343308048279782e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6740000000000002 y1[1] (analytic) = -0.7813314579915819 y1[1] (numeric) = -0.7813314579915818 absolute error = 1.110223024625157e-16 relative error = 1.420937315744323e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.624116297458053 y2[1] (numeric) = -0.6241162974580526 absolute error = 3.33066907387547e-16 relative error = 5.336616088124705e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6750000000000002 y1[1] (analytic) = -0.7807069511324468 y1[1] (numeric) = -0.7807069511324467 absolute error = 1.110223024625157e-16 relative error = 1.422073958755886e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6248973167277 y2[1] (numeric) = -0.6248973167276995 absolute error = 4.440892098500626e-16 relative error = 7.106594923075581e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6760000000000002 y1[1] (analytic) = -0.7800816635664256 y1[1] (numeric) = -0.7800816635664255 absolute error = 1.110223024625157e-16 relative error = 1.423213846034235e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6256777111000823 y2[1] (numeric) = -0.6256777111000819 absolute error = 4.440892098500626e-16 relative error = 7.097731019844927e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6770000000000002 y1[1] (analytic) = -0.7794555959188059 y1[1] (numeric) = -0.7794555959188058 absolute error = 1.110223024625157e-16 relative error = 1.424356987669643e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6264574797948056 y2[1] (numeric) = -0.6264574797948051 absolute error = 4.440892098500626e-16 relative error = 7.088896280646578e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6780000000000002 y1[1] (analytic) = -0.7788287488156551 y1[1] (numeric) = -0.778828748815655 absolute error = 1.110223024625157e-16 relative error = 1.425503393799271e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6272366220321014 y2[1] (numeric) = -0.627236622032101 absolute error = 4.440892098500626e-16 relative error = 7.080090579075507e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6790000000000002 y1[1] (analytic) = -0.7782011228838205 y1[1] (numeric) = -0.7782011228838204 absolute error = 1.110223024625157e-16 relative error = 1.426653074607429e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6280151370328273 y2[1] (numeric) = -0.628015137032827 absolute error = 3.33066907387547e-16 relative error = 5.303485342107877e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6800000000000002 y1[1] (analytic) = -0.7775727187509278 y1[1] (numeric) = -0.7775727187509277 absolute error = 1.110223024625157e-16 relative error = 1.427806040325835e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6287930240184686 y2[1] (numeric) = -0.6287930240184683 absolute error = 3.33066907387547e-16 relative error = 5.296924340206489e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6810000000000002 y1[1] (analytic) = -0.7769435370453812 y1[1] (numeric) = -0.7769435370453811 absolute error = 1.110223024625157e-16 relative error = 1.428962301233878e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6295702822111383 y2[1] (numeric) = -0.629570282211138 absolute error = 3.33066907387547e-16 relative error = 5.290384835474916e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6820000000000002 y1[1] (analytic) = -0.7763135783963623 y1[1] (numeric) = -0.7763135783963622 absolute error = 1.110223024625157e-16 relative error = 1.430121867658883e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6303469108335782 y2[1] (numeric) = -0.6303469108335779 absolute error = 3.33066907387547e-16 relative error = 5.283866735336187e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6830000000000002 y1[1] (analytic) = -0.7756828434338296 y1[1] (numeric) = -0.7756828434338295 absolute error = 1.110223024625157e-16 relative error = 1.43128474997638e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6311229091091598 y2[1] (numeric) = -0.6311229091091595 absolute error = 3.33066907387547e-16 relative error = 5.277369947759879e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6840000000000002 y1[1] (analytic) = -0.7750513327885182 y1[1] (numeric) = -0.7750513327885181 absolute error = 1.110223024625157e-16 relative error = 1.432450958610368e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.631898276261885 y2[1] (numeric) = -0.6318982762618846 absolute error = 4.440892098500626e-16 relative error = 7.027859175010845e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6850000000000002 y1[1] (analytic) = -0.7744190470919387 y1[1] (numeric) = -0.7744190470919385 absolute error = 1.110223024625157e-16 relative error = 1.433620504033589e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6326730115163864 y2[1] (numeric) = -0.632673011516386 absolute error = 4.440892098500626e-16 relative error = 7.019253259842278e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6860000000000002 y1[1] (analytic) = -0.7737859869763765 y1[1] (numeric) = -0.7737859869763763 absolute error = 1.110223024625157e-16 relative error = 1.434793396767796e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6334471140979292 y2[1] (numeric) = -0.6334471140979288 absolute error = 4.440892098500626e-16 relative error = 7.010675397621397e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6870000000000002 y1[1] (analytic) = -0.7731521530748918 y1[1] (numeric) = -0.7731521530748917 absolute error = 1.110223024625157e-16 relative error = 1.435969647384031e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6342205832324106 y2[1] (numeric) = -0.6342205832324102 absolute error = 4.440892098500626e-16 relative error = 7.002125468503216e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6880000000000002 y1[1] (analytic) = -0.7725175460213185 y1[1] (numeric) = -0.7725175460213184 absolute error = 1.110223024625157e-16 relative error = 1.437149266502898e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6349934181463616 y2[1] (numeric) = -0.6349934181463611 absolute error = 4.440892098500626e-16 relative error = 6.99360335334536e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6890000000000002 y1[1] (analytic) = -0.7718821664502635 y1[1] (numeric) = -0.7718821664502634 absolute error = 1.110223024625157e-16 relative error = 1.438332264794842e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6357656180669474 y2[1] (numeric) = -0.6357656180669469 absolute error = 5.551115123125783e-16 relative error = 8.731386167128715e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6900000000000002 y1[1] (analytic) = -0.7712460149971065 y1[1] (numeric) = -0.7712460149971063 absolute error = 2.220446049250313e-16 relative error = 2.879037305960852e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6365371822219681 y2[1] (numeric) = -0.6365371822219675 absolute error = 5.551115123125783e-16 relative error = 8.720802614779607e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6910000000000002 y1[1] (analytic) = -0.7706090922979987 y1[1] (numeric) = -0.7706090922979986 absolute error = 1.110223024625157e-16 relative error = 1.440708441830618e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6373081098398596 y2[1] (numeric) = -0.6373081098398591 absolute error = 5.551115123125783e-16 relative error = 8.710253388303259e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6920000000000002 y1[1] (analytic) = -0.7699713989898628 y1[1] (numeric) = -0.7699713989898627 absolute error = 1.110223024625157e-16 relative error = 1.441901642167066e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6380784001496944 y2[1] (numeric) = -0.6380784001496939 absolute error = 5.551115123125783e-16 relative error = 8.699738342221709e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6930000000000002 y1[1] (analytic) = -0.7693329357103921 y1[1] (numeric) = -0.769332935710392 absolute error = 1.110223024625157e-16 relative error = 1.443098264862391e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6388480523811823 y2[1] (numeric) = -0.6388480523811817 absolute error = 5.551115123125783e-16 relative error = 8.689257331904007e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6940000000000002 y1[1] (analytic) = -0.7686937030980497 y1[1] (numeric) = -0.7686937030980496 absolute error = 1.110223024625157e-16 relative error = 1.444298320840471e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6396170657646709 y2[1] (numeric) = -0.6396170657646704 absolute error = 5.551115123125783e-16 relative error = 8.678810213560123e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6950000000000002 y1[1] (analytic) = -0.7680537017920684 y1[1] (numeric) = -0.7680537017920683 absolute error = 1.110223024625157e-16 relative error = 1.445501821076727e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6403854395311471 y2[1] (numeric) = -0.6403854395311466 absolute error = 5.551115123125783e-16 relative error = 8.668396844234912e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6960000000000002 y1[1] (analytic) = -0.7674129324324492 y1[1] (numeric) = -0.7674129324324492 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.6411531729122372 y2[1] (numeric) = -0.6411531729122366 absolute error = 5.551115123125783e-16 relative error = 8.658017081802128e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6970000000000002 y1[1] (analytic) = -0.7667713956599617 y1[1] (numeric) = -0.7667713956599617 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.6419202651402077 y2[1] (numeric) = -0.6419202651402072 absolute error = 5.551115123125783e-16 relative error = 8.647670784958491e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6980000000000002 y1[1] (analytic) = -0.7661290921161423 y1[1] (numeric) = -0.7661290921161423 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.6426867154479666 y2[1] (numeric) = -0.6426867154479661 absolute error = 5.551115123125783e-16 relative error = 8.637357813217805e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.6990000000000002 y1[1] (analytic) = -0.7654860224432947 y1[1] (numeric) = -0.7654860224432947 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.6434525230690636 y2[1] (numeric) = -0.6434525230690631 absolute error = 5.551115123125783e-16 relative error = 8.627078026905127e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7000000000000002 y1[1] (analytic) = -0.7648421872844883 y1[1] (numeric) = -0.7648421872844884 absolute error = 1.110223024625157e-16 relative error = 1.451571373915599e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6442176872376912 y2[1] (numeric) = -0.6442176872376907 absolute error = 5.551115123125783e-16 relative error = 8.61683128715098e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7010000000000002 y1[1] (analytic) = -0.7641975872835585 y1[1] (numeric) = -0.7641975872835586 absolute error = 1.110223024625157e-16 relative error = 1.452795773108354e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6449822071886853 y2[1] (numeric) = -0.6449822071886847 absolute error = 5.551115123125783e-16 relative error = 8.606617455885633e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7020000000000002 y1[1] (analytic) = -0.763552223085105 y1[1] (numeric) = -0.7635522230851052 absolute error = 2.220446049250313e-16 relative error = 2.908047389710532e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6457460821575258 y2[1] (numeric) = -0.6457460821575253 absolute error = 5.551115123125783e-16 relative error = 8.596436395833405e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7030000000000002 y1[1] (analytic) = -0.7629060953344921 y1[1] (numeric) = -0.7629060953344923 absolute error = 2.220446049250313e-16 relative error = 2.910510301109563e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6465093113803381 y2[1] (numeric) = -0.6465093113803375 absolute error = 5.551115123125783e-16 relative error = 8.586287970507034e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7040000000000002 y1[1] (analytic) = -0.7622592046778475 y1[1] (numeric) = -0.7622592046778476 absolute error = 1.110223024625157e-16 relative error = 1.45649015165959e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6472718940938927 y2[1] (numeric) = -0.6472718940938923 absolute error = 4.440892098500626e-16 relative error = 6.860937635361677e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7050000000000002 y1[1] (analytic) = -0.7616115517620616 y1[1] (numeric) = -0.7616115517620617 absolute error = 1.110223024625157e-16 relative error = 1.457728709676933e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6480338295356073 y2[1] (numeric) = -0.6480338295356068 absolute error = 4.440892098500626e-16 relative error = 6.852870785593168e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7060000000000002 y1[1] (analytic) = -0.7609631372347875 y1[1] (numeric) = -0.7609631372347876 absolute error = 1.110223024625157e-16 relative error = 1.458970836168912e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6487951169435464 y2[1] (numeric) = -0.6487951169435459 absolute error = 5.551115123125783e-16 relative error = 8.556037149719796e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7070000000000002 y1[1] (analytic) = -0.7603139617444395 y1[1] (numeric) = -0.7603139617444397 absolute error = 1.110223024625157e-16 relative error = 1.460216542752808e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6495557555564225 y2[1] (numeric) = -0.649555755556422 absolute error = 5.551115123125783e-16 relative error = 8.546017913998138e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7080000000000002 y1[1] (analytic) = -0.7596640259401932 y1[1] (numeric) = -0.7596640259401933 absolute error = 1.110223024625157e-16 relative error = 1.461465841101395e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6503157446135973 y2[1] (numeric) = -0.6503157446135968 absolute error = 5.551115123125783e-16 relative error = 8.536030642198472e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7090000000000002 y1[1] (analytic) = -0.7590133304719843 y1[1] (numeric) = -0.7590133304719844 absolute error = 1.110223024625157e-16 relative error = 1.462718742943258e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6510750833550816 y2[1] (numeric) = -0.6510750833550811 absolute error = 4.440892098500626e-16 relative error = 6.820860161958716e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7100000000000002 y1[1] (analytic) = -0.7583618759905081 y1[1] (numeric) = -0.7583618759905082 absolute error = 1.110223024625157e-16 relative error = 1.463975260063116e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6518337710215368 y2[1] (numeric) = -0.6518337710215364 absolute error = 4.440892098500626e-16 relative error = 6.812921170900636e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7110000000000002 y1[1] (analytic) = -0.7577096631472191 y1[1] (numeric) = -0.7577096631472192 absolute error = 1.110223024625157e-16 relative error = 1.465235404302143e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6525918068542753 y2[1] (numeric) = -0.6525918068542749 absolute error = 4.440892098500626e-16 relative error = 6.805007436282882e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7120000000000002 y1[1] (analytic) = -0.7570566925943301 y1[1] (numeric) = -0.7570566925943303 absolute error = 2.220446049250313e-16 relative error = 2.932998375116594e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6533491900952614 y2[1] (numeric) = -0.6533491900952609 absolute error = 4.440892098500626e-16 relative error = 6.797118854395646e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7130000000000002 y1[1] (analytic) = -0.7564029649848116 y1[1] (numeric) = -0.7564029649848117 absolute error = 1.110223024625157e-16 relative error = 1.467766621786642e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6541059199871118 y2[1] (numeric) = -0.6541059199871113 absolute error = 4.440892098500626e-16 relative error = 6.789255322116834e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7140000000000002 y1[1] (analytic) = -0.7557484809723911 y1[1] (numeric) = -0.7557484809723913 absolute error = 2.220446049250313e-16 relative error = 2.938075437999365e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6548619957730967 y2[1] (numeric) = -0.6548619957730962 absolute error = 4.440892098500626e-16 relative error = 6.781416736907958e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7150000000000002 y1[1] (analytic) = -0.7550932412115527 y1[1] (numeric) = -0.7550932412115529 absolute error = 1.110223024625157e-16 relative error = 1.470312491267695e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6556174166971405 y2[1] (numeric) = -0.6556174166971399 absolute error = 5.551115123125783e-16 relative error = 8.467003746012586e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7160000000000002 y1[1] (analytic) = -0.754437246357536 y1[1] (numeric) = -0.7544372463575362 absolute error = 2.220446049250313e-16 relative error = 2.943181901438121e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6563721820038221 y2[1] (numeric) = -0.6563721820038215 absolute error = 5.551115123125783e-16 relative error = 8.457267500549647e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7170000000000002 y1[1] (analytic) = -0.7537804970663358 y1[1] (numeric) = -0.753780497066336 absolute error = 2.220446049250313e-16 relative error = 2.945746219081209e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6571262909383764 y2[1] (numeric) = -0.6571262909383758 absolute error = 5.551115123125783e-16 relative error = 8.447562058731192e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7180000000000002 y1[1] (analytic) = -0.7531229939947013 y1[1] (numeric) = -0.7531229939947015 absolute error = 2.220446049250313e-16 relative error = 2.948317959955868e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6578797427466946 y2[1] (numeric) = -0.657879742746694 absolute error = 5.551115123125783e-16 relative error = 8.437887295251687e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7190000000000002 y1[1] (analytic) = -0.7524647378001357 y1[1] (numeric) = -0.7524647378001358 absolute error = 1.110223024625157e-16 relative error = 1.47544857433578e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6586325366753248 y2[1] (numeric) = -0.6586325366753243 absolute error = 5.551115123125783e-16 relative error = 8.428243085510099e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7200000000000002 y1[1] (analytic) = -0.7518057291408948 y1[1] (numeric) = -0.7518057291408951 absolute error = 2.220446049250313e-16 relative error = 2.953483809956684e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6593846719714733 y2[1] (numeric) = -0.6593846719714728 absolute error = 5.551115123125783e-16 relative error = 8.418629305604997e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7210000000000002 y1[1] (analytic) = -0.7511459686759876 y1[1] (numeric) = -0.7511459686759878 absolute error = 2.220446049250313e-16 relative error = 2.95607796865927e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6601361478830048 y2[1] (numeric) = -0.6601361478830042 absolute error = 5.551115123125783e-16 relative error = 8.409045832329728e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7220000000000002 y1[1] (analytic) = -0.7504854570651742 y1[1] (numeric) = -0.7504854570651744 absolute error = 2.220446049250313e-16 relative error = 2.958679649747675e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6608869636584433 y2[1] (numeric) = -0.6608869636584428 absolute error = 5.551115123125783e-16 relative error = 8.399492543167617e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7230000000000002 y1[1] (analytic) = -0.7498241949689664 y1[1] (numeric) = -0.7498241949689666 absolute error = 2.220446049250313e-16 relative error = 2.961288878311286e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6616371185469733 y2[1] (numeric) = -0.6616371185469728 absolute error = 4.440892098500626e-16 relative error = 6.711975453029761e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7240000000000002 y1[1] (analytic) = -0.7491621830486259 y1[1] (numeric) = -0.7491621830486263 absolute error = 3.33066907387547e-16 relative error = 4.445858519341847e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6623866117984398 y2[1] (numeric) = -0.6623866117984394 absolute error = 4.440892098500626e-16 relative error = 6.704380824430012e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7250000000000002 y1[1] (analytic) = -0.7484994219661649 y1[1] (numeric) = -0.7484994219661653 absolute error = 3.33066907387547e-16 relative error = 4.449795118246636e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6631354426633498 y2[1] (numeric) = -0.6631354426633493 absolute error = 4.440892098500626e-16 relative error = 6.696810052354732e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7260000000000002 y1[1] (analytic) = -0.7478359123843444 y1[1] (numeric) = -0.7478359123843447 absolute error = 2.220446049250313e-16 relative error = 2.969162101577615e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6638836103928724 y2[1] (numeric) = -0.6638836103928719 absolute error = 4.440892098500626e-16 relative error = 6.689263040960748e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7270000000000002 y1[1] (analytic) = -0.7471716549666737 y1[1] (numeric) = -0.747171654966674 absolute error = 3.33066907387547e-16 relative error = 4.457702660072174e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6646311142388399 y2[1] (numeric) = -0.6646311142388394 absolute error = 5.551115123125783e-16 relative error = 8.352174618672682e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7280000000000002 y1[1] (analytic) = -0.7465066503774104 y1[1] (numeric) = -0.7465066503774107 absolute error = 3.33066907387547e-16 relative error = 4.46167367992179e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6653779534537485 y2[1] (numeric) = -0.665377953453748 absolute error = 5.551115123125783e-16 relative error = 8.342799899383275e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7290000000000002 y1[1] (analytic) = -0.7458408992815589 y1[1] (numeric) = -0.7458408992815592 absolute error = 2.220446049250313e-16 relative error = 2.977104167107472e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6661241272907592 y2[1] (numeric) = -0.6661241272907585 absolute error = 6.661338147750939e-16 relative error = 1.000014543061778e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7300000000000002 y1[1] (analytic) = -0.7451744023448702 y1[1] (numeric) = -0.7451744023448705 absolute error = 3.33066907387547e-16 relative error = 4.469650411225506e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.666869635003698 y2[1] (numeric) = -0.6668696350036974 absolute error = 5.551115123125783e-16 relative error = 8.324138379902392e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7310000000000002 y1[1] (analytic) = -0.7445071602338413 y1[1] (numeric) = -0.7445071602338417 absolute error = 3.33066907387547e-16 relative error = 4.473656200740022e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6676144758470575 y2[1] (numeric) = -0.6676144758470569 absolute error = 5.551115123125783e-16 relative error = 8.314851346029646e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7320000000000002 y1[1] (analytic) = -0.7438391736157143 y1[1] (numeric) = -0.7438391736157146 absolute error = 3.33066907387547e-16 relative error = 4.47767365852148e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6683586490759966 y2[1] (numeric) = -0.6683586490759961 absolute error = 5.551115123125783e-16 relative error = 8.305593308024336e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7330000000000002 y1[1] (analytic) = -0.7431704431584756 y1[1] (numeric) = -0.7431704431584759 absolute error = 3.33066907387547e-16 relative error = 4.481702824079118e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6691021539463425 y2[1] (numeric) = -0.6691021539463419 absolute error = 6.661338147750939e-16 relative error = 9.955636980784751e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7340000000000002 y1[1] (analytic) = -0.7425009695308556 y1[1] (numeric) = -0.742500969530856 absolute error = 3.33066907387547e-16 relative error = 4.485743737115833e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6698449897145902 y2[1] (numeric) = -0.6698449897145895 absolute error = 6.661338147750939e-16 relative error = 9.944596511185708e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7350000000000002 y1[1] (analytic) = -0.7418307534023281 y1[1] (numeric) = -0.7418307534023284 absolute error = 3.33066907387547e-16 relative error = 4.489796437529328e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6705871556379039 y2[1] (numeric) = -0.6705871556379033 absolute error = 6.661338147750939e-16 relative error = 9.933590424072861e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7360000000000002 y1[1] (analytic) = -0.7411597954431088 y1[1] (numeric) = -0.7411597954431093 absolute error = 4.440892098500626e-16 relative error = 5.991814620551025e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6713286509741179 y2[1] (numeric) = -0.6713286509741173 absolute error = 5.551115123125783e-16 relative error = 8.268848819532652e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7370000000000002 y1[1] (analytic) = -0.740488096324156 y1[1] (numeric) = -0.7404880963241565 absolute error = 4.440892098500626e-16 relative error = 5.9972498147446e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6720694749817369 y2[1] (numeric) = -0.6720694749817363 absolute error = 5.551115123125783e-16 relative error = 8.259734045020616e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7380000000000002 y1[1] (analytic) = -0.7398156567171685 y1[1] (numeric) = -0.739815656717169 absolute error = 4.440892098500626e-16 relative error = 6.002700886605295e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6728096269199368 y2[1] (numeric) = -0.6728096269199363 absolute error = 5.551115123125783e-16 relative error = 8.250647584426368e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7390000000000002 y1[1] (analytic) = -0.739142477294586 y1[1] (numeric) = -0.7391424772945865 absolute error = 4.440892098500626e-16 relative error = 6.008167890384554e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.673549106048566 y2[1] (numeric) = -0.6735491060485654 absolute error = 5.551115123125783e-16 relative error = 8.241589326265874e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7400000000000002 y1[1] (analytic) = -0.7384685587295877 y1[1] (numeric) = -0.7384685587295883 absolute error = 5.551115123125783e-16 relative error = 7.51706360075174e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6742879116281453 y2[1] (numeric) = -0.6742879116281446 absolute error = 6.661338147750939e-16 relative error = 9.879070991598198e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7410000000000002 y1[1] (analytic) = -0.7377939016960924 y1[1] (numeric) = -0.7377939016960928 absolute error = 4.440892098500626e-16 relative error = 6.01914991204399e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.675026042919869 y2[1] (numeric) = -0.6750260429198683 absolute error = 6.661338147750939e-16 relative error = 9.868268369227486e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7420000000000002 y1[1] (analytic) = -0.7371185068687567 y1[1] (numeric) = -0.7371185068687572 absolute error = 5.551115123125783e-16 relative error = 7.530831299714136e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6757634991856061 y2[1] (numeric) = -0.6757634991856054 absolute error = 6.661338147750939e-16 relative error = 9.857499192807583e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7430000000000002 y1[1] (analytic) = -0.7364423749229756 y1[1] (numeric) = -0.7364423749229762 absolute error = 5.551115123125783e-16 relative error = 7.537745398893393e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6765002796879004 y2[1] (numeric) = -0.6765002796878996 absolute error = 7.771561172376096e-16 relative error = 1.148789055336601e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7440000000000002 y1[1] (analytic) = -0.7357655065348809 y1[1] (numeric) = -0.7357655065348815 absolute error = 5.551115123125783e-16 relative error = 7.544679757099509e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6772363836899713 y2[1] (numeric) = -0.6772363836899705 absolute error = 7.771561172376096e-16 relative error = 1.147540409750608e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7450000000000002 y1[1] (analytic) = -0.7350879023813411 y1[1] (numeric) = -0.7350879023813416 absolute error = 4.440892098500626e-16 relative error = 6.041307555347071e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.677971810455715 y2[1] (numeric) = -0.6779718104557142 absolute error = 7.771561172376096e-16 relative error = 1.146295620632406e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7460000000000002 y1[1] (analytic) = -0.7344095631399601 y1[1] (numeric) = -0.7344095631399606 absolute error = 5.551115123125783e-16 relative error = 7.558609530344418e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6787065592497047 y2[1] (numeric) = -0.6787065592497039 absolute error = 7.771561172376096e-16 relative error = 1.145054672960195e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7470000000000002 y1[1] (analytic) = -0.7337304894890773 y1[1] (numeric) = -0.7337304894890777 absolute error = 4.440892098500626e-16 relative error = 6.052484068902435e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6794406293371917 y2[1] (numeric) = -0.679440629337191 absolute error = 7.771561172376096e-16 relative error = 1.143817551793659e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7480000000000002 y1[1] (analytic) = -0.7330506821077659 y1[1] (numeric) = -0.7330506821077665 absolute error = 5.551115123125783e-16 relative error = 7.572621182432393e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.680174019984106 y2[1] (numeric) = -0.6801740199841053 absolute error = 6.661338147750939e-16 relative error = 9.793579219486505e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7490000000000002 y1[1] (analytic) = -0.7323701416758337 y1[1] (numeric) = -0.7323701416758341 absolute error = 4.440892098500626e-16 relative error = 6.063726312406496e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6809067304570571 y2[1] (numeric) = -0.6809067304570563 absolute error = 7.771561172376096e-16 relative error = 1.141354729620524e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7500000000000002 y1[1] (analytic) = -0.7316888688738208 y1[1] (numeric) = -0.7316888688738212 absolute error = 4.440892098500626e-16 relative error = 6.069372225568809e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6816387600233343 y2[1] (numeric) = -0.6816387600233336 absolute error = 7.771561172376096e-16 relative error = 1.140128999135855e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7510000000000002 y1[1] (analytic) = -0.7310068643829999 y1[1] (numeric) = -0.7310068643830004 absolute error = 5.551115123125783e-16 relative error = 7.593793428754126e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6823701079509084 y2[1] (numeric) = -0.6823701079509077 absolute error = 6.661338147750939e-16 relative error = 9.762060310282781e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7520000000000002 y1[1] (analytic) = -0.7303241288853756 y1[1] (numeric) = -0.7303241288853761 absolute error = 5.551115123125783e-16 relative error = 7.60089240320996e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6831007735084313 y2[1] (numeric) = -0.6831007735084307 absolute error = 6.661338147750939e-16 relative error = 9.751618510894161e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7530000000000002 y1[1] (analytic) = -0.7296406630636832 y1[1] (numeric) = -0.7296406630636838 absolute error = 5.551115123125783e-16 relative error = 7.608012278012635e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6838307559652378 y2[1] (numeric) = -0.6838307559652371 absolute error = 6.661338147750939e-16 relative error = 9.74120875617587e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7540000000000002 y1[1] (analytic) = -0.7289564676013887 y1[1] (numeric) = -0.7289564676013892 absolute error = 5.551115123125783e-16 relative error = 7.615153126210095e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6845600545913452 y2[1] (numeric) = -0.6845600545913445 absolute error = 6.661338147750939e-16 relative error = 9.730830922828955e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7550000000000002 y1[1] (analytic) = -0.7282715431826873 y1[1] (numeric) = -0.7282715431826878 absolute error = 5.551115123125783e-16 relative error = 7.622315021216313e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6852886686574551 y2[1] (numeric) = -0.6852886686574544 absolute error = 6.661338147750939e-16 relative error = 9.720484888216709e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7560000000000002 y1[1] (analytic) = -0.7275858904925033 y1[1] (numeric) = -0.7275858904925039 absolute error = 5.551115123125783e-16 relative error = 7.629498036813537e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6860165974349535 y2[1] (numeric) = -0.6860165974349527 absolute error = 7.771561172376096e-16 relative error = 1.132853228542037e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7570000000000002 y1[1] (analytic) = -0.7268995102164896 y1[1] (numeric) = -0.7268995102164901 absolute error = 5.551115123125783e-16 relative error = 7.636702247154515e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6867438401959115 y2[1] (numeric) = -0.6867438401959107 absolute error = 7.771561172376096e-16 relative error = 1.131653568259026e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7580000000000002 y1[1] (analytic) = -0.7262124030410261 y1[1] (numeric) = -0.7262124030410267 absolute error = 6.661338147750939e-16 relative error = 9.172713272117742e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6874703962130866 y2[1] (numeric) = -0.6874703962130858 absolute error = 7.771561172376096e-16 relative error = 1.130457575364051e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7590000000000002 y1[1] (analytic) = -0.7255245696532202 y1[1] (numeric) = -0.7255245696532208 absolute error = 5.551115123125783e-16 relative error = 7.651174550544932e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6881962647599228 y2[1] (numeric) = -0.688196264759922 absolute error = 7.771561172376096e-16 relative error = 1.129265235853497e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7600000000000002 y1[1] (analytic) = -0.724836010740905 y1[1] (numeric) = -0.7248360107409056 absolute error = 6.661338147750939e-16 relative error = 9.190131352527485e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6889214451105515 y2[1] (numeric) = -0.6889214451105508 absolute error = 7.771561172376096e-16 relative error = 1.128076535798503e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7610000000000002 y1[1] (analytic) = -0.7241467269926395 y1[1] (numeric) = -0.7241467269926402 absolute error = 6.661338147750939e-16 relative error = 9.198879038527571e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6896459365397926 y2[1] (numeric) = -0.6896459365397918 absolute error = 7.771561172376096e-16 relative error = 1.12689146134448e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7620000000000002 y1[1] (analytic) = -0.7234567190977074 y1[1] (numeric) = -0.723456719097708 absolute error = 6.661338147750939e-16 relative error = 9.207652609901718e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6903697383231545 y2[1] (numeric) = -0.6903697383231537 absolute error = 7.771561172376096e-16 relative error = 1.12570999871062e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7630000000000002 y1[1] (analytic) = -0.7227659877461164 y1[1] (numeric) = -0.7227659877461171 absolute error = 6.661338147750939e-16 relative error = 9.216452158358681e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6910928497368357 y2[1] (numeric) = -0.6910928497368349 absolute error = 7.771561172376096e-16 relative error = 1.124532134189416e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7640000000000002 y1[1] (analytic) = -0.722074533628598 y1[1] (numeric) = -0.7220745336285986 absolute error = 6.661338147750939e-16 relative error = 9.225277776071281e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6918152700577248 y2[1] (numeric) = -0.691815270057724 absolute error = 7.771561172376096e-16 relative error = 1.123357854146186e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7650000000000002 y1[1] (analytic) = -0.7213823574366061 y1[1] (numeric) = -0.7213823574366067 absolute error = 6.661338147750939e-16 relative error = 9.234129555679253e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6925369985634015 y2[1] (numeric) = -0.6925369985634007 absolute error = 7.771561172376096e-16 relative error = 1.122187145018594e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7660000000000002 y1[1] (analytic) = -0.7206894598623168 y1[1] (numeric) = -0.7206894598623175 absolute error = 6.661338147750939e-16 relative error = 9.243007590292143e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6932580345321373 y2[1] (numeric) = -0.6932580345321364 absolute error = 8.881784197001252e-16 relative error = 1.281165706647071e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7670000000000002 y1[1] (analytic) = -0.7199958415986278 y1[1] (numeric) = -0.7199958415986284 absolute error = 5.551115123125783e-16 relative error = 7.709926644576835e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6939783772428962 y2[1] (numeric) = -0.6939783772428955 absolute error = 7.771561172376096e-16 relative error = 1.119856385619923e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7680000000000002 y1[1] (analytic) = -0.7193015033391572 y1[1] (numeric) = -0.7193015033391578 absolute error = 5.551115123125783e-16 relative error = 7.717368999447763e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6946980259753359 y2[1] (numeric) = -0.694698025975335 absolute error = 8.881784197001252e-16 relative error = 1.278510066950526e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7690000000000002 y1[1] (analytic) = -0.7186064457782432 y1[1] (numeric) = -0.7186064457782437 absolute error = 5.551115123125783e-16 relative error = 7.724833468636625e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6954169800098075 y2[1] (numeric) = -0.6954169800098066 absolute error = 8.881784197001252e-16 relative error = 1.277188284484511e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7700000000000002 y1[1] (analytic) = -0.7179106696109432 y1[1] (numeric) = -0.7179106696109439 absolute error = 6.661338147750939e-16 relative error = 9.278784157590127e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6961352386273569 y2[1] (numeric) = -0.696135238627356 absolute error = 8.881784197001252e-16 relative error = 1.275870506787503e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7710000000000002 y1[1] (analytic) = -0.7172141755330335 y1[1] (numeric) = -0.7172141755330341 absolute error = 6.661338147750939e-16 relative error = 9.287794880518409e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6968528011097258 y2[1] (numeric) = -0.6968528011097249 absolute error = 8.881784197001252e-16 relative error = 1.274556718844664e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7720000000000002 y1[1] (analytic) = -0.716516964241008 y1[1] (numeric) = -0.7165169642410086 absolute error = 6.661338147750939e-16 relative error = 9.296832427138917e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6975696667393516 y2[1] (numeric) = -0.6975696667393507 absolute error = 8.881784197001252e-16 relative error = 1.273246905720164e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7730000000000002 y1[1] (analytic) = -0.715819036432078 y1[1] (numeric) = -0.7158190364320787 absolute error = 6.661338147750939e-16 relative error = 9.305896893932373e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6982858347993688 y2[1] (numeric) = -0.6982858347993679 absolute error = 8.881784197001252e-16 relative error = 1.271941052556674e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7740000000000002 y1[1] (analytic) = -0.7151203928041712 y1[1] (numeric) = -0.7151203928041718 absolute error = 6.661338147750939e-16 relative error = 9.314988377873154e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6990013045736094 y2[1] (numeric) = -0.6990013045736085 absolute error = 8.881784197001252e-16 relative error = 1.270639144574864e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7750000000000002 y1[1] (analytic) = -0.7144210340559312 y1[1] (numeric) = -0.7144210340559318 absolute error = 6.661338147750939e-16 relative error = 9.324106976432375e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.6997160753466037 y2[1] (numeric) = -0.6997160753466029 absolute error = 8.881784197001252e-16 relative error = 1.269341167072897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7760000000000002 y1[1] (analytic) = -0.7137209608867167 y1[1] (numeric) = -0.7137209608867173 absolute error = 6.661338147750939e-16 relative error = 9.333252787581001e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7004301464035809 y2[1] (numeric) = -0.7004301464035801 absolute error = 7.771561172376096e-16 relative error = 1.109541217247694e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7770000000000002 y1[1] (analytic) = -0.7130201739966008 y1[1] (numeric) = -0.7130201739966014 absolute error = 6.661338147750939e-16 relative error = 9.342425909792976e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7011435170304702 y2[1] (numeric) = -0.7011435170304694 absolute error = 7.771561172376096e-16 relative error = 1.108412326949942e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7780000000000002 y1[1] (analytic) = -0.7123186740863702 y1[1] (numeric) = -0.712318674086371 absolute error = 7.771561172376096e-16 relative error = 1.091023084905644e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7018561865139008 y2[1] (numeric) = -0.7018561865139 absolute error = 7.771561172376096e-16 relative error = 1.107286837632253e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7790000000000002 y1[1] (analytic) = -0.711616461857525 y1[1] (numeric) = -0.7116164618575257 absolute error = 6.661338147750939e-16 relative error = 9.360854483836585e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7025681541412033 y2[1] (numeric) = -0.7025681541412027 absolute error = 6.661338147750939e-16 relative error = 9.481412028835188e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7800000000000002 y1[1] (analytic) = -0.7109135380122772 y1[1] (numeric) = -0.7109135380122779 absolute error = 6.661338147750939e-16 relative error = 9.370110135159503e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7032794192004104 y2[1] (numeric) = -0.7032794192004097 absolute error = 6.661338147750939e-16 relative error = 9.471822956691255e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7810000000000002 y1[1] (analytic) = -0.7102099032535506 y1[1] (numeric) = -0.7102099032535513 absolute error = 6.661338147750939e-16 relative error = 9.379393496534768e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7039899809802568 y2[1] (numeric) = -0.7039899809802561 absolute error = 6.661338147750939e-16 relative error = 9.462262713562332e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7820000000000003 y1[1] (analytic) = -0.70950555828498 y1[1] (numeric) = -0.7095055582849806 absolute error = 6.661338147750939e-16 relative error = 9.388704668999008e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7046998387701808 y2[1] (numeric) = -0.7046998387701802 absolute error = 6.661338147750939e-16 relative error = 9.452731193150391e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7830000000000003 y1[1] (analytic) = -0.7088005038109102 y1[1] (numeric) = -0.7088005038109109 absolute error = 6.661338147750939e-16 relative error = 9.39804375411112e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7054089918603249 y2[1] (numeric) = -0.7054089918603242 absolute error = 6.661338147750939e-16 relative error = 9.443228289709587e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7840000000000003 y1[1] (analytic) = -0.7080947405363957 y1[1] (numeric) = -0.7080947405363963 absolute error = 6.661338147750939e-16 relative error = 9.407410853955567e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7061174395415358 y2[1] (numeric) = -0.7061174395415352 absolute error = 6.661338147750939e-16 relative error = 9.433753898042764e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7850000000000003 y1[1] (analytic) = -0.7073882691671995 y1[1] (numeric) = -0.7073882691672002 absolute error = 6.661338147750939e-16 relative error = 9.416806071145709e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7068251811053661 y2[1] (numeric) = -0.7068251811053654 absolute error = 6.661338147750939e-16 relative error = 9.424307913497972e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7860000000000003 y1[1] (analytic) = -0.7066810904097933 y1[1] (numeric) = -0.7066810904097939 absolute error = 5.551115123125783e-16 relative error = 7.855191257355956e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7075322158440741 y2[1] (numeric) = -0.7075322158440734 absolute error = 6.661338147750939e-16 relative error = 9.414890231965019e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7870000000000003 y1[1] (analytic) = -0.7059732049713555 y1[1] (numeric) = -0.7059732049713561 absolute error = 5.551115123125783e-16 relative error = 7.863067725567597e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7082385430506254 y2[1] (numeric) = -0.7082385430506246 absolute error = 7.771561172376096e-16 relative error = 1.097308420818405e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7880000000000003 y1[1] (analytic) = -0.7052646135597715 y1[1] (numeric) = -0.7052646135597721 absolute error = 5.551115123125783e-16 relative error = 7.870967884106556e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7089441620186925 y2[1] (numeric) = -0.7089441620186918 absolute error = 6.661338147750939e-16 relative error = 9.396139364182115e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7890000000000003 y1[1] (analytic) = -0.7045553168836328 y1[1] (numeric) = -0.7045553168836334 absolute error = 5.551115123125783e-16 relative error = 7.878891820275096e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7096490720426567 y2[1] (numeric) = -0.709649072042656 absolute error = 6.661338147750939e-16 relative error = 9.38680597238987e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7900000000000003 y1[1] (analytic) = -0.703845315652236 y1[1] (numeric) = -0.7038453156522365 absolute error = 5.551115123125783e-16 relative error = 7.886839621830405e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.710353272417608 y2[1] (numeric) = -0.7103532724176074 absolute error = 6.661338147750939e-16 relative error = 9.377500472518158e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7910000000000003 y1[1] (analytic) = -0.703134610575582 y1[1] (numeric) = -0.7031346105755826 absolute error = 5.551115123125783e-16 relative error = 7.894811376987503e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7110567624393461 y2[1] (numeric) = -0.7110567624393455 absolute error = 6.661338147750939e-16 relative error = 9.368222763114722e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7920000000000003 y1[1] (analytic) = -0.7024232023643762 y1[1] (numeric) = -0.7024232023643767 absolute error = 5.551115123125783e-16 relative error = 7.902807174422163e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7117595414043809 y2[1] (numeric) = -0.7117595414043804 absolute error = 5.551115123125783e-16 relative error = 7.799143952707419e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7930000000000003 y1[1] (analytic) = -0.7017110917300264 y1[1] (numeric) = -0.701711091730027 absolute error = 5.551115123125783e-16 relative error = 7.910827103273859e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7124616086099338 y2[1] (numeric) = -0.7124616086099331 absolute error = 6.661338147750939e-16 relative error = 9.349750312508362e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7940000000000003 y1[1] (analytic) = -0.7009982793846434 y1[1] (numeric) = -0.700998279384644 absolute error = 5.551115123125783e-16 relative error = 7.918871253148742e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7131629633539374 y2[1] (numeric) = -0.7131629633539367 absolute error = 6.661338147750939e-16 relative error = 9.340555370995855e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7950000000000003 y1[1] (analytic) = -0.7002847660410395 y1[1] (numeric) = -0.7002847660410401 absolute error = 5.551115123125783e-16 relative error = 7.926939714122618e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.713863604935037 y2[1] (numeric) = -0.7138636049350363 absolute error = 6.661338147750939e-16 relative error = 9.331387819325982e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7960000000000003 y1[1] (analytic) = -0.6995705524127279 y1[1] (numeric) = -0.6995705524127285 absolute error = 5.551115123125783e-16 relative error = 7.935032576743987e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7145635326525912 y2[1] (numeric) = -0.7145635326525905 absolute error = 6.661338147750939e-16 relative error = 9.322247558622013e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7970000000000003 y1[1] (analytic) = -0.6988556392139221 y1[1] (numeric) = -0.6988556392139228 absolute error = 6.661338147750939e-16 relative error = 9.531779918444473e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7152627458066723 y2[1] (numeric) = -0.7152627458066716 absolute error = 6.661338147750939e-16 relative error = 9.313134490512703e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7980000000000003 y1[1] (analytic) = -0.6981400271595355 y1[1] (numeric) = -0.698140027159536 absolute error = 5.551115123125783e-16 relative error = 7.95129187150484e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7159612436980671 y2[1] (numeric) = -0.7159612436980665 absolute error = 6.661338147750939e-16 relative error = 9.304048517129145e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.7990000000000003 y1[1] (analytic) = -0.6974237169651798 y1[1] (numeric) = -0.6974237169651804 absolute error = 5.551115123125783e-16 relative error = 7.959458487132196e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.716659025628278 y2[1] (numeric) = -0.7166590256282773 absolute error = 6.661338147750939e-16 relative error = 9.294989541101645e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8000000000000003 y1[1] (analytic) = -0.6967067093471653 y1[1] (numeric) = -0.6967067093471658 absolute error = 5.551115123125783e-16 relative error = 7.967649871388983e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7173560908995229 y2[1] (numeric) = -0.7173560908995222 absolute error = 6.661338147750939e-16 relative error = 9.285957465556622e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8010000000000003 y1[1] (analytic) = -0.6959890050224994 y1[1] (numeric) = -0.6959890050225001 absolute error = 6.661338147750939e-16 relative error = 9.57103934067981e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7180524388147368 y2[1] (numeric) = -0.718052438814736 absolute error = 7.771561172376096e-16 relative error = 1.082311089313244e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8020000000000003 y1[1] (analytic) = -0.6952706047088866 y1[1] (numeric) = -0.6952706047088872 absolute error = 6.661338147750939e-16 relative error = 9.580928781736826e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7187480686775716 y2[1] (numeric) = -0.7187480686775709 absolute error = 6.661338147750939e-16 relative error = 9.267973630881779e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8030000000000003 y1[1] (analytic) = -0.694551509124727 y1[1] (numeric) = -0.6945515091247276 absolute error = 6.661338147750939e-16 relative error = 9.59084828157029e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7194429797923977 y2[1] (numeric) = -0.719442979792397 absolute error = 6.661338147750939e-16 relative error = 9.259021680457752e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8040000000000003 y1[1] (analytic) = -0.6938317189891161 y1[1] (numeric) = -0.6938317189891168 absolute error = 6.661338147750939e-16 relative error = 9.600797953509867e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7201371714643039 y2[1] (numeric) = -0.7201371714643032 absolute error = 6.661338147750939e-16 relative error = 9.25009624792175e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8050000000000003 y1[1] (analytic) = -0.693111235021844 y1[1] (numeric) = -0.6931112350218448 absolute error = 7.771561172376096e-16 relative error = 1.121257423006737e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7208306429990987 y2[1] (numeric) = -0.720830642999098 absolute error = 6.661338147750939e-16 relative error = 9.241197238835015e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8060000000000003 y1[1] (analytic) = -0.6923900579433947 y1[1] (numeric) = -0.6923900579433955 absolute error = 7.771561172376096e-16 relative error = 1.122425298170796e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7215233937033105 y2[1] (numeric) = -0.7215233937033099 absolute error = 6.661338147750939e-16 relative error = 9.232324559236777e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8070000000000003 y1[1] (analytic) = -0.6916681884749452 y1[1] (numeric) = -0.6916681884749459 absolute error = 7.771561172376096e-16 relative error = 1.123596733501878e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7222154228841888 y2[1] (numeric) = -0.7222154228841882 absolute error = 6.661338147750939e-16 relative error = 9.223478115641295e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8080000000000003 y1[1] (analytic) = -0.6909456273383648 y1[1] (numeric) = -0.6909456273383655 absolute error = 6.661338147750939e-16 relative error = 9.640900650043187e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7229067298497044 y2[1] (numeric) = -0.7229067298497037 absolute error = 6.661338147750939e-16 relative error = 9.214657815034952e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8090000000000003 y1[1] (analytic) = -0.6902223752562147 y1[1] (numeric) = -0.6902223752562153 absolute error = 6.661338147750939e-16 relative error = 9.65100290363408e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7235973139085503 y2[1] (numeric) = -0.7235973139085496 absolute error = 6.661338147750939e-16 relative error = 9.205863564873338e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8100000000000003 y1[1] (analytic) = -0.6894984329517468 y1[1] (numeric) = -0.6894984329517475 absolute error = 6.661338147750939e-16 relative error = 9.661136022070002e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7242871743701427 y2[1] (numeric) = -0.724287174370142 absolute error = 6.661338147750939e-16 relative error = 9.197095273078385e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8110000000000003 y1[1] (analytic) = -0.6887738011489034 y1[1] (numeric) = -0.6887738011489042 absolute error = 7.771561172376096e-16 relative error = 1.128318347680009e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7249763105446211 y2[1] (numeric) = -0.7249763105446203 absolute error = 7.771561172376096e-16 relative error = 1.071974498937475e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8120000000000003 y1[1] (analytic) = -0.6880484805723164 y1[1] (numeric) = -0.688048480572317 absolute error = 6.661338147750939e-16 relative error = 9.681495324588263e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7256647217428492 y2[1] (numeric) = -0.7256647217428485 absolute error = 7.771561172376096e-16 relative error = 1.070957556502254e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8130000000000003 y1[1] (analytic) = -0.687322471947306 y1[1] (numeric) = -0.6873224719473067 absolute error = 6.661338147750939e-16 relative error = 9.691721745803235e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7263524072764161 y2[1] (numeric) = -0.7263524072764154 absolute error = 7.771561172376096e-16 relative error = 1.069943610638933e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8140000000000003 y1[1] (analytic) = -0.686595775999881 y1[1] (numeric) = -0.6865957759998816 absolute error = 6.661338147750939e-16 relative error = 9.701979506136802e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7270393664576363 y2[1] (numeric) = -0.7270393664576356 absolute error = 7.771561172376096e-16 relative error = 1.068932650819388e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8150000000000003 y1[1] (analytic) = -0.6858683934567371 y1[1] (numeric) = -0.6858683934567379 absolute error = 7.771561172376096e-16 relative error = 1.133098018004282e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7277255985995507 y2[1] (numeric) = -0.7277255985995499 absolute error = 7.771561172376096e-16 relative error = 1.067924666568256e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8160000000000003 y1[1] (analytic) = -0.685140325045257 y1[1] (numeric) = -0.6851403250452578 absolute error = 7.771561172376096e-16 relative error = 1.134302111302928e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.728411103015927 y2[1] (numeric) = -0.7284111030159263 absolute error = 7.771561172376096e-16 relative error = 1.066919647462618e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8170000000000003 y1[1] (analytic) = -0.684411571493509 y1[1] (numeric) = -0.6844115714935097 absolute error = 7.771561172376096e-16 relative error = 1.135509903115337e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7290958790212612 y2[1] (numeric) = -0.7290958790212603 absolute error = 8.881784197001252e-16 relative error = 1.218191523579061e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8180000000000003 y1[1] (analytic) = -0.6836821335302464 y1[1] (numeric) = -0.6836821335302472 absolute error = 7.771561172376096e-16 relative error = 1.13672140768796e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7297799259307769 y2[1] (numeric) = -0.729779925930776 absolute error = 8.881784197001252e-16 relative error = 1.217049672293087e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8190000000000003 y1[1] (analytic) = -0.6829520118849074 y1[1] (numeric) = -0.6829520118849082 absolute error = 7.771561172376096e-16 relative error = 1.137936639344109e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7304632430604275 y2[1] (numeric) = -0.7304632430604266 absolute error = 8.881784197001252e-16 relative error = 1.215911174365074e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8200000000000003 y1[1] (analytic) = -0.6822212072876134 y1[1] (numeric) = -0.6822212072876142 absolute error = 7.771561172376096e-16 relative error = 1.139155612484461e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7311458297268961 y2[1] (numeric) = -0.7311458297268951 absolute error = 9.992007221626409e-16 relative error = 1.366623020384143e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8210000000000003 y1[1] (analytic) = -0.6814897204691689 y1[1] (numeric) = -0.6814897204691697 absolute error = 7.771561172376096e-16 relative error = 1.140378341587573e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7318276852475958 y2[1] (numeric) = -0.7318276852475948 absolute error = 9.992007221626409e-16 relative error = 1.365349715930173e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8220000000000003 y1[1] (analytic) = -0.6807575521610607 y1[1] (numeric) = -0.6807575521610615 absolute error = 7.771561172376096e-16 relative error = 1.141604841210402e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7325088089406712 y2[1] (numeric) = -0.7325088089406702 absolute error = 9.992007221626409e-16 relative error = 1.364080144793959e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8230000000000003 y1[1] (analytic) = -0.6800247030954572 y1[1] (numeric) = -0.6800247030954579 absolute error = 7.771561172376096e-16 relative error = 1.142835125988824e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7331892001249987 y2[1] (numeric) = -0.7331892001249977 absolute error = 9.992007221626409e-16 relative error = 1.362814294035279e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8240000000000003 y1[1] (analytic) = -0.6792911740052071 y1[1] (numeric) = -0.6792911740052079 absolute error = 7.771561172376096e-16 relative error = 1.144069210638165e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7338688581201872 y2[1] (numeric) = -0.7338688581201862 absolute error = 9.992007221626409e-16 relative error = 1.361552150778143e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8250000000000003 y1[1] (analytic) = -0.6785569656238397 y1[1] (numeric) = -0.6785569656238405 absolute error = 7.771561172376096e-16 relative error = 1.145307109953726e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7345477822465788 y2[1] (numeric) = -0.7345477822465778 absolute error = 9.992007221626409e-16 relative error = 1.360293702210405e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8260000000000003 y1[1] (analytic) = -0.6778220786855632 y1[1] (numeric) = -0.677822078685564 absolute error = 7.771561172376096e-16 relative error = 1.146548838811323e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7352259718252493 y2[1] (numeric) = -0.7352259718252483 absolute error = 9.992007221626409e-16 relative error = 1.359038935583377e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8270000000000003 y1[1] (analytic) = -0.6770865139252645 y1[1] (numeric) = -0.6770865139252653 absolute error = 7.771561172376096e-16 relative error = 1.147794412167823e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7359034261780092 y2[1] (numeric) = -0.7359034261780082 absolute error = 9.992007221626409e-16 relative error = 1.357787838211453e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8280000000000003 y1[1] (analytic) = -0.6763502720785083 y1[1] (numeric) = -0.6763502720785091 absolute error = 7.771561172376096e-16 relative error = 1.14904384506169e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7365801446274043 y2[1] (numeric) = -0.7365801446274033 absolute error = 9.992007221626409e-16 relative error = 1.356540397471727e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8290000000000003 y1[1] (analytic) = -0.6756133538815364 y1[1] (numeric) = -0.6756133538815372 absolute error = 7.771561172376096e-16 relative error = 1.150297152613531e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7372561264967161 y2[1] (numeric) = -0.7372561264967151 absolute error = 9.992007221626409e-16 relative error = 1.355296600803617e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8300000000000003 y1[1] (analytic) = -0.6748757600712669 y1[1] (numeric) = -0.6748757600712677 absolute error = 7.771561172376096e-16 relative error = 1.151554350026651e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7379313711099629 y2[1] (numeric) = -0.7379313711099619 absolute error = 9.992007221626409e-16 relative error = 1.354056435708497e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8310000000000003 y1[1] (analytic) = -0.6741374913852936 y1[1] (numeric) = -0.6741374913852943 absolute error = 7.771561172376096e-16 relative error = 1.152815452587605e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7386058777919001 y2[1] (numeric) = -0.738605877791899 absolute error = 1.110223024625157e-15 relative error = 1.503133210832582e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8320000000000003 y1[1] (analytic) = -0.6733985485618851 y1[1] (numeric) = -0.6733985485618857 absolute error = 6.661338147750939e-16 relative error = 9.892118362857987e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.739279645868021 y2[1] (numeric) = -0.73927964586802 absolute error = 9.992007221626409e-16 relative error = 1.351586950550269e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8330000000000003 y1[1] (analytic) = -0.6726589323399841 y1[1] (numeric) = -0.6726589323399847 absolute error = 6.661338147750939e-16 relative error = 9.902995154733304e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7399526746645577 y2[1] (numeric) = -0.7399526746645566 absolute error = 1.110223024625157e-15 relative error = 1.500397339773727e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8340000000000003 y1[1] (analytic) = -0.6719186434592068 y1[1] (numeric) = -0.6719186434592075 absolute error = 6.661338147750939e-16 relative error = 9.913905816717168e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7406249635084814 y2[1] (numeric) = -0.7406249635084803 absolute error = 1.110223024625157e-15 relative error = 1.499035381370105e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8350000000000003 y1[1] (analytic) = -0.671177682659842 y1[1] (numeric) = -0.6711776826598428 absolute error = 7.771561172376096e-16 relative error = 1.157899222986349e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7412965117275032 y2[1] (numeric) = -0.7412965117275021 absolute error = 1.110223024625157e-15 relative error = 1.497677389629035e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8360000000000003 y1[1] (analytic) = -0.6704360506828506 y1[1] (numeric) = -0.6704360506828513 absolute error = 6.661338147750939e-16 relative error = 9.935829287470822e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7419673186500751 y2[1] (numeric) = -0.741967318650074 absolute error = 1.110223024625157e-15 relative error = 1.496323351067646e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8370000000000003 y1[1] (analytic) = -0.6696937482698644 y1[1] (numeric) = -0.6696937482698651 absolute error = 6.661338147750939e-16 relative error = 9.946842366320912e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7426373836053902 y2[1] (numeric) = -0.7426373836053891 absolute error = 1.110223024625157e-15 relative error = 1.494973252269088e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8380000000000003 y1[1] (analytic) = -0.6689507761631857 y1[1] (numeric) = -0.6689507761631863 absolute error = 6.661338147750939e-16 relative error = 9.957889855450223e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7433067059233837 y2[1] (numeric) = -0.7433067059233825 absolute error = 1.110223024625157e-15 relative error = 1.493627079882141e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8390000000000003 y1[1] (analytic) = -0.6682071351057864 y1[1] (numeric) = -0.6682071351057872 absolute error = 7.771561172376096e-16 relative error = 1.163046720706709e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7439752849347331 y2[1] (numeric) = -0.743975284934732 absolute error = 1.110223024625157e-15 relative error = 1.492284820620827e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8400000000000003 y1[1] (analytic) = -0.6674628258413079 y1[1] (numeric) = -0.6674628258413087 absolute error = 7.771561172376096e-16 relative error = 1.16434367151165e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7446431199708595 y2[1] (numeric) = -0.7446431199708584 absolute error = 1.110223024625157e-15 relative error = 1.490946461264026e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8410000000000003 y1[1] (analytic) = -0.6667178491140591 y1[1] (numeric) = -0.6667178491140598 absolute error = 7.771561172376096e-16 relative error = 1.165644685034759e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7453102103639281 y2[1] (numeric) = -0.745310210363927 absolute error = 1.110223024625157e-15 relative error = 1.489611988655093e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8420000000000003 y1[1] (analytic) = -0.6659722056690167 y1[1] (numeric) = -0.6659722056690175 absolute error = 7.771561172376096e-16 relative error = 1.166949777516467e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7459765554468484 y2[1] (numeric) = -0.7459765554468473 absolute error = 1.110223024625157e-15 relative error = 1.488281389701477e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8430000000000003 y1[1] (analytic) = -0.6652258962518243 y1[1] (numeric) = -0.6652258962518249 absolute error = 6.661338147750939e-16 relative error = 1.00136482738929e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7466421545532754 y2[1] (numeric) = -0.7466421545532743 absolute error = 1.110223024625157e-15 relative error = 1.486954651374346e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8440000000000003 y1[1] (analytic) = -0.664478921608791 y1[1] (numeric) = -0.6644789216087916 absolute error = 6.661338147750939e-16 relative error = 1.002490512659598e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7473070070176101 y2[1] (numeric) = -0.747307007017609 absolute error = 1.110223024625157e-15 relative error = 1.485631760708212e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8450000000000003 y1[1] (analytic) = -0.6637312824868914 y1[1] (numeric) = -0.6637312824868921 absolute error = 6.661338147750939e-16 relative error = 1.003619736407783e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.747971112175 y2[1] (numeric) = -0.7479711121749989 absolute error = 1.110223024625157e-15 relative error = 1.484312704800559e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8460000000000003 y1[1] (analytic) = -0.6629829796337646 y1[1] (numeric) = -0.6629829796337653 absolute error = 6.661338147750939e-16 relative error = 1.004752512867027e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7486344693613401 y2[1] (numeric) = -0.748634469361339 absolute error = 1.110223024625157e-15 relative error = 1.482997470811473e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8470000000000003 y1[1] (analytic) = -0.6622340137977135 y1[1] (numeric) = -0.6622340137977142 absolute error = 6.661338147750939e-16 relative error = 1.005888856350063e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7492970779132733 y2[1] (numeric) = -0.7492970779132722 absolute error = 1.110223024625157e-15 relative error = 1.481686045963279e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8480000000000003 y1[1] (analytic) = -0.6614843857277037 y1[1] (numeric) = -0.6614843857277044 absolute error = 6.661338147750939e-16 relative error = 1.007028781249727e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7499589371681908 y2[1] (numeric) = -0.7499589371681898 absolute error = 9.992007221626409e-16 relative error = 1.332340575786156e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8490000000000003 y1[1] (analytic) = -0.6607340961733634 y1[1] (numeric) = -0.6607340961733641 absolute error = 6.661338147750939e-16 relative error = 1.008172302039509e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7506200464642339 y2[1] (numeric) = -0.7506200464642329 absolute error = 9.992007221626409e-16 relative error = 1.331167115599079e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8500000000000003 y1[1] (analytic) = -0.659983145884982 y1[1] (numeric) = -0.6599831458849826 absolute error = 6.661338147750939e-16 relative error = 1.00931943327411e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7512804051402929 y2[1] (numeric) = -0.7512804051402919 absolute error = 9.992007221626409e-16 relative error = 1.329997049471897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8510000000000003 y1[1] (analytic) = -0.6592315356135096 y1[1] (numeric) = -0.6592315356135103 absolute error = 7.771561172376096e-16 relative error = 1.178881887855007e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7519400125360094 y2[1] (numeric) = -0.7519400125360085 absolute error = 8.881784197001252e-16 relative error = 1.181182547667114e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8520000000000003 y1[1] (analytic) = -0.6584792661105566 y1[1] (numeric) = -0.6584792661105573 absolute error = 6.661338147750939e-16 relative error = 1.011624585706017e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7525988679917761 y2[1] (numeric) = -0.7525988679917751 absolute error = 9.992007221626409e-16 relative error = 1.327667054335191e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8530000000000003 y1[1] (analytic) = -0.6577263381283923 y1[1] (numeric) = -0.657726338128393 absolute error = 6.661338147750939e-16 relative error = 1.012782636423874e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7532569708487374 y2[1] (numeric) = -0.7532569708487364 absolute error = 9.992007221626409e-16 relative error = 1.326507102930338e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8540000000000003 y1[1] (analytic) = -0.6569727524199448 y1[1] (numeric) = -0.6569727524199455 absolute error = 6.661338147750939e-16 relative error = 1.013944356628802e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7539143204487908 y2[1] (numeric) = -0.7539143204487897 absolute error = 1.110223024625157e-15 relative error = 1.472611667548989e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8550000000000003 y1[1] (analytic) = -0.6562185097387995 y1[1] (numeric) = -0.6562185097388002 absolute error = 7.771561172376096e-16 relative error = 1.18429472150511e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7545709161345865 y2[1] (numeric) = -0.7545709161345854 absolute error = 1.110223024625157e-15 relative error = 1.471330263181169e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8560000000000003 y1[1] (analytic) = -0.6554636108391992 y1[1] (numeric) = -0.6554636108391999 absolute error = 6.661338147750939e-16 relative error = 1.016278865461705e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7552267572495289 y2[1] (numeric) = -0.7552267572495278 absolute error = 1.110223024625157e-15 relative error = 1.470052555696641e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8570000000000003 y1[1] (analytic) = -0.6547080564760427 y1[1] (numeric) = -0.6547080564760434 absolute error = 6.661338147750939e-16 relative error = 1.017451684282839e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.755881843137777 y2[1] (numeric) = -0.755881843137776 absolute error = 9.992007221626409e-16 relative error = 1.321900679628461e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8580000000000003 y1[1] (analytic) = -0.6539518474048842 y1[1] (numeric) = -0.6539518474048849 absolute error = 6.661338147750939e-16 relative error = 1.018628232978548e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7565361731442449 y2[1] (numeric) = -0.7565361731442439 absolute error = 9.992007221626409e-16 relative error = 1.320757364462635e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8590000000000003 y1[1] (analytic) = -0.6531949843819329 y1[1] (numeric) = -0.6531949843819336 absolute error = 6.661338147750939e-16 relative error = 1.019808526860328e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7571897466146028 y2[1] (numeric) = -0.7571897466146018 absolute error = 9.992007221626409e-16 relative error = 1.319617343776867e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8600000000000003 y1[1] (analytic) = -0.6524374681640516 y1[1] (numeric) = -0.6524374681640522 absolute error = 6.661338147750939e-16 relative error = 1.020992581326734e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7578425628952772 y2[1] (numeric) = -0.7578425628952762 absolute error = 9.992007221626409e-16 relative error = 1.318480606770454e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8610000000000003 y1[1] (analytic) = -0.6516792995087565 y1[1] (numeric) = -0.6516792995087571 absolute error = 6.661338147750939e-16 relative error = 1.022180411863985e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7584946213334518 y2[1] (numeric) = -0.7584946213334508 absolute error = 9.992007221626409e-16 relative error = 1.31734714269433e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8620000000000003 y1[1] (analytic) = -0.6509204791742162 y1[1] (numeric) = -0.6509204791742168 absolute error = 5.551115123125783e-16 relative error = 8.528100283721523e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7591459212770683 y2[1] (numeric) = -0.7591459212770673 absolute error = 9.992007221626409e-16 relative error = 1.316216940850768e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8630000000000003 y1[1] (analytic) = -0.650161007919251 y1[1] (numeric) = -0.6501610079192516 absolute error = 5.551115123125783e-16 relative error = 8.538062196149454e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7597964620748268 y2[1] (numeric) = -0.7597964620748258 absolute error = 9.992007221626409e-16 relative error = 1.315089990593082e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8640000000000003 y1[1] (analytic) = -0.6494008865033321 y1[1] (numeric) = -0.6494008865033326 absolute error = 5.551115123125783e-16 relative error = 8.54805596742483e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7604462430761865 y2[1] (numeric) = -0.7604462430761855 absolute error = 9.992007221626409e-16 relative error = 1.313966281325338e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8650000000000003 y1[1] (analytic) = -0.6486401156865808 y1[1] (numeric) = -0.6486401156865813 absolute error = 5.551115123125783e-16 relative error = 8.558081729573523e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7610952636313665 y2[1] (numeric) = -0.7610952636313655 absolute error = 9.992007221626409e-16 relative error = 1.312845802502063e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8660000000000003 y1[1] (analytic) = -0.6478786962297677 y1[1] (numeric) = -0.6478786962297683 absolute error = 6.661338147750939e-16 relative error = 1.028176753845371e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7617435230913463 y2[1] (numeric) = -0.7617435230913453 absolute error = 9.992007221626409e-16 relative error = 1.311728543627957e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8670000000000003 y1[1] (analytic) = -0.6471166288943125 y1[1] (numeric) = -0.6471166288943131 absolute error = 5.551115123125783e-16 relative error = 8.578229758383159e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7623910208078665 y2[1] (numeric) = -0.7623910208078655 absolute error = 9.992007221626409e-16 relative error = 1.310614494257605e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8680000000000003 y1[1] (analytic) = -0.6463539144422823 y1[1] (numeric) = -0.646353914442283 absolute error = 6.661338147750939e-16 relative error = 1.030602275148096e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7630377561334294 y2[1] (numeric) = -0.7630377561334284 absolute error = 9.992007221626409e-16 relative error = 1.309503643995192e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8690000000000003 y1[1] (analytic) = -0.6455905536363915 y1[1] (numeric) = -0.6455905536363922 absolute error = 6.661338147750939e-16 relative error = 1.031820882481922e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7636837284212997 y2[1] (numeric) = -0.7636837284212987 absolute error = 9.992007221626409e-16 relative error = 1.308395982494227e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8700000000000003 y1[1] (analytic) = -0.644826547240001 y1[1] (numeric) = -0.6448265472400015 absolute error = 5.551115123125783e-16 relative error = 8.608695077592218e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7643289370255053 y2[1] (numeric) = -0.7643289370255043 absolute error = 9.992007221626409e-16 relative error = 1.307291499457253e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8710000000000003 y1[1] (analytic) = -0.6440618960171168 y1[1] (numeric) = -0.6440618960171174 absolute error = 5.551115123125783e-16 relative error = 8.6189156002768e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7649733813008376 y2[1] (numeric) = -0.7649733813008366 absolute error = 9.992007221626409e-16 relative error = 1.306190184635575e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8720000000000003 y1[1] (analytic) = -0.6432966007323904 y1[1] (numeric) = -0.6432966007323909 absolute error = 5.551115123125783e-16 relative error = 8.629169059506707e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7656170606028523 y2[1] (numeric) = -0.7656170606028513 absolute error = 9.992007221626409e-16 relative error = 1.305092027828982e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8730000000000003 y1[1] (analytic) = -0.6425306621511168 y1[1] (numeric) = -0.6425306621511173 absolute error = 5.551115123125783e-16 relative error = 8.639455593514098e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7662599742878702 y2[1] (numeric) = -0.7662599742878692 absolute error = 9.992007221626409e-16 relative error = 1.303997018885472e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8740000000000003 y1[1] (analytic) = -0.6417640810392347 y1[1] (numeric) = -0.6417640810392351 absolute error = 4.440892098500626e-16 relative error = 6.919820273065624e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7669021217129776 y2[1] (numeric) = -0.7669021217129767 absolute error = 8.881784197001252e-16 relative error = 1.158137909067537e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8750000000000003 y1[1] (analytic) = -0.6409968581633249 y1[1] (numeric) = -0.6409968581633254 absolute error = 5.551115123125783e-16 relative error = 8.660128442800211e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7675435022360273 y2[1] (numeric) = -0.7675435022360263 absolute error = 9.992007221626409e-16 relative error = 1.301816404219101e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8760000000000003 y1[1] (analytic) = -0.6402289942906104 y1[1] (numeric) = -0.640228994290611 absolute error = 5.551115123125783e-16 relative error = 8.670515038570779e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7681841152156387 y2[1] (numeric) = -0.7681841152156377 absolute error = 9.992007221626409e-16 relative error = 1.300730778430836e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8770000000000003 y1[1] (analytic) = -0.6394604901889549 y1[1] (numeric) = -0.6394604901889556 absolute error = 6.661338147750939e-16 relative error = 1.041712232413698e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7688239600111988 y2[1] (numeric) = -0.7688239600111979 absolute error = 8.881784197001252e-16 relative error = 1.155242898110496e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8780000000000003 y1[1] (analytic) = -0.6386913466268627 y1[1] (numeric) = -0.6386913466268632 absolute error = 5.551115123125783e-16 relative error = 8.691389279724913e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.769463035982863 y2[1] (numeric) = -0.7694630359828621 absolute error = 8.881784197001252e-16 relative error = 1.154283413452893e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8790000000000003 y1[1] (analytic) = -0.6379215643734769 y1[1] (numeric) = -0.6379215643734775 absolute error = 5.551115123125783e-16 relative error = 8.70187721052777e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7701013424915555 y2[1] (numeric) = -0.7701013424915545 absolute error = 9.992007221626409e-16 relative error = 1.297492507843015e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8800000000000003 y1[1] (analytic) = -0.63715114419858 y1[1] (numeric) = -0.6371511441985805 absolute error = 5.551115123125783e-16 relative error = 8.712399206483532e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7707388788989695 y2[1] (numeric) = -0.7707388788989685 absolute error = 9.992007221626409e-16 relative error = 1.296419253677767e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8810000000000003 y1[1] (analytic) = -0.636380086872592 y1[1] (numeric) = -0.6363800868725925 absolute error = 5.551115123125783e-16 relative error = 8.722955412395167e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7713756445675689 y2[1] (numeric) = -0.7713756445675679 absolute error = 9.992007221626409e-16 relative error = 1.295349067862766e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8820000000000003 y1[1] (analytic) = -0.63560839316657 y1[1] (numeric) = -0.6356083931665706 absolute error = 5.551115123125783e-16 relative error = 8.733545973913903e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.772011638860588 y2[1] (numeric) = -0.772011638860587 absolute error = 9.992007221626409e-16 relative error = 1.294281940667839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8830000000000003 y1[1] (analytic) = -0.6348360638522079 y1[1] (numeric) = -0.6348360638522085 absolute error = 5.551115123125783e-16 relative error = 8.744171037545375e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7726468611420326 y2[1] (numeric) = -0.7726468611420315 absolute error = 1.110223024625157e-15 relative error = 1.436908736009307e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8840000000000003 y1[1] (analytic) = -0.6340630997018348 y1[1] (numeric) = -0.6340630997018354 absolute error = 5.551115123125783e-16 relative error = 8.75483075065584e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7732813107766804 y2[1] (numeric) = -0.7732813107766794 absolute error = 9.992007221626409e-16 relative error = 1.292156823445077e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8850000000000003 y1[1] (analytic) = -0.633289501488415 y1[1] (numeric) = -0.6332895014884155 absolute error = 4.440892098500626e-16 relative error = 7.012420209182743e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7739149871300819 y2[1] (numeric) = -0.7739149871300809 absolute error = 9.992007221626409e-16 relative error = 1.291098814183698e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8860000000000003 y1[1] (analytic) = -0.6325152699855464 y1[1] (numeric) = -0.6325152699855469 absolute error = 4.440892098500626e-16 relative error = 7.021003775295583e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7745478895685608 y2[1] (numeric) = -0.7745478895685597 absolute error = 1.110223024625157e-15 relative error = 1.43338202786089e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8870000000000003 y1[1] (analytic) = -0.6317404059674605 y1[1] (numeric) = -0.6317404059674609 absolute error = 4.440892098500626e-16 relative error = 7.029615418851911e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7751800174592146 y2[1] (numeric) = -0.7751800174592135 absolute error = 1.110223024625157e-15 relative error = 1.432213162903893e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8880000000000003 y1[1] (analytic) = -0.6309649102090212 y1[1] (numeric) = -0.6309649102090218 absolute error = 5.551115123125783e-16 relative error = 8.797819075686557e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7758113701699155 y2[1] (numeric) = -0.7758113701699144 absolute error = 1.110223024625157e-15 relative error = 1.431047632599145e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8890000000000003 y1[1] (analytic) = -0.6301887834857244 y1[1] (numeric) = -0.6301887834857249 absolute error = 5.551115123125783e-16 relative error = 8.808654277248862e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.776441947069311 y2[1] (numeric) = -0.7764419470693099 absolute error = 1.110223024625157e-15 relative error = 1.429885426483855e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8900000000000003 y1[1] (analytic) = -0.6294120265736967 y1[1] (numeric) = -0.6294120265736971 absolute error = 4.440892098500626e-16 relative error = 7.055620024732162e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7770717475268241 y2[1] (numeric) = -0.777071747526823 absolute error = 1.110223024625157e-15 relative error = 1.428726534143917e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8910000000000003 y1[1] (analytic) = -0.6286346402496947 y1[1] (numeric) = -0.6286346402496952 absolute error = 4.440892098500626e-16 relative error = 7.064345192203689e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7777007709126544 y2[1] (numeric) = -0.7777007709126532 absolute error = 1.221245327087672e-15 relative error = 1.570328039735007e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8920000000000003 y1[1] (analytic) = -0.6278566252911049 y1[1] (numeric) = -0.6278566252911054 absolute error = 5.551115123125783e-16 relative error = 8.841373809748389e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7783290165977786 y2[1] (numeric) = -0.7783290165977774 absolute error = 1.221245327087672e-15 relative error = 1.569060514313039e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8930000000000003 y1[1] (analytic) = -0.6270779824759422 y1[1] (numeric) = -0.6270779824759427 absolute error = 5.551115123125783e-16 relative error = 8.852352144796841e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.7789564839539511 y2[1] (numeric) = -0.7789564839539499 absolute error = 1.221245327087672e-15 relative error = 1.56779659999578e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8940000000000003 y1[1] (analytic) = -0.6262987125828491 y1[1] (numeric) = -0.6262987125828497 absolute error = 6.661338147750939e-16 relative error = 1.063603998207126e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7795831723537046 y2[1] (numeric) = -0.7795831723537033 absolute error = 1.221245327087672e-15 relative error = 1.566536285538987e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8950000000000004 y1[1] (analytic) = -0.6255188163910957 y1[1] (numeric) = -0.6255188163910964 absolute error = 6.661338147750939e-16 relative error = 1.064930098535364e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7802090811703506 y2[1] (numeric) = -0.7802090811703494 absolute error = 1.221245327087672e-15 relative error = 1.565279559750505e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8960000000000004 y1[1] (analytic) = -0.6247382946805781 y1[1] (numeric) = -0.6247382946805787 absolute error = 6.661338147750939e-16 relative error = 1.06626057734412e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7808342097779805 y2[1] (numeric) = -0.7808342097779792 absolute error = 1.221245327087672e-15 relative error = 1.564026411489984e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8970000000000004 y1[1] (analytic) = -0.6239571482318178 y1[1] (numeric) = -0.6239571482318185 absolute error = 6.661338147750939e-16 relative error = 1.067595453730752e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7814585575514656 y2[1] (numeric) = -0.7814585575514644 absolute error = 1.221245327087672e-15 relative error = 1.562776829668594e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8980000000000004 y1[1] (analytic) = -0.6231753778259613 y1[1] (numeric) = -0.623175377825962 absolute error = 6.661338147750939e-16 relative error = 1.068934746907041e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7820821238664584 y2[1] (numeric) = -0.7820821238664571 absolute error = 1.221245327087672e-15 relative error = 1.561530803248741e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.8990000000000004 y1[1] (analytic) = -0.622392984244779 y1[1] (numeric) = -0.6223929842447796 absolute error = 6.661338147750939e-16 relative error = 1.070278476200034e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7827049080993924 y2[1] (numeric) = -0.7827049080993912 absolute error = 1.221245327087672e-15 relative error = 1.560288321243785e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9000000000000004 y1[1] (analytic) = -0.6216099682706642 y1[1] (numeric) = -0.6216099682706648 absolute error = 6.661338147750939e-16 relative error = 1.071626661052905e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7833269096274836 y2[1] (numeric) = -0.7833269096274824 absolute error = 1.221245327087672e-15 relative error = 1.559049372717763e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9010000000000004 y1[1] (analytic) = -0.620826330686633 y1[1] (numeric) = -0.6208263306866336 absolute error = 6.661338147750939e-16 relative error = 1.072979321025819e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7839481278287305 y2[1] (numeric) = -0.7839481278287292 absolute error = 1.221245327087672e-15 relative error = 1.55781394678511e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9020000000000004 y1[1] (analytic) = -0.6200420722763228 y1[1] (numeric) = -0.6200420722763235 absolute error = 6.661338147750939e-16 relative error = 1.074336475796807e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7845685620819147 y2[1] (numeric) = -0.7845685620819136 absolute error = 1.110223024625157e-15 relative error = 1.415074575100348e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9030000000000004 y1[1] (analytic) = -0.6192571938239919 y1[1] (numeric) = -0.6192571938239927 absolute error = 7.771561172376096e-16 relative error = 1.254981169356422e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7851882117666024 y2[1] (numeric) = -0.7851882117666013 absolute error = 1.110223024625157e-15 relative error = 1.413957835825445e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9040000000000004 y1[1] (analytic) = -0.6184716961145189 y1[1] (numeric) = -0.6184716961145197 absolute error = 7.771561172376096e-16 relative error = 1.256575073879707e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7858070762631437 y2[1] (numeric) = -0.7858070762631425 absolute error = 1.221245327087672e-15 relative error = 1.554128696441915e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9050000000000004 y1[1] (analytic) = -0.6176855799334013 y1[1] (numeric) = -0.6176855799334021 absolute error = 7.771561172376096e-16 relative error = 1.258174292042567e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7864251549526742 y2[1] (numeric) = -0.7864251549526731 absolute error = 1.110223024625157e-15 relative error = 1.411733866386774e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9060000000000004 y1[1] (analytic) = -0.6168988460667553 y1[1] (numeric) = -0.616898846066756 absolute error = 7.771561172376096e-16 relative error = 1.25977884736311e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7870424472171154 y2[1] (numeric) = -0.7870424472171141 absolute error = 1.221245327087672e-15 relative error = 1.551689278520929e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9070000000000004 y1[1] (analytic) = -0.6161114953013146 y1[1] (numeric) = -0.6161114953013154 absolute error = 7.771561172376096e-16 relative error = 1.261388763502188e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7876589524391748 y2[1] (numeric) = -0.7876589524391736 absolute error = 1.221245327087672e-15 relative error = 1.550474762339453e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9080000000000004 y1[1] (analytic) = -0.6153235284244299 y1[1] (numeric) = -0.6153235284244307 absolute error = 7.771561172376096e-16 relative error = 1.263004064264471e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7882746700023475 y2[1] (numeric) = -0.7882746700023463 absolute error = 1.221245327087672e-15 relative error = 1.549263693940635e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9090000000000004 y1[1] (analytic) = -0.6145349462240681 y1[1] (numeric) = -0.6145349462240689 absolute error = 7.771561172376096e-16 relative error = 1.264624773599527e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7888895992909158 y2[1] (numeric) = -0.7888895992909146 absolute error = 1.221245327087672e-15 relative error = 1.548056062832333e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9100000000000004 y1[1] (analytic) = -0.6137457494888112 y1[1] (numeric) = -0.6137457494888121 absolute error = 8.881784197001252e-16 relative error = 1.447143903546198e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7895037396899507 y2[1] (numeric) = -0.7895037396899495 absolute error = 1.221245327087672e-15 relative error = 1.546851858570388e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9110000000000004 y1[1] (analytic) = -0.6129559390078561 y1[1] (numeric) = -0.6129559390078569 absolute error = 8.881784197001252e-16 relative error = 1.449008588019802e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7901170905853115 y2[1] (numeric) = -0.7901170905853104 absolute error = 1.110223024625157e-15 relative error = 1.405137337053061e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9120000000000004 y1[1] (analytic) = -0.612165515571013 y1[1] (numeric) = -0.6121655155710138 absolute error = 8.881784197001252e-16 relative error = 1.450879536838422e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7907296513636477 y2[1] (numeric) = -0.7907296513636466 absolute error = 1.110223024625157e-15 relative error = 1.404048808224819e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9130000000000004 y1[1] (analytic) = -0.6113744799687053 y1[1] (numeric) = -0.6113744799687062 absolute error = 8.881784197001252e-16 relative error = 1.452756778048028e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7913414214123984 y2[1] (numeric) = -0.7913414214123973 absolute error = 1.110223024625157e-15 relative error = 1.40296336648676e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9140000000000004 y1[1] (analytic) = -0.6105828329919687 y1[1] (numeric) = -0.6105828329919695 absolute error = 7.771561172376096e-16 relative error = 1.272810297383241e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7919524001197936 y2[1] (numeric) = -0.7919524001197925 absolute error = 1.110223024625157e-15 relative error = 1.401881002516338e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9150000000000004 y1[1] (analytic) = -0.6097905754324499 y1[1] (numeric) = -0.6097905754324506 absolute error = 7.771561172376096e-16 relative error = 1.274463969349588e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7925625868748547 y2[1] (numeric) = -0.7925625868748536 absolute error = 1.110223024625157e-15 relative error = 1.400801707033466e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9160000000000004 y1[1] (analytic) = -0.6089977080824065 y1[1] (numeric) = -0.6089977080824073 absolute error = 7.771561172376096e-16 relative error = 1.276123221686162e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7931719810673951 y2[1] (numeric) = -0.7931719810673938 absolute error = 1.221245327087672e-15 relative error = 1.539698017880317e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9170000000000004 y1[1] (analytic) = -0.6082042317347057 y1[1] (numeric) = -0.6082042317347065 absolute error = 7.771561172376096e-16 relative error = 1.277788079542004e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7937805820880204 y2[1] (numeric) = -0.7937805820880192 absolute error = 1.221245327087672e-15 relative error = 1.538517513083044e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9180000000000004 y1[1] (analytic) = -0.6074101471828239 y1[1] (numeric) = -0.6074101471828247 absolute error = 7.771561172376096e-16 relative error = 1.279458568221274e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7943883893281297 y2[1] (numeric) = -0.7943883893281285 absolute error = 1.221245327087672e-15 relative error = 1.537340353275512e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9190000000000004 y1[1] (analytic) = -0.6066154552208456 y1[1] (numeric) = -0.6066154552208464 absolute error = 7.771561172376096e-16 relative error = 1.281134713184445e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7949954021799159 y2[1] (numeric) = -0.7949954021799147 absolute error = 1.221245327087672e-15 relative error = 1.536166528433948e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9200000000000004 y1[1] (analytic) = -0.6058201566434626 y1[1] (numeric) = -0.6058201566434633 absolute error = 7.771561172376096e-16 relative error = 1.282816540049495e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7956016200363663 y2[1] (numeric) = -0.795601620036365 absolute error = 1.221245327087672e-15 relative error = 1.534996028580045e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9210000000000004 y1[1] (analytic) = -0.6050242522459733 y1[1] (numeric) = -0.6050242522459741 absolute error = 7.771561172376096e-16 relative error = 1.284504074593122e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7962070422912628 y2[1] (numeric) = -0.7962070422912616 absolute error = 1.221245327087672e-15 relative error = 1.533828843780717e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9220000000000004 y1[1] (analytic) = -0.6042277428242824 y1[1] (numeric) = -0.6042277428242832 absolute error = 7.771561172376096e-16 relative error = 1.286197342751965e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7968116683391835 y2[1] (numeric) = -0.7968116683391823 absolute error = 1.221245327087672e-15 relative error = 1.532664964147861e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9230000000000004 y1[1] (analytic) = -0.6034306291748989 y1[1] (numeric) = -0.6034306291748996 absolute error = 7.771561172376096e-16 relative error = 1.287896370623835e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7974154975755021 y2[1] (numeric) = -0.797415497575501 absolute error = 1.110223024625157e-15 relative error = 1.392276708943742e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9240000000000004 y1[1] (analytic) = -0.6026329120949365 y1[1] (numeric) = -0.6026329120949373 absolute error = 7.771561172376096e-16 relative error = 1.289601184468961e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7980185293963897 y2[1] (numeric) = -0.7980185293963886 absolute error = 1.110223024625157e-15 relative error = 1.391224619138749e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9250000000000004 y1[1] (analytic) = -0.6018345923821122 y1[1] (numeric) = -0.601834592382113 absolute error = 7.771561172376096e-16 relative error = 1.291311810711245e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7986207631988144 y2[1] (numeric) = -0.7986207631988133 absolute error = 1.110223024625157e-15 relative error = 1.390175507306175e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9260000000000004 y1[1] (analytic) = -0.6010356708347457 y1[1] (numeric) = -0.6010356708347465 absolute error = 7.771561172376096e-16 relative error = 1.293028275939529e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7992221983805424 y2[1] (numeric) = -0.7992221983805413 absolute error = 1.110223024625157e-15 relative error = 1.389129364618241e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9270000000000004 y1[1] (analytic) = -0.6002361482517585 y1[1] (numeric) = -0.6002361482517593 absolute error = 7.771561172376096e-16 relative error = 1.294750606908875e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.7998228343401387 y2[1] (numeric) = -0.7998228343401376 absolute error = 1.110223024625157e-15 relative error = 1.388086182286982e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9280000000000004 y1[1] (analytic) = -0.599436025432673 y1[1] (numeric) = -0.5994360254326738 absolute error = 7.771561172376096e-16 relative error = 1.296478830541855e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8004226704769672 y2[1] (numeric) = -0.8004226704769661 absolute error = 1.110223024625157e-15 relative error = 1.387045951564042e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9290000000000004 y1[1] (analytic) = -0.5986353031776122 y1[1] (numeric) = -0.5986353031776129 absolute error = 7.771561172376096e-16 relative error = 1.298212973929857e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8010217061911921 y2[1] (numeric) = -0.801021706191191 absolute error = 1.110223024625157e-15 relative error = 1.386008663740459e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9300000000000004 y1[1] (analytic) = -0.5978339822872979 y1[1] (numeric) = -0.5978339822872987 absolute error = 7.771561172376096e-16 relative error = 1.299953064334399e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8016199408837774 y2[1] (numeric) = -0.8016199408837763 absolute error = 1.110223024625157e-15 relative error = 1.384974310146461e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9310000000000004 y1[1] (analytic) = -0.5970320635630513 y1[1] (numeric) = -0.5970320635630519 absolute error = 6.661338147750939e-16 relative error = 1.115742110732961e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8022173739564886 y2[1] (numeric) = -0.8022173739564876 absolute error = 9.992007221626409e-16 relative error = 1.245548593936132e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9320000000000004 y1[1] (analytic) = -0.5962295478067907 y1[1] (numeric) = -0.5962295478067914 absolute error = 6.661338147750939e-16 relative error = 1.11724388236954e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8028140048118928 y2[1] (numeric) = -0.8028140048118918 absolute error = 9.992007221626409e-16 relative error = 1.244622934046552e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9330000000000004 y1[1] (analytic) = -0.5954264358210321 y1[1] (numeric) = -0.5954264358210327 absolute error = 6.661338147750939e-16 relative error = 1.118750822436299e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8034098328533591 y2[1] (numeric) = -0.8034098328533581 absolute error = 9.992007221626409e-16 relative error = 1.243699891764977e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9340000000000004 y1[1] (analytic) = -0.5946227284088873 y1[1] (numeric) = -0.5946227284088879 absolute error = 5.551115123125783e-16 relative error = 9.335524624125375e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8040048574850595 y2[1] (numeric) = -0.8040048574850585 absolute error = 9.992007221626409e-16 relative error = 1.242779459427841e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9350000000000004 y1[1] (analytic) = -0.5938184263740636 y1[1] (numeric) = -0.5938184263740641 absolute error = 5.551115123125783e-16 relative error = 9.348169198826736e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8045990781119693 y2[1] (numeric) = -0.8045990781119683 absolute error = 9.992007221626409e-16 relative error = 1.241861629405932e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9360000000000004 y1[1] (analytic) = -0.593013530520863 y1[1] (numeric) = -0.5930135305208636 absolute error = 5.551115123125783e-16 relative error = 9.360857446625304e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.805192494139868 y2[1] (numeric) = -0.805192494139867 absolute error = 9.992007221626409e-16 relative error = 1.240946394104206e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9370000000000004 y1[1] (analytic) = -0.5922080416541813 y1[1] (numeric) = -0.5922080416541819 absolute error = 6.661338147750939e-16 relative error = 1.124830748522799e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8057851049753398 y2[1] (numeric) = -0.8057851049753388 absolute error = 9.992007221626409e-16 relative error = 1.240033745961611e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9380000000000004 y1[1] (analytic) = -0.5914019605795073 y1[1] (numeric) = -0.591401960579508 absolute error = 6.661338147750939e-16 relative error = 1.126363893218003e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8063769100257737 y2[1] (numeric) = -0.8063769100257727 absolute error = 9.992007221626409e-16 relative error = 1.239123677450913e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9390000000000004 y1[1] (analytic) = -0.5905952881029221 y1[1] (numeric) = -0.5905952881029227 absolute error = 6.661338147750939e-16 relative error = 1.127902352412618e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8069679086993649 y2[1] (numeric) = -0.8069679086993639 absolute error = 9.992007221626409e-16 relative error = 1.238216181078512e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9400000000000004 y1[1] (analytic) = -0.589788025031098 y1[1] (numeric) = -0.5897880250310985 absolute error = 5.551115123125783e-16 relative error = 9.412051258302654e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8075581004051146 y2[1] (numeric) = -0.8075581004051136 absolute error = 9.992007221626409e-16 relative error = 1.237311249384271e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9410000000000004 y1[1] (analytic) = -0.5889801721712978 y1[1] (numeric) = -0.5889801721712985 absolute error = 6.661338147750939e-16 relative error = 1.13099531401773e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.808147484552831 y2[1] (numeric) = -0.8081474845528301 absolute error = 8.881784197001252e-16 relative error = 1.09903011105897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9420000000000004 y1[1] (analytic) = -0.5881717303313747 y1[1] (numeric) = -0.5881717303313754 absolute error = 6.661338147750939e-16 relative error = 1.132549866685697e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8087360605531304 y2[1] (numeric) = -0.8087360605531295 absolute error = 8.881784197001252e-16 relative error = 1.0982302669831e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9430000000000004 y1[1] (analytic) = -0.5873627003197702 y1[1] (numeric) = -0.5873627003197709 absolute error = 6.661338147750939e-16 relative error = 1.134109834370551e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8093238278174366 y2[1] (numeric) = -0.8093238278174357 absolute error = 8.881784197001252e-16 relative error = 1.097432682904372e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9440000000000004 y1[1] (analytic) = -0.5865530829455144 y1[1] (numeric) = -0.5865530829455151 absolute error = 6.661338147750939e-16 relative error = 1.135675242605403e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8099107857579824 y2[1] (numeric) = -0.8099107857579815 absolute error = 8.881784197001252e-16 relative error = 1.096637352308987e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9450000000000004 y1[1] (analytic) = -0.5857428790182245 y1[1] (numeric) = -0.5857428790182252 absolute error = 6.661338147750939e-16 relative error = 1.13724611708744e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.81049693378781 y2[1] (numeric) = -0.8104969337878091 absolute error = 8.881784197001252e-16 relative error = 1.095844268712129e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9460000000000004 y1[1] (analytic) = -0.5849320893481045 y1[1] (numeric) = -0.5849320893481051 absolute error = 6.661338147750939e-16 relative error = 1.138822483679237e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8110822713207713 y2[1] (numeric) = -0.8110822713207704 absolute error = 8.881784197001252e-16 relative error = 1.095053425657807e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9470000000000004 y1[1] (analytic) = -0.5841207147459437 y1[1] (numeric) = -0.5841207147459444 absolute error = 6.661338147750939e-16 relative error = 1.140404368410083e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8116667977715288 y2[1] (numeric) = -0.8116667977715279 absolute error = 8.881784197001252e-16 relative error = 1.094264816718711e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9480000000000004 y1[1] (analytic) = -0.5833087560231169 y1[1] (numeric) = -0.5833087560231176 absolute error = 6.661338147750939e-16 relative error = 1.141991797477312e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8122505125555562 y2[1] (numeric) = -0.8122505125555554 absolute error = 8.881784197001252e-16 relative error = 1.093478435496063e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9490000000000004 y1[1] (analytic) = -0.5824962139915828 y1[1] (numeric) = -0.5824962139915835 absolute error = 6.661338147750939e-16 relative error = 1.14358479724766e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8128334150891388 y2[1] (numeric) = -0.8128334150891379 absolute error = 8.881784197001252e-16 relative error = 1.092694275619469e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9500000000000004 y1[1] (analytic) = -0.5816830894638831 y1[1] (numeric) = -0.5816830894638838 absolute error = 6.661338147750939e-16 relative error = 1.145183394258626e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.813415504789374 y2[1] (numeric) = -0.8134155047893731 absolute error = 8.881784197001252e-16 relative error = 1.091912330746769e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9510000000000004 y1[1] (analytic) = -0.5808693832531425 y1[1] (numeric) = -0.5808693832531432 absolute error = 6.661338147750939e-16 relative error = 1.146787615219846e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8139967810741722 y2[1] (numeric) = -0.8139967810741713 absolute error = 8.881784197001252e-16 relative error = 1.091132594563901e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9520000000000004 y1[1] (analytic) = -0.5800550961730671 y1[1] (numeric) = -0.5800550961730677 absolute error = 6.661338147750939e-16 relative error = 1.148397487014482e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8145772433622571 y2[1] (numeric) = -0.8145772433622562 absolute error = 8.881784197001252e-16 relative error = 1.090355060784747e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9530000000000004 y1[1] (analytic) = -0.5792402290379438 y1[1] (numeric) = -0.5792402290379444 absolute error = 5.551115123125783e-16 relative error = 9.583441972505246e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8151568910731666 y2[1] (numeric) = -0.8151568910731657 absolute error = 8.881784197001252e-16 relative error = 1.089579723150993e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9540000000000004 y1[1] (analytic) = -0.5784247826626396 y1[1] (numeric) = -0.5784247826626403 absolute error = 6.661338147750939e-16 relative error = 1.15163429151273e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.815735723627253 y2[1] (numeric) = -0.815735723627252 absolute error = 9.992007221626409e-16 relative error = 1.224907397360988e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9550000000000004 y1[1] (analytic) = -0.5776087578626011 y1[1] (numeric) = -0.5776087578626018 absolute error = 6.661338147750939e-16 relative error = 1.153261278863003e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8163137404456836 y2[1] (numeric) = -0.8163137404456827 absolute error = 8.881784197001252e-16 relative error = 1.088035611424605e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9560000000000004 y1[1] (analytic) = -0.5767921554538529 y1[1] (numeric) = -0.5767921554538535 absolute error = 6.661338147750939e-16 relative error = 1.154894026342889e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8168909409504419 y2[1] (numeric) = -0.816890940950441 absolute error = 8.881784197001252e-16 relative error = 1.087266824953085e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9570000000000004 y1[1] (analytic) = -0.5759749762529972 y1[1] (numeric) = -0.5759749762529979 absolute error = 6.661338147750939e-16 relative error = 1.156532561724512e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8174673245643274 y2[1] (numeric) = -0.8174673245643264 absolute error = 9.992007221626409e-16 relative error = 1.222312736102534e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9580000000000004 y1[1] (analytic) = -0.5751572210772133 y1[1] (numeric) = -0.575157221077214 absolute error = 6.661338147750939e-16 relative error = 1.158176912962147e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8180428907109563 y2[1] (numeric) = -0.8180428907109553 absolute error = 9.992007221626409e-16 relative error = 1.221452730057028e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9590000000000004 y1[1] (analytic) = -0.5743388907442563 y1[1] (numeric) = -0.5743388907442569 absolute error = 6.661338147750939e-16 relative error = 1.15982710819371e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8186176388147627 y2[1] (numeric) = -0.8186176388147617 absolute error = 9.992007221626409e-16 relative error = 1.220595153079447e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9600000000000004 y1[1] (analytic) = -0.5735199860724564 y1[1] (numeric) = -0.573519986072457 absolute error = 6.661338147750939e-16 relative error = 1.161483175742261e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8191915683009985 y2[1] (numeric) = -0.8191915683009975 absolute error = 9.992007221626409e-16 relative error = 1.21973999834371e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9610000000000004 y1[1] (analytic) = -0.5727005078807181 y1[1] (numeric) = -0.5727005078807188 absolute error = 6.661338147750939e-16 relative error = 1.163145144117518e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8197646785957343 y2[1] (numeric) = -0.8197646785957333 absolute error = 9.992007221626409e-16 relative error = 1.21888725905376e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9620000000000004 y1[1] (analytic) = -0.5718804569885197 y1[1] (numeric) = -0.5718804569885204 absolute error = 6.661338147750939e-16 relative error = 1.164813042017392e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8203369691258597 y2[1] (numeric) = -0.8203369691258589 absolute error = 8.881784197001252e-16 relative error = 1.0826994919497e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9630000000000004 y1[1] (analytic) = -0.571059834215912 y1[1] (numeric) = -0.5710598342159127 absolute error = 6.661338147750939e-16 relative error = 1.166486898329528e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8209084393190845 y2[1] (numeric) = -0.8209084393190836 absolute error = 8.881784197001252e-16 relative error = 1.081945777578848e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9640000000000004 y1[1] (analytic) = -0.5702386403835177 y1[1] (numeric) = -0.5702386403835183 absolute error = 6.661338147750939e-16 relative error = 1.168166742132875e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8214790886039384 y2[1] (numeric) = -0.8214790886039375 absolute error = 8.881784197001252e-16 relative error = 1.081194192306878e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9650000000000004 y1[1] (analytic) = -0.5694168763125305 y1[1] (numeric) = -0.5694168763125311 absolute error = 6.661338147750939e-16 relative error = 1.169852602699256e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8220489164097721 y2[1] (numeric) = -0.8220489164097712 absolute error = 8.881784197001252e-16 relative error = 1.080444730198256e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9660000000000004 y1[1] (analytic) = -0.5685945428247144 y1[1] (numeric) = -0.5685945428247151 absolute error = 6.661338147750939e-16 relative error = 1.171544509494965e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8226179221667578 y2[1] (numeric) = -0.822617922166757 absolute error = 7.771561172376096e-16 relative error = 9.447352121755349e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9670000000000004 y1[1] (analytic) = -0.5677716407424029 y1[1] (numeric) = -0.5677716407424036 absolute error = 6.661338147750939e-16 relative error = 1.173242492182377e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.82318610530589 y2[1] (numeric) = -0.8231861053058892 absolute error = 7.771561172376096e-16 relative error = 9.440831328765249e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9680000000000004 y1[1] (analytic) = -0.566948170888498 y1[1] (numeric) = -0.5669481708884987 absolute error = 6.661338147750939e-16 relative error = 1.174946580621569e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8237534652589854 y2[1] (numeric) = -0.8237534652589846 absolute error = 7.771561172376096e-16 relative error = 9.434328959008072e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9690000000000004 y1[1] (analytic) = -0.5661241340864694 y1[1] (numeric) = -0.5661241340864701 absolute error = 6.661338147750939e-16 relative error = 1.176656804871967e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8243200014586842 y2[1] (numeric) = -0.8243200014586834 absolute error = 7.771561172376096e-16 relative error = 9.427844961451677e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9700000000000004 y1[1] (analytic) = -0.5652995311603539 y1[1] (numeric) = -0.5652995311603546 absolute error = 6.661338147750939e-16 relative error = 1.178373195193996e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8248857133384503 y2[1] (numeric) = -0.8248857133384495 absolute error = 7.771561172376096e-16 relative error = 9.421379285287036e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9710000000000004 y1[1] (analytic) = -0.5644743629347544 y1[1] (numeric) = -0.5644743629347551 absolute error = 6.661338147750939e-16 relative error = 1.180095782050761e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8254506003325718 y2[1] (numeric) = -0.825450600332571 absolute error = 7.771561172376096e-16 relative error = 9.414931879927103e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9720000000000004 y1[1] (analytic) = -0.563648630234839 y1[1] (numeric) = -0.5636486302348397 absolute error = 6.661338147750939e-16 relative error = 1.181824596109735e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8260146618761617 y2[1] (numeric) = -0.8260146618761609 absolute error = 7.771561172376096e-16 relative error = 9.408502695005708e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9730000000000004 y1[1] (analytic) = -0.5628223338863403 y1[1] (numeric) = -0.562822333886341 absolute error = 6.661338147750939e-16 relative error = 1.183559668244468e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8265778974051585 y2[1] (numeric) = -0.8265778974051577 absolute error = 7.771561172376096e-16 relative error = 9.402091680376446e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9740000000000004 y1[1] (analytic) = -0.5619954747155547 y1[1] (numeric) = -0.5619954747155553 absolute error = 6.661338147750939e-16 relative error = 1.185301029536309e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.827140306356327 y2[1] (numeric) = -0.8271403063563261 absolute error = 8.881784197001252e-16 relative error = 1.07379414698418e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9750000000000004 y1[1] (analytic) = -0.5611680535493411 y1[1] (numeric) = -0.5611680535493417 absolute error = 6.661338147750939e-16 relative error = 1.187048711276156e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8277018881672579 y2[1] (numeric) = -0.827701888167257 absolute error = 8.881784197001252e-16 relative error = 1.073065595714391e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9760000000000004 y1[1] (analytic) = -0.5603400712151207 y1[1] (numeric) = -0.5603400712151214 absolute error = 6.661338147750939e-16 relative error = 1.188802744966204e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8282626422763696 y2[1] (numeric) = -0.8282626422763687 absolute error = 8.881784197001252e-16 relative error = 1.072339104005808e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9770000000000004 y1[1] (analytic) = -0.5595115285408758 y1[1] (numeric) = -0.5595115285408766 absolute error = 7.771561172376096e-16 relative error = 1.388990356042027e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8288225681229081 y2[1] (numeric) = -0.8288225681229072 absolute error = 8.881784197001252e-16 relative error = 1.071614666226626e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9780000000000004 y1[1] (analytic) = -0.5586824263551491 y1[1] (numeric) = -0.5586824263551499 absolute error = 7.771561172376096e-16 relative error = 1.391051661151731e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8293816651469476 y2[1] (numeric) = -0.8293816651469467 absolute error = 8.881784197001252e-16 relative error = 1.070892276769538e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9790000000000004 y1[1] (analytic) = -0.5578527654870425 y1[1] (numeric) = -0.5578527654870433 absolute error = 7.771561172376096e-16 relative error = 1.393120488627677e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8299399327893909 y2[1] (numeric) = -0.82993993278939 absolute error = 8.881784197001252e-16 relative error = 1.070171930051609e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9800000000000004 y1[1] (analytic) = -0.557022546766217 y1[1] (numeric) = -0.5570225467662178 absolute error = 7.771561172376096e-16 relative error = 1.39519687622947e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8304973704919707 y2[1] (numeric) = -0.8304973704919698 absolute error = 8.881784197001252e-16 relative error = 1.069453620514157e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9810000000000004 y1[1] (analytic) = -0.556191771022891 y1[1] (numeric) = -0.5561917710228919 absolute error = 8.881784197001252e-16 relative error = 1.596892413684364e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8310539776972492 y2[1] (numeric) = -0.8310539776972483 absolute error = 8.881784197001252e-16 relative error = 1.068737342622631e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9820000000000004 y1[1] (analytic) = -0.5553604390878404 y1[1] (numeric) = -0.5553604390878413 absolute error = 8.881784197001252e-16 relative error = 1.599282839013392e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8316097538486192 y2[1] (numeric) = -0.8316097538486183 absolute error = 8.881784197001252e-16 relative error = 1.068023090866492e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9830000000000004 y1[1] (analytic) = -0.554528551792397 y1[1] (numeric) = -0.5545285517923979 absolute error = 8.881784197001252e-16 relative error = 1.601682035720749e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8321646983903047 y2[1] (numeric) = -0.8321646983903038 absolute error = 8.881784197001252e-16 relative error = 1.067310859759096e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9840000000000004 y1[1] (analytic) = -0.553696109968448 y1[1] (numeric) = -0.5536961099684489 absolute error = 8.881784197001252e-16 relative error = 1.604090048150668e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8327188107673612 y2[1] (numeric) = -0.8327188107673603 absolute error = 8.881784197001252e-16 relative error = 1.066600643837573e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9850000000000004 y1[1] (analytic) = -0.5528631144484352 y1[1] (numeric) = -0.5528631144484361 absolute error = 8.881784197001252e-16 relative error = 1.606506920951343e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8332720904256763 y2[1] (numeric) = -0.8332720904256754 absolute error = 8.881784197001252e-16 relative error = 1.065892437662709e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9860000000000004 y1[1] (analytic) = -0.552029566065354 y1[1] (numeric) = -0.5520295660653549 absolute error = 8.881784197001252e-16 relative error = 1.608932699077525e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8338245368119703 y2[1] (numeric) = -0.8338245368119696 absolute error = 7.771561172376096e-16 relative error = 9.320379563414795e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9870000000000004 y1[1] (analytic) = -0.5511954656527528 y1[1] (numeric) = -0.5511954656527537 absolute error = 8.881784197001252e-16 relative error = 1.611367427793153e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8343761493737971 y2[1] (numeric) = -0.8343761493737963 absolute error = 7.771561172376096e-16 relative error = 9.314217787994882e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9880000000000004 y1[1] (analytic) = -0.5503608140447318 y1[1] (numeric) = -0.5503608140447327 absolute error = 8.881784197001252e-16 relative error = 1.613811152673992e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8349269275595441 y2[1] (numeric) = -0.8349269275595432 absolute error = 8.881784197001252e-16 relative error = 1.063779823578373e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9890000000000004 y1[1] (analytic) = -0.5495256120759426 y1[1] (numeric) = -0.5495256120759435 absolute error = 8.881784197001252e-16 relative error = 1.616263919610324e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.835476870818433 y2[1] (numeric) = -0.8354768708184321 absolute error = 8.881784197001252e-16 relative error = 1.063079602467111e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9900000000000004 y1[1] (analytic) = -0.5486898605815872 y1[1] (numeric) = -0.5486898605815881 absolute error = 8.881784197001252e-16 relative error = 1.618725774809644e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8360259786005207 y2[1] (numeric) = -0.8360259786005199 absolute error = 8.881784197001252e-16 relative error = 1.062381364257252e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9910000000000004 y1[1] (analytic) = -0.5478535603974169 y1[1] (numeric) = -0.5478535603974178 absolute error = 8.881784197001252e-16 relative error = 1.6211967647994e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8365742503566995 y2[1] (numeric) = -0.8365742503566986 absolute error = 8.881784197001252e-16 relative error = 1.061685103649106e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9920000000000004 y1[1] (analytic) = -0.5470167123597319 y1[1] (numeric) = -0.5470167123597328 absolute error = 8.881784197001252e-16 relative error = 1.623676936429754e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8371216855386977 y2[1] (numeric) = -0.8371216855386968 absolute error = 8.881784197001252e-16 relative error = 1.060990815365835e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9930000000000004 y1[1] (analytic) = -0.5461793173053801 y1[1] (numeric) = -0.5461793173053811 absolute error = 9.992007221626409e-16 relative error = 1.829437128985914e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8376682835990802 y2[1] (numeric) = -0.8376682835990792 absolute error = 9.992007221626409e-16 relative error = 1.192835805922518e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9940000000000004 y1[1] (analytic) = -0.5453413760717565 y1[1] (numeric) = -0.5453413760717575 absolute error = 9.992007221626409e-16 relative error = 1.832248140348634e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8382140439912488 y2[1] (numeric) = -0.8382140439912478 absolute error = 9.992007221626409e-16 relative error = 1.192059151627711e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9950000000000004 y1[1] (analytic) = -0.5445028894968023 y1[1] (numeric) = -0.5445028894968033 absolute error = 9.992007221626409e-16 relative error = 1.83506964138619e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8387589661694432 y2[1] (numeric) = -0.8387589661694422 absolute error = 9.992007221626409e-16 relative error = 1.191284698542091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9960000000000004 y1[1] (analytic) = -0.5436638584190039 y1[1] (numeric) = -0.5436638584190049 absolute error = 9.992007221626409e-16 relative error = 1.837901686288944e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8393030495887414 y2[1] (numeric) = -0.8393030495887405 absolute error = 8.881784197001252e-16 relative error = 1.058233280738504e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9970000000000004 y1[1] (analytic) = -0.5428242836773924 y1[1] (numeric) = -0.5428242836773934 absolute error = 9.992007221626409e-16 relative error = 1.840744329626342e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8398462937050599 y2[1] (numeric) = -0.839846293705059 absolute error = 8.881784197001252e-16 relative error = 1.057548775719237e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9980000000000004 y1[1] (analytic) = -0.5419841661115425 y1[1] (numeric) = -0.5419841661115435 absolute error = 9.992007221626409e-16 relative error = 1.843597626350216e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8403886979751548 y2[1] (numeric) = -0.8403886979751538 absolute error = 9.992007221626409e-16 relative error = 1.188974488317287e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.9990000000000004 y1[1] (analytic) = -0.5411435065615716 y1[1] (numeric) = -0.5411435065615727 absolute error = 1.110223024625157e-15 relative error = 2.051624035331254e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8409302618566217 y2[1] (numeric) = -0.8409302618566207 absolute error = 9.992007221626409e-16 relative error = 1.188208781970323e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1 y1[1] (analytic) = -0.5403023058681393 y1[1] (numeric) = -0.5403023058681404 absolute error = 1.110223024625157e-15 relative error = 2.054818224107499e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8414709848078967 y2[1] (numeric) = -0.8414709848078957 absolute error = 9.992007221626409e-16 relative error = 1.187445247908046e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.001 y1[1] (analytic) = -0.5394605648724463 y1[1] (numeric) = -0.5394605648724473 absolute error = 9.992007221626409e-16 relative error = 1.852221992165263e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8420108662882571 y2[1] (numeric) = -0.8420108662882562 absolute error = 8.881784197001252e-16 relative error = 1.054830115928769e-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 y1[1] (analytic) = -0.5386182844162333 y1[1] (numeric) = -0.5386182844162343 absolute error = 9.992007221626409e-16 relative error = 1.855118459718829e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8425499057578213 y2[1] (numeric) = -0.8425499057578205 absolute error = 7.771561172376096e-16 relative error = 9.223858574153016e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.003 y1[1] (analytic) = -0.5377754653417808 y1[1] (numeric) = -0.5377754653417817 absolute error = 8.881784197001252e-16 relative error = 1.651578543352935e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8430881026775501 y2[1] (numeric) = -0.8430881026775493 absolute error = 7.771561172376096e-16 relative error = 9.21797039680019e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.004 y1[1] (analytic) = -0.5369321084919078 y1[1] (numeric) = -0.5369321084919085 absolute error = 7.771561172376096e-16 relative error = 1.447401086555289e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8436254565092463 y2[1] (numeric) = -0.8436254565092456 absolute error = 6.661338147750939e-16 relative error = 7.896084804403872e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.005 y1[1] (analytic) = -0.5360882147099709 y1[1] (numeric) = -0.5360882147099717 absolute error = 7.771561172376096e-16 relative error = 1.44967954137559e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8441619667155563 y2[1] (numeric) = -0.8441619667155557 absolute error = 6.661338147750939e-16 relative error = 7.891066419005706e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.006 y1[1] (analytic) = -0.5352437848398641 y1[1] (numeric) = -0.5352437848398648 absolute error = 6.661338147750939e-16 relative error = 1.244542830094496e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8446976327599701 y2[1] (numeric) = -0.8446976327599695 absolute error = 6.661338147750939e-16 relative error = 7.886062289514939e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.007 y1[1] (analytic) = -0.534398819726017 y1[1] (numeric) = -0.5343988197260177 absolute error = 6.661338147750939e-16 relative error = 1.24651063996851e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8452324541068214 y2[1] (numeric) = -0.8452324541068208 absolute error = 5.551115123125783e-16 relative error = 6.567560315690655e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.008 y1[1] (analytic) = -0.5335533202133947 y1[1] (numeric) = -0.5335533202133953 absolute error = 5.551115123125783e-16 relative error = 1.040404944140468e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8457664302212891 y2[1] (numeric) = -0.8457664302212885 absolute error = 5.551115123125783e-16 relative error = 6.563413875002548e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.008999999999999 y1[1] (analytic) = -0.5327072871474968 y1[1] (numeric) = -0.5327072871474972 absolute error = 3.33066907387547e-16 relative error = 6.252343743428592e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8462995605693969 y2[1] (numeric) = -0.8462995605693965 absolute error = 4.440892098500626e-16 relative error = 5.24742337750094e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.009999999999999 y1[1] (analytic) = -0.531860721374356 y1[1] (numeric) = -0.5318607213743562 absolute error = 2.220446049250313e-16 relative error = 4.174863756647725e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8468318446180149 y2[1] (numeric) = -0.8468318446180144 absolute error = 4.440892098500626e-16 relative error = 5.244125060629722e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.010999999999999 y1[1] (analytic) = -0.5310136237405382 y1[1] (numeric) = -0.5310136237405383 absolute error = 1.110223024625157e-16 relative error = 2.090761846757494e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8473632818348587 y2[1] (numeric) = -0.8473632818348583 absolute error = 3.33066907387547e-16 relative error = 3.930627093804826e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.011999999999999 y1[1] (analytic) = -0.5301659950931409 y1[1] (numeric) = -0.5301659950931409 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = -0.8478938716884913 y2[1] (numeric) = -0.847893871688491 absolute error = 3.33066907387547e-16 relative error = 3.928167409964638e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.012999999999999 y1[1] (analytic) = -0.5293178362797927 y1[1] (numeric) = -0.5293178362797926 absolute error = 1.110223024625157e-16 relative error = 2.097460067524161e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8484236136483229 y2[1] (numeric) = -0.8484236136483225 absolute error = 3.33066907387547e-16 relative error = 3.925714725870482e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.013999999999999 y1[1] (analytic) = -0.5284691481486523 y1[1] (numeric) = -0.5284691481486521 absolute error = 2.220446049250313e-16 relative error = 4.201656912289092e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8489525071846115 y2[1] (numeric) = -0.8489525071846112 absolute error = 2.220446049250313e-16 relative error = 2.615512682345444e-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 y1[1] (analytic) = -0.5276199315484078 y1[1] (numeric) = -0.5276199315484075 absolute error = 3.33066907387547e-16 relative error = 6.312629365803042e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8494805517684637 y2[1] (numeric) = -0.8494805517684635 absolute error = 2.220446049250313e-16 relative error = 2.613886856653456e-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 y1[1] (analytic) = -0.5267701873282757 y1[1] (numeric) = -0.5267701873282753 absolute error = 4.440892098500626e-16 relative error = 8.430416537094429e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.8500077468718349 y2[1] (numeric) = -0.8500077468718348 absolute error = 1.110223024625157e-16 relative error = 1.306132830801785e-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 y1[1] (analytic) = -0.5259199163380003 y1[1] (numeric) = -0.5259199163379997 absolute error = 5.551115123125783e-16 relative error = 1.05550578152248e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.85053409196753 y2[1] (numeric) = -0.85053409196753 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] = 1.017999999999998 y1[1] (analytic) = -0.5250691194278522 y1[1] (numeric) = -0.5250691194278516 absolute error = 5.551115123125783e-16 relative error = 1.05721607265242e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8510595865292041 y2[1] (numeric) = -0.8510595865292042 absolute error = 1.110223024625157e-16 relative error = 1.304518558039954e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.018999999999998 y1[1] (analytic) = -0.5242177974486285 y1[1] (numeric) = -0.5242177974486278 absolute error = 6.661338147750939e-16 relative error = 1.270719571172844e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8515842300313626 y2[1] (numeric) = -0.8515842300313627 absolute error = 1.110223024625157e-16 relative error = 1.303714871028399e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y1[1] (analytic) = -0.5233659512516511 y1[1] (numeric) = -0.5233659512516503 absolute error = 7.771561172376096e-16 relative error = 1.484919138088767e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.852108021949362 y2[1] (numeric) = -0.8521080219493622 absolute error = 2.220446049250313e-16 relative error = 2.605826951576648e-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 y1[1] (analytic) = -0.5225135816887659 y1[1] (numeric) = -0.5225135816887652 absolute error = 7.771561172376096e-16 relative error = 1.487341467231987e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8526309617594104 y2[1] (numeric) = -0.8526309617594107 absolute error = 2.220446049250313e-16 relative error = 2.604228732989482e-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 y1[1] (analytic) = -0.5216606896123427 y1[1] (numeric) = -0.5216606896123418 absolute error = 8.881784197001252e-16 relative error = 1.702597948026618e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8531530489385682 y2[1] (numeric) = -0.8531530489385685 absolute error = 2.220446049250313e-16 relative error = 2.602635074694784e-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 y1[1] (analytic) = -0.5208072758752733 y1[1] (numeric) = -0.5208072758752723 absolute error = 9.992007221626409e-16 relative error = 1.918561372790684e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8536742829647481 y2[1] (numeric) = -0.8536742829647485 absolute error = 3.33066907387547e-16 relative error = 3.901568947711884e-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 y1[1] (analytic) = -0.5199533413309715 y1[1] (numeric) = -0.5199533413309704 absolute error = 1.110223024625157e-15 relative error = 2.135235869017052e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8541946633167162 y2[1] (numeric) = -0.8541946633167166 absolute error = 3.33066907387547e-16 relative error = 3.899192089239888e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.024999999999998 y1[1] (analytic) = -0.5190988868333717 y1[1] (numeric) = -0.5190988868333705 absolute error = 1.221245327087672e-15 relative error = 2.352625594205302e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8547141894740922 y2[1] (numeric) = -0.8547141894740926 absolute error = 4.440892098500626e-16 relative error = 5.19576269259449e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.025999999999998 y1[1] (analytic) = -0.5182439132369282 y1[1] (numeric) = -0.518243913236927 absolute error = 1.221245327087672e-15 relative error = 2.356506841459707e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.85523286091735 y2[1] (numeric) = -0.8552328609173504 absolute error = 4.440892098500626e-16 relative error = 5.192611628296396e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.026999999999997 y1[1] (analytic) = -0.5173884213966148 y1[1] (numeric) = -0.5173884213966135 absolute error = 1.332267629550188e-15 relative error = 2.574985396762311e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8557506771278179 y2[1] (numeric) = -0.8557506771278185 absolute error = 5.551115123125783e-16 relative error = 6.486836962556851e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.027999999999997 y1[1] (analytic) = -0.516532412167923 y1[1] (numeric) = -0.5165324121679216 absolute error = 1.443289932012704e-15 relative error = 2.794190447710946e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8562676375876802 y2[1] (numeric) = -0.8562676375876808 absolute error = 5.551115123125783e-16 relative error = 6.482920619030588e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.028999999999997 y1[1] (analytic) = -0.5156758864068621 y1[1] (numeric) = -0.5156758864068606 absolute error = 1.554312234475219e-15 relative error = 3.01412626699571e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8567837417799763 y2[1] (numeric) = -0.8567837417799768 absolute error = 5.551115123125783e-16 relative error = 6.479015476639751e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y1[1] (analytic) = -0.5148188449699578 y1[1] (numeric) = -0.5148188449699561 absolute error = 1.665334536937735e-15 relative error = 3.234797158668337e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8572989891886019 y2[1] (numeric) = -0.8572989891886026 absolute error = 6.661338147750939e-16 relative error = 7.770145808821751e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.030999999999997 y1[1] (analytic) = -0.5139612887142514 y1[1] (numeric) = -0.5139612887142496 absolute error = 1.77635683940025e-15 relative error = 3.456207458433425e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8578133792983098 y2[1] (numeric) = -0.8578133792983106 absolute error = 7.771561172376096e-16 relative error = 9.059734156551886e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.031999999999997 y1[1] (analytic) = -0.5131032184972991 y1[1] (numeric) = -0.5131032184972972 absolute error = 1.887379141862766e-15 relative error = 3.678361533942904e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8583269115947099 y2[1] (numeric) = -0.8583269115947108 absolute error = 8.881784197001252e-16 relative error = 1.034778716246883e-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 y1[1] (analytic) = -0.5122446351771711 y1[1] (numeric) = -0.5122446351771691 absolute error = 1.998401444325282e-15 relative error = 3.901263785093797e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8588395855642699 y2[1] (numeric) = -0.8588395855642709 absolute error = 9.992007221626409e-16 relative error = 1.163431144718547e-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 y1[1] (analytic) = -0.5113855396124506 y1[1] (numeric) = -0.5113855396124485 absolute error = 2.109423746787797e-15 relative error = 4.124918644329301e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8593514006943159 y2[1] (numeric) = -0.8593514006943169 absolute error = 9.992007221626409e-16 relative error = 1.162738224846475e-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 y1[1] (analytic) = -0.5105259326622331 y1[1] (numeric) = -0.5105259326622309 absolute error = 2.220446049250313e-15 relative error = 4.349330576943234e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8598623564730328 y2[1] (numeric) = -0.8598623564730339 absolute error = 1.110223024625157e-15 relative error = 1.291163656912542e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.035999999999996 y1[1] (analytic) = -0.5096658151861255 y1[1] (numeric) = -0.5096658151861232 absolute error = 2.331468351712829e-15 relative error = 4.574504081387913e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8603724523894649 y2[1] (numeric) = -0.860372452389466 absolute error = 1.110223024625157e-15 relative error = 1.29039815435954e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.036999999999996 y1[1] (analytic) = -0.5088051880442452 y1[1] (numeric) = -0.5088051880442428 absolute error = 2.442490654175344e-15 relative error = 4.800443689585468e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8608816879335164 y2[1] (numeric) = -0.8608816879335175 absolute error = 1.110223024625157e-15 relative error = 1.289634847838575e-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 y1[1] (analytic) = -0.5079440520972193 y1[1] (numeric) = -0.5079440520972167 absolute error = 2.55351295663786e-15 relative error = 5.027153967242683e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8613900625959516 y2[1] (numeric) = -0.8613900625959527 absolute error = 1.110223024625157e-15 relative error = 1.288873731929647e-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 y1[1] (analytic) = -0.5070824082061836 y1[1] (numeric) = -0.5070824082061809 absolute error = 2.664535259100376e-15 relative error = 5.254639514169372e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.861897575868396 y2[1] (numeric) = -0.8618975758683972 absolute error = 1.221245327087672e-15 relative error = 1.41692628135915e-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 y1[1] (analytic) = -0.5062202572327819 y1[1] (numeric) = -0.5062202572327791 absolute error = 2.775557561562891e-15 relative error = 5.482904964600361e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8624042272433364 y2[1] (numeric) = -0.8624042272433377 absolute error = 1.221245327087672e-15 relative error = 1.416093855420174e-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 y1[1] (analytic) = -0.5053576000391651 y1[1] (numeric) = -0.5053576000391623 absolute error = 2.775557561562891e-15 relative error = 5.49226441107799e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8629100162141214 y2[1] (numeric) = -0.8629100162141227 absolute error = 1.221245327087672e-15 relative error = 1.415263821418703e-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 y1[1] (analytic) = -0.5044944374879904 y1[1] (numeric) = -0.5044944374879875 absolute error = 2.886579864025407e-15 relative error = 5.721727831923068e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8634149422749621 y2[1] (numeric) = -0.8634149422749634 absolute error = 1.332267629550188e-15 relative error = 1.543021280173671e-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 y1[1] (analytic) = -0.5036307704424203 y1[1] (numeric) = -0.5036307704424173 absolute error = 2.997602166487923e-15 relative error = 5.951983759559894e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8639190049209324 y2[1] (numeric) = -0.8639190049209339 absolute error = 1.443289932012704e-15 relative error = 1.670631070495777e-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 y1[1] (analytic) = -0.5027665997661217 y1[1] (numeric) = -0.5027665997661187 absolute error = 2.997602166487923e-15 relative error = 5.962214212086393e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.86442220364797 y2[1] (numeric) = -0.8644222036479714 absolute error = 1.443289932012704e-15 relative error = 1.669658560275106e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.044999999999995 y1[1] (analytic) = -0.5019019263232652 y1[1] (numeric) = -0.5019019263232621 absolute error = 3.108624468950438e-15 relative error = 6.193689057388144e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8649245379528757 y2[1] (numeric) = -0.8649245379528773 absolute error = 1.554312234475219e-15 relative error = 1.797049530071147e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.045999999999995 y1[1] (analytic) = -0.5010367509785243 y1[1] (numeric) = -0.5010367509785211 absolute error = 3.219646771412954e-15 relative error = 6.425969282941794e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8654260073333156 y2[1] (numeric) = -0.8654260073333173 absolute error = 1.665334536937735e-15 relative error = 1.924294535669457e-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 y1[1] (analytic) = -0.5001710745970742 y1[1] (numeric) = -0.5001710745970708 absolute error = 3.441691376337985e-15 relative error = 6.881028414349089e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8659266112878204 y2[1] (numeric) = -0.8659266112878221 absolute error = 1.665334536937735e-15 relative error = 1.923182074819276e-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 y1[1] (analytic) = -0.4993048980445911 y1[1] (numeric) = -0.4993048980445876 absolute error = 3.497202527569243e-15 relative error = 7.004142241073951e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.866426349315786 y2[1] (numeric) = -0.8664263493157878 absolute error = 1.77635683940025e-15 relative error = 2.050211008475254e-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 y1[1] (analytic) = -0.4984382221872515 y1[1] (numeric) = -0.498438222187248 absolute error = 3.552713678800501e-15 relative error = 7.127691097224542e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8669252209174746 y2[1] (numeric) = -0.8669252209174764 absolute error = 1.77635683940025e-15 relative error = 2.049031215772355e-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 y1[1] (analytic) = -0.4975710478917314 y1[1] (numeric) = -0.4975710478917277 absolute error = 3.663735981263017e-15 relative error = 7.363241886333034e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8674232255940144 y2[1] (numeric) = -0.8674232255940163 absolute error = 1.887379141862766e-15 relative error = 2.175845753461676e-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 y1[1] (analytic) = -0.4967033760252048 y1[1] (numeric) = -0.496703376025201 absolute error = 3.719247132494274e-15 relative error = 7.487863606357981e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8679203628474009 y2[1] (numeric) = -0.8679203628474028 absolute error = 1.887379141862766e-15 relative error = 2.174599447892672e-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 y1[1] (analytic) = -0.4958352074553435 y1[1] (numeric) = -0.4958352074553397 absolute error = 3.83026943495679e-15 relative error = 7.724883948064047e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8684166321804969 y2[1] (numeric) = -0.8684166321804989 absolute error = 1.998401444325282e-15 relative error = 2.30120125556269e-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 y1[1] (analytic) = -0.4949665430503162 y1[1] (numeric) = -0.4949665430503122 absolute error = 3.941291737419306e-15 relative error = 7.962743730375027e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8689120330970331 y2[1] (numeric) = -0.8689120330970351 absolute error = 1.998401444325282e-15 relative error = 2.299889250241418e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.053999999999994 y1[1] (analytic) = -0.494097383678787 y1[1] (numeric) = -0.494097383678783 absolute error = 3.996802888650564e-15 relative error = 8.089099478512697e-13 % Correct digits = 14 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.054999999999994 y1[1] (analytic) = -0.4932277302099153 y1[1] (numeric) = -0.4932277302099112 absolute error = 4.163336342344337e-15 relative error = 8.441002172713285e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8699002276996914 y2[1] (numeric) = -0.8699002276996936 absolute error = 2.109423746787797e-15 relative error = 2.424903086145664e-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 y1[1] (analytic) = -0.4923575835133545 y1[1] (numeric) = -0.4923575835133503 absolute error = 4.218847493575595e-15 relative error = 8.56866560980098e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.870393020397619 y2[1] (numeric) = -0.8703930203976212 absolute error = 2.220446049250313e-15 relative error = 2.551084392009432e-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 y1[1] (analytic) = -0.4914869444592513 y1[1] (numeric) = -0.491486944459247 absolute error = 4.329869796038111e-15 relative error = 8.809735120842251e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8708849427025989 y2[1] (numeric) = -0.8708849427026011 absolute error = 2.220446049250313e-15 relative error = 2.549643403363537e-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 y1[1] (analytic) = -0.4906158139182445 y1[1] (numeric) = -0.4906158139182401 absolute error = 4.385380947269368e-15 relative error = 8.938523428843535e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8713759941227085 y2[1] (numeric) = -0.8713759941227108 absolute error = 2.331468351712829e-15 relative error = 2.675616917884139e-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 y1[1] (analytic) = -0.4897441927614647 y1[1] (numeric) = -0.4897441927614602 absolute error = 4.496403249731884e-15 relative error = 9.181126220973704e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8718661741668966 y2[1] (numeric) = -0.871866174166899 absolute error = 2.442490654175344e-15 relative error = 2.801451331116548e-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 y1[1] (analytic) = -0.4888720818605329 y1[1] (numeric) = -0.4888720818605283 absolute error = 4.6074255521944e-15 relative error = 9.424603537718117e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8723554823449833 y2[1] (numeric) = -0.8723554823449857 absolute error = 2.442490654175344e-15 relative error = 2.799879984257877e-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 y1[1] (analytic) = -0.4879994820875601 y1[1] (numeric) = -0.4879994820875553 absolute error = 4.718447854656915e-15 relative error = 9.668960783467184e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8728439181676603 y2[1] (numeric) = -0.8728439181676627 absolute error = 2.442490654175344e-15 relative error = 2.798313195906555e-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 y1[1] (analytic) = -0.4871263943151458 y1[1] (numeric) = -0.4871263943151409 absolute error = 4.829470157119431e-15 relative error = 9.914203404866237e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.8733314811464917 y2[1] (numeric) = -0.8733314811464943 absolute error = 2.55351295663786e-15 relative error = 2.923875998705166e-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 y1[1] (analytic) = -0.4862528194163778 y1[1] (numeric) = -0.4862528194163728 absolute error = 4.940492459581947e-15 relative error = 1.016033689123231e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.873818170793915 y2[1] (numeric) = -0.8738181707939175 absolute error = 2.55351295663786e-15 relative error = 2.922247490365008e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.063999999999993 y1[1] (analytic) = -0.4853787582648308 y1[1] (numeric) = -0.4853787582648258 absolute error = 5.051514762044462e-15 relative error = 1.040736677497591e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8743039866232402 y2[1] (numeric) = -0.8743039866232428 absolute error = 2.664535259100376e-15 relative error = 3.047607353812275e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.064999999999993 y1[1] (analytic) = -0.4845042117345661 y1[1] (numeric) = -0.484504211734561 absolute error = 5.10702591327572e-15 relative error = 1.05407255284575e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8747889281486516 y2[1] (numeric) = -0.8747889281486543 absolute error = 2.664535259100376e-15 relative error = 3.045917904721806e-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 y1[1] (analytic) = -0.48362918070013 y1[1] (numeric) = -0.4836291807001248 absolute error = 5.218048215738236e-15 relative error = 1.078935768140434e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8752729948852078 y2[1] (numeric) = -0.8752729948852105 absolute error = 2.664535259100376e-15 relative error = 3.044233370241053e-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 y1[1] (analytic) = -0.4827536660365536 y1[1] (numeric) = -0.4827536660365482 absolute error = 5.384581669432009e-15 relative error = 1.115389078997547e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.875756186348842 y2[1] (numeric) = -0.8757561863488448 absolute error = 2.775557561562891e-15 relative error = 3.169326811306471e-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 y1[1] (analytic) = -0.4818776686193513 y1[1] (numeric) = -0.4818776686193458 absolute error = 5.495603971894525e-15 relative error = 1.140456246424579e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8762385020563629 y2[1] (numeric) = -0.8762385020563657 absolute error = 2.775557561562891e-15 relative error = 3.167582290722438e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.068999999999993 y1[1] (analytic) = -0.4810011893245205 y1[1] (numeric) = -0.4810011893245149 absolute error = 5.606626274357041e-15 relative error = 1.165615885946257e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8767199415254547 y2[1] (numeric) = -0.8767199415254575 absolute error = 2.775557561562891e-15 relative error = 3.165842853686596e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y1[1] (analytic) = -0.4801242290285405 y1[1] (numeric) = -0.4801242290285348 absolute error = 5.717648576819556e-15 relative error = 1.190868577573842e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8772005042746781 y2[1] (numeric) = -0.8772005042746809 absolute error = 2.775557561562891e-15 relative error = 3.164108488352829e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.070999999999993 y1[1] (analytic) = -0.4792467886083715 y1[1] (numeric) = -0.4792467886083657 absolute error = 5.828670879282072e-15 relative error = 1.216214905937558e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8776801898234703 y2[1] (numeric) = -0.8776801898234732 absolute error = 2.886579864025407e-15 relative error = 3.288874350241391e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.071999999999993 y1[1] (analytic) = -0.4783688689414538 y1[1] (numeric) = -0.4783688689414479 absolute error = 5.939693181744587e-15 relative error = 1.241655460332961e-12 % Correct digits = 13 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.072999999999992 y1[1] (analytic) = -0.477490470905707 y1[1] (numeric) = -0.477490470905701 absolute error = 5.995204332975845e-15 relative error = 1.255565230779183e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8786369274018968 y2[1] (numeric) = -0.8786369274018998 absolute error = 2.997602166487923e-15 relative error = 3.411650561229817e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.073999999999992 y1[1] (analytic) = -0.4766115953795292 y1[1] (numeric) = -0.476611595379523 absolute error = 6.161737786669619e-15 relative error = 1.292821628009907e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8791139784747937 y2[1] (numeric) = -0.8791139784747967 absolute error = 2.997602166487923e-15 relative error = 3.409799229547652e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.074999999999992 y1[1] (analytic) = -0.4757322432417956 y1[1] (numeric) = -0.4757322432417894 absolute error = 6.272760089132134e-15 relative error = 1.318548443634488e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8795901504337853 y2[1] (numeric) = -0.8795901504337883 absolute error = 2.997602166487923e-15 relative error = 3.407953312130204e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.075999999999992 y1[1] (analytic) = -0.4748524153718585 y1[1] (numeric) = -0.4748524153718521 absolute error = 6.328271240363392e-15 relative error = 1.332681699725104e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8800654428026997 y2[1] (numeric) = -0.8800654428027028 absolute error = 3.108624468950438e-15 relative error = 3.532265122296542e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.076999999999992 y1[1] (analytic) = -0.4739721126495455 y1[1] (numeric) = -0.4739721126495391 absolute error = 6.439293542825908e-15 relative error = 1.358580678266005e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8805398551062448 y2[1] (numeric) = -0.8805398551062479 absolute error = 3.108624468950438e-15 relative error = 3.530362028389227e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.077999999999992 y1[1] (analytic) = -0.4730913359551595 y1[1] (numeric) = -0.4730913359551529 absolute error = 6.550315845288424e-15 relative error = 1.384577426695735e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8810133868700081 y2[1] (numeric) = -0.8810133868700112 absolute error = 3.108624468950438e-15 relative error = 3.528464510618282e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.078999999999992 y1[1] (analytic) = -0.4722100861694769 y1[1] (numeric) = -0.4722100861694702 absolute error = 6.661338147750939e-15 relative error = 1.41067256775201e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8814860376204579 y2[1] (numeric) = -0.8814860376204611 absolute error = 3.219646771412954e-15 relative error = 3.65252157606975e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y1[1] (analytic) = -0.4713283641737474 y1[1] (numeric) = -0.4713283641737406 absolute error = 6.772360450213455e-15 relative error = 1.436866729225092e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8819578068849435 y2[1] (numeric) = -0.8819578068849467 absolute error = 3.219646771412954e-15 relative error = 3.65056780072584e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.080999999999992 y1[1] (analytic) = -0.4704461708496931 y1[1] (numeric) = -0.4704461708496862 absolute error = 6.883382752675971e-15 relative error = 1.463160544009445e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8824286941916958 y2[1] (numeric) = -0.8824286941916991 absolute error = 3.33066907387547e-15 relative error = 3.774434235648197e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.081999999999991 y1[1] (analytic) = -0.4695635070795071 y1[1] (numeric) = -0.4695635070795001 absolute error = 6.994405055138486e-15 relative error = 1.489554650156019e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8828986990698274 y2[1] (numeric) = -0.8828986990698308 absolute error = 3.33066907387547e-15 relative error = 3.772424942277609e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.082999999999991 y1[1] (analytic) = -0.4686803737458531 y1[1] (numeric) = -0.4686803737458461 absolute error = 7.049916206369744e-15 relative error = 1.504205552714831e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8833678210493335 y2[1] (numeric) = -0.883367821049337 absolute error = 3.441691376337985e-15 relative error = 3.896102273965192e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.083999999999991 y1[1] (analytic) = -0.4677967717318646 y1[1] (numeric) = -0.4677967717318574 absolute error = 7.216449660063518e-15 relative error = 1.542646314840304e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8838360596610922 y2[1] (numeric) = -0.8838360596610957 absolute error = 3.441691376337985e-15 relative error = 3.894038197149034e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.084999999999991 y1[1] (analytic) = -0.4669127019211432 y1[1] (numeric) = -0.4669127019211359 absolute error = 7.327471962526033e-15 relative error = 1.569345175741989e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8843034144368649 y2[1] (numeric) = -0.8843034144368684 absolute error = 3.552713678800501e-15 relative error = 4.017527944368406e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.085999999999991 y1[1] (analytic) = -0.4660281651977588 y1[1] (numeric) = -0.4660281651977514 absolute error = 7.382983113757291e-15 relative error = 1.584235388568055e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8847698849092969 y2[1] (numeric) = -0.8847698849093004 absolute error = 3.552713678800501e-15 relative error = 4.015409813778541e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.086999999999991 y1[1] (analytic) = -0.465143162446248 y1[1] (numeric) = -0.4651431624462406 absolute error = 7.438494264988549e-15 relative error = 1.599183835331158e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8852354706119177 y2[1] (numeric) = -0.8852354706119212 absolute error = 3.552713678800501e-15 relative error = 4.013297926646221e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.087999999999991 y1[1] (analytic) = -0.4642576945516136 y1[1] (numeric) = -0.4642576945516061 absolute error = 7.549516567451064e-15 relative error = 1.626147860563192e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8857001710791416 y2[1] (numeric) = -0.8857001710791451 absolute error = 3.552713678800501e-15 relative error = 4.011192268905014e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.088999999999991 y1[1] (analytic) = -0.4633717623993233 y1[1] (numeric) = -0.4633717623993157 absolute error = 7.605027718682322e-15 relative error = 1.641236764040982e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8861639858462682 y2[1] (numeric) = -0.8861639858462718 absolute error = 3.552713678800501e-15 relative error = 4.009092826546921e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y1[1] (analytic) = -0.4624853668753093 y1[1] (numeric) = -0.4624853668753016 absolute error = 7.716050021144838e-15 relative error = 1.668387926147113e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8866269144494828 y2[1] (numeric) = -0.8866269144494865 absolute error = 3.663735981263017e-15 relative error = 4.132218322672816e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09099999999999 y1[1] (analytic) = -0.4615985088659669 y1[1] (numeric) = -0.461598508865959 absolute error = 7.827072323607354e-15 relative error = 1.695645062380407e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8870889564258569 y2[1] (numeric) = -0.8870889564258606 absolute error = 3.663735981263017e-15 relative error = 4.130066048871202e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09199999999999 y1[1] (analytic) = -0.4607111892581541 y1[1] (numeric) = -0.4607111892581461 absolute error = 7.938094626069869e-15 relative error = 1.723008863503389e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8875501113133485 y2[1] (numeric) = -0.8875501113133523 absolute error = 3.774758283725532e-15 relative error = 4.253008630847727e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09299999999999 y1[1] (analytic) = -0.4598234089391904 y1[1] (numeric) = -0.4598234089391824 absolute error = 7.993605777301127e-15 relative error = 1.738407749997401e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8880103786508028 y2[1] (numeric) = -0.8880103786508066 absolute error = 3.774758283725532e-15 relative error = 4.250804241117886e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09399999999999 y1[1] (analytic) = -0.4589351687968561 y1[1] (numeric) = -0.458935168796848 absolute error = 8.104628079763643e-15 relative error = 1.765963611159007e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8884697579779524 y2[1] (numeric) = -0.8884697579779562 absolute error = 3.885780586188048e-15 relative error = 4.373565392964647e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09499999999999 y1[1] (analytic) = -0.4580464697193912 y1[1] (numeric) = -0.458046469719383 absolute error = 8.215650382226158e-15 relative error = 1.793628141541891e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.888928248835418 y2[1] (numeric) = -0.8889282488354219 absolute error = 3.885780586188048e-15 relative error = 4.371309598135503e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09599999999999 y1[1] (analytic) = -0.4571573125954949 y1[1] (numeric) = -0.4571573125954865 absolute error = 8.326672684688674e-15 relative error = 1.821402054670039e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8893858507647089 y2[1] (numeric) = -0.8893858507647128 absolute error = 3.885780586188048e-15 relative error = 4.369060495899489e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09699999999999 y1[1] (analytic) = -0.456267698314324 y1[1] (numeric) = -0.4562676983143155 absolute error = 8.43769498715119e-15 relative error = 1.849286070068988e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8898425633082231 y2[1] (numeric) = -0.8898425633082271 absolute error = 3.996802888650564e-15 relative error = 4.491584302049343e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09799999999999 y1[1] (analytic) = -0.4553776277654928 y1[1] (numeric) = -0.4553776277654842 absolute error = 8.548717289613705e-15 relative error = 1.877280913329379e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8902983860092482 y2[1] (numeric) = -0.8902983860092523 absolute error = 4.107825191113079e-15 relative error = 4.613987013417329e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.09899999999999 y1[1] (analytic) = -0.4544871018390718 y1[1] (numeric) = -0.4544871018390632 absolute error = 8.604228440844963e-15 relative error = 1.893173294913794e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8907533184119615 y2[1] (numeric) = -0.8907533184119656 absolute error = 4.107825191113079e-15 relative error = 4.611630522394826e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.099999999999989 y1[1] (analytic) = -0.4535961214255868 y1[1] (numeric) = -0.4535961214255781 absolute error = 8.715250743307479e-15 relative error = 1.921368003746749e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8912073600614305 y2[1] (numeric) = -0.8912073600614348 absolute error = 4.218847493575595e-15 relative error = 4.733856207476554e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.100999999999989 y1[1] (analytic) = -0.4527046874160182 y1[1] (numeric) = -0.4527046874160094 absolute error = 8.826273045769994e-15 relative error = 1.949675647528471e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8916605105036138 y2[1] (numeric) = -0.8916605105036181 absolute error = 4.218847493575595e-15 relative error = 4.731450416249533e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.101999999999989 y1[1] (analytic) = -0.4518128007017999 y1[1] (numeric) = -0.451812800701791 absolute error = 8.881784197001252e-15 relative error = 1.965810659460112e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8921127692853609 y2[1] (numeric) = -0.8921127692853652 absolute error = 4.329869796038111e-15 relative error = 4.853500527188521e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.102999999999989 y1[1] (analytic) = -0.4509204621748186 y1[1] (numeric) = -0.4509204621748096 absolute error = 8.992806499463768e-15 relative error = 1.994322115277466e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8925641359544131 y2[1] (numeric) = -0.8925641359544174 absolute error = 4.329869796038111e-15 relative error = 4.851046128363883e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.103999999999989 y1[1] (analytic) = -0.4500276727274127 y1[1] (numeric) = -0.4500276727274035 absolute error = 9.159339953157541e-15 relative error = 2.035283718809324e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8930146100594036 y2[1] (numeric) = -0.8930146100594081 absolute error = 4.440892098500626e-15 relative error = 4.972922109533255e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.104999999999989 y1[1] (analytic) = -0.4491344332523715 y1[1] (numeric) = -0.4491344332523622 absolute error = 9.270362255620057e-15 relative error = 2.064050664850936e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8934641911498585 y2[1] (numeric) = -0.8934641911498631 absolute error = 4.551914400963142e-15 relative error = 5.094680286072775e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.105999999999989 y1[1] (analytic) = -0.4482407446429345 y1[1] (numeric) = -0.4482407446429252 absolute error = 9.325873406851315e-15 relative error = 2.080550132558842e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8939128787761969 y2[1] (numeric) = -0.8939128787762014 absolute error = 4.551914400963142e-15 relative error = 5.092123079370887e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.106999999999989 y1[1] (analytic) = -0.4473466077927902 y1[1] (numeric) = -0.4473466077927808 absolute error = 9.436895709313831e-15 relative error = 2.109526605303996e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8943606724897308 y2[1] (numeric) = -0.8943606724897354 absolute error = 4.551914400963142e-15 relative error = 5.089573525512335e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.107999999999989 y1[1] (analytic) = -0.4464520235960755 y1[1] (numeric) = -0.4464520235960659 absolute error = 9.603429163007604e-15 relative error = 2.151055131445936e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8948075718426668 y2[1] (numeric) = -0.8948075718426715 absolute error = 4.662936703425657e-15 relative error = 5.211105549568972e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.108999999999988 y1[1] (analytic) = -0.4455569929473743 y1[1] (numeric) = -0.4455569929473646 absolute error = 9.658940314238862e-15 relative error = 2.16783497220965e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8952535763881055 y2[1] (numeric) = -0.8952535763881102 absolute error = 4.662936703425657e-15 relative error = 5.208509439569339e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.109999999999988 y1[1] (analytic) = -0.4446615167417173 y1[1] (numeric) = -0.4446615167417075 absolute error = 9.769962616701378e-15 relative error = 2.19716846384444e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8956986856800424 y2[1] (numeric) = -0.8956986856800472 absolute error = 4.773959005888173e-15 relative error = 5.329871621128521e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.110999999999988 y1[1] (analytic) = -0.4437655958745806 y1[1] (numeric) = -0.4437655958745707 absolute error = 9.936496070395151e-15 relative error = 2.23913168636071e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8961428992733683 y2[1] (numeric) = -0.8961428992733731 absolute error = 4.773959005888173e-15 relative error = 5.3272296301841e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.111999999999988 y1[1] (analytic) = -0.442869231241885 y1[1] (numeric) = -0.442869231241875 absolute error = 9.992007221626409e-15 relative error = 2.25619810922674e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8965862167238696 y2[1] (numeric) = -0.8965862167238744 absolute error = 4.773959005888173e-15 relative error = 5.324595579142676e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.112999999999988 y1[1] (analytic) = -0.4419724237399951 y1[1] (numeric) = -0.441972423739985 absolute error = 1.010302952408892e-14 relative error = 2.285895902417741e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8970286375882289 y2[1] (numeric) = -0.8970286375882337 absolute error = 4.773959005888173e-15 relative error = 5.321969450968193e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.113999999999988 y1[1] (analytic) = -0.4410751742657183 y1[1] (numeric) = -0.4410751742657081 absolute error = 1.021405182655144e-14 relative error = 2.315716780831142e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8974701614240254 y2[1] (numeric) = -0.8974701614240302 absolute error = 4.884981308350689e-15 relative error = 5.443057071223e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.114999999999988 y1[1] (analytic) = -0.440177483716304 y1[1] (numeric) = -0.4401774837162937 absolute error = 1.032507412901396e-14 relative error = 2.345661582196809e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8979107877897352 y2[1] (numeric) = -0.8979107877897401 absolute error = 4.884981308350689e-15 relative error = 5.440386032531564e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.115999999999988 y1[1] (analytic) = -0.4392793529894427 y1[1] (numeric) = -0.4392793529894322 absolute error = 1.043609643147647e-14 relative error = 2.375731151590748e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8983505162447321 y2[1] (numeric) = -0.8983505162447369 absolute error = 4.884981308350689e-15 relative error = 5.437723049095353e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.116999999999988 y1[1] (analytic) = -0.4383807829832649 y1[1] (numeric) = -0.4383807829832544 absolute error = 1.049160758270773e-14 relative error = 2.393263571297614e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8987893463492875 y2[1] (numeric) = -0.8987893463492924 absolute error = 4.884981308350689e-15 relative error = 5.43506810376932e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.117999999999987 y1[1] (analytic) = -0.4374817745963407 y1[1] (numeric) = -0.4374817745963301 absolute error = 1.060262988517024e-14 relative error = 2.423559220256242e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8992272776645716 y2[1] (numeric) = -0.8992272776645764 absolute error = 4.884981308350689e-15 relative error = 5.432421179479474e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.118999999999987 y1[1] (analytic) = -0.4365823287276783 y1[1] (numeric) = -0.4365823287276677 absolute error = 1.06581410364015e-14 relative error = 2.441267164308339e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.8996643097526529 y2[1] (numeric) = -0.8996643097526578 absolute error = 4.884981308350689e-15 relative error = 5.429782259222587e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y1[1] (analytic) = -0.4356824462767236 y1[1] (numeric) = -0.4356824462767129 absolute error = 1.076916333886402e-14 relative error = 2.471791882114063e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9001004421764994 y2[1] (numeric) = -0.9001004421765043 absolute error = 4.884981308350689e-15 relative error = 5.427151326065897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.120999999999987 y1[1] (analytic) = -0.434782128143359 y1[1] (numeric) = -0.4347821281433481 absolute error = 1.093569679255779e-14 relative error = 2.515213042278501e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9005356744999787 y2[1] (numeric) = -0.9005356744999837 absolute error = 4.996003610813204e-15 relative error = 5.547813098672886e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.121999999999987 y1[1] (analytic) = -0.4338813752279024 y1[1] (numeric) = -0.4338813752278914 absolute error = 1.099120794378905e-14 relative error = 2.533228797390936e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9009700062878587 y2[1] (numeric) = -0.9009700062878636 absolute error = 4.884981308350689e-15 relative error = 5.421913353672668e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.122999999999987 y1[1] (analytic) = -0.4329801884311068 y1[1] (numeric) = -0.4329801884310957 absolute error = 1.110223024625157e-14 relative error = 2.564142781331457e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9014034371058074 y2[1] (numeric) = -0.9014034371058124 absolute error = 4.996003610813204e-15 relative error = 5.542472332759444e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.123999999999987 y1[1] (analytic) = -0.4320785686541588 y1[1] (numeric) = -0.4320785686541476 absolute error = 1.121325254871408e-14 relative error = 2.595188320411538e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9018359665203941 y2[1] (numeric) = -0.9018359665203991 absolute error = 4.996003610813204e-15 relative error = 5.539814108423258e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.124999999999987 y1[1] (analytic) = -0.4311765167986782 y1[1] (numeric) = -0.4311765167986669 absolute error = 1.13242748511766e-14 relative error = 2.626366327938041e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9022675940990894 y2[1] (numeric) = -0.9022675940990945 absolute error = 5.10702591327572e-15 relative error = 5.660212055354892e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.125999999999987 y1[1] (analytic) = -0.4302740337667167 y1[1] (numeric) = -0.4302740337667053 absolute error = 1.143529715363911e-14 relative error = 2.657677725409531e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9026983194102658 y2[1] (numeric) = -0.902698319410271 absolute error = 5.218048215738236e-15 relative error = 5.78050064294702e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.126999999999986 y1[1] (analytic) = -0.4293711204607573 y1[1] (numeric) = -0.4293711204607457 absolute error = 1.160183060733289e-14 relative error = 2.702051920698109e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9031281420231981 y2[1] (numeric) = -0.9031281420232032 absolute error = 5.10702591327572e-15 relative error = 5.654818708046126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.127999999999986 y1[1] (analytic) = -0.4284677777837132 y1[1] (numeric) = -0.4284677777837015 absolute error = 1.165734175856414e-14 relative error = 2.720704417695715e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9035570615080636 y2[1] (numeric) = -0.9035570615080688 absolute error = 5.218048215738236e-15 relative error = 5.775006845753779e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.128999999999986 y1[1] (analytic) = -0.427564006638927 y1[1] (numeric) = -0.4275640066389153 absolute error = 1.176836406102666e-14 relative error = 2.752421597303655e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9039850774359428 y2[1] (numeric) = -0.9039850774359481 absolute error = 5.329070518200751e-15 relative error = 5.895086823021561e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y1[1] (analytic) = -0.4266598079301698 y1[1] (numeric) = -0.426659807930158 absolute error = 1.187938636348917e-14 relative error = 2.784275936634144e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.90441218937882 y2[1] (numeric) = -0.9044121893788253 absolute error = 5.329070518200751e-15 relative error = 5.892302846847887e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.130999999999986 y1[1] (analytic) = -0.4257551825616403 y1[1] (numeric) = -0.4257551825616283 absolute error = 1.199040866595169e-14 relative error = 2.816268399555121e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9048383969095831 y2[1] (numeric) = -0.9048383969095884 absolute error = 5.329070518200751e-15 relative error = 5.889527385665602e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.131999999999986 y1[1] (analytic) = -0.4248501314379637 y1[1] (numeric) = -0.4248501314379516 absolute error = 1.210143096841421e-14 relative error = 2.848399958699612e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9052636996020248 y2[1] (numeric) = -0.9052636996020301 absolute error = 5.329070518200751e-15 relative error = 5.886760421900863e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.132999999999986 y1[1] (analytic) = -0.423944655464191 y1[1] (numeric) = -0.4239446554641788 absolute error = 1.221245327087672e-14 relative error = 2.880671595565913e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9056880970308423 y2[1] (numeric) = -0.9056880970308476 absolute error = 5.329070518200751e-15 relative error = 5.884001938052715e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.133999999999986 y1[1] (analytic) = -0.4230387555457982 y1[1] (numeric) = -0.4230387555457859 absolute error = 1.232347557333924e-14 relative error = 2.913084300619142e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9061115887716382 y2[1] (numeric) = -0.9061115887716436 absolute error = 5.329070518200751e-15 relative error = 5.881251916692796e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.134999999999986 y1[1] (analytic) = -0.4221324325886851 y1[1] (numeric) = -0.4221324325886727 absolute error = 1.23789867245705e-14 relative error = 2.932488898959408e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9065341744009209 y2[1] (numeric) = -0.9065341744009262 absolute error = 5.329070518200751e-15 relative error = 5.87851034046504e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.135999999999985 y1[1] (analytic) = -0.4212256874991746 y1[1] (numeric) = -0.4212256874991621 absolute error = 1.249000902703301e-14 relative error = 2.965158440641749e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9069558534961046 y2[1] (numeric) = -0.9069558534961101 absolute error = 5.440092820663267e-15 relative error = 5.998189216920504e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.136999999999985 y1[1] (analytic) = -0.4203185211840117 y1[1] (numeric) = -0.4203185211839991 absolute error = 1.260103132949553e-14 relative error = 2.997971941374172e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9073766256355106 y2[1] (numeric) = -0.907376625635516 absolute error = 5.440092820663267e-15 relative error = 5.995407713806956e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.137999999999985 y1[1] (analytic) = -0.4194109345503627 y1[1] (numeric) = -0.4194109345503499 absolute error = 1.271205363195804e-14 relative error = 3.030930427597515e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9077964903983664 y2[1] (numeric) = -0.907796490398372 absolute error = 5.551115123125783e-15 relative error = 6.114933448013e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.138999999999985 y1[1] (analytic) = -0.418502928505814 y1[1] (numeric) = -0.4185029285058012 absolute error = 1.282307593442056e-14 relative error = 3.064034935239985e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9082154473648075 y2[1] (numeric) = -0.9082154473648131 absolute error = 5.551115123125783e-15 relative error = 6.11211264819639e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y1[1] (analytic) = -0.4175945039583717 y1[1] (numeric) = -0.4175945039583588 absolute error = 1.293409823688307e-14 relative error = 3.097286509827347e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.908633496115877 y2[1] (numeric) = -0.9086334961158825 absolute error = 5.551115123125783e-15 relative error = 6.109300556115373e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.140999999999985 y1[1] (analytic) = -0.4166856618164603 y1[1] (numeric) = -0.4166856618164472 absolute error = 1.304512053934559e-14 relative error = 3.130686206594659e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9090506362335261 y2[1] (numeric) = -0.9090506362335316 absolute error = 5.440092820663267e-15 relative error = 5.984367211053533e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.141999999999985 y1[1] (analytic) = -0.4157764029889217 y1[1] (numeric) = -0.4157764029889086 absolute error = 1.315614284180811e-14 relative error = 3.164235090599562e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9094668673006147 y2[1] (numeric) = -0.9094668673006201 absolute error = 5.440092820663267e-15 relative error = 5.981628376204608e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.142999999999985 y1[1] (analytic) = -0.4148667283850148 y1[1] (numeric) = -0.4148667283850015 absolute error = 1.326716514427062e-14 relative error = 3.197934236837161e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9098821889009117 y2[1] (numeric) = -0.9098821889009172 absolute error = 5.551115123125783e-15 relative error = 6.10091635031479e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.143999999999985 y1[1] (analytic) = -0.4139566389144141 y1[1] (numeric) = -0.4139566389144008 absolute error = 1.337818744673314e-14 relative error = 3.231784730356526e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9102966006190957 y2[1] (numeric) = -0.9102966006191012 absolute error = 5.551115123125783e-15 relative error = 6.098138913569985e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.144999999999984 y1[1] (analytic) = -0.413046135487209 y1[1] (numeric) = -0.4130461354871955 absolute error = 1.348920974919565e-14 relative error = 3.265787666378827e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9107101020407549 y2[1] (numeric) = -0.9107101020407605 absolute error = 5.662137425588298e-15 relative error = 6.217277499064037e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.145999999999984 y1[1] (analytic) = -0.4121352190139028 y1[1] (numeric) = -0.4121352190138893 absolute error = 1.354472090042691e-14 relative error = 3.286474990619522e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.911122692752388 y2[1] (numeric) = -0.9111226927523937 absolute error = 5.662137425588298e-15 relative error = 6.214462081373133e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.146999999999984 y1[1] (analytic) = -0.411223890405412 y1[1] (numeric) = -0.4112238904053983 absolute error = 1.371125435412068e-14 relative error = 3.334255298397963e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9115343723414042 y2[1] (numeric) = -0.9115343723414099 absolute error = 5.662137425588298e-15 relative error = 6.211655421225973e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.147999999999984 y1[1] (analytic) = -0.410312150573065 y1[1] (numeric) = -0.4103121505730512 absolute error = 1.38222766565832e-14 relative error = 3.368722236784416e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9119451403961241 y2[1] (numeric) = -0.9119451403961297 absolute error = 5.662137425588298e-15 relative error = 6.208857501152779e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.148999999999984 y1[1] (analytic) = -0.4094000004286016 y1[1] (numeric) = -0.4094000004285877 absolute error = 1.393329895904571e-14 relative error = 3.40334610270125e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9123549965057796 y2[1] (numeric) = -0.9123549965057852 absolute error = 5.662137425588298e-15 relative error = 6.206068303756399e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y1[1] (analytic) = -0.408487440884172 y1[1] (numeric) = -0.4084874408841579 absolute error = 1.404432126150823e-14 relative error = 3.438128044061591e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9127639402605146 y2[1] (numeric) = -0.9127639402605202 absolute error = 5.662137425588298e-15 relative error = 6.203287811712031e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.150999999999984 y1[1] (analytic) = -0.4075744728523354 y1[1] (numeric) = -0.4075744728523213 absolute error = 1.409983241273949e-14 relative error = 3.459449340402599e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9131719712513853 y2[1] (numeric) = -0.913171971251391 absolute error = 5.773159728050814e-15 relative error = 6.322094753017263e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.151999999999984 y1[1] (analytic) = -0.40666109724606 y1[1] (numeric) = -0.4066610972460458 absolute error = 1.4210854715202e-14 relative error = 3.494520329443607e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9135790890703609 y2[1] (numeric) = -0.9135790890703667 absolute error = 5.773159728050814e-15 relative error = 6.319277440911505e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.152999999999984 y1[1] (analytic) = -0.4057473149787213 y1[1] (numeric) = -0.405747314978707 absolute error = 1.432187701766452e-14 relative error = 3.529752752255577e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9139852933103236 y2[1] (numeric) = -0.9139852933103294 absolute error = 5.773159728050814e-15 relative error = 6.316468952297097e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.153999999999983 y1[1] (analytic) = -0.4048331269641013 y1[1] (numeric) = -0.4048331269640869 absolute error = 1.443289932012704e-14 relative error = 3.565147800122314e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9143905835650692 y2[1] (numeric) = -0.914390583565075 absolute error = 5.773159728050814e-15 relative error = 6.313669269801692e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.154999999999983 y1[1] (analytic) = -0.4039185341163882 y1[1] (numeric) = -0.4039185341163736 absolute error = 1.454392162258955e-14 relative error = 3.600706675767137e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9147949594293074 y2[1] (numeric) = -0.9147949594293132 absolute error = 5.773159728050814e-15 relative error = 6.310878376125274e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.155999999999983 y1[1] (analytic) = -0.4030035373501746 y1[1] (numeric) = -0.4030035373501599 absolute error = 1.465494392505207e-14 relative error = 3.636430593490848e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9151984204986624 y2[1] (numeric) = -0.9151984204986683 absolute error = 5.88418203051333e-15 relative error = 6.429405797386786e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.156999999999983 y1[1] (analytic) = -0.4020881375804572 y1[1] (numeric) = -0.4020881375804424 absolute error = 1.476596622751458e-14 relative error = 3.672320779311709e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9156009663696731 y2[1] (numeric) = -0.915600966369679 absolute error = 5.88418203051333e-15 relative error = 6.426579095742889e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.157999999999983 y1[1] (analytic) = -0.4011723357226357 y1[1] (numeric) = -0.4011723357226208 absolute error = 1.48769885299771e-14 relative error = 3.708378471107443e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9160025966397939 y2[1] (numeric) = -0.9160025966397998 absolute error = 5.88418203051333e-15 relative error = 6.423761299475015e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.158999999999983 y1[1] (analytic) = -0.400256132692512 y1[1] (numeric) = -0.400256132692497 absolute error = 1.498801083243961e-14 relative error = 3.744604918759314e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9164033109073942 y2[1] (numeric) = -0.9164033109074002 absolute error = 5.995204332975845e-15 relative error = 6.54210243636023e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y1[1] (analytic) = -0.3993395294062889 y1[1] (numeric) = -0.3993395294062738 absolute error = 1.509903313490213e-14 relative error = 3.781001384298307e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9168031087717601 y2[1] (numeric) = -0.9168031087717661 absolute error = 5.995204332975845e-15 relative error = 6.53924956799897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.160999999999983 y1[1] (analytic) = -0.3984225267805697 y1[1] (numeric) = -0.3984225267805545 absolute error = 1.515454428613339e-14 relative error = 3.803636407958358e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9172019898330935 y2[1] (numeric) = -0.9172019898330995 absolute error = 5.995204332975845e-15 relative error = 6.536405720256684e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.161999999999983 y1[1] (analytic) = -0.3975051257323569 y1[1] (numeric) = -0.3975051257323416 absolute error = 1.532107773982716e-14 relative error = 3.854309478802282e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9175999536925136 y2[1] (numeric) = -0.9175999536925197 absolute error = 6.106226635438361e-15 relative error = 6.654562928939018e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.162999999999982 y1[1] (analytic) = -0.3965873271790515 y1[1] (numeric) = -0.3965873271790361 absolute error = 1.537658889105842e-14 relative error = 3.87722648639153e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9179969999520564 y2[1] (numeric) = -0.9179969999520625 absolute error = 6.106226635438361e-15 relative error = 6.651684739446062e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.163999999999982 y1[1] (analytic) = -0.395669132038452 y1[1] (numeric) = -0.3956691320384365 absolute error = 1.554312234475219e-14 relative error = 3.928313099552501e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9183931282146759 y2[1] (numeric) = -0.918393128214682 absolute error = 6.106226635438361e-15 relative error = 6.648815684530057e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.164999999999982 y1[1] (analytic) = -0.3947505412287534 y1[1] (numeric) = -0.3947505412287378 absolute error = 1.559863349598345e-14 relative error = 3.951516683784411e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9187883380842435 y2[1] (numeric) = -0.9187883380842498 absolute error = 6.217248937900877e-15 relative error = 6.766791305671555e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.165999999999982 y1[1] (analytic) = -0.3938315556685464 y1[1] (numeric) = -0.3938315556685307 absolute error = 1.570965579844597e-14 relative error = 3.988927644911066e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9191826291655498 y2[1] (numeric) = -0.9191826291655559 absolute error = 6.106226635438361e-15 relative error = 6.643104908305003e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.166999999999982 y1[1] (analytic) = -0.3929121762768167 y1[1] (numeric) = -0.3929121762768009 absolute error = 1.582067810090848e-14 relative error = 4.026517643414137e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9195760010643034 y2[1] (numeric) = -0.9195760010643096 absolute error = 6.217248937900877e-15 relative error = 6.760995209428179e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.167999999999982 y1[1] (analytic) = -0.3919924039729434 y1[1] (numeric) = -0.3919924039729275 absolute error = 1.5931700403371e-14 relative error = 4.06428804280367e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9199684533871326 y2[1] (numeric) = -0.9199684533871388 absolute error = 6.217248937900877e-15 relative error = 6.758111014579096e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.168999999999982 y1[1] (analytic) = -0.3910722396766987 y1[1] (numeric) = -0.3910722396766827 absolute error = 1.604272270583351e-14 relative error = 4.102240220143497e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9203599857415851 y2[1] (numeric) = -0.9203599857415914 absolute error = 6.328271240363392e-15 relative error = 6.875865246645152e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y1[1] (analytic) = -0.390151684308247 y1[1] (numeric) = -0.3901516843082309 absolute error = 1.615374500829603e-14 relative error = 4.140375566220404e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9207505977361286 y2[1] (numeric) = -0.9207505977361349 absolute error = 6.328271240363392e-15 relative error = 6.872948283631706e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.170999999999982 y1[1] (analytic) = -0.3892307387881436 y1[1] (numeric) = -0.3892307387881273 absolute error = 1.63202784619898e-14 relative error = 4.192957245052747e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9211402889801509 y2[1] (numeric) = -0.9211402889801573 absolute error = 6.439293542825908e-15 relative error = 6.990567690785985e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.171999999999982 y1[1] (analytic) = -0.3883094040373337 y1[1] (numeric) = -0.3883094040373173 absolute error = 1.643130076445232e-14 relative error = 4.231496995337394e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9215290590839611 y2[1] (numeric) = -0.9215290590839675 absolute error = 6.439293542825908e-15 relative error = 6.987618544798618e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.172999999999981 y1[1] (analytic) = -0.3873876809771521 y1[1] (numeric) = -0.3873876809771357 absolute error = 1.648681191568357e-14 relative error = 4.25589473420967e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9219169076587891 y2[1] (numeric) = -0.9219169076587955 absolute error = 6.439293542825908e-15 relative error = 6.984678867836923e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.173999999999981 y1[1] (analytic) = -0.386465570529322 y1[1] (numeric) = -0.3864655705293053 absolute error = 1.665334536937735e-14 relative error = 4.309140746113068e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9223038343167861 y2[1] (numeric) = -0.9223038343167926 absolute error = 6.550315845288424e-15 relative error = 7.102123618667045e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.174999999999981 y1[1] (analytic) = -0.3855430736159534 y1[1] (numeric) = -0.3855430736159366 absolute error = 1.676436767183986e-14 relative error = 4.348247658714045e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9226898386710257 y2[1] (numeric) = -0.9226898386710323 absolute error = 6.550315845288424e-15 relative error = 7.099152467879147e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.175999999999981 y1[1] (analytic) = -0.3846201911595434 y1[1] (numeric) = -0.3846201911595265 absolute error = 1.687538997430238e-14 relative error = 4.387546562084241e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9230749203355036 y2[1] (numeric) = -0.9230749203355101 absolute error = 6.439293542825908e-15 relative error = 6.975916473264664e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.176999999999981 y1[1] (analytic) = -0.3836969240829742 y1[1] (numeric) = -0.3836969240829572 absolute error = 1.69864122767649e-14 relative error = 4.427038949390064e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.923459078925138 y2[1] (numeric) = -0.9234590789251446 absolute error = 6.550315845288424e-15 relative error = 7.093238882780465e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.177999999999981 y1[1] (analytic) = -0.3827732733095129 y1[1] (numeric) = -0.3827732733094959 absolute error = 1.704192342799615e-14 relative error = 4.452223970772365e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9238423140557706 y2[1] (numeric) = -0.9238423140557771 absolute error = 6.550315845288424e-15 relative error = 7.090296412741486e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.178999999999981 y1[1] (analytic) = -0.3818492397628103 y1[1] (numeric) = -0.3818492397627931 absolute error = 1.720845688168993e-14 relative error = 4.50661022459522e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9242246253441659 y2[1] (numeric) = -0.9242246253441725 absolute error = 6.550315845288424e-15 relative error = 7.087363467348855e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y1[1] (analytic) = -0.3809248243668997 y1[1] (numeric) = -0.3809248243668824 absolute error = 1.726396803292118e-14 relative error = 4.532119444201109e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.924606012408013 y2[1] (numeric) = -0.9246060124080195 absolute error = 6.550315845288424e-15 relative error = 7.084440028925402e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.180999999999981 y1[1] (analytic) = -0.3800000280461965 y1[1] (numeric) = -0.3800000280461791 absolute error = 1.743050148661496e-14 relative error = 4.586973736879814e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9249864748659247 y2[1] (numeric) = -0.9249864748659313 absolute error = 6.661338147750939e-15 relative error = 7.201551945628707e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18199999999998 y1[1] (analytic) = -0.3790748517254969 y1[1] (numeric) = -0.3790748517254793 absolute error = 1.754152378907747e-14 relative error = 4.627456479698101e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9253660123374386 y2[1] (numeric) = -0.9253660123374453 absolute error = 6.661338147750939e-15 relative error = 7.198598239981451e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18299999999998 y1[1] (analytic) = -0.3781492963299771 y1[1] (numeric) = -0.3781492963299595 absolute error = 1.765254609153999e-14 relative error = 4.668141991235173e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9257446244430173 y2[1] (numeric) = -0.9257446244430241 absolute error = 6.772360450213455e-15 relative error = 7.31558171810947e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18399999999998 y1[1] (analytic) = -0.3772233627851925 y1[1] (numeric) = -0.3772233627851748 absolute error = 1.770805724277125e-14 relative error = 4.694316150522996e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9261223108040487 y2[1] (numeric) = -0.9261223108040555 absolute error = 6.772360450213455e-15 relative error = 7.312598315803201e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18499999999998 y1[1] (analytic) = -0.3762970520170766 y1[1] (numeric) = -0.3762970520170588 absolute error = 1.781907954523376e-14 relative error = 4.735375802100389e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9264990710428465 y2[1] (numeric) = -0.9264990710428533 absolute error = 6.883382752675971e-15 relative error = 7.429454564836411e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18599999999998 y1[1] (analytic) = -0.3753703649519401 y1[1] (numeric) = -0.3753703649519222 absolute error = 1.793010184769628e-14 relative error = 4.77664288974755e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9268749047826504 y2[1] (numeric) = -0.9268749047826573 absolute error = 6.883382752675971e-15 relative error = 7.426442033501926e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18699999999998 y1[1] (analytic) = -0.3744433025164698 y1[1] (numeric) = -0.3744433025164518 absolute error = 1.804112415015879e-14 relative error = 4.818119066067487e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9272498116476269 y2[1] (numeric) = -0.9272498116476338 absolute error = 6.883382752675971e-15 relative error = 7.423439364678772e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18799999999998 y1[1] (analytic) = -0.3735158656377283 y1[1] (numeric) = -0.3735158656377102 absolute error = 1.809663530139005e-14 relative error = 4.844944208860439e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9276237912628689 y2[1] (numeric) = -0.9276237912628759 absolute error = 6.994405055138486e-15 relative error = 7.540131162026676e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18899999999998 y1[1] (analytic) = -0.3725880552431522 y1[1] (numeric) = -0.372588055243134 absolute error = 1.820765760385257e-14 relative error = 4.886806581056441e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9279968432543969 y2[1] (numeric) = -0.9279968432544039 absolute error = 6.994405055138486e-15 relative error = 7.537100051558118e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y1[1] (analytic) = -0.371659872260552 y1[1] (numeric) = -0.3716598722605336 absolute error = 1.837419105754634e-14 relative error = 4.94381891318768e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9283689672491591 y2[1] (numeric) = -0.9283689672491661 absolute error = 6.994405055138486e-15 relative error = 7.53407890815603e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.190999999999979 y1[1] (analytic) = -0.3707313176181104 y1[1] (numeric) = -0.3707313176180919 absolute error = 1.848521336000886e-14 relative error = 4.986148318618833e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9287401628750314 y2[1] (numeric) = -0.9287401628750384 absolute error = 6.994405055138486e-15 relative error = 7.531067713801059e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.191999999999979 y1[1] (analytic) = -0.3698023922443821 y1[1] (numeric) = -0.3698023922443635 absolute error = 1.859623566247137e-14 relative error = 5.02869533904533e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9291104297608181 y2[1] (numeric) = -0.9291104297608251 absolute error = 6.994405055138486e-15 relative error = 7.528066450549978e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.192999999999979 y1[1] (analytic) = -0.3688730970682924 y1[1] (numeric) = -0.3688730970682737 absolute error = 1.870725796493389e-14 relative error = 5.07146173402569e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9294797675362526 y2[1] (numeric) = -0.9294797675362596 absolute error = 6.994405055138486e-15 relative error = 7.5250751005354e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.193999999999979 y1[1] (analytic) = -0.3679434330191364 y1[1] (numeric) = -0.3679434330191176 absolute error = 1.88182802673964e-14 relative error = 5.114449281777963e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.929848175831997 y2[1] (numeric) = -0.929848175832004 absolute error = 6.994405055138486e-15 relative error = 7.522093645965512e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.194999999999979 y1[1] (analytic) = -0.367013401026578 y1[1] (numeric) = -0.3670134010265591 absolute error = 1.892930256985892e-14 relative error = 5.157659779428086e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9302156542796429 y2[1] (numeric) = -0.93021565427965 absolute error = 7.105427357601002e-15 relative error = 7.638473213078133e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.195999999999979 y1[1] (analytic) = -0.3660830020206492 y1[1] (numeric) = -0.3660830020206302 absolute error = 1.904032487232143e-14 relative error = 5.201095043262197e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9305822025117122 y2[1] (numeric) = -0.9305822025117193 absolute error = 7.105427357601002e-15 relative error = 7.635464484945997e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.196999999999979 y1[1] (analytic) = -0.3651522369317489 y1[1] (numeric) = -0.3651522369317297 absolute error = 1.915134717478395e-14 relative error = 5.244756908983021e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9309478201616566 y2[1] (numeric) = -0.9309478201616637 absolute error = 7.105427357601002e-15 relative error = 7.63246575556422e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.197999999999979 y1[1] (analytic) = -0.364221106690642 y1[1] (numeric) = -0.3642211066906227 absolute error = 1.926236947724647e-14 relative error = 5.288647231970365e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9313125068638582 y2[1] (numeric) = -0.9313125068638654 absolute error = 7.105427357601002e-15 relative error = 7.629477007162852e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.198999999999979 y1[1] (analytic) = -0.3632896122284588 y1[1] (numeric) = -0.3632896122284395 absolute error = 1.937339177970898e-14 relative error = 5.332767887545819e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9316762622536306 y2[1] (numeric) = -0.9316762622536379 absolute error = 7.216449660063518e-15 relative error = 7.745662256766804e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.199999999999978 y1[1] (analytic) = -0.3623577544766937 y1[1] (numeric) = -0.3623577544766742 absolute error = 1.94844140821715e-14 relative error = 5.377120771241755e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9320390859672185 y2[1] (numeric) = -0.9320390859672257 absolute error = 7.216449660063518e-15 relative error = 7.742647029201233e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.200999999999978 y1[1] (analytic) = -0.3614255343672043 y1[1] (numeric) = -0.3614255343671847 absolute error = 1.953992523340276e-14 relative error = 5.406348853468226e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9324009776417981 y2[1] (numeric) = -0.9324009776418053 absolute error = 7.216449660063518e-15 relative error = 7.739641884884287e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.201999999999978 y1[1] (analytic) = -0.3604929528322106 y1[1] (numeric) = -0.360492952832191 absolute error = 1.965094753586527e-14 relative error = 5.451132229209399e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9327619369154777 y2[1] (numeric) = -0.9327619369154849 absolute error = 7.216449660063518e-15 relative error = 7.736646806072916e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.202999999999978 y1[1] (analytic) = -0.3595600108042942 y1[1] (numeric) = -0.3595600108042744 absolute error = 1.976196983832779e-14 relative error = 5.496153422101236e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9331219634272981 y2[1] (numeric) = -0.9331219634273054 absolute error = 7.216449660063518e-15 relative error = 7.73366177509953e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.203999999999978 y1[1] (analytic) = -0.3586267092163969 y1[1] (numeric) = -0.358626709216377 absolute error = 1.98729921407903e-14 relative error = 5.541414409488071e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9334810568172328 y2[1] (numeric) = -0.9334810568172401 absolute error = 7.327471962526033e-15 relative error = 7.849620417054362e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.204999999999978 y1[1] (analytic) = -0.3576930490018203 y1[1] (numeric) = -0.3576930490018003 absolute error = 1.998401444325282e-14 relative error = 5.586917190317311e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9338392167261886 y2[1] (numeric) = -0.9338392167261959 absolute error = 7.216449660063518e-15 relative error = 7.727721786371985e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.205999999999978 y1[1] (analytic) = -0.3567590310942244 y1[1] (numeric) = -0.3567590310942043 absolute error = 2.009503674571533e-14 relative error = 5.632663785435607e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9341964427960054 y2[1] (numeric) = -0.9341964427960127 absolute error = 7.216449660063518e-15 relative error = 7.724766793657474e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.206999999999978 y1[1] (analytic) = -0.3558246564276272 y1[1] (numeric) = -0.355824656427607 absolute error = 2.020605904817785e-14 relative error = 5.678656237889925e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9345527346694573 y2[1] (numeric) = -0.9345527346694645 absolute error = 7.216449660063518e-15 relative error = 7.721821778859713e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.207999999999978 y1[1] (analytic) = -0.3548899259364033 y1[1] (numeric) = -0.354889925936383 absolute error = 2.031708135064036e-14 relative error = 5.724896613233595e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9349080919902524 y2[1] (numeric) = -0.9349080919902596 absolute error = 7.216449660063518e-15 relative error = 7.718886724684332e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.208999999999977 y1[1] (analytic) = -0.3539548405552829 y1[1] (numeric) = -0.3539548405552626 absolute error = 2.037259250187162e-14 relative error = 5.755703882990039e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9352625144030334 y2[1] (numeric) = -0.9352625144030406 absolute error = 7.216449660063518e-15 relative error = 7.715961613910816e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.209999999999977 y1[1] (analytic) = -0.3530194012193515 y1[1] (numeric) = -0.3530194012193311 absolute error = 2.048361480433414e-14 relative error = 5.802404834856788e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9356160015533779 y2[1] (numeric) = -0.9356160015533852 absolute error = 7.327471962526033e-15 relative error = 7.831708682152112e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.210999999999977 y1[1] (analytic) = -0.3520836088640484 y1[1] (numeric) = -0.3520836088640278 absolute error = 2.059463710679665e-14 relative error = 5.849359807814556e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9359685530877989 y2[1] (numeric) = -0.9359685530878061 absolute error = 7.216449660063518e-15 relative error = 7.710141154054965e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.211999999999977 y1[1] (analytic) = -0.3511474644251656 y1[1] (numeric) = -0.351147464425145 absolute error = 2.065014825802791e-14 relative error = 5.880762457400214e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9363201686537448 y2[1] (numeric) = -0.936320168653752 absolute error = 7.216449660063518e-15 relative error = 7.707245770898471e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.212999999999977 y1[1] (analytic) = -0.3502109688388478 y1[1] (numeric) = -0.350210968838827 absolute error = 2.076117056049043e-14 relative error = 5.928189693579768e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9366708478996 y2[1] (numeric) = -0.9366708478996073 absolute error = 7.327471962526033e-15 relative error = 7.822888882425698e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.213999999999977 y1[1] (analytic) = -0.3492741230415903 y1[1] (numeric) = -0.3492741230415694 absolute error = 2.087219286295294e-14 relative error = 5.975877251137657e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9370205904746853 y2[1] (numeric) = -0.9370205904746928 absolute error = 7.438494264988549e-15 relative error = 7.938453370827509e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.214999999999977 y1[1] (analytic) = -0.3483369279702388 y1[1] (numeric) = -0.3483369279702178 absolute error = 2.098321516541546e-14 relative error = 6.023827358094007e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9373693960292584 y2[1] (numeric) = -0.9373693960292658 absolute error = 7.438494264988549e-15 relative error = 7.935499384232477e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.215999999999977 y1[1] (analytic) = -0.3473993845619884 y1[1] (numeric) = -0.3473993845619673 absolute error = 2.114974861910923e-14 relative error = 6.08802132616771e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9377172642145135 y2[1] (numeric) = -0.937717264214521 absolute error = 7.438494264988549e-15 relative error = 7.932555524846248e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.216999999999977 y1[1] (analytic) = -0.3464614937543824 y1[1] (numeric) = -0.3464614937543611 absolute error = 2.126077092157175e-14 relative error = 6.136546572948793e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9380641946825825 y2[1] (numeric) = -0.9380641946825899 absolute error = 7.438494264988549e-15 relative error = 7.929621775517772e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.217999999999976 y1[1] (analytic) = -0.3455232564853115 y1[1] (numeric) = -0.3455232564852901 absolute error = 2.137179322403426e-14 relative error = 6.185341456152546e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.938410187086535 y2[1] (numeric) = -0.9384101870865424 absolute error = 7.438494264988549e-15 relative error = 7.926698119169728e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.218999999999976 y1[1] (analytic) = -0.3445846736930129 y1[1] (numeric) = -0.3445846736929915 absolute error = 2.148281552649678e-14 relative error = 6.234408308488963e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9387552410803787 y2[1] (numeric) = -0.9387552410803861 absolute error = 7.438494264988549e-15 relative error = 7.923784538798272e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y1[1] (analytic) = -0.3436457463160694 y1[1] (numeric) = -0.3436457463160478 absolute error = 2.159383782895929e-14 relative error = 6.283749489248235e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9390993563190594 y2[1] (numeric) = -0.9390993563190669 absolute error = 7.549516567451064e-15 relative error = 8.039103122211185e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.220999999999976 y1[1] (analytic) = -0.3427064752934081 y1[1] (numeric) = -0.3427064752933864 absolute error = 2.164934898019055e-14 relative error = 6.317169514131726e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9394425324584621 y2[1] (numeric) = -0.9394425324584696 absolute error = 7.549516567451064e-15 relative error = 8.03616645681823e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.221999999999976 y1[1] (analytic) = -0.3417668615643001 y1[1] (numeric) = -0.3417668615642783 absolute error = 2.181588243388433e-14 relative error = 6.383264408383806e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9397847691554106 y2[1] (numeric) = -0.9397847691554182 absolute error = 7.549516567451064e-15 relative error = 8.033239966461526e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.222999999999976 y1[1] (analytic) = -0.3408269060683591 y1[1] (numeric) = -0.3408269060683372 absolute error = 2.192690473634684e-14 relative error = 6.433443001694531e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9401260660676684 y2[1] (numeric) = -0.9401260660676759 absolute error = 7.549516567451064e-15 relative error = 8.030323634179148e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.223999999999976 y1[1] (analytic) = -0.3398866097455404 y1[1] (numeric) = -0.3398866097455183 absolute error = 2.203792703880936e-14 relative error = 6.483905634090228e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9404664228539383 y2[1] (numeric) = -0.9404664228539459 absolute error = 7.549516567451064e-15 relative error = 8.027417443082455e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.224999999999976 y1[1] (analytic) = -0.3389459735361402 y1[1] (numeric) = -0.3389459735361181 absolute error = 2.214894934127187e-14 relative error = 6.534654803595192e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9408058391738638 y2[1] (numeric) = -0.9408058391738714 absolute error = 7.549516567451064e-15 relative error = 8.024521376355839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.225999999999976 y1[1] (analytic) = -0.3380049983807947 y1[1] (numeric) = -0.3380049983807725 absolute error = 2.220446049250313e-14 relative error = 6.569269862538452e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9411443146880286 y2[1] (numeric) = -0.9411443146880362 absolute error = 7.549516567451064e-15 relative error = 8.021635417256476e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.226999999999975 y1[1] (analytic) = -0.3370636852204791 y1[1] (numeric) = -0.3370636852204568 absolute error = 2.231548279496565e-14 relative error = 6.620553851824384e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9414818490579571 y2[1] (numeric) = -0.9414818490579646 absolute error = 7.549516567451064e-15 relative error = 8.01875954911407e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.227999999999975 y1[1] (analytic) = -0.3361220349965063 y1[1] (numeric) = -0.3361220349964839 absolute error = 2.248201624865942e-14 relative error = 6.688646951959904e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9418184419461149 y2[1] (numeric) = -0.9418184419461225 absolute error = 7.66053886991358e-15 relative error = 8.133774545850176e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.228999999999975 y1[1] (analytic) = -0.3351800486505265 y1[1] (numeric) = -0.335180048650504 absolute error = 2.253752739989068e-14 relative error = 6.724006243996132e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9421540930159092 y2[1] (numeric) = -0.9421540930159169 absolute error = 7.66053886991358e-15 relative error = 8.130876813782758e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y1[1] (analytic) = -0.334237727124526 y1[1] (numeric) = -0.3342377271245034 absolute error = 2.264854970235319e-14 relative error = 6.776179905602064e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9424888019316892 y2[1] (numeric) = -0.9424888019316968 absolute error = 7.66053886991358e-15 relative error = 8.127989270761447e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.230999999999975 y1[1] (analytic) = -0.3332950713608263 y1[1] (numeric) = -0.3332950713608035 absolute error = 2.281508315604697e-14 relative error = 6.845310692082597e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9428225683587457 y2[1] (numeric) = -0.9428225683587533 absolute error = 7.66053886991358e-15 relative error = 8.125111900162674e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.231999999999975 y1[1] (analytic) = -0.332352082302083 y1[1] (numeric) = -0.33235208230206 absolute error = 2.292610545850948e-14 relative error = 6.898138052786858e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9431553919633124 y2[1] (numeric) = -0.9431553919633201 absolute error = 7.66053886991358e-15 relative error = 8.122244685435213e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.232999999999975 y1[1] (analytic) = -0.331408760891285 y1[1] (numeric) = -0.331408760891262 absolute error = 2.3037127760972e-14 relative error = 6.951273013729735e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9434872724125658 y2[1] (numeric) = -0.9434872724125735 absolute error = 7.66053886991358e-15 relative error = 8.119387610099946e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.233999999999975 y1[1] (analytic) = -0.3304651080717538 y1[1] (numeric) = -0.3304651080717306 absolute error = 2.314815006343451e-14 relative error = 7.004718349390267e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9438182093746253 y2[1] (numeric) = -0.943818209374633 absolute error = 7.66053886991358e-15 relative error = 8.116540657749609e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.234999999999975 y1[1] (analytic) = -0.329521124787142 y1[1] (numeric) = -0.3295211247871188 absolute error = 2.325917236589703e-14 relative error = 7.05847686727871e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9441482025185541 y2[1] (numeric) = -0.9441482025185619 absolute error = 7.771561172376096e-15 relative error = 8.231293722368095e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.235999999999974 y1[1] (analytic) = -0.3285768119814329 y1[1] (numeric) = -0.3285768119814095 absolute error = 2.337019466835955e-14 relative error = 7.112551408429922e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9444772515143591 y2[1] (numeric) = -0.9444772515143669 absolute error = 7.771561172376096e-15 relative error = 8.228425999583689e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.236999999999974 y1[1] (analytic) = -0.3276321705989392 y1[1] (numeric) = -0.3276321705989158 absolute error = 2.348121697082206e-14 relative error = 7.166944847905631e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9448053560329913 y2[1] (numeric) = -0.9448053560329991 absolute error = 7.771561172376096e-15 relative error = 8.225568496993918e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.237999999999974 y1[1] (analytic) = -0.3266872015843023 y1[1] (numeric) = -0.3266872015842787 absolute error = 2.359223927328458e-14 relative error = 7.22166009530574e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9451325157463463 y2[1] (numeric) = -0.945132515746354 absolute error = 7.771561172376096e-15 relative error = 8.222721198242871e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.238999999999974 y1[1] (analytic) = -0.3257419058824909 y1[1] (numeric) = -0.3257419058824672 absolute error = 2.370326157574709e-14 relative error = 7.276700095288899e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9454587303272641 y2[1] (numeric) = -0.945458730327272 absolute error = 7.882583474838611e-15 relative error = 8.337311002575552e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y1[1] (analytic) = -0.3247962844388008 y1[1] (numeric) = -0.324796284438777 absolute error = 2.381428387820961e-14 relative error = 7.332067828102502e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9457839994495305 y2[1] (numeric) = -0.9457839994495384 absolute error = 7.882583474838611e-15 relative error = 8.334443677865631e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.240999999999974 y1[1] (analytic) = -0.3238503381988533 y1[1] (numeric) = -0.3238503381988294 absolute error = 2.392530618067212e-14 relative error = 7.387766310122333e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9461083227878763 y2[1] (numeric) = -0.9461083227878841 absolute error = 7.882583474838611e-15 relative error = 8.331586653430105e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.241999999999974 y1[1] (analytic) = -0.3229040681085947 y1[1] (numeric) = -0.3229040681085706 absolute error = 2.403632848313464e-14 relative error = 7.443798594402059e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9464317000179781 y2[1] (numeric) = -0.9464317000179859 absolute error = 7.882583474838611e-15 relative error = 8.328739912968762e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.242999999999974 y1[1] (analytic) = -0.3219574751142948 y1[1] (numeric) = -0.3219574751142706 absolute error = 2.420286193682841e-14 relative error = 7.517409536224124e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9467541308164588 y2[1] (numeric) = -0.9467541308164665 absolute error = 7.771561172376096e-15 relative error = 8.208637194615758e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.243999999999974 y1[1] (analytic) = -0.3210105601625467 y1[1] (numeric) = -0.3210105601625224 absolute error = 2.431388423929093e-14 relative error = 7.574169593355236e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9470756148608874 y2[1] (numeric) = -0.9470756148608953 absolute error = 7.882583474838611e-15 relative error = 8.323077219126222e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.244999999999973 y1[1] (analytic) = -0.3200633242002651 y1[1] (numeric) = -0.3200633242002407 absolute error = 2.442490654175344e-14 relative error = 7.631273155955434e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9473961518297802 y2[1] (numeric) = -0.9473961518297881 absolute error = 7.882583474838611e-15 relative error = 8.320261233502334e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.245999999999973 y1[1] (analytic) = -0.319115768174686 y1[1] (numeric) = -0.3191157681746615 absolute error = 2.453592884421596e-14 relative error = 7.688723432426829e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9477157414026002 y2[1] (numeric) = -0.9477157414026081 absolute error = 7.882583474838611e-15 relative error = 8.317455467366773e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.246999999999973 y1[1] (analytic) = -0.3181678930333653 y1[1] (numeric) = -0.3181678930333407 absolute error = 2.464695114667848e-14 relative error = 7.746523670788435e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9480343832597576 y2[1] (numeric) = -0.9480343832597655 absolute error = 7.882583474838611e-15 relative error = 8.314659904775642e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.247999999999973 y1[1] (analytic) = -0.3172196997241782 y1[1] (numeric) = -0.3172196997241534 absolute error = 2.481348460037225e-14 relative error = 7.822176435431821e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9483520770826108 y2[1] (numeric) = -0.9483520770826187 absolute error = 7.882583474838611e-15 relative error = 8.311874529855605e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.248999999999973 y1[1] (analytic) = -0.3162711891953177 y1[1] (numeric) = -0.3162711891952928 absolute error = 2.492450690283476e-14 relative error = 7.880738984239973e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.948668822553466 y2[1] (numeric) = -0.9486688225534738 absolute error = 7.882583474838611e-15 relative error = 8.309099326803646e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y1[1] (analytic) = -0.3153223623952944 y1[1] (numeric) = -0.3153223623952693 absolute error = 2.503552920529728e-14 relative error = 7.939661816281917e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9489846193555777 y2[1] (numeric) = -0.9489846193555855 absolute error = 7.882583474838611e-15 relative error = 8.306334279886853e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.250999999999973 y1[1] (analytic) = -0.314373220272935 y1[1] (numeric) = -0.3143732202729098 absolute error = 2.51465515077598e-14 relative error = 7.998948347422173e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9492994671731491 y2[1] (numeric) = -0.9492994671731569 absolute error = 7.882583474838611e-15 relative error = 8.303579373442179e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.251999999999973 y1[1] (analytic) = -0.3134237637773814 y1[1] (numeric) = -0.3134237637773562 absolute error = 2.520206265899105e-14 relative error = 8.040890823100309e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9496133656913324 y2[1] (numeric) = -0.9496133656913402 absolute error = 7.882583474838611e-15 relative error = 8.300834591876217e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.252999999999973 y1[1] (analytic) = -0.3124739938580903 y1[1] (numeric) = -0.3124739938580649 absolute error = 2.536859611268483e-14 relative error = 8.11862638533879e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9499263145962292 y2[1] (numeric) = -0.949926314596237 absolute error = 7.771561172376096e-15 relative error = 8.181225272909126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.253999999999972 y1[1] (analytic) = -0.3115239114648313 y1[1] (numeric) = -0.3115239114648058 absolute error = 2.547961841514734e-14 relative error = 8.179024940762469e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9502383135748905 y2[1] (numeric) = -0.9502383135748983 absolute error = 7.771561172376096e-15 relative error = 8.178539068940205e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.254999999999972 y1[1] (analytic) = -0.3105735175476868 y1[1] (numeric) = -0.3105735175476612 absolute error = 2.559064071760986e-14 relative error = 8.239801293965949e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9505493623153175 y2[1] (numeric) = -0.9505493623153253 absolute error = 7.771561172376096e-15 relative error = 8.175862801534449e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.255999999999972 y1[1] (analytic) = -0.3096228130570506 y1[1] (numeric) = -0.3096228130570249 absolute error = 2.570166302007237e-14 relative error = 8.300959081893177e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9508594605064613 y2[1] (numeric) = -0.9508594605064691 absolute error = 7.771561172376096e-15 relative error = 8.17319645559049e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.256999999999972 y1[1] (analytic) = -0.3086717989436272 y1[1] (numeric) = -0.3086717989436014 absolute error = 2.581268532253489e-14 relative error = 8.362501987831116e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9511686078382239 y2[1] (numeric) = -0.9511686078382317 absolute error = 7.771561172376096e-15 relative error = 8.170540016074515e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.257999999999972 y1[1] (analytic) = -0.3077204761584306 y1[1] (numeric) = -0.3077204761584046 absolute error = 2.597921877622866e-14 relative error = 8.442473214831893e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.951476804001458 y2[1] (numeric) = -0.9514768040014656 absolute error = 7.66053886991358e-15 relative error = 8.051209275619757e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.258999999999972 y1[1] (analytic) = -0.3067688456527834 y1[1] (numeric) = -0.3067688456527573 absolute error = 2.609024107869118e-14 relative error = 8.50485355615982e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9517840486879672 y2[1] (numeric) = -0.9517840486879749 absolute error = 7.771561172376096e-15 relative error = 8.165256796527722e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y1[1] (analytic) = -0.3058169083783162 y1[1] (numeric) = -0.30581690837829 absolute error = 2.620126338115369e-14 relative error = 8.567630717377132e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9520903415905071 y2[1] (numeric) = -0.9520903415905149 absolute error = 7.771561172376096e-15 relative error = 8.162629986765095e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.260999999999972 y1[1] (analytic) = -0.304864665286966 y1[1] (numeric) = -0.3048646652869397 absolute error = 2.631228568361621e-14 relative error = 8.630808578241995e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9523956824027848 y2[1] (numeric) = -0.9523956824027926 absolute error = 7.771561172376096e-15 relative error = 8.160013023966405e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.261999999999972 y1[1] (analytic) = -0.303912117330976 y1[1] (numeric) = -0.3039121173309496 absolute error = 2.642330798607873e-14 relative error = 8.694391068751753e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9527000708194595 y2[1] (numeric) = -0.9527000708194673 absolute error = 7.771561172376096e-15 relative error = 8.15740589343237e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.262999999999971 y1[1] (analytic) = -0.302959265462894 y1[1] (numeric) = -0.3029592654628674 absolute error = 2.653433028854124e-14 relative error = 8.758382169959126e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9530035065361426 y2[1] (numeric) = -0.9530035065361505 absolute error = 7.882583474838611e-15 relative error = 8.271305845966124e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.263999999999971 y1[1] (analytic) = -0.3020061106355718 y1[1] (numeric) = -0.3020061106355451 absolute error = 2.664535259100376e-14 relative error = 8.82278591480438e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9533059892493988 y2[1] (numeric) = -0.9533059892494066 absolute error = 7.771561172376096e-15 relative error = 8.152221070692278e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.264999999999971 y1[1] (analytic) = -0.3010526538021641 y1[1] (numeric) = -0.3010526538021373 absolute error = 2.675637489346627e-14 relative error = 8.887606388963823e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9536075186567451 y2[1] (numeric) = -0.9536075186567529 absolute error = 7.771561172376096e-15 relative error = 8.149643349418159e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.265999999999971 y1[1] (analytic) = -0.3000988959161277 y1[1] (numeric) = -0.3000988959161008 absolute error = 2.686739719592879e-14 relative error = 8.952847731714998e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9539080944566521 y2[1] (numeric) = -0.9539080944566599 absolute error = 7.771561172376096e-15 relative error = 8.147075402272157e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.266999999999971 y1[1] (analytic) = -0.2991448379312203 y1[1] (numeric) = -0.2991448379311933 absolute error = 2.69784194983913e-14 relative error = 9.018514136818971e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9542077163485443 y2[1] (numeric) = -0.9542077163485521 absolute error = 7.771561172376096e-15 relative error = 8.144517214884239e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.267999999999971 y1[1] (analytic) = -0.2981904808015 y1[1] (numeric) = -0.2981904808014729 absolute error = 2.703393064962256e-14 relative error = 9.065993849622103e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9545063840327995 y2[1] (numeric) = -0.9545063840328074 absolute error = 7.882583474838611e-15 relative error = 8.258282612563169e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.268999999999971 y1[1] (analytic) = -0.2972358254813237 y1[1] (numeric) = -0.2972358254812965 absolute error = 2.720046410331634e-14 relative error = 9.151139186963661e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9548040972107504 y2[1] (numeric) = -0.9548040972107582 absolute error = 7.771561172376096e-15 relative error = 8.139430062228469e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y1[1] (analytic) = -0.2962808729253467 y1[1] (numeric) = -0.2962808729253194 absolute error = 2.731148640577885e-14 relative error = 9.218106500131876e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9551008555846836 y2[1] (numeric) = -0.9551008555846914 absolute error = 7.771561172376096e-15 relative error = 8.136901068545879e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.270999999999971 y1[1] (analytic) = -0.2953256240885215 y1[1] (numeric) = -0.2953256240884941 absolute error = 2.742250870824137e-14 relative error = 9.285516213798532e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9553966588578408 y2[1] (numeric) = -0.9553966588578485 absolute error = 7.771561172376096e-15 relative error = 8.134381777791493e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27199999999997 y1[1] (analytic) = -0.2943700799260968 y1[1] (numeric) = -0.2943700799260692 absolute error = 2.753353101070388e-14 relative error = 9.353372808002881e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9556915067344187 y2[1] (numeric) = -0.9556915067344265 absolute error = 7.771561172376096e-15 relative error = 8.131872175919388e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27299999999997 y1[1] (analytic) = -0.2934142413936167 y1[1] (numeric) = -0.293414241393589 absolute error = 2.76445533131664e-14 relative error = 9.421680822943114e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9559853989195695 y2[1] (numeric) = -0.9559853989195773 absolute error = 7.882583474838611e-15 relative error = 8.245506138218542e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27399999999997 y1[1] (analytic) = -0.2924581094469196 y1[1] (numeric) = -0.2924581094468919 absolute error = 2.775557561562891e-14 relative error = 9.490444859989932e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9562783351194011 y2[1] (numeric) = -0.956278335119409 absolute error = 7.882583474838611e-15 relative error = 8.24298029700149e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27499999999997 y1[1] (analytic) = -0.2915016850421375 y1[1] (numeric) = -0.2915016850421097 absolute error = 2.786659791809143e-14 relative error = 9.559669582720669e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9565703150409772 y2[1] (numeric) = -0.9565703150409851 absolute error = 7.882583474838611e-15 relative error = 8.24046424072959e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27599999999997 y1[1] (analytic) = -0.2905449691356947 y1[1] (numeric) = -0.2905449691356667 absolute error = 2.797762022055394e-14 relative error = 9.629359717974472e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9568613383923181 y2[1] (numeric) = -0.9568613383923259 absolute error = 7.771561172376096e-15 relative error = 8.121930378578756e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27699999999997 y1[1] (analytic) = -0.2895879626843069 y1[1] (numeric) = -0.2895879626842788 absolute error = 2.808864252301646e-14 relative error = 9.699520056929016e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9571514048824002 y2[1] (numeric) = -0.9571514048824081 absolute error = 7.882583474838611e-15 relative error = 8.235461427136598e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27799999999997 y1[1] (analytic) = -0.2886306666449805 y1[1] (numeric) = -0.2886306666449523 absolute error = 2.819966482547898e-14 relative error = 9.7701554561993e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9574405142211573 y2[1] (numeric) = -0.9574405142211652 absolute error = 7.882583474838611e-15 relative error = 8.232974642033823e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27899999999997 y1[1] (analytic) = -0.2876730819750116 y1[1] (numeric) = -0.2876730819749833 absolute error = 2.831068712794149e-14 relative error = 9.841270838959021e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9577286661194799 y2[1] (numeric) = -0.9577286661194878 absolute error = 7.882583474838611e-15 relative error = 8.230497586312439e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y1[1] (analytic) = -0.2867152096319847 y1[1] (numeric) = -0.2867152096319562 absolute error = 2.847722058163527e-14 relative error = 9.932232272639949e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9580158602892163 y2[1] (numeric) = -0.9580158602892241 absolute error = 7.882583474838611e-15 relative error = 8.228030246241363e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.280999999999969 y1[1] (analytic) = -0.2857570505737719 y1[1] (numeric) = -0.2857570505737434 absolute error = 2.853273173286652e-14 relative error = 9.984961587325883e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.9583020964431721 y2[1] (numeric) = -0.95830209644318 absolute error = 7.882583474838611e-15 relative error = 8.225572608153063e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.281999999999969 y1[1] (analytic) = -0.2847986057585325 y1[1] (numeric) = -0.2847986057585039 absolute error = 2.864375403532904e-14 relative error = 1.005754714249365e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9585873742951114 y2[1] (numeric) = -0.9585873742951193 absolute error = 7.882583474838611e-15 relative error = 8.223124658443366e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.282999999999969 y1[1] (analytic) = -0.2838398761447111 y1[1] (numeric) = -0.2838398761446823 absolute error = 2.881028748902281e-14 relative error = 1.015019026936665e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9588716935597562 y2[1] (numeric) = -0.9588716935597642 absolute error = 7.993605777301127e-15 relative error = 8.336470698832837e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.283999999999969 y1[1] (analytic) = -0.2828808626910371 y1[1] (numeric) = -0.2828808626910082 absolute error = 2.886579864025407e-14 relative error = 1.020422462150836e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9591550539527874 y2[1] (numeric) = -0.9591550539527954 absolute error = 7.993605777301127e-15 relative error = 8.334007879496193e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.284999999999969 y1[1] (analytic) = -0.281921566356524 y1[1] (numeric) = -0.281921566356495 absolute error = 2.903233209394784e-14 relative error = 1.029801744831147e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9594374551908447 y2[1] (numeric) = -0.9594374551908527 absolute error = 7.993605777301127e-15 relative error = 8.331554843990423e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.285999999999969 y1[1] (analytic) = -0.2809619881004681 y1[1] (numeric) = -0.280961988100439 absolute error = 2.90878432451791e-14 relative error = 1.035294611980667e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9597188969915266 y2[1] (numeric) = -0.9597188969915346 absolute error = 7.993605777301127e-15 relative error = 8.329111578774825e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.286999999999969 y1[1] (analytic) = -0.2800021288824475 y1[1] (numeric) = -0.2800021288824183 absolute error = 2.919886554764162e-14 relative error = 1.042808698068867e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9599993790733915 y2[1] (numeric) = -0.9599993790733995 absolute error = 7.993605777301127e-15 relative error = 8.32667807037198e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.287999999999969 y1[1] (analytic) = -0.2790419896623213 y1[1] (numeric) = -0.279041989662292 absolute error = 2.930988785010413e-14 relative error = 1.050375532570316e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9602789011559574 y2[1] (numeric) = -0.9602789011559654 absolute error = 7.993605777301127e-15 relative error = 8.32425430536758e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.288999999999969 y1[1] (analytic) = -0.2780815714002287 y1[1] (numeric) = -0.2780815714001993 absolute error = 2.942091015256665e-14 relative error = 1.05799568106664e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9605574629597021 y2[1] (numeric) = -0.9605574629597101 absolute error = 7.993605777301127e-15 relative error = 8.321840270410225e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y1[1] (analytic) = -0.2771208750565879 y1[1] (numeric) = -0.2771208750565584 absolute error = 2.953193245502916e-14 relative error = 1.065669717194663e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9608350642060639 y2[1] (numeric) = -0.9608350642060719 absolute error = 7.993605777301127e-15 relative error = 8.319435952211244e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.290999999999968 y1[1] (analytic) = -0.2761599015920951 y1[1] (numeric) = -0.2761599015920655 absolute error = 2.964295475749168e-14 relative error = 1.073398222790364e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9611117046174417 y2[1] (numeric) = -0.9611117046174495 absolute error = 7.882583474838611e-15 relative error = 8.201526874523055e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.291999999999968 y1[1] (analytic) = -0.2751986519677238 y1[1] (numeric) = -0.2751986519676941 absolute error = 2.97539770599542e-14 relative error = 1.081181788035933e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9613873839171948 y2[1] (numeric) = -0.9613873839172027 absolute error = 7.882583474838611e-15 relative error = 8.199175074173374e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.292999999999968 y1[1] (analytic) = -0.2742371271447234 y1[1] (numeric) = -0.2742371271446936 absolute error = 2.986499936241671e-14 relative error = 1.089021011610001e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9616621018296441 y2[1] (numeric) = -0.9616621018296521 absolute error = 7.993605777301127e-15 relative error = 8.31228116621484e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.293999999999968 y1[1] (analytic) = -0.2732753280846187 y1[1] (numeric) = -0.2732753280845888 absolute error = 2.997602166487923e-14 relative error = 1.096916500841132e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9619358580800718 y2[1] (numeric) = -0.9619358580800798 absolute error = 7.993605777301127e-15 relative error = 8.309915583410695e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.294999999999968 y1[1] (analytic) = -0.2723132557492087 y1[1] (numeric) = -0.2723132557491786 absolute error = 3.008704396734174e-14 relative error = 1.104868871864647e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9622086523947215 y2[1] (numeric) = -0.9622086523947295 absolute error = 7.993605777301127e-15 relative error = 8.307559651856004e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.295999999999968 y1[1] (analytic) = -0.2713509111005657 y1[1] (numeric) = -0.2713509111005355 absolute error = 3.019806626980426e-14 relative error = 1.112878749782879e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.962480484500799 y2[1] (numeric) = -0.962480484500807 absolute error = 7.993605777301127e-15 relative error = 8.305213358634588e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.296999999999968 y1[1] (analytic) = -0.2703882951010342 y1[1] (numeric) = -0.2703882951010039 absolute error = 3.030908857226677e-14 relative error = 1.120946768828931e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9627513541264723 y2[1] (numeric) = -0.9627513541264803 absolute error = 7.993605777301127e-15 relative error = 8.302876690891721e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.297999999999968 y1[1] (analytic) = -0.2694254087132301 y1[1] (numeric) = -0.2694254087131996 absolute error = 3.042011087472929e-14 relative error = 1.129073572534049e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9630212610008716 y2[1] (numeric) = -0.9630212610008796 absolute error = 7.993605777301127e-15 relative error = 8.300549635833941e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.298999999999968 y1[1] (analytic) = -0.2684622529000397 y1[1] (numeric) = -0.2684622529000092 absolute error = 3.05311331771918e-14 relative error = 1.137259813898675e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9632902048540902 y2[1] (numeric) = -0.9632902048540982 absolute error = 7.993605777301127e-15 relative error = 8.298232180728881e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.299999999999967 y1[1] (analytic) = -0.2674988286246188 y1[1] (numeric) = -0.2674988286245882 absolute error = 3.064215547965432e-14 relative error = 1.1455061555673e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9635581854171843 y2[1] (numeric) = -0.9635581854171922 absolute error = 7.882583474838611e-15 relative error = 8.180703141892516e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.300999999999967 y1[1] (analytic) = -0.2665351368503916 y1[1] (numeric) = -0.2665351368503608 absolute error = 3.075317778211684e-14 relative error = 1.153813270007206e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9638252024221732 y2[1] (numeric) = -0.9638252024221811 absolute error = 7.882583474838611e-15 relative error = 8.178436769477516e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.301999999999967 y1[1] (analytic) = -0.2655711785410497 y1[1] (numeric) = -0.2655711785410189 absolute error = 3.086420008457935e-14 relative error = 1.162181839691186e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9640912556020399 y2[1] (numeric) = -0.9640912556020479 absolute error = 7.993605777301127e-15 relative error = 8.291337288719013e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.302999999999967 y1[1] (analytic) = -0.2646069546605515 y1[1] (numeric) = -0.2646069546605205 absolute error = 3.097522238704187e-14 relative error = 1.170612557284374e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9643563446907315 y2[1] (numeric) = -0.9643563446907394 absolute error = 7.882583474838611e-15 relative error = 8.173932300270758e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.303999999999967 y1[1] (analytic) = -0.2636424661731206 y1[1] (numeric) = -0.2636424661730895 absolute error = 3.108624468950438e-14 relative error = 1.179106125835268e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9646204694231587 y2[1] (numeric) = -0.9646204694231666 absolute error = 7.882583474838611e-15 relative error = 8.171694178905806e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.304999999999967 y1[1] (analytic) = -0.2626777140432455 y1[1] (numeric) = -0.2626777140432143 absolute error = 3.11972669919669e-14 relative error = 1.187663258971059e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9648836295351968 y2[1] (numeric) = -0.9648836295352048 absolute error = 7.993605777301127e-15 relative error = 8.284528343746284e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.305999999999967 y1[1] (analytic) = -0.2617126992356782 y1[1] (numeric) = -0.261712699235647 absolute error = 3.125277814319816e-14 relative error = 1.194163608967799e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9651458247636858 y2[1] (numeric) = -0.9651458247636938 absolute error = 7.993605777301127e-15 relative error = 8.282277736898822e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.306999999999967 y1[1] (analytic) = -0.2607474227154336 y1[1] (numeric) = -0.2607474227154022 absolute error = 3.136380044566067e-14 relative error = 1.202842203349006e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9654070548464305 y2[1] (numeric) = -0.9654070548464385 absolute error = 7.993605777301127e-15 relative error = 8.280036630323452e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.307999999999967 y1[1] (analytic) = -0.259781885447788 y1[1] (numeric) = -0.2597818854477565 absolute error = 3.147482274812319e-14 relative error = 1.211586508192048e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9656673195222009 y2[1] (numeric) = -0.9656673195222089 absolute error = 7.993605777301127e-15 relative error = 8.277805011829804e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.308999999999966 y1[1] (analytic) = -0.2588160883982785 y1[1] (numeric) = -0.2588160883982469 absolute error = 3.15858450505857e-14 relative error = 1.220397280789589e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9659266185307321 y2[1] (numeric) = -0.9659266185307401 absolute error = 7.993605777301127e-15 relative error = 8.275582869286877e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.309999999999966 y1[1] (analytic) = -0.2578500325327022 y1[1] (numeric) = -0.2578500325326705 absolute error = 3.169686735304822e-14 relative error = 1.229275290047839e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9661849516127253 y2[1] (numeric) = -0.9661849516127333 absolute error = 7.993605777301127e-15 relative error = 8.273370190622875e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.310999999999966 y1[1] (analytic) = -0.2568837188171149 y1[1] (numeric) = -0.2568837188170831 absolute error = 3.180788965551073e-14 relative error = 1.23822131671007e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9664423185098474 y2[1] (numeric) = -0.9664423185098554 absolute error = 7.993605777301127e-15 relative error = 8.27116696382504e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.311999999999966 y1[1] (analytic) = -0.2559171482178302 y1[1] (numeric) = -0.2559171482177983 absolute error = 3.191891195797325e-14 relative error = 1.247236153585327e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9666987189647316 y2[1] (numeric) = -0.9666987189647396 absolute error = 7.993605777301127e-15 relative error = 8.268973176939486e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.312999999999966 y1[1] (analytic) = -0.2549503217014185 y1[1] (numeric) = -0.2549503217013865 absolute error = 3.197442310920451e-14 relative error = 1.254143273710041e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9669541527209774 y2[1] (numeric) = -0.9669541527209853 absolute error = 7.882583474838611e-15 relative error = 8.151972306708936e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.313999999999966 y1[1] (analytic) = -0.2539832402347065 y1[1] (numeric) = -0.2539832402346743 absolute error = 3.214095656289828e-14 relative error = 1.26547549094959e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.967208619523151 y2[1] (numeric) = -0.9672086195231588 absolute error = 7.882583474838611e-15 relative error = 8.149827571558294e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.314999999999966 y1[1] (analytic) = -0.2530159047847753 y1[1] (numeric) = -0.2530159047847431 absolute error = 3.22519788653608e-14 relative error = 1.274701639519283e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9674621191167856 y2[1] (numeric) = -0.9674621191167935 absolute error = 7.882583474838611e-15 relative error = 8.147692110193184e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.315999999999966 y1[1] (analytic) = -0.2520483163189605 y1[1] (numeric) = -0.2520483163189281 absolute error = 3.236300116782331e-14 relative error = 1.283999894959377e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9677146512483819 y2[1] (numeric) = -0.9677146512483896 absolute error = 7.771561172376096e-15 relative error = 8.030839630618945e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.316999999999966 y1[1] (analytic) = -0.2510804758048503 y1[1] (numeric) = -0.2510804758048178 absolute error = 3.247402347028583e-14 relative error = 1.293371114029827e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9679662156654074 y2[1] (numeric) = -0.9679662156654152 absolute error = 7.771561172376096e-15 relative error = 8.028752498385188e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.317999999999965 y1[1] (analytic) = -0.2501123842102853 y1[1] (numeric) = -0.2501123842102526 absolute error = 3.26405569239796e-14 relative error = 1.305035615371074e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.968216812116298 y2[1] (numeric) = -0.9682168121163057 absolute error = 7.771561172376096e-15 relative error = 8.026674475306064e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.318999999999965 y1[1] (analytic) = -0.2491440425033568 y1[1] (numeric) = -0.2491440425033241 absolute error = 3.275157922644212e-14 relative error = 1.314564012743786e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9684664403504571 y2[1] (numeric) = -0.9684664403504649 absolute error = 7.771561172376096e-15 relative error = 8.024605550155993e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y1[1] (analytic) = -0.2481754516524067 y1[1] (numeric) = -0.2481754516523738 absolute error = 3.286260152890463e-14 relative error = 1.324168096002172e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9687151001182567 y2[1] (numeric) = -0.9687151001182644 absolute error = 7.771561172376096e-15 relative error = 8.022545711765385e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.320999999999965 y1[1] (analytic) = -0.2472066126260255 y1[1] (numeric) = -0.2472066126259926 absolute error = 3.294586825575152e-14 relative error = 1.332726010270286e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9689627911710368 y2[1] (numeric) = -0.9689627911710446 absolute error = 7.771561172376096e-15 relative error = 8.020494949020489e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.321999999999965 y1[1] (analytic) = -0.2462375263930524 y1[1] (numeric) = -0.2462375263930193 absolute error = 3.305689055821404e-14 relative error = 1.342479801614298e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9692095132611064 y2[1] (numeric) = -0.9692095132611143 absolute error = 7.882583474838611e-15 relative error = 8.133002583018427e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.322999999999965 y1[1] (analytic) = -0.2452681939225734 y1[1] (numeric) = -0.2452681939225402 absolute error = 3.319566843629218e-14 relative error = 1.353443669372452e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9694552661417436 y2[1] (numeric) = -0.9694552661417515 absolute error = 7.882583474838611e-15 relative error = 8.130940900666687e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.323999999999965 y1[1] (analytic) = -0.2442986161839208 y1[1] (numeric) = -0.2442986161838876 absolute error = 3.327893516313907e-14 relative error = 1.362223645920488e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9697000495671955 y2[1] (numeric) = -0.9697000495672033 absolute error = 7.882583474838611e-15 relative error = 8.128888390133455e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.324999999999965 y1[1] (analytic) = -0.2433287941466725 y1[1] (numeric) = -0.2433287941466391 absolute error = 3.338995746560158e-14 relative error = 1.372215630406443e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9699438632926786 y2[1] (numeric) = -0.9699438632926864 absolute error = 7.882583474838611e-15 relative error = 8.126845040371226e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.325999999999965 y1[1] (analytic) = -0.2423587287806503 y1[1] (numeric) = -0.2423587287806168 absolute error = 3.35009797680641e-14 relative error = 1.382288970428813e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9701867070743792 y2[1] (numeric) = -0.970186707074387 absolute error = 7.882583474838611e-15 relative error = 8.124810840388369e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.326999999999964 y1[1] (analytic) = -0.2413884210559195 y1[1] (numeric) = -0.2413884210558859 absolute error = 3.361200207052661e-14 relative error = 1.392444671682911e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9704285806694536 y2[1] (numeric) = -0.9704285806694615 absolute error = 7.882583474838611e-15 relative error = 8.122785779248983e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.327999999999964 y1[1] (analytic) = -0.2404178719427878 y1[1] (numeric) = -0.2404178719427541 absolute error = 3.372302437298913e-14 relative error = 1.402683756431144e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9706694838360281 y2[1] (numeric) = -0.970669483836036 absolute error = 7.882583474838611e-15 relative error = 8.120769846072744e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.328999999999964 y1[1] (analytic) = -0.2394470824118042 y1[1] (numeric) = -0.2394470824117703 absolute error = 3.383404667545165e-14 relative error = 1.413007263845605e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9709094163331998 y2[1] (numeric) = -0.9709094163332077 absolute error = 7.882583474838611e-15 relative error = 8.118763030034762e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y1[1] (analytic) = -0.2384760534337581 y1[1] (numeric) = -0.2384760534337241 absolute error = 3.397282455352979e-14 relative error = 1.424580123008723e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.971148377921036 y2[1] (numeric) = -0.9711483779210439 absolute error = 7.882583474838611e-15 relative error = 8.116765320365436e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.330999999999964 y1[1] (analytic) = -0.2375047859796784 y1[1] (numeric) = -0.2375047859796443 absolute error = 3.408384685599231e-14 relative error = 1.435080422291306e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9713863683605752 y2[1] (numeric) = -0.9713863683605831 absolute error = 7.882583474838611e-15 relative error = 8.114776706350304e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.331999999999964 y1[1] (analytic) = -0.2365332810208326 y1[1] (numeric) = -0.2365332810207984 absolute error = 3.419486915845482e-14 relative error = 1.445668407036688e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.971623387413827 y2[1] (numeric) = -0.9716233874138349 absolute error = 7.882583474838611e-15 relative error = 8.112797177329899e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.332999999999964 y1[1] (analytic) = -0.2355615395287254 y1[1] (numeric) = -0.2355615395286911 absolute error = 3.430589146091734e-14 relative error = 1.456345188164043e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9718594348437725 y2[1] (numeric) = -0.9718594348437802 absolute error = 7.771561172376096e-15 relative error = 7.996589726605251e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.333999999999964 y1[1] (analytic) = -0.2345895624750984 y1[1] (numeric) = -0.2345895624750639 absolute error = 3.444466933899548e-14 relative error = 1.468295050111267e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9720945104143639 y2[1] (numeric) = -0.9720945104143718 absolute error = 7.882583474838611e-15 relative error = 8.108865331909539e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.334999999999964 y1[1] (analytic) = -0.2336173508319284 y1[1] (numeric) = -0.2336173508318938 absolute error = 3.4555691641458e-14 relative error = 1.479157755980139e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9723286138905261 y2[1] (numeric) = -0.9723286138905339 absolute error = 7.882583474838611e-15 relative error = 8.106912994464346e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.335999999999963 y1[1] (analytic) = -0.2326449055714271 y1[1] (numeric) = -0.2326449055713924 absolute error = 3.466671394392051e-14 relative error = 1.490112747527028e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9725617450381553 y2[1] (numeric) = -0.9725617450381632 absolute error = 7.882583474838611e-15 relative error = 8.104969699923128e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.336999999999963 y1[1] (analytic) = -0.2316722276660395 y1[1] (numeric) = -0.2316722276660048 absolute error = 3.477773624638303e-14 relative error = 1.501161213700413e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9727939036241205 y2[1] (numeric) = -0.9727939036241284 absolute error = 7.882583474838611e-15 relative error = 8.103035437899265e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.337999999999963 y1[1] (analytic) = -0.2306993180884437 y1[1] (numeric) = -0.2306993180884088 absolute error = 3.488875854884554e-14 relative error = 1.512304363876367e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9730250894162632 y2[1] (numeric) = -0.9730250894162711 absolute error = 7.882583474838611e-15 relative error = 8.101110198060286e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.338999999999963 y1[1] (analytic) = -0.2297261778115489 y1[1] (numeric) = -0.2297261778115139 absolute error = 3.497202527569243e-14 relative error = 1.522335225739097e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9732553021833976 y2[1] (numeric) = -0.9732553021834054 absolute error = 7.771561172376096e-15 relative error = 7.985120815618885e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y1[1] (analytic) = -0.2287528078084955 y1[1] (numeric) = -0.2287528078084604 absolute error = 3.511080315377058e-14 relative error = 1.5348796585336e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.973484541695311 y2[1] (numeric) = -0.9734845416953186 absolute error = 7.66053886991358e-15 relative error = 7.86919415954243e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.340999999999963 y1[1] (analytic) = -0.2277792090526533 y1[1] (numeric) = -0.2277792090526181 absolute error = 3.522182545623309e-14 relative error = 1.546314327928465e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9737128077227636 y2[1] (numeric) = -0.9737128077227714 absolute error = 7.771561172376096e-15 relative error = 7.981368952670511e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.341999999999963 y1[1] (analytic) = -0.2268053825176211 y1[1] (numeric) = -0.2268053825175858 absolute error = 3.530509218307998e-14 relative error = 1.556624970323931e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9739401000374898 y2[1] (numeric) = -0.9739401000374975 absolute error = 7.771561172376096e-15 relative error = 7.979506308526516e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.342999999999963 y1[1] (analytic) = -0.2258313291772252 y1[1] (numeric) = -0.2258313291771898 absolute error = 3.541611448554249e-14 relative error = 1.568255149299903e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.974166418412197 y2[1] (numeric) = -0.9741664184122047 absolute error = 7.771561172376096e-15 relative error = 7.977652509355678e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.343999999999963 y1[1] (analytic) = -0.224857050005519 y1[1] (numeric) = -0.2248570500054835 absolute error = 3.552713678800501e-14 relative error = 1.579987676042757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.974391762620567 y2[1] (numeric) = -0.9743917626205748 absolute error = 7.771561172376096e-15 relative error = 7.975807545288517e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.344999999999962 y1[1] (analytic) = -0.2238825459767816 y1[1] (numeric) = -0.2238825459767459 absolute error = 3.563815909046752e-14 relative error = 1.591823915302602e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9746161324372556 y2[1] (numeric) = -0.9746161324372634 absolute error = 7.771561172376096e-15 relative error = 7.973971406508005e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.345999999999962 y1[1] (analytic) = -0.2229078180655168 y1[1] (numeric) = -0.222907818065481 absolute error = 3.574918139293004e-14 relative error = 1.603765256112403e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9748395276378931 y2[1] (numeric) = -0.9748395276379008 absolute error = 7.771561172376096e-15 relative error = 7.972144083249427e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.346999999999962 y1[1] (analytic) = -0.2219328672464525 y1[1] (numeric) = -0.2219328672464166 absolute error = 3.586020369539256e-14 relative error = 1.615813112330516e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9750619479990841 y2[1] (numeric) = -0.9750619479990918 absolute error = 7.771561172376096e-15 relative error = 7.970325565800252e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.347999999999962 y1[1] (analytic) = -0.2209576944945394 y1[1] (numeric) = -0.2209576944945035 absolute error = 3.597122599785507e-14 relative error = 1.627968923197831e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9752833932984083 y2[1] (numeric) = -0.9752833932984161 absolute error = 7.771561172376096e-15 relative error = 7.968515844500004e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.348999999999962 y1[1] (analytic) = -0.2199823007849503 y1[1] (numeric) = -0.2199823007849142 absolute error = 3.608224830031759e-14 relative error = 1.64023415390999e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9755038633144205 y2[1] (numeric) = -0.9755038633144283 absolute error = 7.771561172376096e-15 relative error = 7.966714909740134e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y1[1] (analytic) = -0.2190066870930788 y1[1] (numeric) = -0.2190066870930426 absolute error = 3.622102617839573e-14 relative error = 1.653877635389354e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9757233578266508 y2[1] (numeric) = -0.9757233578266584 absolute error = 7.66053886991358e-15 relative error = 7.85113814122155e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.350999999999962 y1[1] (analytic) = -0.2180308543945383 y1[1] (numeric) = -0.218030854394502 absolute error = 3.633204848085825e-14 relative error = 1.6663718803355e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9759418766156044 y2[1] (numeric) = -0.975941876615612 absolute error = 7.66053886991358e-15 relative error = 7.84938022792811e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.351999999999962 y1[1] (analytic) = -0.2170548036651617 y1[1] (numeric) = -0.2170548036651253 absolute error = 3.647082635893639e-14 relative error = 1.68025889052416e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9761594194627629 y2[1] (numeric) = -0.9761594194627704 absolute error = 7.549516567451064e-15 relative error = 7.733897165696564e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.352999999999962 y1[1] (analytic) = -0.2160785358809995 y1[1] (numeric) = -0.2160785358809629 absolute error = 3.655409308578328e-14 relative error = 1.691704034218125e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9763759861505831 y2[1] (numeric) = -0.9763759861505906 absolute error = 7.549516567451064e-15 relative error = 7.732181735865356e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.353999999999961 y1[1] (analytic) = -0.2151020520183194 y1[1] (numeric) = -0.2151020520182827 absolute error = 3.666511538824579e-14 relative error = 1.704545123777953e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9765915764624986 y2[1] (numeric) = -0.9765915764625062 absolute error = 7.549516567451064e-15 relative error = 7.730474795612747e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.354999999999961 y1[1] (analytic) = -0.2141253530536052 y1[1] (numeric) = -0.2141253530535684 absolute error = 3.680389326632394e-14 relative error = 1.718801288192635e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.976806190182919 y2[1] (numeric) = -0.9768061901829266 absolute error = 7.549516567451064e-15 relative error = 7.728776335904797e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.355999999999961 y1[1] (analytic) = -0.2131484399635558 y1[1] (numeric) = -0.2131484399635189 absolute error = 3.691491556878645e-14 relative error = 1.731887672980303e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9770198270972307 y2[1] (numeric) = -0.9770198270972382 absolute error = 7.549516567451064e-15 relative error = 7.727086347757153e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.356999999999961 y1[1] (analytic) = -0.2121713137250842 y1[1] (numeric) = -0.2121713137250472 absolute error = 3.70536934468646e-14 relative error = 1.746404487784622e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9772324869917965 y2[1] (numeric) = -0.9772324869918042 absolute error = 7.66053886991358e-15 relative error = 7.839013716679568e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.357999999999961 y1[1] (analytic) = -0.2111939753153166 y1[1] (numeric) = -0.2111939753152794 absolute error = 3.713696017371149e-14 relative error = 1.758428956993934e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.977444169653957 y2[1] (numeric) = -0.9774441696539646 absolute error = 7.66053886991358e-15 relative error = 7.837316040900453e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.358999999999961 y1[1] (analytic) = -0.2102164257115912 y1[1] (numeric) = -0.210216425711554 absolute error = 3.727573805178963e-14 relative error = 1.773207679923665e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9776548748720292 y2[1] (numeric) = -0.9776548748720368 absolute error = 7.66053886991358e-15 relative error = 7.835626934214706e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y1[1] (analytic) = -0.2092386658914577 y1[1] (numeric) = -0.2092386658914203 absolute error = 3.738676035425215e-14 relative error = 1.786799786500574e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9778646024353079 y2[1] (numeric) = -0.9778646024353156 absolute error = 7.66053886991358e-15 relative error = 7.833946387705935e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.360999999999961 y1[1] (analytic) = -0.2082606968326757 y1[1] (numeric) = -0.2082606968326382 absolute error = 3.749778265671466e-14 relative error = 1.800521328651933e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9780733521340659 y2[1] (numeric) = -0.9780733521340734 absolute error = 7.549516567451064e-15 relative error = 7.718763169427646e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.361999999999961 y1[1] (analytic) = -0.2072825195132142 y1[1] (numeric) = -0.2072825195131766 absolute error = 3.760880495917718e-14 relative error = 1.814374171420645e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.978281123759553 y2[1] (numeric) = -0.9782811237595607 absolute error = 7.66053886991358e-15 relative error = 7.830610939802235e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36299999999996 y1[1] (analytic) = -0.2063041349112505 y1[1] (numeric) = -0.2063041349112128 absolute error = 3.771982726163969e-14 relative error = 1.828360215749738e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9784879171039981 y2[1] (numeric) = -0.9784879171040056 absolute error = 7.549516567451064e-15 relative error = 7.71549289008611e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36399999999996 y1[1] (analytic) = -0.2053255440051691 y1[1] (numeric) = -0.2053255440051312 absolute error = 3.783084956410221e-14 relative error = 1.842481399350381e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9786937319606075 y2[1] (numeric) = -0.978693731960615 absolute error = 7.549516567451064e-15 relative error = 7.713870356896219e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36499999999996 y1[1] (analytic) = -0.2043467477735607 y1[1] (numeric) = -0.2043467477735228 absolute error = 3.794187186656472e-14 relative error = 1.856739697595217e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9788985681235665 y2[1] (numeric) = -0.978898568123574 absolute error = 7.549516567451064e-15 relative error = 7.712256216619665e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36599999999996 y1[1] (analytic) = -0.2033677471952216 y1[1] (numeric) = -0.2033677471951836 absolute error = 3.805289416902724e-14 relative error = 1.871137124437859e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9791024253880389 y2[1] (numeric) = -0.9791024253880465 absolute error = 7.549516567451064e-15 relative error = 7.710650460761581e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36699999999996 y1[1] (analytic) = -0.2023885432491523 y1[1] (numeric) = -0.2023885432491142 absolute error = 3.816391647148976e-14 relative error = 1.885675733359458e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9793053035501676 y2[1] (numeric) = -0.9793053035501752 absolute error = 7.549516567451064e-15 relative error = 7.709053080875427e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36799999999996 y1[1] (analytic) = -0.2014091369145566 y1[1] (numeric) = -0.2014091369145183 absolute error = 3.827493877395227e-14 relative error = 1.900357618343282e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9795072024070743 y2[1] (numeric) = -0.9795072024070819 absolute error = 7.549516567451064e-15 relative error = 7.707464068562871e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36899999999996 y1[1] (analytic) = -0.2004295291708408 y1[1] (numeric) = -0.2004295291708024 absolute error = 3.838596107641479e-14 relative error = 1.915184914878267e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9797081217568604 y2[1] (numeric) = -0.9797081217568678 absolute error = 7.438494264988549e-15 relative error = 7.592561600540249e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y1[1] (analytic) = -0.1994497209976125 y1[1] (numeric) = -0.199449720997574 absolute error = 3.84969833788773e-14 relative error = 1.930159800992559e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9799080613986062 y2[1] (numeric) = -0.9799080613986136 absolute error = 7.438494264988549e-15 relative error = 7.591012420462907e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.37099999999996 y1[1] (analytic) = -0.1984697133746798 y1[1] (numeric) = -0.1984697133746412 absolute error = 3.860800568133982e-14 relative error = 1.945284498318085e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9801070211323722 y2[1] (numeric) = -0.9801070211323797 absolute error = 7.438494264988549e-15 relative error = 7.589471460366075e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.371999999999959 y1[1] (analytic) = -0.1974895072820503 y1[1] (numeric) = -0.1974895072820115 absolute error = 3.871902798380233e-14 relative error = 1.960561273187271e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9803050007591989 y2[1] (numeric) = -0.9803050007592063 absolute error = 7.438494264988549e-15 relative error = 7.587938712163862e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.372999999999959 y1[1] (analytic) = -0.1965091036999299 y1[1] (numeric) = -0.1965091036998911 absolute error = 3.883005028626485e-14 relative error = 1.975992437763009e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9805020000811066 y2[1] (numeric) = -0.9805020000811139 absolute error = 7.327471962526033e-15 relative error = 7.473184105611114e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.373999999999959 y1[1] (analytic) = -0.1955285036087222 y1[1] (numeric) = -0.1955285036086833 absolute error = 3.894107258872737e-14 relative error = 1.99158035120309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9806980189010958 y2[1] (numeric) = -0.9806980189011031 absolute error = 7.327471962526033e-15 relative error = 7.471690389195142e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.374999999999959 y1[1] (analytic) = -0.1945477079890273 y1[1] (numeric) = -0.1945477079889882 absolute error = 3.907985046680551e-14 relative error = 2.00875409280122e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9808930570231478 y2[1] (numeric) = -0.9808930570231551 absolute error = 7.327471962526033e-15 relative error = 7.470204738489768e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.375999999999959 y1[1] (analytic) = -0.1935667178216405 y1[1] (numeric) = -0.1935667178216013 absolute error = 3.919087276926803e-14 relative error = 2.024670005789939e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9810871142522245 y2[1] (numeric) = -0.9810871142522318 absolute error = 7.327471962526033e-15 relative error = 7.468727145714236e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.376999999999959 y1[1] (analytic) = -0.1925855340875521 y1[1] (numeric) = -0.1925855340875127 absolute error = 3.930189507173054e-14 relative error = 2.04075011438104e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9812801903942687 y2[1] (numeric) = -0.9812801903942761 absolute error = 7.327471962526033e-15 relative error = 7.467257603133644e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.377999999999959 y1[1] (analytic) = -0.1916041577679456 y1[1] (numeric) = -0.1916041577679062 absolute error = 3.941291737419306e-14 relative error = 2.056996979257965e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9814722852562043 y2[1] (numeric) = -0.9814722852562117 absolute error = 7.327471962526033e-15 relative error = 7.465796103058849e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.378999999999959 y1[1] (analytic) = -0.1906225898441973 y1[1] (numeric) = -0.1906225898441578 absolute error = 3.952393967665557e-14 relative error = 2.073413214507258e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9816633986459365 y2[1] (numeric) = -0.9816633986459438 absolute error = 7.216449660063518e-15 relative error = 7.351246537272931e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y1[1] (analytic) = -0.189640831297875 y1[1] (numeric) = -0.1896408312978354 absolute error = 3.963496197911809e-14 relative error = 2.090001489018057e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9818535303723519 y2[1] (numeric) = -0.9818535303723591 absolute error = 7.216449660063518e-15 relative error = 7.349822999899789e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.380999999999958 y1[1] (analytic) = -0.1886588831107373 y1[1] (numeric) = -0.1886588831106975 absolute error = 3.977373985719623e-14 relative error = 2.108235732205104e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9820426802453186 y2[1] (numeric) = -0.9820426802453259 absolute error = 7.327471962526033e-15 relative error = 7.461459781662033e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.381999999999958 y1[1] (analytic) = -0.1876767462647321 y1[1] (numeric) = -0.1876767462646922 absolute error = 3.988476215965875e-14 relative error = 2.12518401738478e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9822308480756871 y2[1] (numeric) = -0.9822308480756943 absolute error = 7.216449660063518e-15 relative error = 7.346999612363472e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.382999999999958 y1[1] (analytic) = -0.1866944217419964 y1[1] (numeric) = -0.1866944217419564 absolute error = 3.999578446212126e-14 relative error = 2.142312774475592e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9824180336752891 y2[1] (numeric) = -0.9824180336752965 absolute error = 7.327471962526033e-15 relative error = 7.458608974342103e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.383999999999958 y1[1] (analytic) = -0.1857119105248544 y1[1] (numeric) = -0.1857119105248143 absolute error = 4.010680676458378e-14 relative error = 2.159624907806662e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9826042368569395 y2[1] (numeric) = -0.9826042368569468 absolute error = 7.216449660063518e-15 relative error = 7.344207758707418e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.384999999999958 y1[1] (analytic) = -0.1847292135958175 y1[1] (numeric) = -0.1847292135957772 absolute error = 4.02178290670463e-14 relative error = 2.177123384233196e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9827894574344349 y2[1] (numeric) = -0.9827894574344421 absolute error = 7.216449660063518e-15 relative error = 7.342823638851407e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.385999999999958 y1[1] (analytic) = -0.1837463319375822 y1[1] (numeric) = -0.1837463319375419 absolute error = 4.032885136950881e-14 relative error = 2.194811234828259e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9829736952225547 y2[1] (numeric) = -0.9829736952225619 absolute error = 7.216449660063518e-15 relative error = 7.341447380674458e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.386999999999958 y1[1] (analytic) = -0.1827632665330304 y1[1] (numeric) = -0.18276326653299 absolute error = 4.043987367197133e-14 relative error = 2.212691556629773e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9831569500370612 y2[1] (numeric) = -0.9831569500370685 absolute error = 7.327471962526033e-15 relative error = 7.453003268959057e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.387999999999958 y1[1] (analytic) = -0.1817800183652273 y1[1] (numeric) = -0.1817800183651868 absolute error = 4.055089597443384e-14 relative error = 2.230767514444856e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9833392216946997 y2[1] (numeric) = -0.9833392216947069 absolute error = 7.216449660063518e-15 relative error = 7.338718420716092e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.388999999999958 y1[1] (analytic) = -0.180796588417421 y1[1] (numeric) = -0.1807965884173803 absolute error = 4.066191827689636e-14 relative error = 2.249042342713714e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9835205100131983 y2[1] (numeric) = -0.9835205100132055 absolute error = 7.216449660063518e-15 relative error = 7.337365704724019e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.389999999999957 y1[1] (analytic) = -0.1798129776730413 y1[1] (numeric) = -0.1798129776730005 absolute error = 4.08006961549745e-14 relative error = 2.269062927658286e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9837008148112689 y2[1] (numeric) = -0.9837008148112761 absolute error = 7.216449660063518e-15 relative error = 7.336020821989512e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.390999999999957 y1[1] (analytic) = -0.1788291871156989 y1[1] (numeric) = -0.178829187115658 absolute error = 4.091171845743702e-14 relative error = 2.287753980057403e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9838801359086067 y2[1] (numeric) = -0.9838801359086139 absolute error = 7.216449660063518e-15 relative error = 7.334683765517e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.391999999999957 y1[1] (analytic) = -0.1778452177291843 y1[1] (numeric) = -0.1778452177291433 absolute error = 4.102274075989953e-14 relative error = 2.306654139127168e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9840584731258906 y2[1] (numeric) = -0.9840584731258978 absolute error = 7.216449660063518e-15 relative error = 7.333354528354656e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.392999999999957 y1[1] (analytic) = -0.1768610704974668 y1[1] (numeric) = -0.1768610704974257 absolute error = 4.113376306236205e-14 relative error = 2.325766939364489e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9842358262847832 y2[1] (numeric) = -0.9842358262847904 absolute error = 7.216449660063518e-15 relative error = 7.332033103594298e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.393999999999957 y1[1] (analytic) = -0.1758767464046936 y1[1] (numeric) = -0.1758767464046523 absolute error = 4.124478536482457e-14 relative error = 2.345095995232937e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9844121952079318 y2[1] (numeric) = -0.9844121952079389 absolute error = 7.105427357601002e-15 relative error = 7.21793918461175e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.394999999999957 y1[1] (analytic) = -0.1748922464351886 y1[1] (numeric) = -0.1748922464351472 absolute error = 4.135580766728708e-14 relative error = 2.36464500343717e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.984587579718967 y2[1] (numeric) = -0.9845875797189741 absolute error = 7.105427357601002e-15 relative error = 7.216653453651243e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.395999999999957 y1[1] (analytic) = -0.1739075715734517 y1[1] (numeric) = -0.1739075715734102 absolute error = 4.14668299697496e-14 relative error = 2.384417745275435e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9847619796425047 y2[1] (numeric) = -0.9847619796425118 absolute error = 7.105427357601002e-15 relative error = 7.215375394753222e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.396999999999957 y1[1] (analytic) = -0.1729227228041577 y1[1] (numeric) = -0.1729227228041162 absolute error = 4.157785227221211e-14 relative error = 2.404418089073278e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9849353948041447 y2[1] (numeric) = -0.9849353948041518 absolute error = 7.105427357601002e-15 relative error = 7.214105001286833e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.397999999999957 y1[1] (analytic) = -0.1719377011121554 y1[1] (numeric) = -0.1719377011121137 absolute error = 4.168887457467463e-14 relative error = 2.424649992701768e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.985107825030472 y2[1] (numeric) = -0.9851078250304791 absolute error = 7.105427357601002e-15 relative error = 7.212842266663766e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.398999999999957 y1[1] (analytic) = -0.1709525074824663 y1[1] (numeric) = -0.1709525074824245 absolute error = 4.179989687713714e-14 relative error = 2.44511750618366e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9852792701490565 y2[1] (numeric) = -0.9852792701490635 absolute error = 6.994405055138486e-15 relative error = 7.098906134582887e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.399999999999956 y1[1] (analytic) = -0.1699671429002839 y1[1] (numeric) = -0.169967142900242 absolute error = 4.193867475521529e-14 relative error = 2.467457770930456e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9854497299884528 y2[1] (numeric) = -0.9854497299884598 absolute error = 6.994405055138486e-15 relative error = 7.097678189247101e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.400999999999956 y1[1] (analytic) = -0.1689816083509728 y1[1] (numeric) = -0.1689816083509308 absolute error = 4.20496970576778e-14 relative error = 2.488418560340666e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9856192043782013 y2[1] (numeric) = -0.9856192043782083 absolute error = 6.994405055138486e-15 relative error = 7.096457763879565e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.401999999999956 y1[1] (analytic) = -0.1679959048200675 y1[1] (numeric) = -0.1679959048200253 absolute error = 4.218847493575595e-14 relative error = 2.511279961314655e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9857876931488275 y2[1] (numeric) = -0.9857876931488345 absolute error = 6.994405055138486e-15 relative error = 7.095244852161608e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.402999999999956 y1[1] (analytic) = -0.1670100332932713 y1[1] (numeric) = -0.167010033293229 absolute error = 4.229949723821846e-14 relative error = 2.532751859520926e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9859551961318427 y2[1] (numeric) = -0.9859551961318497 absolute error = 6.994405055138486e-15 relative error = 7.094039447816033e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.403999999999956 y1[1] (analytic) = -0.1660239947564557 y1[1] (numeric) = -0.1660239947564133 absolute error = 4.238276396506535e-14 relative error = 2.552809551850476e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.986121713159744 y2[1] (numeric) = -0.9861217131597509 absolute error = 6.994405055138486e-15 relative error = 7.092841544607028e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.404999999999956 y1[1] (analytic) = -0.1650377901956592 y1[1] (numeric) = -0.1650377901956167 absolute error = 4.249378626752787e-14 relative error = 2.574791277631002e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9862872440660142 y2[1] (numeric) = -0.9862872440660212 absolute error = 6.994405055138486e-15 relative error = 7.091651136340091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.405999999999956 y1[1] (analytic) = -0.1640514205970863 y1[1] (numeric) = -0.1640514205970437 absolute error = 4.260480856999038e-14 relative error = 2.597039904617997e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9864517886851226 y2[1] (numeric) = -0.9864517886851296 absolute error = 6.994405055138486e-15 relative error = 7.090468216861954e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.406999999999956 y1[1] (analytic) = -0.1630648869471064 y1[1] (numeric) = -0.1630648869470637 absolute error = 4.27158308724529e-14 relative error = 2.619560327926925e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9866153468525246 y2[1] (numeric) = -0.9866153468525315 absolute error = 6.883382752675971e-15 relative error = 6.97676432323414e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.407999999999956 y1[1] (analytic) = -0.1620781902322532 y1[1] (numeric) = -0.1620781902322104 absolute error = 4.285460875053104e-14 relative error = 2.644070043546369e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9867779184046619 y2[1] (numeric) = -0.9867779184046688 absolute error = 6.883382752675971e-15 relative error = 6.975614902089049e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.408999999999955 y1[1] (analytic) = -0.1610913314392233 y1[1] (numeric) = -0.1610913314391803 absolute error = 4.296563105299356e-14 relative error = 2.667159720459799e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.986939503178963 y2[1] (numeric) = -0.9869395031789698 absolute error = 6.883382752675971e-15 relative error = 6.974472832938979e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.409999999999955 y1[1] (analytic) = -0.1601043115548753 y1[1] (numeric) = -0.1601043115548322 absolute error = 4.307665335545607e-14 relative error = 2.690536746769101e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9871001010138432 y2[1] (numeric) = -0.98710010101385 absolute error = 6.883382752675971e-15 relative error = 6.973338109889868e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.410999999999955 y1[1] (analytic) = -0.1591171315662292 y1[1] (numeric) = -0.159117131566186 absolute error = 4.321543123353422e-14 relative error = 2.715950872678138e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9872597117487046 y2[1] (numeric) = -0.9872597117487114 absolute error = 6.772360450213455e-15 relative error = 6.85975571536062e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.411999999999955 y1[1] (analytic) = -0.1581297924604647 y1[1] (numeric) = -0.1581297924604214 absolute error = 4.332645353599673e-14 relative error = 2.739929829910397e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9874183352239365 y2[1] (numeric) = -0.9874183352239433 absolute error = 6.772360450213455e-15 relative error = 6.858653732288202e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.412999999999955 y1[1] (analytic) = -0.1571422952249209 y1[1] (numeric) = -0.1571422952248775 absolute error = 4.343747583845925e-14 relative error = 2.764212892288885e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9875759712809156 y2[1] (numeric) = -0.9875759712809222 absolute error = 6.661338147750939e-15 relative error = 6.745139960332353e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.413999999999955 y1[1] (analytic) = -0.156154640847095 y1[1] (numeric) = -0.1561546408470515 absolute error = 4.354849814092177e-14 relative error = 2.788805885286752e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9877326197620057 y2[1] (numeric) = -0.9877326197620122 absolute error = 6.550315845288424e-15 relative error = 6.631669051151438e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.414999999999955 y1[1] (analytic) = -0.1551668303146413 y1[1] (numeric) = -0.1551668303145977 absolute error = 4.365952044338428e-14 relative error = 2.813714783942753e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9878882805105582 y2[1] (numeric) = -0.9878882805105648 absolute error = 6.550315845288424e-15 relative error = 6.630624104481839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.415999999999955 y1[1] (analytic) = -0.1541788646153702 y1[1] (numeric) = -0.1541788646153264 absolute error = 4.379829832146243e-14 relative error = 2.840745936917227e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9880429533709126 y2[1] (numeric) = -0.9880429533709192 absolute error = 6.550315845288424e-15 relative error = 6.629586115604254e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.416999999999955 y1[1] (analytic) = -0.1531907447372474 y1[1] (numeric) = -0.1531907447372035 absolute error = 4.390932062392494e-14 relative error = 2.86631680649103e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.988196638188396 y2[1] (numeric) = -0.9881966381884025 absolute error = 6.550315845288424e-15 relative error = 6.628555079176084e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.417999999999954 y1[1] (analytic) = -0.1522024716683925 y1[1] (numeric) = -0.1522024716683485 absolute error = 4.402034292638746e-14 relative error = 2.892222606101675e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9883493348093235 y2[1] (numeric) = -0.9883493348093301 absolute error = 6.550315845288424e-15 relative error = 6.627530989892494e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.418999999999954 y1[1] (analytic) = -0.1512140463970787 y1[1] (numeric) = -0.1512140463970346 absolute error = 4.413136522884997e-14 relative error = 2.918469962305205e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9885010430809985 y2[1] (numeric) = -0.9885010430810052 absolute error = 6.661338147750939e-15 relative error = 6.738827636426788e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y1[1] (analytic) = -0.1502254699117311 y1[1] (numeric) = -0.1502254699116868 absolute error = 4.421463195569686e-14 relative error = 2.943218082904073e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9886517628517129 y2[1] (numeric) = -0.9886517628517195 absolute error = 6.661338147750939e-15 relative error = 6.737800303452317e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.420999999999954 y1[1] (analytic) = -0.1492367432009261 y1[1] (numeric) = -0.1492367432008817 absolute error = 4.4353409833775e-14 relative error = 2.972016735453644e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9888014939707468 y2[1] (numeric) = -0.9888014939707533 absolute error = 6.550315845288424e-15 relative error = 6.624500352425854e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.421999999999954 y1[1] (analytic) = -0.1482478672533903 y1[1] (numeric) = -0.1482478672533458 absolute error = 4.443667656062189e-14 relative error = 2.99745806694603e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9889502362883692 y2[1] (numeric) = -0.9889502362883756 absolute error = 6.439293542825908e-15 relative error = 6.511241219773839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.422999999999954 y1[1] (analytic) = -0.1472588430579996 y1[1] (numeric) = -0.147258843057955 absolute error = 4.457545443870004e-14 relative error = 3.027013761145976e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9890979896558376 y2[1] (numeric) = -0.9890979896558441 absolute error = 6.439293542825908e-15 relative error = 6.510268557988372e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.423999999999954 y1[1] (analytic) = -0.1462696716037781 y1[1] (numeric) = -0.1462696716037334 absolute error = 4.468647674116255e-14 relative error = 3.055074661151307e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9892447539253988 y2[1] (numeric) = -0.9892447539254052 absolute error = 6.439293542825908e-15 relative error = 6.509302695085619e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.424999999999954 y1[1] (analytic) = -0.1452803538798972 y1[1] (numeric) = -0.1452803538798524 absolute error = 4.479749904362507e-14 relative error = 3.083520782215261e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9893905289502886 y2[1] (numeric) = -0.9893905289502949 absolute error = 6.328271240363392e-15 relative error = 6.396130804968877e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.425999999999954 y1[1] (analytic) = -0.1442908908756746 y1[1] (numeric) = -0.1442908908756297 absolute error = 4.490852134608758e-14 relative error = 3.112360113209234e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9895353145847319 y2[1] (numeric) = -0.9895353145847381 absolute error = 6.217248937900877e-15 relative error = 6.282998541098056e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.426999999999953 y1[1] (analytic) = -0.1433012835805731 y1[1] (numeric) = -0.1433012835805281 absolute error = 4.50195436485501e-14 relative error = 3.141600865231416e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.989679110683943 y2[1] (numeric) = -0.9896791106839492 absolute error = 6.217248937900877e-15 relative error = 6.282085648553588e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.427999999999953 y1[1] (analytic) = -0.1423115329841999 y1[1] (numeric) = -0.1423115329841548 absolute error = 4.513056595101261e-14 relative error = 3.171251479388056e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9898219171041258 y2[1] (numeric) = -0.989821917104132 absolute error = 6.217248937900877e-15 relative error = 6.281179301515551e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.428999999999953 y1[1] (analytic) = -0.1413216400763057 y1[1] (numeric) = -0.1413216400762604 absolute error = 4.526934382909076e-14 relative error = 3.203284635293496e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9899637337024741 y2[1] (numeric) = -0.9899637337024803 absolute error = 6.106226635438361e-15 relative error = 6.168131647207936e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y1[1] (analytic) = -0.1403316058467831 y1[1] (numeric) = -0.1403316058467377 absolute error = 4.538036613155327e-14 relative error = 3.233795113917564e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9901045603371712 y2[1] (numeric) = -0.9901045603371773 absolute error = 6.106226635438361e-15 relative error = 6.167254328531666e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.430999999999953 y1[1] (analytic) = -0.1393414312856664 y1[1] (numeric) = -0.1393414312856209 absolute error = 4.549138843401579e-14 relative error = 3.264742439795459e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9902443968673905 y2[1] (numeric) = -0.9902443968673965 absolute error = 5.995204332975845e-15 relative error = 6.054267362624319e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.431999999999953 y1[1] (analytic) = -0.13835111738313 y1[1] (numeric) = -0.1383511173830844 absolute error = 4.56024107364783e-14 relative error = 3.296136063013748e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9903832431532954 y2[1] (numeric) = -0.9903832431533014 absolute error = 5.995204332975845e-15 relative error = 6.053418587624351e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.432999999999953 y1[1] (analytic) = -0.1373606651294877 y1[1] (numeric) = -0.137360665129442 absolute error = 4.571343303894082e-14 relative error = 3.32798570797888e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9905210990560397 y2[1] (numeric) = -0.9905210990560457 absolute error = 5.995204332975845e-15 relative error = 6.052576102305379e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.433999999999953 y1[1] (analytic) = -0.1363700755151918 y1[1] (numeric) = -0.136370075515146 absolute error = 4.582445534140334e-14 relative error = 3.360301383443791e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9906579644377674 y2[1] (numeric) = -0.9906579644377734 absolute error = 5.995204332975845e-15 relative error = 6.051739902357047e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.434999999999953 y1[1] (analytic) = -0.1353793495308317 y1[1] (numeric) = -0.1353793495307858 absolute error = 4.596323321948148e-14 relative error = 3.395143600465717e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9907938391616133 y2[1] (numeric) = -0.9907938391616193 absolute error = 5.995204332975845e-15 relative error = 6.05090998350257e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.435999999999952 y1[1] (analytic) = -0.1343884881671334 y1[1] (numeric) = -0.1343884881670873 absolute error = 4.6074255521944e-14 relative error = 3.428437669798275e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9909287230917027 y2[1] (numeric) = -0.9909287230917087 absolute error = 5.995204332975845e-15 relative error = 6.050086341498687e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.436999999999952 y1[1] (analytic) = -0.1333974924149581 y1[1] (numeric) = -0.1333974924149119 absolute error = 4.618527782440651e-14 relative error = 3.462229835680755e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9910626160931514 y2[1] (numeric) = -0.9910626160931574 absolute error = 5.995204332975845e-15 relative error = 6.049268972135609e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.437999999999952 y1[1] (analytic) = -0.1324063632653015 y1[1] (numeric) = -0.1324063632652552 absolute error = 4.629630012686903e-14 relative error = 3.496531358852107e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9911955180320666 y2[1] (numeric) = -0.9911955180320726 absolute error = 5.995204332975845e-15 relative error = 6.048457871236956e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.438999999999952 y1[1] (analytic) = -0.1314151017092927 y1[1] (numeric) = -0.1314151017092463 absolute error = 4.643507800494717e-14 relative error = 3.533465895545826e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9913274287755465 y2[1] (numeric) = -0.9913274287755525 absolute error = 5.995204332975845e-15 relative error = 6.047653034659715e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y1[1] (analytic) = -0.1304237087381931 y1[1] (numeric) = -0.1304237087381465 absolute error = 4.654610030740969e-14 relative error = 3.568837350028461e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9914583481916802 y2[1] (numeric) = -0.9914583481916861 absolute error = 5.88418203051333e-15 relative error = 5.934875672029473e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.440999999999952 y1[1] (analytic) = -0.1294321853433957 y1[1] (numeric) = -0.129432185343349 absolute error = 4.668487818548783e-14 relative error = 3.606898706193402e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9915882761495484 y2[1] (numeric) = -0.9915882761495541 absolute error = 5.773159728050814e-15 relative error = 5.82213391072821e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.441999999999952 y1[1] (analytic) = -0.1284405325164236 y1[1] (numeric) = -0.1284405325163768 absolute error = 4.679590048795035e-14 relative error = 3.643390413533717e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.991717212519223 y2[1] (numeric) = -0.9917172125192287 absolute error = 5.773159728050814e-15 relative error = 5.821376956224716e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.442999999999952 y1[1] (analytic) = -0.1274487512489298 y1[1] (numeric) = -0.1274487512488829 absolute error = 4.690692279041286e-14 relative error = 3.680453698506265e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9918451571717676 y2[1] (numeric) = -0.9918451571717735 absolute error = 5.88418203051333e-15 relative error = 5.932561134131048e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.443999999999952 y1[1] (analytic) = -0.1264568425326953 y1[1] (numeric) = -0.1264568425326483 absolute error = 4.701794509287538e-14 relative error = 3.718102093267031e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9919721099792378 y2[1] (numeric) = -0.9919721099792437 absolute error = 5.88418203051333e-15 relative error = 5.931801883660304e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.444999999999951 y1[1] (analytic) = -0.1254648073596289 y1[1] (numeric) = -0.1254648073595818 absolute error = 4.71289673953379e-14 relative error = 3.756349560259453e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9920980708146807 y2[1] (numeric) = -0.9920980708146865 absolute error = 5.773159728050814e-15 relative error = 5.819142177456379e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.445999999999951 y1[1] (analytic) = -0.1244726467217655 y1[1] (numeric) = -0.1244726467217183 absolute error = 4.723998969780041e-14 relative error = 3.795210509454037e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9922230395521354 y2[1] (numeric) = -0.9922230395521412 absolute error = 5.773159728050814e-15 relative error = 5.818409266788114e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.446999999999951 y1[1] (analytic) = -0.1234803616112658 y1[1] (numeric) = -0.1234803616112185 absolute error = 4.735101200026293e-14 relative error = 3.834699816423506e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9923470160666333 y2[1] (numeric) = -0.992347016066639 absolute error = 5.662137425588298e-15 relative error = 5.7058038507853e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.447999999999951 y1[1] (analytic) = -0.1224879530204148 y1[1] (numeric) = -0.1224879530203674 absolute error = 4.746203430272544e-14 relative error = 3.87483284130114e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9924700002341978 y2[1] (numeric) = -0.9924700002342035 absolute error = 5.662137425588298e-15 relative error = 5.705096803180123e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.448999999999951 y1[1] (analytic) = -0.121495421941621 y1[1] (numeric) = -0.1214954219415734 absolute error = 4.757305660518796e-14 relative error = 3.915625448673037e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9925919919318448 y2[1] (numeric) = -0.9925919919318504 absolute error = 5.662137425588298e-15 relative error = 5.70439563447242e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y1[1] (analytic) = -0.1205027693674153 y1[1] (numeric) = -0.1205027693673676 absolute error = 4.768407890765047e-14 relative error = 3.957094028458448e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9927129910375826 y2[1] (numeric) = -0.9927129910375881 absolute error = 5.551115123125783e-15 relative error = 5.59186307950273e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.450999999999951 y1[1] (analytic) = -0.1195099962904504 y1[1] (numeric) = -0.1195099962904026 absolute error = 4.779510121011299e-14 relative error = 3.999255517835887e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.992832997430412 y2[1] (numeric) = -0.9928329974304175 absolute error = 5.551115123125783e-15 relative error = 5.591187175983101e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.451999999999951 y1[1] (analytic) = -0.118517103703499 y1[1] (numeric) = -0.1185171037034511 absolute error = 4.79061235125755e-14 relative error = 4.042127424276666e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9929520109903268 y2[1] (numeric) = -0.9929520109903323 absolute error = 5.440092820663267e-15 relative error = 5.478706685167551e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.452999999999951 y1[1] (analytic) = -0.1175240925994539 y1[1] (numeric) = -0.1175240925994059 absolute error = 4.801714581503802e-14 relative error = 4.085727849751647e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9930700315983133 y2[1] (numeric) = -0.9930700315983187 absolute error = 5.440092820663267e-15 relative error = 5.478055572684655e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45399999999995 y1[1] (analytic) = -0.116530963971326 y1[1] (numeric) = -0.1165309639712778 absolute error = 4.814204590530835e-14 relative error = 4.131266426076623e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.993187059136351 y2[1] (numeric) = -0.9931870591363564 absolute error = 5.440092820663267e-15 relative error = 5.477410091704e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45499999999995 y1[1] (analytic) = -0.1155377188122438 y1[1] (numeric) = -0.1155377188121955 absolute error = 4.825306820777087e-14 relative error = 4.176390940017192e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9933030934874123 y2[1] (numeric) = -0.9933030934874176 absolute error = 5.329070518200751e-15 relative error = 5.364999417741454e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45599999999995 y1[1] (analytic) = -0.1145443581154524 y1[1] (numeric) = -0.114544358115404 absolute error = 4.836409051023338e-14 relative error = 4.22230228585208e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9934181345354629 y2[1] (numeric) = -0.9934181345354682 absolute error = 5.329070518200751e-15 relative error = 5.364378133375534e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45699999999995 y1[1] (analytic) = -0.1135508828743124 y1[1] (numeric) = -0.1135508828742639 absolute error = 4.84751128126959e-14 relative error = 4.269021216360968e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9935321821654617 y2[1] (numeric) = -0.993532182165467 absolute error = 5.329070518200751e-15 relative error = 5.36376235602729e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45799999999995 y1[1] (analytic) = -0.112557294082299 y1[1] (numeric) = -0.1125572940822504 absolute error = 4.860001290296623e-14 relative error = 4.317802173480745e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9936452362633612 y2[1] (numeric) = -0.9936452362633664 absolute error = 5.218048215738236e-15 relative error = 5.251419747515617e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45899999999995 y1[1] (analytic) = -0.111563592733001 y1[1] (numeric) = -0.1115635927329523 absolute error = 4.871103520542874e-14 relative error = 4.36621249030642e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9937572967161071 y2[1] (numeric) = -0.9937572967161123 absolute error = 5.218048215738236e-15 relative error = 5.250827574279345e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y1[1] (analytic) = -0.1105697798201195 y1[1] (numeric) = -0.1105697798200706 absolute error = 4.883593529569907e-14 relative error = 4.416752513674881e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9938683634116393 y2[1] (numeric) = -0.9938683634116444 absolute error = 5.10702591327572e-15 relative error = 5.138533533500248e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46099999999995 y1[1] (analytic) = -0.1095758563374673 y1[1] (numeric) = -0.1095758563374184 absolute error = 4.894695759816159e-14 relative error = 4.466947303374632e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9939784362388908 y2[1] (numeric) = -0.9939784362388959 absolute error = 5.10702591327572e-15 relative error = 5.137964494079132e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.46199999999995 y1[1] (analytic) = -0.108581823278968 y1[1] (numeric) = -0.108581823278919 absolute error = 4.90579799006241e-14 relative error = 4.518065585856347e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9940875150877889 y2[1] (numeric) = -0.994087515087794 absolute error = 5.10702591327572e-15 relative error = 5.137400717505957e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.462999999999949 y1[1] (analytic) = -0.1075876816386545 y1[1] (numeric) = -0.1075876816386053 absolute error = 4.918287999089443e-14 relative error = 4.57142297722157e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9941955998492548 y2[1] (numeric) = -0.9941955998492599 absolute error = 5.10702591327572e-15 relative error = 5.136842200921101e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.463999999999949 y1[1] (analytic) = -0.1065934324106683 y1[1] (numeric) = -0.106593432410619 absolute error = 4.929390229335695e-14 relative error = 4.624478373437146e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9943026904152037 y2[1] (numeric) = -0.9943026904152087 absolute error = 4.996003610813204e-15 relative error = 5.024630486242533e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.464999999999949 y1[1] (analytic) = -0.1055990765892585 y1[1] (numeric) = -0.1055990765892091 absolute error = 4.940492459581947e-14 relative error = 4.67853755842832e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9944087866785449 y2[1] (numeric) = -0.9944087866785499 absolute error = 4.996003610813204e-15 relative error = 5.024094394318968e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.465999999999949 y1[1] (analytic) = -0.104604615168781 y1[1] (numeric) = -0.1046046151687314 absolute error = 4.951594689828198e-14 relative error = 4.733629278056932e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9945138885331825 y2[1] (numeric) = -0.9945138885331873 absolute error = 4.884981308350689e-15 relative error = 4.911928696697833e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.466999999999949 y1[1] (analytic) = -0.103610049143697 y1[1] (numeric) = -0.1036100491436473 absolute error = 4.96269692007445e-14 relative error = 4.789783385964499e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9946179958740143 y2[1] (numeric) = -0.9946179958740191 absolute error = 4.773959005888173e-15 relative error = 4.799791503564227e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.467999999999949 y1[1] (analytic) = -0.1026153795085725 y1[1] (numeric) = -0.1026153795085227 absolute error = 4.973799150320701e-14 relative error = 4.8470308974545e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9947211085969332 y2[1] (numeric) = -0.994721108596938 absolute error = 4.773959005888173e-15 relative error = 4.799293957501217e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.468999999999949 y1[1] (analytic) = -0.101620607258077 y1[1] (numeric) = -0.1016206072580272 absolute error = 4.984901380566953e-14 relative error = 4.905404046550551e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9948232265988263 y2[1] (numeric) = -0.994823226598831 absolute error = 4.773959005888173e-15 relative error = 4.798801312882219e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y1[1] (analytic) = -0.1006257333869828 y1[1] (numeric) = -0.1006257333869328 absolute error = 4.996003610813204e-14 relative error = 4.964936346451019e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9949243497775757 y2[1] (numeric) = -0.9949243497775805 absolute error = 4.773959005888173e-15 relative error = 4.798313567212858e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.470999999999949 y1[1] (analytic) = -0.09963075889016351 y1[1] (numeric) = -0.09963075889011344 absolute error = 5.007105841059456e-14 relative error = 5.025662653618314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9950244780320583 y2[1] (numeric) = -0.9950244780320631 absolute error = 4.773959005888173e-15 relative error = 4.797830718024168e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.471999999999948 y1[1] (analytic) = -0.09863568476259367 y1[1] (numeric) = -0.09863568476254349 absolute error = 5.018208071305708e-14 relative error = 5.087619235760402e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9951236112621458 y2[1] (numeric) = -0.9951236112621505 absolute error = 4.773959005888173e-15 relative error = 4.797352762872558e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.472999999999948 y1[1] (analytic) = -0.09764051199934728 y1[1] (numeric) = -0.09764051199929699 absolute error = 5.029310301551959e-14 relative error = 5.1508438439831e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9952217493687049 y2[1] (numeric) = -0.9952217493687097 absolute error = 4.773959005888173e-15 relative error = 4.79687969933979e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.473999999999948 y1[1] (analytic) = -0.09664524159559705 y1[1] (numeric) = -0.09664524159554663 absolute error = 5.041800310578992e-14 relative error = 5.21681174089867e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9953188922535976 y2[1] (numeric) = -0.9953188922536024 absolute error = 4.773959005888173e-15 relative error = 4.796411525032938e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.474999999999948 y1[1] (analytic) = -0.09564987454661326 y1[1] (numeric) = -0.09564987454656274 absolute error = 5.052902540825244e-14 relative error = 5.282706919142692e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.995415039819681 y2[1] (numeric) = -0.9954150398196857 absolute error = 4.662936703425657e-15 relative error = 4.684414557640546e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.475999999999948 y1[1] (analytic) = -0.0946544118477629 y1[1] (numeric) = -0.09465441184771226 absolute error = 5.064004771071495e-14 relative error = 5.349993383526771e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9955101919708076 y2[1] (numeric) = -0.9955101919708121 absolute error = 4.551914400963142e-15 relative error = 4.572443795830694e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.476999999999948 y1[1] (analytic) = -0.09365885449450859 y1[1] (numeric) = -0.09365885449445782 absolute error = 5.076494780098528e-14 relative error = 5.420197382828522e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.995604348611825 y2[1] (numeric) = -0.9956043486118296 absolute error = 4.551914400963142e-15 relative error = 4.572011369084409e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.477999999999948 y1[1] (analytic) = -0.09266320348240757 y1[1] (numeric) = -0.0926632034823567 absolute error = 5.08759701034478e-14 relative error = 5.490417791686511e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.995697509648577 y2[1] (numeric) = -0.9956975096485814 absolute error = 4.440892098500626e-15 relative error = 4.46008155636344e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.478999999999948 y1[1] (analytic) = -0.0916674598071108 y1[1] (numeric) = -0.09166745980705981 absolute error = 5.098699240591031e-14 relative error = 5.562169227029804e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9957896749879022 y2[1] (numeric) = -0.9957896749879065 absolute error = 4.329869796038111e-15 relative error = 4.348177034563764e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y1[1] (analytic) = -0.09067162446436186 y1[1] (numeric) = -0.09067162446431076 absolute error = 5.109801470837283e-14 relative error = 5.635502287538337e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9958808445376353 y2[1] (numeric) = -0.9958808445376396 absolute error = 4.329869796038111e-15 relative error = 4.347778973546147e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.480999999999947 y1[1] (analytic) = -0.08967569844999601 y1[1] (numeric) = -0.0896756984499448 absolute error = 5.120903701083535e-14 relative error = 5.710469825823545e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9959710182066069 y2[1] (numeric) = -0.9959710182066112 absolute error = 4.218847493575595e-15 relative error = 4.235913913611918e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.481999999999947 y1[1] (analytic) = -0.08867968275993919 y1[1] (numeric) = -0.08867968275988786 absolute error = 5.133393710110568e-14 relative error = 5.788692009653382e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9960601959046433 y2[1] (numeric) = -0.9960601959046476 absolute error = 4.218847493575595e-15 relative error = 4.235534670416126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.482999999999947 y1[1] (analytic) = -0.08768357839020699 y1[1] (numeric) = -0.08768357839015554 absolute error = 5.144495940356819e-14 relative error = 5.86711449829628e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9961483775425669 y2[1] (numeric) = -0.996148377542571 absolute error = 4.107825191113079e-15 relative error = 4.123708158062573e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.483999999999947 y1[1] (analytic) = -0.08668738633690372 y1[1] (numeric) = -0.08668738633685215 absolute error = 5.156985949383852e-14 relative error = 5.94894617002482e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.996235563032196 y2[1] (numeric) = -0.9962355630322 absolute error = 3.996802888650564e-15 relative error = 4.01190545385238e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.484999999999947 y1[1] (analytic) = -0.08569110759622132 y1[1] (numeric) = -0.08569110759616964 absolute error = 5.168088179630104e-14 relative error = 6.031067078724512e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9963217522863449 y2[1] (numeric) = -0.9963217522863489 absolute error = 3.996802888650564e-15 relative error = 4.011558394142011e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.485999999999947 y1[1] (analytic) = -0.08469474316443848 y1[1] (numeric) = -0.08469474316438669 absolute error = 5.179190409876355e-14 relative error = 6.115126177100194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9964069452188247 y2[1] (numeric) = -0.9964069452188286 absolute error = 3.885780586188048e-15 relative error = 3.899792755192686e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.486999999999947 y1[1] (analytic) = -0.08369829403791954 y1[1] (numeric) = -0.08369829403786762 absolute error = 5.191680418903388e-14 relative error = 6.202850940487862e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9964911417444422 y2[1] (numeric) = -0.9964911417444461 absolute error = 3.885780586188048e-15 relative error = 3.899463250005073e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.487999999999947 y1[1] (analytic) = -0.08270176121311351 y1[1] (numeric) = -0.08270176121306148 absolute error = 5.20278264914964e-14 relative error = 6.291017957577265e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9965743417790011 y2[1] (numeric) = -0.9965743417790048 absolute error = 3.774758283725532e-15 relative error = 3.787733765036685e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.488999999999947 y1[1] (analytic) = -0.08170514568655318 y1[1] (numeric) = -0.08170514568650103 absolute error = 5.215272658176673e-14 relative error = 6.383040644935768e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9966565452393011 y2[1] (numeric) = -0.9966565452393049 absolute error = 3.774758283725532e-15 relative error = 3.78742135568798e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.489999999999946 y1[1] (analytic) = -0.08070844845485396 y1[1] (numeric) = -0.0807084484548017 absolute error = 5.226374888422924e-14 relative error = 6.475623046261894e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9967377520431391 y2[1] (numeric) = -0.9967377520431427 absolute error = 3.663735981263017e-15 relative error = 3.675727114532378e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.490999999999946 y1[1] (analytic) = -0.07971167051471302 y1[1] (numeric) = -0.07971167051466065 absolute error = 5.237477118669176e-14 relative error = 6.570527357976337e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9968179621093081 y2[1] (numeric) = -0.9968179621093116 absolute error = 3.552713678800501e-15 relative error = 3.564054635695781e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.491999999999946 y1[1] (analytic) = -0.0787148128629082 y1[1] (numeric) = -0.07871481286285571 absolute error = 5.248579348915428e-14 relative error = 6.66784199570733e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9968971753575979 y2[1] (numeric) = -0.9968971753576015 absolute error = 3.552713678800501e-15 relative error = 3.563771436633978e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.492999999999946 y1[1] (analytic) = -0.07771787649629708 y1[1] (numeric) = -0.07771787649624448 absolute error = 5.259681579161679e-14 relative error = 6.76765992108943e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9969753917087956 y2[1] (numeric) = -0.996975391708799 absolute error = 3.441691376337985e-15 relative error = 3.45213272560218e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.493999999999946 y1[1] (analytic) = -0.07672086241181594 y1[1] (numeric) = -0.07672086241176324 absolute error = 5.270783809407931e-14 relative error = 6.870078937741667e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9970526110846846 y2[1] (numeric) = -0.997052611084688 absolute error = 3.441691376337985e-15 relative error = 3.451865366055057e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.494999999999946 y1[1] (analytic) = -0.07572377160647879 y1[1] (numeric) = -0.07572377160642596 absolute error = 5.283273818434964e-14 relative error = 6.977034696437302e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9971288334080456 y2[1] (numeric) = -0.9971288334080489 absolute error = 3.33066907387547e-15 relative error = 3.340259515404557e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.495999999999946 y1[1] (analytic) = -0.07472660507737633 y1[1] (numeric) = -0.0747266050773234 absolute error = 5.292988269900434e-14 relative error = 7.083137611322984e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9972040586026563 y2[1] (numeric) = -0.9972040586026596 absolute error = 3.33066907387547e-15 relative error = 3.34000753922182e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.496999999999946 y1[1] (analytic) = -0.07372936382167503 y1[1] (numeric) = -0.07372936382162198 absolute error = 5.304090500146685e-14 relative error = 7.194000090622488e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9972782865932914 y2[1] (numeric) = -0.9972782865932948 absolute error = 3.33066907387547e-15 relative error = 3.339758940559164e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.497999999999946 y1[1] (analytic) = -0.07273204883661605 y1[1] (numeric) = -0.0727320488365629 absolute error = 5.315192730392937e-14 relative error = 7.307910082847919e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9973515173057231 y2[1] (numeric) = -0.9973515173057265 absolute error = 3.33066907387547e-15 relative error = 3.339513718165331e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.498999999999945 y1[1] (analytic) = -0.07173466111951429 y1[1] (numeric) = -0.07173466111946103 absolute error = 5.326294960639189e-14 relative error = 7.424994943191072e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9974237506667206 y2[1] (numeric) = -0.997423750666724 absolute error = 3.33066907387547e-15 relative error = 3.339271870806273e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.499999999999945 y1[1] (analytic) = -0.07073720166775739 y1[1] (numeric) = -0.07073720166770402 absolute error = 5.33739719088544e-14 relative error = 7.545389222427031e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9974949866040506 y2[1] (numeric) = -0.9974949866040539 absolute error = 3.33066907387547e-15 relative error = 3.339033397265141e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.500999999999945 y1[1] (analytic) = -0.06973967147880472 y1[1] (numeric) = -0.06973967147875124 absolute error = 5.348499421131692e-14 relative error = 7.669235182384258e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.997565225046477 y2[1] (numeric) = -0.9975652250464804 absolute error = 3.33066907387547e-15 relative error = 3.338798296342269e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.501999999999945 y1[1] (analytic) = -0.06874207155018638 y1[1] (numeric) = -0.06874207155013279 absolute error = 5.359601651377943e-14 relative error = 7.796683356370879e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9976344659237616 y2[1] (numeric) = -0.9976344659237649 absolute error = 3.33066907387547e-15 relative error = 3.338566566855156e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.502999999999945 y1[1] (analytic) = -0.06774440287950223 y1[1] (numeric) = -0.06774440287944851 absolute error = 5.372091660404976e-14 relative error = 7.929941710402819e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9977027091666634 y2[1] (numeric) = -0.9977027091666667 absolute error = 3.33066907387547e-15 relative error = 3.338338207638455e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.503999999999945 y1[1] (analytic) = -0.06674666646442083 y1[1] (numeric) = -0.066746666464367 absolute error = 5.383193890651228e-14 relative error = 8.065112725173665e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9977699547069391 y2[1] (numeric) = -0.9977699547069424 absolute error = 3.33066907387547e-15 relative error = 3.338113217543958e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.504999999999945 y1[1] (analytic) = -0.06574886330267854 y1[1] (numeric) = -0.0657488633026246 absolute error = 5.394296120897479e-14 relative error = 8.204394494342112e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9978362024773433 y2[1] (numeric) = -0.9978362024773465 absolute error = 3.219646771412954e-15 relative error = 3.226628542259228e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.505999999999945 y1[1] (analytic) = -0.06475099439207842 y1[1] (numeric) = -0.06475099439202436 absolute error = 5.405398351143731e-14 relative error = 8.347977358329222e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9979014524116282 y2[1] (numeric) = -0.9979014524116313 absolute error = 3.108624468950438e-15 relative error = 3.115161784200059e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.506999999999945 y1[1] (analytic) = -0.06375306073048929 y1[1] (numeric) = -0.06375306073043513 absolute error = 5.416500581389982e-14 relative error = 8.496063591813706e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9979657044445438 y2[1] (numeric) = -0.9979657044445469 absolute error = 3.108624468950438e-15 relative error = 3.114961220717162e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.507999999999944 y1[1] (analytic) = -0.06275506331584477 y1[1] (numeric) = -0.06275506331579048 absolute error = 5.428990590417015e-14 relative error = 8.651079775177714e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9980289585118381 y2[1] (numeric) = -0.9980289585118411 absolute error = 2.997602166487923e-15 relative error = 3.003522233420611e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.508999999999944 y1[1] (analytic) = -0.06175700314614214 y1[1] (numeric) = -0.06175700314608774 absolute error = 5.440092820663267e-14 relative error = 8.808867891127746e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9980912145502571 y2[1] (numeric) = -0.9980912145502601 absolute error = 2.997602166487923e-15 relative error = 3.003334888423651e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y1[1] (analytic) = -0.06075888121944153 y1[1] (numeric) = -0.06075888121938701 absolute error = 5.451888940299909e-14 relative error = 8.972990994698275e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9981524724975447 y2[1] (numeric) = -0.9981524724975477 absolute error = 2.997602166487923e-15 relative error = 3.003150569759568e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.510999999999944 y1[1] (analytic) = -0.05976069853386475 y1[1] (numeric) = -0.05976069853381012 absolute error = 5.462991170546161e-14 relative error = 9.141444635976659e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.998212732292443 y2[1] (numeric) = -0.9982127322924459 absolute error = 2.886579864025407e-15 relative error = 2.89174819218769e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.511999999999944 y1[1] (analytic) = -0.05876245608759442 y1[1] (numeric) = -0.05876245608753968 absolute error = 5.474093400792412e-14 relative error = 9.315630702420674e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9982719938746922 y2[1] (numeric) = -0.998271993874695 absolute error = 2.775557561562891e-15 relative error = 2.780362044205852e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.512999999999944 y1[1] (analytic) = -0.0577641548788729 y1[1] (numeric) = -0.05776415487881805 absolute error = 5.485195631038664e-14 relative error = 9.495846762651868e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9983302571850308 y2[1] (numeric) = -0.9983302571850334 absolute error = 2.664535259100376e-15 relative error = 2.668991788963209e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.513999999999944 y1[1] (analytic) = -0.05676579590600132 y1[1] (numeric) = -0.05676579590594635 absolute error = 5.496297861284916e-14 relative error = 9.682411342186155e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9983875221651952 y2[1] (numeric) = -0.9983875221651979 absolute error = 2.664535259100376e-15 relative error = 2.668838702352589e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.514999999999944 y1[1] (analytic) = -0.05576738016733856 y1[1] (numeric) = -0.05576738016728348 absolute error = 5.508093980921558e-14 relative error = 9.876910058162459e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9984437887579207 y2[1] (numeric) = -0.9984437887579234 absolute error = 2.664535259100376e-15 relative error = 2.6686883018373e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.515999999999944 y1[1] (analytic) = -0.05476890866130028 y1[1] (numeric) = -0.05476890866124508 absolute error = 5.519196211167809e-14 relative error = 1.007724335954803e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9984990569069407 y2[1] (numeric) = -0.9984990569069433 absolute error = 2.55351295663786e-15 relative error = 2.557351395551539e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.516999999999944 y1[1] (analytic) = -0.0537703823863579 y1[1] (numeric) = -0.05377038238630259 absolute error = 5.530298441414061e-14 relative error = 1.028502717662866e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.998553326556987 y2[1] (numeric) = -0.9985533265569896 absolute error = 2.55351295663786e-15 relative error = 2.557212407916536e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.517999999999943 y1[1] (analytic) = -0.05277180234103761 y1[1] (numeric) = -0.05277180234098219 absolute error = 5.542094561050703e-14 relative error = 1.050199977108027e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.99860659765379 y2[1] (numeric) = -0.9986065976537924 absolute error = 2.442490654175344e-15 relative error = 2.445898775267394e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.518999999999943 y1[1] (analytic) = -0.05177316952391939 y1[1] (numeric) = -0.05177316952386386 absolute error = 5.553196791296955e-14 relative error = 1.072601280230942e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9986588701440785 y2[1] (numeric) = -0.9986588701440809 absolute error = 2.442490654175344e-15 relative error = 2.445770750349378e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y1[1] (analytic) = -0.05077448493363595 y1[1] (numeric) = -0.05077448493358031 absolute error = 5.564299021543206e-14 relative error = 1.095884877771964e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9987101439755801 y2[1] (numeric) = -0.9987101439755824 absolute error = 2.331468351712829e-15 relative error = 2.334479494152246e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.520999999999943 y1[1] (analytic) = -0.04977574956887181 y1[1] (numeric) = -0.04977574956881605 absolute error = 5.576095141179849e-14 relative error = 1.120243329226922e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.998760419097021 y2[1] (numeric) = -0.9987604190970233 absolute error = 2.331468351712829e-15 relative error = 2.334361982246662e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.521999999999943 y1[1] (analytic) = -0.04877696442836225 y1[1] (numeric) = -0.04877696442830638 absolute error = 5.5871973714261e-14 relative error = 1.145458196692807e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9988096954581259 y2[1] (numeric) = -0.9988096954581283 absolute error = 2.331468351712829e-15 relative error = 2.334246816300126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.522999999999943 y1[1] (analytic) = -0.04777813051089232 y1[1] (numeric) = -0.04777813051083634 absolute error = 5.598299601672352e-14 relative error = 1.171728475310701e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9988579730096186 y2[1] (numeric) = -0.998857973009621 absolute error = 2.331468351712829e-15 relative error = 2.334133995735125e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.523999999999943 y1[1] (analytic) = -0.04677924881529587 y1[1] (numeric) = -0.04677924881523977 absolute error = 5.610095721308994e-14 relative error = 1.199270160036132e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9989052517032216 y2[1] (numeric) = -0.9989052517032239 absolute error = 2.220446049250313e-15 relative error = 2.222879542843785e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.524999999999943 y1[1] (analytic) = -0.0457803203404545 y1[1] (numeric) = -0.04578032034039829 absolute error = 5.621197951555246e-14 relative error = 1.227863394085512e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9989515314916562 y2[1] (numeric) = -0.9989515314916584 absolute error = 2.220446049250313e-15 relative error = 2.222776560475056e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.525999999999943 y1[1] (analytic) = -0.04478134608529661 y1[1] (numeric) = -0.04478134608524029 absolute error = 5.632300181801497e-14 relative error = 1.257733559655276e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9989968123286425 y2[1] (numeric) = -0.9989968123286446 absolute error = 2.109423746787797e-15 relative error = 2.111542019709524e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.526999999999942 y1[1] (analytic) = -0.04378232704879636 y1[1] (numeric) = -0.04378232704873992 absolute error = 5.643402412047749e-14 relative error = 1.288968127655265e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9990410941688996 y2[1] (numeric) = -0.9990410941689017 absolute error = 2.109423746787797e-15 relative error = 2.111448426996512e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.527999999999942 y1[1] (analytic) = -0.04278326422997271 y1[1] (numeric) = -0.04278326422991616 absolute error = 5.654504642294e-14 relative error = 1.321662744548748e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9990843769681459 y2[1] (numeric) = -0.999084376968148 absolute error = 2.109423746787797e-15 relative error = 2.111356953843202e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.528999999999942 y1[1] (analytic) = -0.0417841586278884 y1[1] (numeric) = -0.04178415862783174 absolute error = 5.665606872540252e-14 relative error = 1.355922210375394e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9991266606830985 y2[1] (numeric) = -0.9991266606831005 absolute error = 1.998401444325282e-15 relative error = 2.000148252433764e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y1[1] (analytic) = -0.04078501124164894 y1[1] (numeric) = -0.04078501124159217 absolute error = 5.677402992176894e-14 relative error = 1.392031734045283e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9991679452714737 y2[1] (numeric) = -0.9991679452714756 absolute error = 1.887379141862766e-15 relative error = 1.888950852351419e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.530999999999942 y1[1] (analytic) = -0.03978582307040163 y1[1] (numeric) = -0.03978582307034475 absolute error = 5.688505222423146e-14 relative error = 1.429781963378575e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9992082306919868 y2[1] (numeric) = -0.9992082306919886 absolute error = 1.77635683940025e-15 relative error = 1.777764418703858e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.531999999999942 y1[1] (analytic) = -0.03878659511333458 y1[1] (numeric) = -0.03878659511327758 absolute error = 5.699607452669397e-14 relative error = 1.469478678397813e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9992475169043525 y2[1] (numeric) = -0.9992475169043543 absolute error = 1.77635683940025e-15 relative error = 1.777694524479146e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.532999999999942 y1[1] (analytic) = -0.03778732836967564 y1[1] (numeric) = -0.03778732836961853 absolute error = 5.710709682915649e-14 relative error = 1.51127638002016e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9992858038692846 y2[1] (numeric) = -0.9992858038692863 absolute error = 1.77635683940025e-15 relative error = 1.777626413306492e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.533999999999942 y1[1] (analytic) = -0.03678802383869148 y1[1] (numeric) = -0.03678802383863426 absolute error = 5.721811913161901e-14 relative error = 1.55534636441766e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9993230915484961 y2[1] (numeric) = -0.9993230915484977 absolute error = 1.665334536937735e-15 relative error = 1.666462579541942e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.534999999999942 y1[1] (analytic) = -0.03578868251968655 y1[1] (numeric) = -0.03578868251962922 absolute error = 5.732914143408152e-14 relative error = 1.60187906896394e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9993593799046993 y2[1] (numeric) = -0.9993593799047009 absolute error = 1.665334536937735e-15 relative error = 1.666402067589083e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.535999999999941 y1[1] (analytic) = -0.03478930541200208 y1[1] (numeric) = -0.03478930541194464 absolute error = 5.744016373654404e-14 relative error = 1.651086822697172e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9993946689016059 y2[1] (numeric) = -0.9993946689016074 absolute error = 1.554312234475219e-15 relative error = 1.555253677892339e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.536999999999941 y1[1] (analytic) = -0.03378989351501509 y1[1] (numeric) = -0.03378989351495754 absolute error = 5.755118603900655e-14 relative error = 1.703207085083969e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9994289585039269 y2[1] (numeric) = -0.9994289585039283 absolute error = 1.443289932012704e-15 relative error = 1.444114581363747e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.537999999999941 y1[1] (analytic) = -0.03279044782813741 y1[1] (numeric) = -0.03279044782807975 absolute error = 5.766220834146907e-14 relative error = 1.758506277306443e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9994622486773727 y2[1] (numeric) = -0.999462248677374 absolute error = 1.332267629550188e-15 relative error = 1.332984443697828e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.538999999999941 y1[1] (analytic) = -0.03179096935081464 y1[1] (numeric) = -0.03179096935075686 absolute error = 5.777323064393158e-14 relative error = 1.81728433651713e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.999494539388653 y2[1] (numeric) = -0.9994945393886543 absolute error = 1.332267629550188e-15 relative error = 1.332941378914464e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y1[1] (analytic) = -0.03079145908252516 y1[1] (numeric) = -0.03079145908246727 absolute error = 5.78842529463941e-14 relative error = 1.87988015739224e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9995258306054773 y2[1] (numeric) = -0.9995258306054785 absolute error = 1.221245327087672e-15 relative error = 1.221824678955906e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.540999999999941 y1[1] (analytic) = -0.02979191802277916 y1[1] (numeric) = -0.02979191802272117 absolute error = 5.799527524885661e-14 relative error = 1.946678129434732e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9995561222965542 y2[1] (numeric) = -0.9995561222965554 absolute error = 1.221245327087672e-15 relative error = 1.221787651384467e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.541999999999941 y1[1] (analytic) = -0.02879234717111763 y1[1] (numeric) = -0.02879234717105952 absolute error = 5.810629755131913e-14 relative error = 2.01811603638925e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9995854144315921 y2[1] (numeric) = -0.9995854144315933 absolute error = 1.221245327087672e-15 relative error = 1.221751847771934e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.542999999999941 y1[1] (analytic) = -0.02779274752711132 y1[1] (numeric) = -0.0277927475270531 absolute error = 5.821731985378165e-14 relative error = 2.094694660792054e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996137069812989 y2[1] (numeric) = -0.9996137069813001 absolute error = 1.221245327087672e-15 relative error = 1.221717267939104e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.543999999999941 y1[1] (analytic) = -0.0267931200903598 y1[1] (numeric) = -0.02679312009030147 absolute error = 5.833181160319612e-14 relative error = 2.177119029305735e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996409999173821 y2[1] (numeric) = -0.9996409999173832 absolute error = 1.110223024625157e-15 relative error = 1.110621737920827e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54499999999994 y1[1] (analytic) = -0.02579346586049043 y1[1] (numeric) = -0.02579346586043198 absolute error = 5.844283390565863e-14 relative error = 2.265799959639368e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996672932125487 y2[1] (numeric) = -0.9996672932125497 absolute error = 9.992007221626409e-16 relative error = 9.995332736670734e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54599999999994 y1[1] (analytic) = -0.02479378583715734 y1[1] (numeric) = -0.02479378583709878 absolute error = 5.855385620812115e-14 relative error = 2.36163434631145e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996925868405053 y2[1] (numeric) = -0.9996925868405062 absolute error = 8.881784197001252e-16 relative error = 8.884515413955236e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54699999999994 y1[1] (analytic) = -0.02379408102004048 y1[1] (numeric) = -0.02379408101998182 absolute error = 5.866487851058366e-14 relative error = 2.465524029323653e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9997168807759583 y2[1] (numeric) = -0.9997168807759592 absolute error = 8.881784197001252e-16 relative error = 8.884299512985523e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54799999999994 y1[1] (analytic) = -0.02279435240884459 y1[1] (numeric) = -0.02279435240878581 absolute error = 5.877590081304618e-14 relative error = 2.578529091716602e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.999740174994614 y2[1] (numeric) = -0.9997401749946148 absolute error = 7.771561172376096e-16 relative error = 7.773580943086502e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54899999999994 y1[1] (analytic) = -0.02179460100329818 y1[1] (numeric) = -0.02179460100323929 absolute error = 5.888692311550869e-14 relative error = 2.701904159961328e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9997624694731779 y2[1] (numeric) = -0.9997624694731786 absolute error = 6.661338147750939e-16 relative error = 6.662920794837511e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y1[1] (analytic) = -0.02079482780315259 y1[1] (numeric) = -0.02079482780309359 absolute error = 5.899794541797121e-14 relative error = 2.837145177467007e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9997837641893557 y2[1] (numeric) = -0.9997837641893563 absolute error = 6.661338147750939e-16 relative error = 6.662778879143015e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55099999999994 y1[1] (analytic) = -0.01979503380818093 y1[1] (numeric) = -0.01979503380812182 absolute error = 5.910896772043372e-14 relative error = 2.98605035450887e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998040591218527 y2[1] (numeric) = -0.9998040591218532 absolute error = 5.551115123125783e-16 relative error = 5.552203026662479e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55199999999994 y1[1] (analytic) = -0.01879522001817711 y1[1] (numeric) = -0.01879522001811789 absolute error = 5.921999002289624e-14 relative error = 3.150800574062118e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998233542503737 y2[1] (numeric) = -0.9998233542503743 absolute error = 5.551115123125783e-16 relative error = 5.552095877264019e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.55299999999994 y1[1] (analytic) = -0.01779538743295483 y1[1] (numeric) = -0.0177953874328955 absolute error = 5.933101232535876e-14 relative error = 3.334066906320069e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998416495556239 y2[1] (numeric) = -0.9998416495556244 absolute error = 4.440892098500626e-16 relative error = 4.441595427110248e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.553999999999939 y1[1] (analytic) = -0.01679553705234661 y1[1] (numeric) = -0.01679553705228717 absolute error = 5.944203462782127e-14 relative error = 3.539156529651801e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998589450193078 y2[1] (numeric) = -0.9998589450193083 absolute error = 4.440892098500626e-16 relative error = 4.441518596820544e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.554999999999939 y1[1] (analytic) = -0.01579566987620274 y1[1] (numeric) = -0.01579566987614318 absolute error = 5.955652637723574e-14 relative error = 3.770433722912995e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.99987524062413 y2[1] (numeric) = -0.9998752406241305 absolute error = 4.440892098500626e-16 relative error = 4.441446210557815e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.555999999999939 y1[1] (analytic) = -0.0147957869043903 y1[1] (numeric) = -0.01479578690433064 absolute error = 5.966581395622228e-14 relative error = 4.032621876874818e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.999890536353795 y2[1] (numeric) = -0.9998905363537953 absolute error = 3.33066907387547e-16 relative error = 3.331033700970009e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.556999999999939 y1[1] (analytic) = -0.0137958891367922 y1[1] (numeric) = -0.01379588913673242 absolute error = 5.97768362586848e-14 relative error = 4.332945536599465e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.999904832193007 y2[1] (numeric) = -0.9999048321930072 absolute error = 2.220446049250313e-16 relative error = 2.220657384343664e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.557999999999939 y1[1] (analytic) = -0.0127959775733061 y1[1] (numeric) = -0.01279597757324622 absolute error = 5.988612383767133e-14 relative error = 4.680074147879154e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999181281274699 y2[1] (numeric) = -0.9999181281274702 absolute error = 2.220446049250313e-16 relative error = 2.220627856211093e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.558999999999939 y1[1] (analytic) = -0.0117960532138435 y1[1] (numeric) = -0.01179605321378351 absolute error = 5.999714614013385e-14 relative error = 5.086205110512976e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999304241438882 y2[1] (numeric) = -0.9999304241438883 absolute error = 1.110223024625157e-16 relative error = 1.110300274717311e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y1[1] (analytic) = -0.01079611705832867 y1[1] (numeric) = -0.01079611705826857 absolute error = 6.010643371912039e-14 relative error = 5.567412190362575e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999417202299656 y2[1] (numeric) = -0.9999417202299657 absolute error = 1.110223024625157e-16 relative error = 1.110287731938846e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.560999999999939 y1[1] (analytic) = -0.009796170106697684 y1[1] (numeric) = -0.009796170106637466 absolute error = 6.02174560215829e-14 relative error = 6.147040666475562e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999520163744061 y2[1] (numeric) = -0.9999520163744062 absolute error = 1.110223024625157e-16 relative error = 1.110276299707428e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.561999999999939 y1[1] (analytic) = -0.008796213358897404 y1[1] (numeric) = -0.008796213358837075 absolute error = 6.032847832404542e-14 relative error = 6.858460096698647e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999613125669137 y2[1] (numeric) = -0.9999613125669137 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] = 1.562999999999938 y1[1] (analytic) = -0.007796247814884498 y1[1] (numeric) = -0.007796247814824059 absolute error = 6.043863326476995e-14 relative error = 7.752271951820372e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999696087981919 y2[1] (numeric) = -0.9999696087981919 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] = 1.563999999999938 y1[1] (analytic) = -0.006796274474624426 y1[1] (numeric) = -0.006796274474563877 absolute error = 6.054878820549447e-14 relative error = 8.909114608535657e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999769050599446 y2[1] (numeric) = -0.9999769050599445 absolute error = 1.110223024625157e-16 relative error = 1.110248665751539e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.564999999999938 y1[1] (analytic) = -0.005796294338090447 y1[1] (numeric) = -0.005796294338029788 absolute error = 6.0658943146219e-14 relative error = 1.046512471728665e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999832013448757 y2[1] (numeric) = -0.9999832013448755 absolute error = 2.220446049250313e-16 relative error = 2.220483350384325e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.565999999999938 y1[1] (analytic) = -0.004796308405262612 y1[1] (numeric) = -0.004796308405201843 absolute error = 6.076823072520554e-14 relative error = 1.266979217986261e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999884976466887 y2[1] (numeric) = -0.9999884976466885 absolute error = 2.220446049250313e-16 relative error = 2.220471589899058e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.566999999999938 y1[1] (analytic) = -0.003796317676126772 y1[1] (numeric) = -0.003796317676065894 absolute error = 6.087795198506107e-14 relative error = 1.603605313851721e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999927939600874 y2[1] (numeric) = -0.9999927939600872 absolute error = 2.220446049250313e-16 relative error = 2.22046204998847e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.567999999999938 y1[1] (analytic) = -0.002796323150673572 y1[1] (numeric) = -0.002796323150612584 absolute error = 6.09881069257856e-14 relative error = 2.181010692955674e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999960902807755 y2[1] (numeric) = -0.9999960902807753 absolute error = 2.220446049250313e-16 relative error = 2.22045473060486e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.568999999999938 y1[1] (analytic) = -0.001796325828897454 y1[1] (numeric) = -0.001796325828836357 absolute error = 6.109782818564113e-14 relative error = 3.401266474197593e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999983866054567 y2[1] (numeric) = -0.9999983866054564 absolute error = 3.33066907387547e-16 relative error = 3.330674447567449e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y1[1] (analytic) = -0.0007963267107956579 y1[1] (numeric) = -0.00079632671073445 absolute error = 6.120787470614841e-14 relative error = 7.686276734958688e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999996829318346 y2[1] (numeric) = -0.9999996829318342 absolute error = 4.440892098500626e-16 relative error = 4.440893506566583e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.570999999999938 y1[1] (analytic) = 0.0002036732036327834 y1[1] (numeric) = 0.000203673203694101 absolute error = 6.131765017611257e-14 relative error = 3.01058995893571e-08 % Correct digits = 9 h = 0.001 y2[1] (analytic) = -0.9999999792586128 y2[1] (numeric) = -0.9999999792586124 absolute error = 4.440892098500626e-16 relative error = 4.440892190610891e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.571999999999937 y1[1] (analytic) = 0.001203672914388038 y1[1] (numeric) = 0.001203672914449465 absolute error = 6.142742564607673e-14 relative error = 5.103332052404551e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999992755854952 y2[1] (numeric) = -0.9999992755854947 absolute error = 4.440892098500626e-16 relative error = 4.440895315549607e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.572999999999937 y1[1] (analytic) = 0.002203671421470478 y1[1] (numeric) = 0.002203671421532015 absolute error = 6.153671322506327e-14 relative error = 2.792463187819566e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999975719131853 y2[1] (numeric) = -0.9999975719131847 absolute error = 5.551115123125783e-16 relative error = 5.551128601747948e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.573999999999937 y1[1] (analytic) = 0.003203667724881681 y1[1] (numeric) = 0.003203667724943327 absolute error = 6.164600080404981e-14 relative error = 1.92423203958602e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999948682433868 y2[1] (numeric) = -0.9999948682433861 absolute error = 6.661338147750939e-16 relative error = 6.661372332292459e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.574999999999937 y1[1] (analytic) = 0.004203660824625426 y1[1] (numeric) = 0.004203660824687181 absolute error = 6.175528838303634e-14 relative error = 1.469083519328398e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999911645788034 y2[1] (numeric) = -0.9999911645788027 absolute error = 7.771561172376096e-16 relative error = 7.771629837999098e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.575999999999937 y1[1] (analytic) = 0.005203649720708696 y1[1] (numeric) = 0.005203649720770561 absolute error = 6.186457596202288e-14 relative error = 1.188868953185369e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = -0.9999864609231388 y2[1] (numeric) = -0.9999864609231379 absolute error = 8.881784197001252e-16 relative error = 8.881904449788272e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.576999999999937 y1[1] (analytic) = 0.006203633413142679 y1[1] (numeric) = 0.006203633413204653 absolute error = 6.197386354100942e-14 relative error = 9.989929999686149e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999807572810966 y2[1] (numeric) = -0.9999807572810956 absolute error = 9.992007221626409e-16 relative error = 9.99219949871259e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.577999999999937 y1[1] (analytic) = 0.007203610901943766 y1[1] (numeric) = 0.007203610902005849 absolute error = 6.208315111999596e-14 relative error = 8.618337659415214e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999740536583803 y2[1] (numeric) = -0.9999740536583793 absolute error = 9.992007221626409e-16 relative error = 9.992266484386168e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.578999999999937 y1[1] (analytic) = 0.008203581187134552 y1[1] (numeric) = 0.008203581187196744 absolute error = 6.219157133724451e-14 relative error = 7.581027104940196e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999663500616939 y2[1] (numeric) = -0.9999663500616928 absolute error = 1.110223024625157e-15 relative error = 1.110260384818609e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y1[1] (analytic) = 0.009203543268744833 y1[1] (numeric) = 0.009203543268807134 absolute error = 6.230085891623105e-14 relative error = 6.76922540558964e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999576464987406 y2[1] (numeric) = -0.9999576464987394 absolute error = 1.221245327087672e-15 relative error = 1.221297053293957e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.580999999999936 y1[1] (analytic) = 0.01020349614681261 y1[1] (numeric) = 0.01020349614687502 absolute error = 6.241014649521759e-14 relative error = 6.116545309297087e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999479429782242 y2[1] (numeric) = -0.999947942978223 absolute error = 1.221245327087672e-15 relative error = 1.221308904791924e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.581999999999936 y1[1] (analytic) = 0.0112034388213851 y1[1] (numeric) = 0.01120343882144762 absolute error = 6.251769935072815e-14 relative error = 5.580224103281084e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999372395098481 y2[1] (numeric) = -0.9999372395098468 absolute error = 1.332267629550188e-15 relative error = 1.332351248567602e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.582999999999936 y1[1] (analytic) = 0.01220337029251969 y1[1] (numeric) = 0.01220337029258232 absolute error = 6.262698692971469e-14 relative error = 5.131941867575975e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9999255361043159 y2[1] (numeric) = -0.9999255361043146 absolute error = 1.332267629550188e-15 relative error = 1.332366842775781e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.583999999999936 y1[1] (analytic) = 0.01320328956028501 y1[1] (numeric) = 0.01320328956034775 absolute error = 6.273627450870123e-14 relative error = 4.751563935809567e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.999912832773331 y2[1] (numeric) = -0.9999128327733294 absolute error = 1.554312234475219e-15 relative error = 1.554447731372965e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.584999999999936 y1[1] (analytic) = 0.01420319562476187 y1[1] (numeric) = 0.01420319562482472 absolute error = 6.284556208768777e-14 relative error = 4.424748046004711e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998991295295965 y2[1] (numeric) = -0.9998991295295949 absolute error = 1.554312234475219e-15 relative error = 1.554469034497957e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.585999999999936 y1[1] (analytic) = 0.01520308748604429 y1[1] (numeric) = 0.01520308748610725 absolute error = 6.295311494319833e-14 relative error = 4.14081120042138e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998844263868158 y2[1] (numeric) = -0.9998844263868142 absolute error = 1.665334536937735e-15 relative error = 1.665527027914207e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.586999999999936 y1[1] (analytic) = 0.01620296414424049 y1[1] (numeric) = 0.01620296414430356 absolute error = 6.306066779870889e-14 relative error = 3.891921702556161e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998687233596921 y2[1] (numeric) = -0.9998687233596903 absolute error = 1.77635683940025e-15 relative error = 1.77659006417508e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.587999999999936 y1[1] (analytic) = 0.0172028245994739 y1[1] (numeric) = 0.01720282459953707 absolute error = 6.317169010117141e-14 relative error = 3.672169633299833e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998520204639283 y2[1] (numeric) = -0.9998520204639265 absolute error = 1.77635683940025e-15 relative error = 1.776619742765561e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.588999999999936 y1[1] (analytic) = 0.01820266785188414 y1[1] (numeric) = 0.01820266785194742 absolute error = 6.328271240363392e-14 relative error = 3.47656249724315e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998343177162274 y2[1] (numeric) = -0.9998343177162256 absolute error = 1.887379141862766e-15 relative error = 1.887691898967646e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.589999999999935 y1[1] (analytic) = 0.01920249290162804 y1[1] (numeric) = 0.01920249290169143 absolute error = 6.339026525914448e-14 relative error = 3.301147699097447e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9998156151342921 y2[1] (numeric) = -0.9998156151342902 absolute error = 1.887379141862766e-15 relative error = 1.88772721019091e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.590999999999935 y1[1] (analytic) = 0.02020229874888065 y1[1] (numeric) = 0.02020229874894415 absolute error = 6.349781811465505e-14 relative error = 3.143098659412374e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.999795912736825 y2[1] (numeric) = -0.999795912736823 absolute error = 1.998401444325282e-15 relative error = 1.99880937586041e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.591999999999935 y1[1] (analytic) = 0.02120208439383619 y1[1] (numeric) = 0.02120208439389979 absolute error = 6.360884041711756e-14 relative error = 3.000122027417727e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9997752105435285 y2[1] (numeric) = -0.9997752105435264 absolute error = 2.109423746787797e-15 relative error = 2.109898029619086e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.592999999999935 y1[1] (analytic) = 0.0222018488367091 y1[1] (numeric) = 0.02220184883677281 absolute error = 6.371639327262812e-14 relative error = 2.869868799722563e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9997535085751047 y2[1] (numeric) = -0.9997535085751025 absolute error = 2.220446049250313e-15 relative error = 2.22099350510407e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.593999999999935 y1[1] (analytic) = 0.02320159107773502 y1[1] (numeric) = 0.02320159107779885 absolute error = 6.382394612813869e-14 relative error = 2.750843505270902e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9997308068532557 y2[1] (numeric) = -0.9997308068532533 absolute error = 2.331468351712829e-15 relative error = 2.332096136010191e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.594999999999935 y1[1] (analytic) = 0.0242013101171718 y1[1] (numeric) = 0.02420131011723574 absolute error = 6.393149898364925e-14 relative error = 2.641654467221891e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9997071054006831 y2[1] (numeric) = -0.9997071054006806 absolute error = 2.442490654175344e-15 relative error = 2.443206256092771e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.595999999999935 y1[1] (analytic) = 0.02520100495530048 y1[1] (numeric) = 0.02520100495536452 absolute error = 6.403905183915981e-14 relative error = 2.541130877627584e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996824042410885 y2[1] (numeric) = -0.9996824042410859 absolute error = 2.55351295663786e-15 relative error = 2.554324199170402e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.596999999999935 y1[1] (analytic) = 0.02620067459242631 y1[1] (numeric) = 0.02620067459249046 absolute error = 6.414660469467037e-14 relative error = 2.448280652789486e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996567033991728 y2[1] (numeric) = -0.9996567033991702 absolute error = 2.55351295663786e-15 relative error = 2.554389869997418e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.597999999999935 y1[1] (analytic) = 0.02720031802887973 y1[1] (numeric) = 0.02720031802894398 absolute error = 6.425415755018093e-14 relative error = 2.362257583972348e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996300029006371 y2[1] (numeric) = -0.9996300029006345 absolute error = 2.55351295663786e-15 relative error = 2.554458098724832e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.598999999999934 y1[1] (analytic) = 0.02819993426501738 y1[1] (numeric) = 0.02819993426508174 absolute error = 6.43617104056915e-14 relative error = 2.282335476417531e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9996023027721819 y2[1] (numeric) = -0.9996023027721792 absolute error = 2.664535259100376e-15 relative error = 2.665595358985129e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.599999999999934 y1[1] (analytic) = 0.02919952230122312 y1[1] (numeric) = 0.02919952230128759 absolute error = 6.446926326120206e-14 relative error = 2.207887601589344e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9995736030415071 y2[1] (numeric) = -0.9995736030415043 absolute error = 2.775557561562891e-15 relative error = 2.77674155571677e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.600999999999934 y1[1] (analytic) = 0.03019908113790899 y1[1] (numeric) = 0.03019908113797357 absolute error = 6.457681611671262e-14 relative error = 2.138370231260088e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9995439037373126 y2[1] (numeric) = -0.9995439037373097 absolute error = 2.886579864025407e-15 relative error = 2.887897023064653e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.601999999999934 y1[1] (analytic) = 0.03119860977551624 y1[1] (numeric) = 0.03119860977558092 absolute error = 6.468436897222318e-14 relative error = 2.073309337744453e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9995132048892976 y2[1] (numeric) = -0.9995132048892947 absolute error = 2.886579864025407e-15 relative error = 2.88798572135434e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.602999999999934 y1[1] (analytic) = 0.03219810721451631 y1[1] (numeric) = 0.0321981072145811 absolute error = 6.478845238078179e-14 relative error = 2.012182018934713e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.999481506528161 y2[1] (numeric) = -0.9994815065281581 absolute error = 2.886579864025407e-15 relative error = 2.888077313258498e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.603999999999934 y1[1] (analytic) = 0.03319757245541186 y1[1] (numeric) = 0.03319757245547675 absolute error = 6.48925357893404e-14 relative error = 1.954737379562874e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9994488086856013 y2[1] (numeric) = -0.9994488086855983 absolute error = 2.997602166487923e-15 relative error = 2.999255329975469e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.604999999999934 y1[1] (analytic) = 0.03419700449873771 y1[1] (numeric) = 0.03419700449880271 absolute error = 6.500355809180292e-14 relative error = 1.900855324746422e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9994151113943162 y2[1] (numeric) = -0.999415111394313 absolute error = 3.108624468950438e-15 relative error = 3.110443732047934e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.605999999999934 y1[1] (analytic) = 0.03519640234506191 y1[1] (numeric) = 0.03519640234512702 absolute error = 6.510764150036152e-14 relative error = 1.849837970996379e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9993804146880029 y2[1] (numeric) = -0.9993804146879997 absolute error = 3.219646771412954e-15 relative error = 3.221642854005796e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.606999999999934 y1[1] (analytic) = 0.0361957649949867 y1[1] (numeric) = 0.03619576499505192 absolute error = 6.521866380282404e-14 relative error = 1.801831341646106e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9993447186013581 y2[1] (numeric) = -0.9993447186013549 absolute error = 3.219646771412954e-15 relative error = 3.221757929455053e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.607999999999933 y1[1] (analytic) = 0.03719509144914952 y1[1] (numeric) = 0.03719509144921485 absolute error = 6.532274721138265e-14 relative error = 1.756219561946427e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9993080231700782 y2[1] (numeric) = -0.9993080231700748 absolute error = 3.33066907387547e-15 relative error = 3.33297541563779e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.608999999999933 y1[1] (analytic) = 0.03819438070822399 y1[1] (numeric) = 0.03819438070828941 absolute error = 6.542683061994126e-14 relative error = 1.712996242032368e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9992703284308582 y2[1] (numeric) = -0.9992703284308548 absolute error = 3.33066907387547e-15 relative error = 3.333101143016603e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y1[1] (analytic) = 0.03919363177292092 y1[1] (numeric) = 0.03919363177298646 absolute error = 6.553785292240377e-14 relative error = 1.672155652788579e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9992316344213932 y2[1] (numeric) = -0.9992316344213897 absolute error = 3.441691376337985e-15 relative error = 3.444337887011456e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.610999999999933 y1[1] (analytic) = 0.04019284364398935 y1[1] (numeric) = 0.040192843644055 absolute error = 6.564193633096238e-14 relative error = 1.633174724147163e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9991919411803769 y2[1] (numeric) = -0.9991919411803735 absolute error = 3.441691376337985e-15 relative error = 3.444474714510014e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.611999999999933 y1[1] (analytic) = 0.04119201532221749 y1[1] (numeric) = 0.04119201532228324 absolute error = 6.574601973952099e-14 relative error = 1.596086504271131e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9991512487475028 y2[1] (numeric) = -0.9991512487474993 absolute error = 3.552713678800501e-15 relative error = 3.555731610458421e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.612999999999933 y1[1] (analytic) = 0.04219114580843374 y1[1] (numeric) = 0.04219114580849959 absolute error = 6.58501031480796e-14 relative error = 1.560756454614147e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9991095571634632 y2[1] (numeric) = -0.9991095571634596 absolute error = 3.552713678800501e-15 relative error = 3.555879986662209e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.613999999999933 y1[1] (analytic) = 0.0431902341035077 y1[1] (numeric) = 0.04319023410357366 absolute error = 6.596112545054211e-14 relative error = 1.527223151707461e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9990668664699497 y2[1] (numeric) = -0.999066866469946 absolute error = 3.663735981263017e-15 relative error = 3.667157929286824e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.614999999999933 y1[1] (analytic) = 0.04418927920835115 y1[1] (numeric) = 0.04418927920841721 absolute error = 6.606520885910072e-14 relative error = 1.495050610524902e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9990231767096529 y2[1] (numeric) = -0.9990231767096492 absolute error = 3.663735981263017e-15 relative error = 3.667318303194694e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.615999999999933 y1[1] (analytic) = 0.04518828012391907 y1[1] (numeric) = 0.04518828012398524 absolute error = 6.616929226765933e-14 relative error = 1.464302073152693e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9989784879262628 y2[1] (numeric) = -0.998978487926259 absolute error = 3.774758283725532e-15 relative error = 3.77861818782644e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.616999999999932 y1[1] (analytic) = 0.04618723585121064 y1[1] (numeric) = 0.04618723585127692 absolute error = 6.627337567621794e-14 relative error = 1.434885081447904e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9989328001644678 y2[1] (numeric) = -0.9989328001644641 absolute error = 3.774758283725532e-15 relative error = 3.778791008868707e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.617999999999932 y1[1] (analytic) = 0.04718614539127021 y1[1] (numeric) = 0.04718614539133659 absolute error = 6.637745908477655e-14 relative error = 1.406715012094564e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.998886113469956 y2[1] (numeric) = -0.9988861134699522 absolute error = 3.885780586188048e-15 relative error = 3.890113731473876e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.618999999999932 y1[1] (analytic) = 0.04818500774518831 y1[1] (numeric) = 0.0481850077452548 absolute error = 6.648848138723906e-14 relative error = 1.379858269170425e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.998838427889414 y2[1] (numeric) = -0.99883842788941 absolute error = 3.996802888650564e-15 relative error = 4.001450862374178e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y1[1] (analytic) = 0.04918382191410269 y1[1] (numeric) = 0.04918382191416928 absolute error = 6.659256479579767e-14 relative error = 1.353952625155861e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9987897434705274 y2[1] (numeric) = -0.9987897434705233 absolute error = 4.107825191113079e-15 relative error = 4.112802737480548e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.620999999999932 y1[1] (analytic) = 0.05018258689919925 y1[1] (numeric) = 0.05018258689926594 absolute error = 6.668970931045237e-14 relative error = 1.328941241000801e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9987400602619805 y2[1] (numeric) = -0.9987400602619763 absolute error = 4.218847493575595e-15 relative error = 4.224169692831731e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.621999999999932 y1[1] (analytic) = 0.05118130170171309 y1[1] (numeric) = 0.05118130170177989 absolute error = 6.680073161291489e-14 relative error = 1.305178441967587e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9986893783134565 y2[1] (numeric) = -0.9986893783134523 absolute error = 4.218847493575595e-15 relative error = 4.224384062940774e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.622999999999932 y1[1] (analytic) = 0.0521799653229295 y1[1] (numeric) = 0.0521799653229964 absolute error = 6.69048150214735e-14 relative error = 1.282193550866034e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9986376976756375 y2[1] (numeric) = -0.9986376976756332 absolute error = 4.329869796038111e-15 relative error = 4.335776434352545e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.623999999999932 y1[1] (analytic) = 0.05317857676418493 y1[1] (numeric) = 0.05317857676425194 absolute error = 6.70088984300321e-14 relative error = 1.260073181859987e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.998585018400204 y2[1] (numeric) = -0.9985850184001996 absolute error = 4.329869796038111e-15 relative error = 4.33600516356117e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.624999999999932 y1[1] (analytic) = 0.05417713502686803 y1[1] (numeric) = 0.05417713502693514 absolute error = 6.711298183859071e-14 relative error = 1.238769488370092e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.625999999999932 y1[1] (analytic) = 0.05517563911242062 y1[1] (numeric) = 0.05517563911248784 absolute error = 6.721706524714932e-14 relative error = 1.218238090730481e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.626999999999931 y1[1] (analytic) = 0.05617408802233869 y1[1] (numeric) = 0.05617408802240602 absolute error = 6.732808754961184e-14 relative error = 1.198561292580977e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.627999999999931 y1[1] (analytic) = 0.05717248075817342 y1[1] (numeric) = 0.05717248075824086 absolute error = 6.743217095817045e-14 relative error = 1.179451548436269e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.628999999999931 y1[1] (analytic) = 0.05817081632153216 y1[1] (numeric) = 0.0581708163215997 absolute error = 6.753625436672905e-14 relative error = 1.160998910406046e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y1[1] (analytic) = 0.05916909371407943 y1[1] (numeric) = 0.05916909371414707 absolute error = 6.764033777528766e-14 relative error = 1.143170083052877e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.630999999999931 y1[1] (analytic) = 0.06016731193753791 y1[1] (numeric) = 0.06016731193760565 absolute error = 6.774442118384627e-14 relative error = 1.125933983126493e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.631999999999931 y1[1] (analytic) = 0.06116546999368946 y1[1] (numeric) = 0.06116546999375732 absolute error = 6.785544348630879e-14 relative error = 1.109375003466981e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.632999999999931 y1[1] (analytic) = 0.06216356688437612 y1[1] (numeric) = 0.06216356688444408 absolute error = 6.795952689486739e-14 relative error = 1.09323724974263e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.633999999999931 y1[1] (analytic) = 0.06316160161150108 y1[1] (numeric) = 0.06316160161156914 absolute error = 6.80566714095221e-14 relative error = 1.077500723115445e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.634999999999931 y1[1] (analytic) = 0.06415957317702969 y1[1] (numeric) = 0.06415957317709785 absolute error = 6.81538159241768e-14 relative error = 1.062254821055716e-10 % Correct digits = 11 h = 0.001 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 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63599999999993 y1[1] (analytic) = 0.06515748058299047 y1[1] (numeric) = 0.06515748058305873 absolute error = 6.826483822663931e-14 relative error = 1.047689960014507e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9978749935358022 y2[1] (numeric) = -0.9978749935357971 absolute error = 5.10702591327572e-15 relative error = 5.117901487018762e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63699999999993 y1[1] (analytic) = 0.0661553228314761 y1[1] (numeric) = 0.06615532283154446 absolute error = 6.836198274129401e-14 relative error = 1.03335574244629e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9978093371286236 y2[1] (numeric) = -0.9978093371286184 absolute error = 5.218048215738236e-15 relative error = 5.229504296636581e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63799999999993 y1[1] (analytic) = 0.0671530989246444 y1[1] (numeric) = 0.06715309892471287 absolute error = 6.847300504375653e-14 relative error = 1.019655178096744e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.997742682912191 y2[1] (numeric) = -0.9977426829121858 absolute error = 5.218048215738236e-15 relative error = 5.229853653757603e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63899999999993 y1[1] (analytic) = 0.06815080786471937 y1[1] (numeric) = 0.06815080786478796 absolute error = 6.858402734621905e-14 relative error = 1.006356776905119e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = -0.9976750309531587 y2[1] (numeric) = -0.9976750309531534 absolute error = 5.329070518200751e-15 relative error = 5.341489315523377e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y1[1] (analytic) = 0.06914844865399217 y1[1] (numeric) = 0.06914844865406085 absolute error = 6.868117186087375e-14 relative error = 9.932424110415463e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9976063813191786 y2[1] (numeric) = -0.9976063813191731 absolute error = 5.440092820663267e-15 relative error = 5.453145571773102e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64099999999993 y1[1] (analytic) = 0.07014602029482207 y1[1] (numeric) = 0.07014602029489085 absolute error = 6.877831637552845e-14 relative error = 9.80502045396942e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9975367340789002 y2[1] (numeric) = -0.9975367340788948 absolute error = 5.440092820663267e-15 relative error = 5.453526306163059e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64199999999993 y1[1] (analytic) = 0.07114352178963752 y1[1] (numeric) = 0.07114352178970641 absolute error = 6.888933867799096e-14 relative error = 9.683149912326256e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9974660893019709 y2[1] (numeric) = -0.9974660893019653 absolute error = 5.551115123125783e-15 relative error = 5.565216885729385e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64299999999993 y1[1] (analytic) = 0.07214095214093712 y1[1] (numeric) = 0.0721409521410061 absolute error = 6.898648319264566e-14 relative error = 9.562735332058167e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9973944470590355 y2[1] (numeric) = -0.9973944470590298 absolute error = 5.662137425588298e-15 relative error = 5.676928964547522e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.64399999999993 y1[1] (analytic) = 0.07313831035129058 y1[1] (numeric) = 0.07313831035135968 absolute error = 6.909750549510818e-14 relative error = 9.447511866657294e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.997321807421736 y2[1] (numeric) = -0.9973218074217303 absolute error = 5.773159728050814e-15 relative error = 5.788662882019511e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.644999999999929 y1[1] (analytic) = 0.07413559542333978 y1[1] (numeric) = 0.07413559542340899 absolute error = 6.92085277975707e-14 relative error = 9.335397848006234e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9972481704627123 y2[1] (numeric) = -0.9972481704627064 absolute error = 5.88418203051333e-15 relative error = 5.900418977738644e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.645999999999929 y1[1] (analytic) = 0.07513280635979974 y1[1] (numeric) = 0.07513280635986905 absolute error = 6.93056723122254e-14 relative error = 9.224422149271375e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9971735362556012 y2[1] (numeric) = -0.9971735362555952 absolute error = 5.995204332975845e-15 relative error = 6.01219759149236e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.646999999999929 y1[1] (analytic) = 0.0761299421634596 y1[1] (numeric) = 0.07612994216352902 absolute error = 6.941669461468791e-14 relative error = 9.118185649693837e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.997097904875037 y2[1] (numeric) = -0.9970979048750309 absolute error = 6.106226635438361e-15 relative error = 6.12399906326514e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.647999999999929 y1[1] (analytic) = 0.07712700183718364 y1[1] (numeric) = 0.07712700183725316 absolute error = 6.951383912934261e-14 relative error = 9.012905658654729e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9970212763966509 y2[1] (numeric) = -0.9970212763966448 absolute error = 6.106226635438361e-15 relative error = 6.124469738004954e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.648999999999929 y1[1] (analytic) = 0.07812398438391227 y1[1] (numeric) = 0.0781239843839819 absolute error = 6.962486143180513e-14 relative error = 8.912098119529944e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9969436508970716 y2[1] (numeric) = -0.9969436508970654 absolute error = 6.217248937900877e-15 relative error = 6.23630927616266e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y1[1] (analytic) = 0.07912088880666303 y1[1] (numeric) = 0.07912088880673275 absolute error = 6.972200594645983e-14 relative error = 8.812085783923639e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9968650284539244 y2[1] (numeric) = -0.9968650284539181 absolute error = 6.328271240363392e-15 relative error = 6.348172580773694e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.650999999999929 y1[1] (analytic) = 0.08011771410853158 y1[1] (numeric) = 0.0801177141086014 absolute error = 6.981915046111453e-14 relative error = 8.714570958244505e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9967854091458319 y2[1] (numeric) = -0.9967854091458255 absolute error = 6.439293542825908e-15 relative error = 6.460059992595482e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.651999999999929 y1[1] (analytic) = 0.08111445929269269 y1[1] (numeric) = 0.08111445929276262 absolute error = 6.993017276357705e-14 relative error = 8.621172275986163e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9967047930524133 y2[1] (numeric) = -0.9967047930524068 absolute error = 6.550315845288424e-15 relative error = 6.571971852596444e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.652999999999929 y1[1] (analytic) = 0.08211112336240127 y1[1] (numeric) = 0.0821111233624713 absolute error = 7.002731727823175e-14 relative error = 8.528359424479302e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9966231802542848 y2[1] (numeric) = -0.9966231802542781 absolute error = 6.661338147750939e-15 relative error = 6.683908501958908e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.653999999999928 y1[1] (analytic) = 0.08310770532099333 y1[1] (numeric) = 0.08310770532106346 absolute error = 7.012446179288645e-14 relative error = 8.437781012246614e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9965405708330589 y2[1] (numeric) = -0.9965405708330523 absolute error = 6.661338147750939e-15 relative error = 6.684462572539709e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.654999999999928 y1[1] (analytic) = 0.08410420417188699 y1[1] (numeric) = 0.08410420417195723 absolute error = 7.023548409534897e-14 relative error = 8.351007513465796e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9964569648713454 y2[1] (numeric) = -0.9964569648713386 absolute error = 6.772360450213455e-15 relative error = 6.796440477575315e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.655999999999928 y1[1] (analytic) = 0.08510061891858349 y1[1] (numeric) = 0.08510061891865384 absolute error = 7.034650639781148e-14 relative error = 8.266274357547576e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.99637236245275 y2[1] (numeric) = -0.9963723624527431 absolute error = 6.883382752675971e-15 relative error = 6.908444083827541e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.656999999999928 y1[1] (analytic) = 0.08609694856466817 y1[1] (numeric) = 0.08609694856473861 absolute error = 7.044365091246618e-14 relative error = 8.181898672001755e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9962867636618751 y2[1] (numeric) = -0.9962867636618682 absolute error = 6.883382752675971e-15 relative error = 6.909037642310872e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.657999999999928 y1[1] (analytic) = 0.08709319211381146 y1[1] (numeric) = 0.087093192113882 absolute error = 7.054079542712088e-14 relative error = 8.099461475121928e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9962001685843196 y2[1] (numeric) = -0.9962001685843126 absolute error = 6.994405055138486e-15 relative error = 7.021083990658321e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.658999999999928 y1[1] (analytic) = 0.08808934856976988 y1[1] (numeric) = 0.08808934856984053 absolute error = 7.06518177295834e-14 relative error = 8.020472267838905e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9961125773066785 y2[1] (numeric) = -0.9961125773066715 absolute error = 6.994405055138486e-15 relative error = 7.021701376414889e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y1[1] (analytic) = 0.08908541693638708 y1[1] (numeric) = 0.08908541693645784 absolute error = 7.076284003204591e-14 relative error = 7.943257433770029e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9960239899165432 y2[1] (numeric) = -0.9960239899165361 absolute error = 7.105427357601002e-15 relative error = 7.133791384077371e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.660999999999928 y1[1] (analytic) = 0.09008139621759477 y1[1] (numeric) = 0.09008139621766563 absolute error = 7.085998454670062e-14 relative error = 7.866217390273997e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9959344065025009 y2[1] (numeric) = -0.9959344065024938 absolute error = 7.105427357601002e-15 relative error = 7.134433062267298e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.661999999999928 y1[1] (analytic) = 0.09107728541741375 y1[1] (numeric) = 0.09107728541748471 absolute error = 7.095712906135532e-14 relative error = 7.790869999709992e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9958438271541351 y2[1] (numeric) = -0.9958438271541279 absolute error = 7.216449660063518e-15 relative error = 7.246567647746806e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.662999999999927 y1[1] (analytic) = 0.0920730835399549 y1[1] (numeric) = 0.09207308354002595 absolute error = 7.105427357601002e-14 relative error = 7.717160199720713e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9957522519620252 y2[1] (numeric) = -0.9957522519620179 absolute error = 7.327471962526033e-15 relative error = 7.358729993417559e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.663999999999927 y1[1] (analytic) = 0.09306878958942018 y1[1] (numeric) = 0.09306878958949134 absolute error = 7.116529587847253e-14 relative error = 7.646526423350243e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9956596810177463 y2[1] (numeric) = -0.9956596810177388 absolute error = 7.438494264988549e-15 relative error = 7.470920442801347e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.664999999999927 y1[1] (analytic) = 0.09406440257010362 y1[1] (numeric) = 0.0940644025701749 absolute error = 7.127631818093505e-14 relative error = 7.577395511316277e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9955661144138693 y2[1] (numeric) = -0.9955661144138618 absolute error = 7.549516567451064e-15 relative error = 7.583139339666834e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.665999999999927 y1[1] (analytic) = 0.09505992148639235 y1[1] (numeric) = 0.09505992148646372 absolute error = 7.137346269558975e-14 relative error = 7.508260219403477e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9954715522439609 y2[1] (numeric) = -0.9954715522439532 absolute error = 7.66053886991358e-15 relative error = 7.695387028032526e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.666999999999927 y1[1] (analytic) = 0.0960553453427675 y1[1] (numeric) = 0.09605534534283898 absolute error = 7.148448499805227e-14 relative error = 7.442010097716515e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9953759946025832 y2[1] (numeric) = -0.9953759946025754 absolute error = 7.771561172376096e-15 relative error = 7.807663852169745e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.667999999999927 y1[1] (analytic) = 0.0970506731438053 y1[1] (numeric) = 0.0970506731438769 absolute error = 7.159550730051478e-14 relative error = 7.377126297148686e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9952794415852938 y2[1] (numeric) = -0.995279441585286 absolute error = 7.771561172376096e-15 relative error = 7.808421281160449e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.668999999999927 y1[1] (analytic) = 0.09804590389417807 y1[1] (numeric) = 0.09804590389424976 absolute error = 7.169265181516948e-14 relative error = 7.312151652204469e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9951818932886458 y2[1] (numeric) = -0.9951818932886379 absolute error = 7.882583474838611e-15 relative error = 7.920746476596435e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y1[1] (analytic) = 0.0990410365986551 y1[1] (numeric) = 0.0990410365987269 absolute error = 7.1803674117632e-14 relative error = 7.249891215153844e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9950833498101874 y2[1] (numeric) = -0.9950833498101795 absolute error = 7.882583474838611e-15 relative error = 7.92153087109961e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.670999999999927 y1[1] (analytic) = 0.1000360702621038 y1[1] (numeric) = 0.1000360702621757 absolute error = 7.19008186322867e-14 relative error = 7.187489316993348e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9949838112484621 y2[1] (numeric) = -0.9949838112484543 absolute error = 7.882583474838611e-15 relative error = 7.922323344083248e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.671999999999926 y1[1] (analytic) = 0.1010310038894905 y1[1] (numeric) = 0.1010310038895626 absolute error = 7.201184093474922e-14 relative error = 7.127697257518792e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9948832777030087 y2[1] (numeric) = -0.9948832777030006 absolute error = 8.104628079763643e-15 relative error = 8.146310488277225e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.672999999999926 y1[1] (analytic) = 0.1020258364858818 y1[1] (numeric) = 0.102025836485954 absolute error = 7.210898544940392e-14 relative error = 7.067718132297032e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9947817492743602 y2[1] (numeric) = -0.9947817492743521 absolute error = 8.104628079763643e-15 relative error = 8.147141908941869e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.673999999999926 y1[1] (analytic) = 0.1030205670564451 y1[1] (numeric) = 0.1030205670565174 absolute error = 7.222000775186643e-14 relative error = 7.01025142992049e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9946792260640455 y2[1] (numeric) = -0.9946792260640374 absolute error = 8.104628079763643e-15 relative error = 8.147981648147743e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.674999999999926 y1[1] (analytic) = 0.10401519460645 y1[1] (numeric) = 0.1040151946065223 absolute error = 7.231715226652113e-14 relative error = 6.952556551005745e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9945757081745875 y2[1] (numeric) = -0.9945757081745793 absolute error = 8.215650382226158e-15 relative error = 8.260457514395662e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.675999999999926 y1[1] (analytic) = 0.1050097181412689 y1[1] (numeric) = 0.1050097181413413 absolute error = 7.242817456898365e-14 relative error = 6.89728301827708e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9944711957095044 y2[1] (numeric) = -0.994471195709496 absolute error = 8.326672684688674e-15 relative error = 8.372965170447213e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.676999999999926 y1[1] (analytic) = 0.1060041366663784 y1[1] (numeric) = 0.1060041366664509 absolute error = 7.252531908363835e-14 relative error = 6.841744234179627e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9943656887733082 y2[1] (numeric) = -0.9943656887732999 absolute error = 8.326672684688674e-15 relative error = 8.373853581936049e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.677999999999926 y1[1] (analytic) = 0.1069984491873601 y1[1] (numeric) = 0.1069984491874327 absolute error = 7.263634138610087e-14 relative error = 6.788541510439157e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9942591874715063 y2[1] (numeric) = -0.9942591874714979 absolute error = 8.43769498715119e-15 relative error = 8.486413898380998e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.678999999999926 y1[1] (analytic) = 0.1079926547099015 y1[1] (numeric) = 0.1079926547099742 absolute error = 7.273348590075557e-14 relative error = 6.735040091026384e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9941516919105997 y2[1] (numeric) = -0.9941516919105913 absolute error = 8.43769498715119e-15 relative error = 8.487331516717833e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y1[1] (analytic) = 0.1089867522397972 y1[1] (numeric) = 0.10898675223987 absolute error = 7.283063041541027e-14 relative error = 6.682521399955593e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9940432021980841 y2[1] (numeric) = -0.9940432021980755 absolute error = 8.548717289613705e-15 relative error = 8.599945425621646e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.680999999999925 y1[1] (analytic) = 0.1099807407829497 y1[1] (numeric) = 0.1099807407830226 absolute error = 7.292777493006497e-14 relative error = 6.630958694303589e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.993933718442449 y2[1] (numeric) = -0.9939337184424404 absolute error = 8.659739592076221e-15 relative error = 8.712592632078654e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.681999999999925 y1[1] (analytic) = 0.1109746193453706 y1[1] (numeric) = 0.1109746193454437 absolute error = 7.302491944471967e-14 relative error = 6.580326193095966e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9938232407531784 y2[1] (numeric) = -0.9938232407531696 absolute error = 8.770761894538737e-15 relative error = 8.825273484137613e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.682999999999925 y1[1] (analytic) = 0.1119683869331815 y1[1] (numeric) = 0.1119683869332546 absolute error = 7.312206395937437e-14 relative error = 6.530599034440934e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9937117692407499 y2[1] (numeric) = -0.993711769240741 absolute error = 8.881784197001252e-15 relative error = 8.937988330144687e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.683999999999925 y1[1] (analytic) = 0.1129620425526147 y1[1] (numeric) = 0.1129620425526879 absolute error = 7.321920847402907e-14 relative error = 6.481753234935137e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9935993040166349 y2[1] (numeric) = -0.9935993040166259 absolute error = 8.992806499463768e-15 relative error = 9.050737518746501e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.684999999999925 y1[1] (analytic) = 0.1139555852100148 y1[1] (numeric) = 0.1139555852100881 absolute error = 7.331635298868378e-14 relative error = 6.433765651202194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9934858451932987 y2[1] (numeric) = -0.9934858451932896 absolute error = 9.103828801926284e-15 relative error = 9.163521398893193e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.685999999999925 y1[1] (analytic) = 0.1149490139118391 y1[1] (numeric) = 0.1149490139119125 absolute error = 7.341349750333848e-14 relative error = 6.386613943434385e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9933713928842001 y2[1] (numeric) = -0.993371392884191 absolute error = 9.103828801926284e-15 relative error = 9.16457718345785e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.686999999999925 y1[1] (analytic) = 0.1159423276646591 y1[1] (numeric) = 0.1159423276647327 absolute error = 7.352451980580099e-14 relative error = 6.341473496931725e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9932559472037914 y2[1] (numeric) = -0.9932559472037822 absolute error = 9.214851104388799e-15 relative error = 9.27741850459632e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.687999999999925 y1[1] (analytic) = 0.1169355254751612 y1[1] (numeric) = 0.1169355254752348 absolute error = 7.360778653264788e-14 relative error = 6.294732608721483e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9931395082675183 y2[1] (numeric) = -0.993139508267509 absolute error = 9.325873406851315e-15 relative error = 9.390295451159555e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.688999999999925 y1[1] (analytic) = 0.1179286063501475 y1[1] (numeric) = 0.1179286063502212 absolute error = 7.370493104730258e-14 relative error = 6.249962017566945e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9930220761918196 y2[1] (numeric) = -0.9930220761918103 absolute error = 9.325873406851315e-15 relative error = 9.391405921825508e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.689999999999924 y1[1] (analytic) = 0.1189215692965373 y1[1] (numeric) = 0.1189215692966111 absolute error = 7.38159533497651e-14 relative error = 6.207112283029253e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9929036510941275 y2[1] (numeric) = -0.992903651094118 absolute error = 9.436895709313831e-15 relative error = 9.504341835096355e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.690999999999924 y1[1] (analytic) = 0.1199144133213677 y1[1] (numeric) = 0.1199144133214416 absolute error = 7.39130978644198e-14 relative error = 6.16382099675829e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9927842330928671 y2[1] (numeric) = -0.9927842330928576 absolute error = 9.547918011776346e-15 relative error = 9.617314310110738e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.691999999999924 y1[1] (analytic) = 0.1209071374317947 y1[1] (numeric) = 0.1209071374318687 absolute error = 7.402412016688231e-14 relative error = 6.122394569852445e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9926638223074563 y2[1] (numeric) = -0.9926638223074467 absolute error = 9.658940314238862e-15 relative error = 9.73032369789257e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.692999999999924 y1[1] (analytic) = 0.1218997406350944 y1[1] (numeric) = 0.1218997406351685 absolute error = 7.412126468153701e-14 relative error = 6.080510450257498e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9925424188583059 y2[1] (numeric) = -0.9925424188582962 absolute error = 9.658940314238862e-15 relative error = 9.731513868545058e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.693999999999924 y1[1] (analytic) = 0.1228922219386637 y1[1] (numeric) = 0.1228922219387379 absolute error = 7.42045314083839e-14 relative error = 6.038179653503204e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9924200228668193 y2[1] (numeric) = -0.9924200228668095 absolute error = 9.769962616701378e-15 relative error = 9.844584340891001e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.694999999999924 y1[1] (analytic) = 0.1238845803500212 y1[1] (numeric) = 0.1238845803500955 absolute error = 7.43016759230386e-14 relative error = 5.997653276389041e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9922966344553926 y2[1] (numeric) = -0.9922966344553827 absolute error = 9.880984919163893e-15 relative error = 9.957692665749014e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.695999999999924 y1[1] (analytic) = 0.1248768148768087 y1[1] (numeric) = 0.1248768148768831 absolute error = 7.441269822550112e-14 relative error = 5.958888229084755e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9921722537474142 y2[1] (numeric) = -0.9921722537474041 absolute error = 1.010302952408892e-14 relative error = 1.018273740868079e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.696999999999924 y1[1] (analytic) = 0.1258689245267917 y1[1] (numeric) = 0.1258689245268662 absolute error = 7.452372052796363e-14 relative error = 5.9207402310092e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9920468808672647 y2[1] (numeric) = -0.9920468808672546 absolute error = 1.010302952408892e-14 relative error = 1.018402428245798e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.697999999999924 y1[1] (analytic) = 0.1268609083078607 y1[1] (numeric) = 0.1268609083079353 absolute error = 7.460698725481052e-14 relative error = 5.881006864128499e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9919205159403169 y2[1] (numeric) = -0.9919205159403067 absolute error = 1.021405182655144e-14 relative error = 1.029724827988739e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.698999999999923 y1[1] (analytic) = 0.127852765228032 y1[1] (numeric) = 0.1278527652281067 absolute error = 7.471800955727304e-14 relative error = 5.844066761012921e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.991793159092936 y2[1] (numeric) = -0.9917931590929256 absolute error = 1.032507412901396e-14 relative error = 1.041051154099203e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.699999999999923 y1[1] (analytic) = 0.1288444942954487 y1[1] (numeric) = 0.1288444942955235 absolute error = 7.482903185973555e-14 relative error = 5.807701157035689e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9916648104524785 y2[1] (numeric) = -0.9916648104524681 absolute error = 1.032507412901396e-14 relative error = 1.041185894687824e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.700999999999923 y1[1] (analytic) = 0.1298360945183818 y1[1] (numeric) = 0.1298360945184567 absolute error = 7.494005416219807e-14 relative error = 5.771896824236983e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9915354701472933 y2[1] (numeric) = -0.9915354701472828 absolute error = 1.043609643147647e-14 relative error = 1.052518719267419e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.701999999999923 y1[1] (analytic) = 0.1308275649052312 y1[1] (numeric) = 0.1308275649053063 absolute error = 7.502332088904495e-14 relative error = 5.73451939913353e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9914051383067205 y2[1] (numeric) = -0.99140513830671 absolute error = 1.054711873393899e-14 relative error = 1.063855564835284e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.702999999999923 y1[1] (analytic) = 0.1318189044645267 y1[1] (numeric) = 0.1318189044646018 absolute error = 7.513434319150747e-14 relative error = 5.699815477659854e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.991273815061092 y2[1] (numeric) = -0.9912738150610814 absolute error = 1.06581410364015e-14 relative error = 1.075196466855593e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.703999999999923 y1[1] (analytic) = 0.1328101122049286 y1[1] (numeric) = 0.1328101122050038 absolute error = 7.521760991835436e-14 relative error = 5.66354539346312e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9911415005417311 y2[1] (numeric) = -0.9911415005417203 absolute error = 1.076916333886402e-14 relative error = 1.086541460828538e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.704999999999923 y1[1] (analytic) = 0.1338011871352294 y1[1] (numeric) = 0.1338011871353047 absolute error = 7.530087664520124e-14 relative error = 5.627818277060321e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9910081948809522 y2[1] (numeric) = -0.9910081948809414 absolute error = 1.076916333886402e-14 relative error = 1.086687617165234e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.705999999999923 y1[1] (analytic) = 0.1347921282643542 y1[1] (numeric) = 0.1347921282644297 absolute error = 7.541189894766376e-14 relative error = 5.59468122647088e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9908738982120611 y2[1] (numeric) = -0.9908738982120501 absolute error = 1.099120794378905e-14 relative error = 1.109243866815107e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.706999999999923 y1[1] (analytic) = 0.135782934601362 y1[1] (numeric) = 0.1357829346014376 absolute error = 7.552292125012627e-14 relative error = 5.562033363901733e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9907386106693542 y2[1] (numeric) = -0.9907386106693432 absolute error = 1.099120794378905e-14 relative error = 1.109395336511945e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.707999999999922 y1[1] (analytic) = 0.1367736051554466 y1[1] (numeric) = 0.1367736051555222 absolute error = 7.560618797697316e-14 relative error = 5.527834693766013e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9906023323881193 y2[1] (numeric) = -0.9906023323881082 absolute error = 1.110223024625157e-14 relative error = 1.120755512404921e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.708999999999922 y1[1] (analytic) = 0.1377641389359373 y1[1] (numeric) = 0.137764138936013 absolute error = 7.571721027943568e-14 relative error = 5.496148044350314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9904650635046346 y2[1] (numeric) = -0.9904650635046234 absolute error = 1.121325254871408e-14 relative error = 1.132119946668024e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y1[1] (analytic) = 0.1387545349523006 y1[1] (numeric) = 0.1387545349523764 absolute error = 7.580047700628256e-14 relative error = 5.4629188899909e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9903268041561688 y2[1] (numeric) = -0.9903268041561576 absolute error = 1.121325254871408e-14 relative error = 1.132278001731822e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.710999999999922 y1[1] (analytic) = 0.1397447922141405 y1[1] (numeric) = 0.1397447922142164 absolute error = 7.591149930874508e-14 relative error = 5.432152290327978e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9901875544809815 y2[1] (numeric) = -0.9901875544809702 absolute error = 1.13242748511766e-14 relative error = 1.143649483366043e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.711999999999922 y1[1] (analytic) = 0.1407349097311998 y1[1] (numeric) = 0.1407349097312759 absolute error = 7.602252161120759e-14 relative error = 5.401824021943717e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9900473146183222 y2[1] (numeric) = -0.9900473146183107 absolute error = 1.143529715363911e-14 relative error = 1.155025318971507e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.712999999999922 y1[1] (analytic) = 0.1417248865133612 y1[1] (numeric) = 0.1417248865134373 absolute error = 7.610578833805448e-14 relative error = 5.369966433586071e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9899060847084308 y2[1] (numeric) = -0.9899060847084192 absolute error = 1.154631945610163e-14 relative error = 1.166405544370657e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.713999999999922 y1[1] (analytic) = 0.1427147215706478 y1[1] (numeric) = 0.142714721570724 absolute error = 7.6216810640517e-14 relative error = 5.340500951948923e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9897638648925371 y2[1] (numeric) = -0.9897638648925255 absolute error = 1.154631945610163e-14 relative error = 1.166573145944792e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.714999999999922 y1[1] (analytic) = 0.1437044139132247 y1[1] (numeric) = 0.1437044139133011 absolute error = 7.632783294297951e-14 relative error = 5.311446660856898e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.989620655312861 y2[1] (numeric) = -0.9896206553128494 absolute error = 1.165734175856414e-14 relative error = 1.177960635318264e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.715999999999922 y1[1] (analytic) = 0.1446939625513998 y1[1] (numeric) = 0.1446939625514762 absolute error = 7.64110996698264e-14 relative error = 5.280876846722807e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9894764561126121 y2[1] (numeric) = -0.9894764561126004 absolute error = 1.176836406102666e-14 relative error = 1.189352610496808e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.716999999999921 y1[1] (analytic) = 0.1456833664956243 y1[1] (numeric) = 0.1456833664957008 absolute error = 7.649436639667329e-14 relative error = 5.250727535800791e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9893312674359896 y2[1] (numeric) = -0.9893312674359778 absolute error = 1.187938636348917e-14 relative error = 1.200749107452806e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.717999999999921 y1[1] (analytic) = 0.1466726247564945 y1[1] (numeric) = 0.1466726247565711 absolute error = 7.66053886991358e-14 relative error = 5.222882513101261e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9891850894281821 y2[1] (numeric) = -0.9891850894281702 absolute error = 1.187938636348917e-14 relative error = 1.200926549586012e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.718999999999921 y1[1] (analytic) = 0.1476617363447521 y1[1] (numeric) = 0.1476617363448288 absolute error = 7.668865542598269e-14 relative error = 5.193536072671829e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9890379222353676 y2[1] (numeric) = -0.9890379222353556 absolute error = 1.199040866595169e-14 relative error = 1.212330528120868e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y1[1] (analytic) = 0.1486507002712857 y1[1] (numeric) = 0.1486507002713625 absolute error = 7.67996777284452e-14 relative error = 5.166452467986141e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9888897660047132 y2[1] (numeric) = -0.9888897660047011 absolute error = 1.210143096841421e-14 relative error = 1.22373912486789e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.720999999999921 y1[1] (analytic) = 0.1496395155471314 y1[1] (numeric) = 0.1496395155472083 absolute error = 7.688294445529209e-14 relative error = 5.137877129191624e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9887406208843752 y2[1] (numeric) = -0.9887406208843631 absolute error = 1.210143096841421e-14 relative error = 1.223923717990885e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.721999999999921 y1[1] (analytic) = 0.150628181183474 y1[1] (numeric) = 0.150628181183551 absolute error = 7.696621118213898e-14 relative error = 5.109682038076897e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9885904870234988 y2[1] (numeric) = -0.9885904870234865 absolute error = 1.232347557333924e-14 relative error = 1.24657031754811e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.722999999999921 y1[1] (analytic) = 0.151616696191648 y1[1] (numeric) = 0.1516166961917251 absolute error = 7.707723348460149e-14 relative error = 5.083690346818636e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9884393645722177 y2[1] (numeric) = -0.9884393645722054 absolute error = 1.232347557333924e-14 relative error = 1.246760905629518e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.723999999999921 y1[1] (analytic) = 0.1526050595831385 y1[1] (numeric) = 0.1526050595832157 absolute error = 7.718825578706401e-14 relative error = 5.058040408221998e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9882872536816544 y2[1] (numeric) = -0.9882872536816421 absolute error = 1.232347557333924e-14 relative error = 1.246952799141216e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.724999999999921 y1[1] (analytic) = 0.1535932703695821 y1[1] (numeric) = 0.1535932703696593 absolute error = 7.72715225139109e-14 relative error = 5.030918498445744e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9881341545039198 y2[1] (numeric) = -0.9881341545039074 absolute error = 1.243449787580175e-14 relative error = 1.258381548611113e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72599999999992 y1[1] (analytic) = 0.1545813275627681 y1[1] (numeric) = 0.1545813275628454 absolute error = 7.735478924075778e-14 relative error = 5.004148331521329e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9879800671921131 y2[1] (numeric) = -0.9879800671921005 absolute error = 1.254552017826427e-14 relative error = 1.269815110128612e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72699999999992 y1[1] (analytic) = 0.1555692301746394 y1[1] (numeric) = 0.1555692301747169 absolute error = 7.74658115432203e-14 relative error = 4.979507287929528e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9878249919003215 y2[1] (numeric) = -0.9878249919003088 absolute error = 1.265654248072678e-14 relative error = 1.281253520057115e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72799999999992 y1[1] (analytic) = 0.1565569772172935 y1[1] (numeric) = 0.1565569772173711 absolute error = 7.757683384568281e-14 relative error = 4.955182146753506e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9876689287836202 y2[1] (numeric) = -0.9876689287836075 absolute error = 1.27675647831893e-14 relative error = 1.292696814803459e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72899999999992 y1[1] (analytic) = 0.1575445677029834 y1[1] (numeric) = 0.1575445677030611 absolute error = 7.768785614814533e-14 relative error = 4.931166925070317e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9875118779980725 y2[1] (numeric) = -0.9875118779980597 absolute error = 1.27675647831893e-14 relative error = 1.292902401242228e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y1[1] (analytic) = 0.1585320006441188 y1[1] (numeric) = 0.1585320006441966 absolute error = 7.777112287499222e-14 relative error = 4.905705003343585e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9873538397007291 y2[1] (numeric) = -0.9873538397007162 absolute error = 1.287858708565182e-14 relative error = 1.304353775497077e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73099999999992 y1[1] (analytic) = 0.1595192750532668 y1[1] (numeric) = 0.1595192750533446 absolute error = 7.78543896018391e-14 relative error = 4.88056315300091e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9871948140496283 y2[1] (numeric) = -0.9871948140496153 absolute error = 1.298960938811433e-14 relative error = 1.315810132230022e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73199999999992 y1[1] (analytic) = 0.1605063899431529 y1[1] (numeric) = 0.1605063899432309 absolute error = 7.796541190430162e-14 relative error = 4.857464673644138e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9870348012037957 y2[1] (numeric) = -0.9870348012037826 absolute error = 1.310063169057685e-14 relative error = 1.327271508015645e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73299999999992 y1[1] (analytic) = 0.1614933443266626 y1[1] (numeric) = 0.1614933443267406 absolute error = 7.80486786311485e-14 relative error = 4.832934691926041e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9868738013232442 y2[1] (numeric) = -0.986873801323231 absolute error = 1.321165399303936e-14 relative error = 1.338737939473577e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.73399999999992 y1[1] (analytic) = 0.1624801372168413 y1[1] (numeric) = 0.1624801372169195 absolute error = 7.815970093361102e-14 relative error = 4.810415738958993e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9867118145689735 y2[1] (numeric) = -0.9867118145689603 absolute error = 1.321165399303936e-14 relative error = 1.338957717741591e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.734999999999919 y1[1] (analytic) = 0.1634667676268964 y1[1] (numeric) = 0.1634667676269746 absolute error = 7.827072323607354e-14 relative error = 4.788173423403223e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9865488411029706 y2[1] (numeric) = -0.9865488411029573 absolute error = 1.332267629550188e-14 relative error = 1.350432511846753e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.735999999999919 y1[1] (analytic) = 0.1644532345701974 y1[1] (numeric) = 0.1644532345702758 absolute error = 7.835398996292042e-14 relative error = 4.76451498006108e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9863848810882087 y2[1] (numeric) = -0.9863848810881953 absolute error = 1.332267629550188e-14 relative error = 1.350656985010142e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.736999999999919 y1[1] (analytic) = 0.1654395370602776 y1[1] (numeric) = 0.1654395370603561 absolute error = 7.846501226538294e-14 relative error = 4.742821072860857e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.986219934688648 y2[1] (numeric) = -0.9862199346886344 absolute error = 1.354472090042691e-14 relative error = 1.37339759865055e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.737999999999919 y1[1] (analytic) = 0.1664256741108345 y1[1] (numeric) = 0.1664256741109131 absolute error = 7.857603456784545e-14 relative error = 4.721388991671811e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9860540020692347 y2[1] (numeric) = -0.9860540020692211 absolute error = 1.354472090042691e-14 relative error = 1.373628713235108e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.738999999999919 y1[1] (analytic) = 0.1674116447357312 y1[1] (numeric) = 0.1674116447358099 absolute error = 7.865930129469234e-14 relative error = 4.698556149953638e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9858870833959016 y2[1] (numeric) = -0.9858870833958878 absolute error = 1.376676550535194e-14 relative error = 1.396383595769622e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y1[1] (analytic) = 0.1683974479489971 y1[1] (numeric) = 0.1683974479490759 absolute error = 7.877032359715486e-14 relative error = 4.677643548435021e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9857191788355671 y2[1] (numeric) = -0.9857191788355534 absolute error = 1.376676550535194e-14 relative error = 1.396621451721642e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.740999999999919 y1[1] (analytic) = 0.1693830827648291 y1[1] (numeric) = 0.169383082764908 absolute error = 7.885359032400174e-14 relative error = 4.655340370294346e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.985550288556136 y2[1] (numeric) = -0.9855502885561221 absolute error = 1.387778780781446e-14 relative error = 1.408125792154744e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.741999999999919 y1[1] (analytic) = 0.1703685481975924 y1[1] (numeric) = 0.1703685481976714 absolute error = 7.896461262646426e-14 relative error = 4.634929009014127e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9853804127264986 y2[1] (numeric) = -0.9853804127264846 absolute error = 1.398881011027697e-14 relative error = 1.419635496058891e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.742999999999919 y1[1] (analytic) = 0.1713538432618218 y1[1] (numeric) = 0.1713538432619008 absolute error = 7.904787935331115e-14 relative error = 4.61313722812328e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9852095515165304 y2[1] (numeric) = -0.9852095515165163 absolute error = 1.409983241273949e-14 relative error = 1.431150600502771e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.743999999999919 y1[1] (analytic) = 0.1723389669722221 y1[1] (numeric) = 0.1723389669723012 absolute error = 7.915890165577366e-14 relative error = 4.593209710287554e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9850377050970929 y2[1] (numeric) = -0.9850377050970787 absolute error = 1.4210854715202e-14 relative error = 1.442671142603752e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.744999999999918 y1[1] (analytic) = 0.1733239183436698 y1[1] (numeric) = 0.1733239183437491 absolute error = 7.924216838262055e-14 relative error = 4.571911894208261e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9848648736400324 y2[1] (numeric) = -0.9848648736400181 absolute error = 1.432187701766452e-14 relative error = 1.454197159528218e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.745999999999918 y1[1] (analytic) = 0.1743086963912137 y1[1] (numeric) = 0.174308696391293 absolute error = 7.932543510946743e-14 relative error = 4.550859294560473e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9846910573181802 y2[1] (numeric) = -0.9846910573181659 absolute error = 1.432187701766452e-14 relative error = 1.454453852426603e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.746999999999918 y1[1] (analytic) = 0.1752933001300757 y1[1] (numeric) = 0.1752933001301551 absolute error = 7.940870183631432e-14 relative error = 4.530047741550272e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9845162563053529 y2[1] (numeric) = -0.9845162563053383 absolute error = 1.454392162258955e-14 relative error = 1.477265766760349e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.747999999999918 y1[1] (analytic) = 0.1762777285756521 y1[1] (numeric) = 0.1762777285757316 absolute error = 7.949196856316121e-14 relative error = 4.509473159511816e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9843404707763512 y2[1] (numeric) = -0.9843404707763366 absolute error = 1.465494392505207e-14 relative error = 1.488808431649029e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.748999999999918 y1[1] (analytic) = 0.1772619807435147 y1[1] (numeric) = 0.1772619807435943 absolute error = 7.960299086562372e-14 relative error = 4.490697358324317e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9841637009069608 y2[1] (numeric) = -0.984163700906946 absolute error = 1.476596622751458e-14 relative error = 1.500356720523927e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y1[1] (analytic) = 0.1782460556494113 y1[1] (numeric) = 0.1782460556494909 absolute error = 7.968625759247061e-14 relative error = 4.470576210067951e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9839859468739516 y2[1] (numeric) = -0.9839859468739367 absolute error = 1.48769885299771e-14 relative error = 1.511910670801769e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.750999999999918 y1[1] (analytic) = 0.1792299523092671 y1[1] (numeric) = 0.1792299523093468 absolute error = 7.97695243193175e-14 relative error = 4.450680441049977e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9838072088550774 y2[1] (numeric) = -0.9838072088550625 absolute error = 1.498801083243961e-14 relative error = 1.523470319950407e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.751999999999918 y1[1] (analytic) = 0.1802136697391855 y1[1] (numeric) = 0.1802136697392653 absolute error = 7.988054662178001e-14 relative error = 4.432546473160847e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9836274870290763 y2[1] (numeric) = -0.9836274870290613 absolute error = 1.498801083243961e-14 relative error = 1.523748678242921e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.752999999999918 y1[1] (analytic) = 0.1811972069554492 y1[1] (numeric) = 0.1811972069555291 absolute error = 7.99638133486269e-14 relative error = 4.413082005634201e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9834467815756702 y2[1] (numeric) = -0.9834467815756551 absolute error = 1.509903313490213e-14 relative error = 1.535317763784898e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.753999999999917 y1[1] (analytic) = 0.182180562974521 y1[1] (numeric) = 0.1821805629746011 absolute error = 8.004708007547379e-14 relative error = 4.393832073439625e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9832650926755646 y2[1] (numeric) = -0.9832650926755493 absolute error = 1.532107773982716e-14 relative error = 1.558183836073845e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.754999999999917 y1[1] (analytic) = 0.1831637368130451 y1[1] (numeric) = 0.1831637368131252 absolute error = 8.013034680232067e-14 relative error = 4.374793187589833e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9830824205104481 y2[1] (numeric) = -0.9830824205104327 absolute error = 1.543210004228968e-14 relative error = 1.569766656418984e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.755999999999917 y1[1] (analytic) = 0.1841467274878476 y1[1] (numeric) = 0.1841467274879278 absolute error = 8.021361352916756e-14 relative error = 4.355961934455833e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9828987652629931 y2[1] (numeric) = -0.9828987652629776 absolute error = 1.554312234475219e-14 relative error = 1.581355363753391e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.756999999999917 y1[1] (analytic) = 0.1851295340159379 y1[1] (numeric) = 0.1851295340160183 absolute error = 8.032463583163008e-14 relative error = 4.33883422537621e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9827141271168547 y2[1] (numeric) = -0.9827141271168391 absolute error = 1.554312234475219e-14 relative error = 1.58165247815797e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.757999999999917 y1[1] (analytic) = 0.1861121554145097 y1[1] (numeric) = 0.1861121554145901 absolute error = 8.040790255847696e-14 relative error = 4.320400372527639e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9825285062566711 y2[1] (numeric) = -0.9825285062566554 absolute error = 1.565414464721471e-14 relative error = 1.593250938525471e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.758999999999917 y1[1] (analytic) = 0.1870945907009416 y1[1] (numeric) = 0.1870945907010221 absolute error = 8.051892486093948e-14 relative error = 4.303647933341039e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9823419028680631 y2[1] (numeric) = -0.9823419028680473 absolute error = 1.576516694967722e-14 relative error = 1.604855387279007e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y1[1] (analytic) = 0.1880768388927983 y1[1] (numeric) = 0.1880768388928789 absolute error = 8.060219158778636e-14 relative error = 4.285599016991598e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9821543171376341 y2[1] (numeric) = -0.9821543171376182 absolute error = 1.587618925213974e-14 relative error = 1.616465862351337e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.760999999999917 y1[1] (analytic) = 0.1890588990078319 y1[1] (numeric) = 0.1890588990079126 absolute error = 8.068545831463325e-14 relative error = 4.267741890916799e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9819657492529699 y2[1] (numeric) = -0.9819657492529539 absolute error = 1.598721155460225e-14 relative error = 1.628082401729849e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.761999999999917 y1[1] (analytic) = 0.1900407700639822 y1[1] (numeric) = 0.1900407700640629 absolute error = 8.079648061709577e-14 relative error = 4.251534057133822e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9817761994026382 y2[1] (numeric) = -0.9817761994026221 absolute error = 1.609823385706477e-14 relative error = 1.639705043456924e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.762999999999916 y1[1] (analytic) = 0.1910224510793782 y1[1] (numeric) = 0.1910224510794591 absolute error = 8.087974734394265e-14 relative error = 4.234044055393969e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9815856677761888 y2[1] (numeric) = -0.9815856677761726 absolute error = 1.620925615952729e-14 relative error = 1.651333825630302e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.763999999999916 y1[1] (analytic) = 0.1920039410723391 y1[1] (numeric) = 0.1920039410724201 absolute error = 8.096301407078954e-14 relative error = 4.216737095010255e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9813941545641536 y2[1] (numeric) = -0.9813941545641373 absolute error = 1.63202784619898e-14 relative error = 1.66296878640344e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.764999999999916 y1[1] (analytic) = 0.1929852390613749 y1[1] (numeric) = 0.192985239061456 absolute error = 8.107403637325206e-14 relative error = 4.20104857592078e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9812016599580455 y2[1] (numeric) = -0.9812016599580291 absolute error = 1.643130076445232e-14 relative error = 1.674609963985883e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.765999999999916 y1[1] (analytic) = 0.1939663440651878 y1[1] (numeric) = 0.1939663440652689 absolute error = 8.115730310009894e-14 relative error = 4.184092013036229e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9810081841503593 y2[1] (numeric) = -0.9810081841503427 absolute error = 1.654232306691483e-14 relative error = 1.686257396643634e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.766999999999916 y1[1] (analytic) = 0.1949472551026727 y1[1] (numeric) = 0.194947255102754 absolute error = 8.126832540256146e-14 relative error = 4.168734017812148e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9808137273345706 y2[1] (numeric) = -0.980813727334554 absolute error = 1.665334536937735e-14 relative error = 1.697911122699513e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.767999999999916 y1[1] (analytic) = 0.1959279711929188 y1[1] (numeric) = 0.1959279711930002 absolute error = 8.137934770502397e-14 relative error = 4.153533934411769e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9806182897051364 y2[1] (numeric) = -0.9806182897051197 absolute error = 1.676436767183986e-14 relative error = 1.709571180533535e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.768999999999916 y1[1] (analytic) = 0.19690849135521 y1[1] (numeric) = 0.1969084913552915 absolute error = 8.143485885625523e-14 relative error = 4.135670244375194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9804218714574942 y2[1] (numeric) = -0.9804218714574773 absolute error = 1.687538997430238e-14 relative error = 1.721237608583277e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y1[1] (analytic) = 0.1978888146090263 y1[1] (numeric) = 0.1978888146091078 absolute error = 8.154588115871775e-14 relative error = 4.120792846216696e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9802244727880621 y2[1] (numeric) = -0.9802244727880451 absolute error = 1.69864122767649e-14 relative error = 1.732910445344246e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.770999999999916 y1[1] (analytic) = 0.1988689399740445 y1[1] (numeric) = 0.1988689399741261 absolute error = 8.160139230994901e-14 relative error = 4.103274866381812e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9800260938942391 y2[1] (numeric) = -0.9800260938942219 absolute error = 1.720845688168993e-14 relative error = 1.755918234106428e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.771999999999915 y1[1] (analytic) = 0.1998488664701392 y1[1] (numeric) = 0.1998488664702209 absolute error = 8.171241461241152e-14 relative error = 4.088710436825056e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9798267349744038 y2[1] (numeric) = -0.9798267349743864 absolute error = 1.731947918415244e-14 relative error = 1.767606308946539e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.772999999999915 y1[1] (analytic) = 0.2008285931173842 y1[1] (numeric) = 0.200828593117466 absolute error = 8.179568133925841e-14 relative error = 4.07291014041257e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9796263962279151 y2[1] (numeric) = -0.9796263962278977 absolute error = 1.743050148661496e-14 relative error = 1.779300920609295e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.773999999999915 y1[1] (analytic) = 0.2018081189360527 y1[1] (numeric) = 0.2018081189361346 absolute error = 8.187894806610529e-14 relative error = 4.057267294189012e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9794250778551119 y2[1] (numeric) = -0.9794250778550944 absolute error = 1.754152378907747e-14 relative error = 1.791002107837841e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.774999999999915 y1[1] (analytic) = 0.2027874429466192 y1[1] (numeric) = 0.2027874429467011 absolute error = 8.196221479295218e-14 relative error = 4.041779589603462e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9792227800573124 y2[1] (numeric) = -0.9792227800572948 absolute error = 1.765254609153999e-14 relative error = 1.802709909435196e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.775999999999915 y1[1] (analytic) = 0.2037665641697596 y1[1] (numeric) = 0.2037665641698416 absolute error = 8.204548151979907e-14 relative error = 4.026444763108746e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9790195030368145 y2[1] (numeric) = -0.9790195030367967 absolute error = 1.77635683940025e-14 relative error = 1.814424364264634e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.776999999999915 y1[1] (analytic) = 0.2047454816263528 y1[1] (numeric) = 0.2047454816264349 absolute error = 8.212874824664596e-14 relative error = 4.011260595070205e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9788152469968951 y2[1] (numeric) = -0.9788152469968773 absolute error = 1.787459069646502e-14 relative error = 1.826145511250063e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.777999999999915 y1[1] (analytic) = 0.2057241943374814 y1[1] (numeric) = 0.2057241943375636 absolute error = 8.221201497349284e-14 relative error = 3.996224908706056e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9786100121418103 y2[1] (numeric) = -0.9786100121417923 absolute error = 1.798561299892754e-14 relative error = 1.837873389376405e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.778999999999915 y1[1] (analytic) = 0.2067027013244328 y1[1] (numeric) = 0.2067027013245152 absolute error = 8.232303727595536e-14 relative error = 3.982678346653254e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9784037986767949 y2[1] (numeric) = -0.9784037986767768 absolute error = 1.809663530139005e-14 relative error = 1.849608037689976e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y1[1] (analytic) = 0.2076810016087002 y1[1] (numeric) = 0.2076810016087826 absolute error = 8.240630400280224e-14 relative error = 3.967926934311842e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9781966068080624 y2[1] (numeric) = -0.9781966068080442 absolute error = 1.820765760385257e-14 relative error = 1.861349495298873e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.780999999999914 y1[1] (analytic) = 0.2086590942119832 y1[1] (numeric) = 0.2086590942120657 absolute error = 8.248957072964913e-14 relative error = 3.953317780908481e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9779884367428046 y2[1] (numeric) = -0.9779884367427862 absolute error = 1.831867990631508e-14 relative error = 1.873097801373351e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.781999999999914 y1[1] (analytic) = 0.2096369781561895 y1[1] (numeric) = 0.209636978156272 absolute error = 8.257283745649602e-14 relative error = 3.938848870211025e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9777792886891915 y2[1] (numeric) = -0.9777792886891731 absolute error = 1.84297022087776e-14 relative error = 1.884852995146217e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.782999999999914 y1[1] (analytic) = 0.210614652463435 y1[1] (numeric) = 0.2106146524635177 absolute error = 8.26561041833429e-14 relative error = 3.924518223996448e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9775691628563713 y2[1] (numeric) = -0.9775691628563526 absolute error = 1.865174681370263e-14 relative error = 1.9079720926552e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.783999999999914 y1[1] (analytic) = 0.2115921161560456 y1[1] (numeric) = 0.2115921161561284 absolute error = 8.273937091018979e-14 relative error = 3.910323901159479e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9773580594544696 y2[1] (numeric) = -0.9773580594544509 absolute error = 1.876276911616515e-14 relative error = 1.919743632813335e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.784999999999914 y1[1] (analytic) = 0.2125693682565577 y1[1] (numeric) = 0.2125693682566406 absolute error = 8.285039321265231e-14 relative error = 3.8975697153438e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9771459786945899 y2[1] (numeric) = -0.9771459786945711 absolute error = 1.876276911616515e-14 relative error = 1.92016029592949e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.785999999999914 y1[1] (analytic) = 0.2135464077877193 y1[1] (numeric) = 0.2135464077878022 absolute error = 8.293365993949919e-14 relative error = 3.883636386051565e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.976932920788813 y2[1] (numeric) = -0.976932920788794 absolute error = 1.898481372109018e-14 relative error = 1.943307807230113e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.786999999999914 y1[1] (analytic) = 0.2145232337724908 y1[1] (numeric) = 0.2145232337725738 absolute error = 8.301692666634608e-14 relative error = 3.869833826688831e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9767188859501966 y2[1] (numeric) = -0.9767188859501776 absolute error = 1.898481372109018e-14 relative error = 1.943733657061508e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.787999999999914 y1[1] (analytic) = 0.2154998452340465 y1[1] (numeric) = 0.2154998452341296 absolute error = 8.310019339319297e-14 relative error = 3.856160235425733e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9765038743927758 y2[1] (numeric) = -0.9765038743927567 absolute error = 1.909583602355269e-14 relative error = 1.955531004465e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.788999999999914 y1[1] (analytic) = 0.2164762411957749 y1[1] (numeric) = 0.2164762411958581 absolute error = 8.321121569565548e-14 relative error = 3.843895996900725e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9762878863315619 y2[1] (numeric) = -0.9762878863315426 absolute error = 1.931788062847772e-14 relative error = 1.978707397575666e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.789999999999913 y1[1] (analytic) = 0.2174524206812801 y1[1] (numeric) = 0.2174524206813634 absolute error = 8.329448242250237e-14 relative error = 3.830469311932243e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.976070921982543 y2[1] (numeric) = -0.9760709219825237 absolute error = 1.931788062847772e-14 relative error = 1.979147231354898e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.790999999999913 y1[1] (analytic) = 0.2184283827143828 y1[1] (numeric) = 0.2184283827144662 absolute error = 8.337774914934926e-14 relative error = 3.817166437494256e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9758529815626835 y2[1] (numeric) = -0.9758529815626641 absolute error = 1.942890293094024e-14 relative error = 1.990966190401728e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.791999999999913 y1[1] (analytic) = 0.219404126319121 y1[1] (numeric) = 0.2194041263192044 absolute error = 8.348877145181177e-14 relative error = 3.805250742202462e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9756340652899238 y2[1] (numeric) = -0.9756340652899043 absolute error = 1.953992523340276e-14 relative error = 2.002792433000603e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.792999999999913 y1[1] (analytic) = 0.2203796505197511 y1[1] (numeric) = 0.2203796505198347 absolute error = 8.357203817865866e-14 relative error = 3.792184894637932e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.97541417338318 y2[1] (numeric) = -0.9754141733831604 absolute error = 1.965094753586527e-14 relative error = 2.01462599909809e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.793999999999913 y1[1] (analytic) = 0.2213549543407491 y1[1] (numeric) = 0.2213549543408327 absolute error = 8.365530490550555e-14 relative error = 3.779237973446412e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9751933060623442 y2[1] (numeric) = -0.9751933060623245 absolute error = 1.976196983832779e-14 relative error = 2.02646692870802e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.794999999999913 y1[1] (analytic) = 0.2223300368068112 y1[1] (numeric) = 0.2223300368068949 absolute error = 8.373857163235243e-14 relative error = 3.766408391553285e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9749714635482836 y2[1] (numeric) = -0.9749714635482637 absolute error = 1.98729921407903e-14 relative error = 2.038315261911882e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.795999999999913 y1[1] (analytic) = 0.223304896942855 y1[1] (numeric) = 0.2233048969429388 absolute error = 8.382183835919932e-14 relative error = 3.753694590076537e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9747486460628406 y2[1] (numeric) = -0.9747486460628206 absolute error = 1.998401444325282e-14 relative error = 2.05017103885923e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.796999999999913 y1[1] (analytic) = 0.2242795337740204 y1[1] (numeric) = 0.2242795337741043 absolute error = 8.393286066166183e-14 relative error = 3.742332581546693e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9745248538288328 y2[1] (numeric) = -0.9745248538288127 absolute error = 2.009503674571533e-14 relative error = 2.062034299768086e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.797999999999913 y1[1] (analytic) = 0.2252539463256708 y1[1] (numeric) = 0.2252539463257548 absolute error = 8.401612738850872e-14 relative error = 3.729840420510933e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9743000870700524 y2[1] (numeric) = -0.9743000870700322 absolute error = 2.020605904817785e-14 relative error = 2.073905084925342e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.798999999999912 y1[1] (analytic) = 0.2262281336233936 y1[1] (numeric) = 0.2262281336234777 absolute error = 8.409939411535561e-14 relative error = 3.717459573589442e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9740743460112662 y2[1] (numeric) = -0.9740743460112459 absolute error = 2.031708135064036e-14 relative error = 2.085783434687169e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.799999999999912 y1[1] (analytic) = 0.2272020946930017 y1[1] (numeric) = 0.2272020946930859 absolute error = 8.421041641781812e-14 relative error = 3.706410212969396e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9738476308782151 y2[1] (numeric) = -0.9738476308781947 absolute error = 2.042810365310288e-14 relative error = 2.097669389479423e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.800999999999912 y1[1] (analytic) = 0.228175828560534 y1[1] (numeric) = 0.2281758285606183 absolute error = 8.429368314466501e-14 relative error = 3.69424244787183e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9736199418976142 y2[1] (numeric) = -0.9736199418975938 absolute error = 2.042810365310288e-14 relative error = 2.098159946609957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.801999999999912 y1[1] (analytic) = 0.2291493342522567 y1[1] (numeric) = 0.2291493342523411 absolute error = 8.43769498715119e-14 relative error = 3.682181759194045e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9733912792971527 y2[1] (numeric) = -0.9733912792971321 absolute error = 2.065014825802791e-14 relative error = 2.121464276209518e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.802999999999912 y1[1] (analytic) = 0.2301226107946643 y1[1] (numeric) = 0.2301226107947488 absolute error = 8.443246102274315e-14 relative error = 3.669020646479682e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9731616433054929 y2[1] (numeric) = -0.9731616433054722 absolute error = 2.076117056049043e-14 relative error = 2.133373289351183e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.803999999999912 y1[1] (analytic) = 0.2310956572144803 y1[1] (numeric) = 0.2310956572145648 absolute error = 8.454348332520567e-14 relative error = 3.658376117675838e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.972931034152271 y2[1] (numeric) = -0.9729310341522501 absolute error = 2.087219286295294e-14 relative error = 2.145290069931749e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.804999999999912 y1[1] (analytic) = 0.2320684725386583 y1[1] (numeric) = 0.232068472538743 absolute error = 8.462675005205256e-14 relative error = 3.646628476772315e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9726994520680959 y2[1] (numeric) = -0.972699452068075 absolute error = 2.098321516541546e-14 relative error = 2.157214658731656e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.805999999999912 y1[1] (analytic) = 0.2330410557943831 y1[1] (numeric) = 0.2330410557944679 absolute error = 8.473777235451507e-14 relative error = 3.636173551723046e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9724668972845498 y2[1] (numeric) = -0.9724668972845287 absolute error = 2.109423746787797e-14 relative error = 2.169147096603502e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.806999999999912 y1[1] (analytic) = 0.2340134060090716 y1[1] (numeric) = 0.2340134060091564 absolute error = 8.479328350574633e-14 relative error = 3.623437005248293e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9722333700341875 y2[1] (numeric) = -0.9722333700341663 absolute error = 2.120525977034049e-14 relative error = 2.181087424472463e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.807999999999911 y1[1] (analytic) = 0.2349855222103735 y1[1] (numeric) = 0.2349855222104584 absolute error = 8.490430580820885e-14 relative error = 3.613171782225684e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9719988705505362 y2[1] (numeric) = -0.9719988705505149 absolute error = 2.131628207280301e-14 relative error = 2.193035683336705e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.808999999999911 y1[1] (analytic) = 0.2359574034261729 y1[1] (numeric) = 0.2359574034262578 absolute error = 8.49598169594401e-14 relative error = 3.600642138190956e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9717633990680954 y2[1] (numeric) = -0.971763399068074 absolute error = 2.142730437526552e-14 relative error = 2.204991914267809e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y1[1] (analytic) = 0.2369290486845884 y1[1] (numeric) = 0.2369290486846735 absolute error = 8.507083926190262e-14 relative error = 3.590561804650349e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9715269558223364 y2[1] (numeric) = -0.9715269558223149 absolute error = 2.153832667772804e-14 relative error = 2.216956158411189e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.810999999999911 y1[1] (analytic) = 0.237900457013975 y1[1] (numeric) = 0.2379004570140602 absolute error = 8.515410598874951e-14 relative error = 3.579400689581159e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9712895410497026 y2[1] (numeric) = -0.9712895410496809 absolute error = 2.164934898019055e-14 relative error = 2.228928456986516e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.811999999999911 y1[1] (analytic) = 0.2388716274429244 y1[1] (numeric) = 0.2388716274430097 absolute error = 8.523737271559639e-14 relative error = 3.568333905037042e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9710511549876086 y2[1] (numeric) = -0.9710511549875869 absolute error = 2.176037128265307e-14 relative error = 2.240908851288143e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.812999999999911 y1[1] (analytic) = 0.2398425590002663 y1[1] (numeric) = 0.2398425590003516 absolute error = 8.532063944244328e-14 relative error = 3.557360286601534e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9708117978744406 y2[1] (numeric) = -0.9708117978744187 absolute error = 2.187139358511558e-14 relative error = 2.252897382685527e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.813999999999911 y1[1] (analytic) = 0.2408132507150692 y1[1] (numeric) = 0.2408132507151546 absolute error = 8.540390616929017e-14 relative error = 3.546478689012852e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9705714699495557 y2[1] (numeric) = -0.9705714699495337 absolute error = 2.19824158875781e-14 relative error = 2.264894092623659e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.814999999999911 y1[1] (analytic) = 0.2417837016166414 y1[1] (numeric) = 0.2417837016167269 absolute error = 8.548717289613705e-14 relative error = 3.535687985771708e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9703301714532816 y2[1] (numeric) = -0.9703301714532595 absolute error = 2.209343819004062e-14 relative error = 2.276899022623491e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.815999999999911 y1[1] (analytic) = 0.2427539107345321 y1[1] (numeric) = 0.2427539107346177 absolute error = 8.557043962298394e-14 relative error = 3.524987068758741e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.970087902626917 y2[1] (numeric) = -0.9700879026268948 absolute error = 2.220446049250313e-14 relative error = 2.288912214282366e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81699999999991 y1[1] (analytic) = 0.2437238770985324 y1[1] (numeric) = 0.2437238770986181 absolute error = 8.565370634983083e-14 relative error = 3.514374847861248e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9698446637127306 y2[1] (numeric) = -0.9698446637127083 absolute error = 2.231548279496565e-14 relative error = 2.30093370927445e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81799999999991 y1[1] (analytic) = 0.2446935997386759 y1[1] (numeric) = 0.2446935997387616 absolute error = 8.576472865229334e-14 relative error = 3.504984549816058e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9696004549539613 y2[1] (numeric) = -0.9696004549539389 absolute error = 2.242650509742816e-14 relative error = 2.312963549351162e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81899999999991 y1[1] (analytic) = 0.24566307768524 y1[1] (numeric) = 0.2456630776853258 absolute error = 8.58202398035246e-14 relative error = 3.49341222181883e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9693552765948178 y2[1] (numeric) = -0.9693552765947953 absolute error = 2.253752739989068e-14 relative error = 2.325001776341614e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y1[1] (analytic) = 0.2466323099687469 y1[1] (numeric) = 0.2466323099688328 absolute error = 8.590350653037149e-14 relative error = 3.483059723247823e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9691091288804785 y2[1] (numeric) = -0.9691091288804559 absolute error = 2.264854970235319e-14 relative error = 2.337048432153039e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82099999999991 y1[1] (analytic) = 0.2476012956199644 y1[1] (numeric) = 0.2476012956200503 absolute error = 8.598677325721837e-14 relative error = 3.472791733254774e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9688620120570911 y2[1] (numeric) = -0.9688620120570683 absolute error = 2.275957200481571e-14 relative error = 2.349103558771234e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82199999999991 y1[1] (analytic) = 0.2485700336699068 y1[1] (numeric) = 0.2485700336699929 absolute error = 8.607003998406526e-14 relative error = 3.462607246469764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9686139263717725 y2[1] (numeric) = -0.9686139263717495 absolute error = 2.298161660974074e-14 relative error = 2.372629174951585e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82299999999991 y1[1] (analytic) = 0.2495385231498364 y1[1] (numeric) = 0.2495385231499225 absolute error = 8.612555113529652e-14 relative error = 3.451392997288122e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.968364872072608 y2[1] (numeric) = -0.968364872072585 absolute error = 2.298161660974074e-14 relative error = 2.373239392766571e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82399999999991 y1[1] (analytic) = 0.2505067630912636 y1[1] (numeric) = 0.2505067630913498 absolute error = 8.620881786214341e-14 relative error = 3.441376863375787e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9681148494086523 y2[1] (numeric) = -0.9681148494086291 absolute error = 2.320366121466577e-14 relative error = 2.396788070014536e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.82499999999991 y1[1] (analytic) = 0.2514747525259485 y1[1] (numeric) = 0.2514747525260349 absolute error = 8.631984016460592e-14 relative error = 3.432544989012325e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9678638586299279 y2[1] (numeric) = -0.9678638586299045 absolute error = 2.331468351712829e-14 relative error = 2.40888047520771e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.825999999999909 y1[1] (analytic) = 0.2524424904859019 y1[1] (numeric) = 0.2524424904859883 absolute error = 8.637535131583718e-14 relative error = 3.421585294519226e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9676118999874254 y2[1] (numeric) = -0.9676118999874019 absolute error = 2.34257058195908e-14 relative error = 2.420981575350121e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.826999999999909 y1[1] (analytic) = 0.2534099760033859 y1[1] (numeric) = 0.2534099760034724 absolute error = 8.648637361829969e-14 relative error = 3.412903271698512e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9673589737331035 y2[1] (numeric) = -0.96735897373308 absolute error = 2.353672812205332e-14 relative error = 2.433091412924356e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.827999999999909 y1[1] (analytic) = 0.254377208110915 y1[1] (numeric) = 0.2543772081110015 absolute error = 8.654188476953095e-14 relative error = 3.402108444078704e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9671050801198886 y2[1] (numeric) = -0.967105080119865 absolute error = 2.364775042451583e-14 relative error = 2.445210030494753e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.828999999999909 y1[1] (analytic) = 0.2553441858412571 y1[1] (numeric) = 0.2553441858413437 absolute error = 8.659739592076221e-14 relative error = 3.391398775556936e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9668502194016741 y2[1] (numeric) = -0.9668502194016504 absolute error = 2.375877272697835e-14 relative error = 2.457337470707845e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y1[1] (analytic) = 0.2563109082274347 y1[1] (numeric) = 0.2563109082275214 absolute error = 8.665290707199347e-14 relative error = 3.380773283168383e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.966594391833321 y2[1] (numeric) = -0.966594391833297 absolute error = 2.398081733190338e-14 relative error = 2.48095970083371e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.830999999999909 y1[1] (analytic) = 0.2572773743027255 y1[1] (numeric) = 0.2572773743028122 absolute error = 8.676392937445598e-14 relative error = 3.372388637345358e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9663375976706563 y2[1] (numeric) = -0.9663375976706323 absolute error = 2.398081733190338e-14 relative error = 2.481618990061943e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.831999999999909 y1[1] (analytic) = 0.2582435831006633 y1[1] (numeric) = 0.2582435831007502 absolute error = 8.68749516769185e-14 relative error = 3.364070101329668e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9660798371704746 y2[1] (numeric) = -0.9660798371704505 absolute error = 2.40918396343659e-14 relative error = 2.493773154911073e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.832999999999909 y1[1] (analytic) = 0.2592095336550396 y1[1] (numeric) = 0.2592095336551266 absolute error = 8.698597397938101e-14 relative error = 3.355816923583661e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9658211105905363 y2[1] (numeric) = -0.965821110590512 absolute error = 2.431388423929093e-14 relative error = 2.517431434525653e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.833999999999909 y1[1] (analytic) = 0.2601752249999038 y1[1] (numeric) = 0.2601752249999909 absolute error = 8.704148513061227e-14 relative error = 3.34549475764437e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9655614181895678 y2[1] (numeric) = -0.9655614181895434 absolute error = 2.431388423929093e-14 relative error = 2.518108509853218e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.834999999999908 y1[1] (analytic) = 0.2611406561695647 y1[1] (numeric) = 0.2611406561696518 absolute error = 8.709699628184353e-14 relative error = 3.335252256748923e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9653007602272616 y2[1] (numeric) = -0.9653007602272371 absolute error = 2.453592884421596e-14 relative error = 2.541791103369632e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.835999999999908 y1[1] (analytic) = 0.2621058261985912 y1[1] (numeric) = 0.2621058261986784 absolute error = 8.715250743307479e-14 relative error = 3.325088522337594e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9650391369642756 y2[1] (numeric) = -0.965039136964251 absolute error = 2.453592884421596e-14 relative error = 2.542480185974494e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.836999999999908 y1[1] (analytic) = 0.2630707341218134 y1[1] (numeric) = 0.2630707341219006 absolute error = 8.72635297355373e-14 relative error = 3.317112791996484e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9647765486622331 y2[1] (numeric) = -0.9647765486622084 absolute error = 2.464695114667848e-14 relative error = 2.554679752617758e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.837999999999908 y1[1] (analytic) = 0.2640353789743233 y1[1] (numeric) = 0.2640353789744107 absolute error = 8.737455203799982e-14 relative error = 3.309198652749363e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9645129955837223 y2[1] (numeric) = -0.9645129955836975 absolute error = 2.475797344914099e-14 relative error = 2.566888529496432e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.838999999999908 y1[1] (analytic) = 0.2649997597914763 y1[1] (numeric) = 0.2649997597915637 absolute error = 8.743006318923108e-14 relative error = 3.299250658114871e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9642484779922963 y2[1] (numeric) = -0.9642484779922714 absolute error = 2.486899575160351e-14 relative error = 2.579106560104126e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y1[1] (analytic) = 0.2659638756088916 y1[1] (numeric) = 0.2659638756089791 absolute error = 8.748557434046234e-14 relative error = 3.2893780834023e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9639829961524726 y2[1] (numeric) = -0.9639829961524476 absolute error = 2.498001805406602e-14 relative error = 2.591333888021708e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.840999999999908 y1[1] (analytic) = 0.2669277254624534 y1[1] (numeric) = 0.266927725462541 absolute error = 8.759659664292485e-14 relative error = 3.281659726098643e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9637165503297331 y2[1] (numeric) = -0.963716550329708 absolute error = 2.509104035652854e-14 relative error = 2.603570556917768e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.841999999999908 y1[1] (analytic) = 0.2678913083883119 y1[1] (numeric) = 0.2678913083883996 absolute error = 8.770761894538737e-14 relative error = 3.274000170929549e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9634491407905237 y2[1] (numeric) = -0.9634491407904985 absolute error = 2.520206265899105e-14 relative error = 2.615816610549095e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.842999999999908 y1[1] (analytic) = 0.2688546234228845 y1[1] (numeric) = 0.2688546234229723 absolute error = 8.776313009661862e-14 relative error = 3.264334047124605e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9631807678022537 y2[1] (numeric) = -0.9631807678022284 absolute error = 2.531308496145357e-14 relative error = 2.628072092761147e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.843999999999907 y1[1] (analytic) = 0.269817669602856 y1[1] (numeric) = 0.2698176696029439 absolute error = 8.787415239908114e-14 relative error = 3.256797545113442e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9629114316332962 y2[1] (numeric) = -0.9629114316332708 absolute error = 2.542410726391608e-14 relative error = 2.640337047488528e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.844999999999907 y1[1] (analytic) = 0.2707804459651804 y1[1] (numeric) = 0.2707804459652684 absolute error = 8.798517470154366e-14 relative error = 3.249317888813051e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9626411325529872 y2[1] (numeric) = -0.9626411325529617 absolute error = 2.55351295663786e-14 relative error = 2.652611518755465e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.845999999999907 y1[1] (analytic) = 0.2717429515470814 y1[1] (numeric) = 0.2717429515471695 absolute error = 8.809619700400617e-14 relative error = 3.241894463221905e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9623698708316261 y2[1] (numeric) = -0.9623698708316003 absolute error = 2.575717417130363e-14 relative error = 2.676431895051507e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.846999999999907 y1[1] (analytic) = 0.2727051853860535 y1[1] (numeric) = 0.2727051853861417 absolute error = 8.815170815523743e-14 relative error = 3.232491088515459e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9620976467404742 y2[1] (numeric) = -0.9620976467404483 absolute error = 2.586819647376615e-14 relative error = 2.68872879602252e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.847999999999907 y1[1] (analytic) = 0.273667146519863 y1[1] (numeric) = 0.2736671465199512 absolute error = 8.826273045769994e-14 relative error = 3.225185470017453e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9618244605517557 y2[1] (numeric) = -0.9618244605517298 absolute error = 2.597921877622866e-14 relative error = 2.701035359542171e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.848999999999907 y1[1] (analytic) = 0.2746288339865487 y1[1] (numeric) = 0.274628833986637 absolute error = 8.83182416089312e-14 relative error = 3.215912922430316e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9615503125386569 y2[1] (numeric) = -0.9615503125386308 absolute error = 2.609024107869118e-14 relative error = 2.713351630015957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y1[1] (analytic) = 0.2755902468244233 y1[1] (numeric) = 0.2755902468245117 absolute error = 8.842926391139372e-14 relative error = 3.208722548433704e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9612752029753256 y2[1] (numeric) = -0.9612752029752994 absolute error = 2.620126338115369e-14 relative error = 2.725677651941495e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.850999999999907 y1[1] (analytic) = 0.2765513840720741 y1[1] (numeric) = 0.2765513840721626 absolute error = 8.848477506262498e-14 relative error = 3.199578095026431e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9609991321368715 y2[1] (numeric) = -0.9609991321368452 absolute error = 2.631228568361621e-14 relative error = 2.738013469909008e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.851999999999907 y1[1] (analytic) = 0.2775122447683638 y1[1] (numeric) = 0.2775122447684524 absolute error = 8.859579736508749e-14 relative error = 3.192500476475817e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9607221002993653 y2[1] (numeric) = -0.9607221002993389 absolute error = 2.642330798607873e-14 relative error = 2.75035912860182e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.852999999999906 y1[1] (analytic) = 0.2784728279524319 y1[1] (numeric) = 0.2784728279525205 absolute error = 8.865130851631875e-14 relative error = 3.183481460943901e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9604441077398389 y2[1] (numeric) = -0.9604441077398124 absolute error = 2.653433028854124e-14 relative error = 2.762714672796842e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.853999999999906 y1[1] (analytic) = 0.2794331326636952 y1[1] (numeric) = 0.2794331326637839 absolute error = 8.870681966755001e-14 relative error = 3.174527616748687e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9601651547362848 y2[1] (numeric) = -0.9601651547362582 absolute error = 2.664535259100376e-14 relative error = 2.775080147365071e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.854999999999906 y1[1] (analytic) = 0.2803931579418492 y1[1] (numeric) = 0.280393157941938 absolute error = 8.876233081878127e-14 relative error = 3.16563825844815e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.959885241567656 y2[1] (numeric) = -0.9598852415676292 absolute error = 2.675637489346627e-14 relative error = 2.787455597272082e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.855999999999906 y1[1] (analytic) = 0.2813529028268686 y1[1] (numeric) = 0.2813529028269575 absolute error = 8.887335312124378e-14 relative error = 3.158785718160238e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9596043685138655 y2[1] (numeric) = -0.9596043685138387 absolute error = 2.686739719592879e-14 relative error = 2.799841067578526e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.856999999999906 y1[1] (analytic) = 0.2823123663590086 y1[1] (numeric) = 0.2823123663590976 absolute error = 8.892886427247504e-14 relative error = 3.150016608177437e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9593225358557865 y2[1] (numeric) = -0.9593225358557596 absolute error = 2.69784194983913e-14 relative error = 2.812236603440631e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.857999999999906 y1[1] (analytic) = 0.2832715475788058 y1[1] (numeric) = 0.2832715475788948 absolute error = 8.903988657493755e-14 relative error = 3.143269676604805e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9590397438752517 y2[1] (numeric) = -0.9590397438752245 absolute error = 2.720046410331634e-14 relative error = 2.83621865277509e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.858999999999906 y1[1] (analytic) = 0.284230445527079 y1[1] (numeric) = 0.2842304455271681 absolute error = 8.909539772616881e-14 relative error = 3.134618374922843e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9587559928550529 y2[1] (numeric) = -0.9587559928550256 absolute error = 2.731148640577885e-14 relative error = 2.848637881725123e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y1[1] (analytic) = 0.2851890592449304 y1[1] (numeric) = 0.2851890592450196 absolute error = 8.920642002863133e-14 relative error = 3.127974834126358e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.958471283078941 y2[1] (numeric) = -0.9584712830789136 absolute error = 2.742250870824137e-14 relative error = 2.861067325893249e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.860999999999906 y1[1] (analytic) = 0.2861473877737463 y1[1] (numeric) = 0.2861473877738355 absolute error = 8.926193117986259e-14 relative error = 3.119438967251417e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9581856148316261 y2[1] (numeric) = -0.9581856148315985 absolute error = 2.76445533131664e-14 relative error = 2.885093752740605e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.861999999999906 y1[1] (analytic) = 0.2871054301551982 y1[1] (numeric) = 0.2871054301552876 absolute error = 8.931744233109384e-14 relative error = 3.110963184597806e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9578989883987761 y2[1] (numeric) = -0.9578989883987484 absolute error = 2.76445533131664e-14 relative error = 2.885957042232296e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.862999999999905 y1[1] (analytic) = 0.288063185431244 y1[1] (numeric) = 0.2880631854313334 absolute error = 8.93729534823251e-14 relative error = 3.102546871740297e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9576114040670175 y2[1] (numeric) = -0.9576114040669897 absolute error = 2.775557561562891e-14 relative error = 2.898417405823466e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.863999999999905 y1[1] (analytic) = 0.2890206526441283 y1[1] (numeric) = 0.2890206526442177 absolute error = 8.942846463355636e-14 relative error = 3.094189422638589e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9573228621239347 y2[1] (numeric) = -0.9573228621239068 absolute error = 2.786659791809143e-14 relative error = 2.910888167474249e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.864999999999905 y1[1] (analytic) = 0.289977830836384 y1[1] (numeric) = 0.2899778308364735 absolute error = 8.953948693601887e-14 relative error = 3.087804563464726e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9570333628580696 y2[1] (numeric) = -0.9570333628580415 absolute error = 2.808864252301646e-14 relative error = 2.934970045258712e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.865999999999905 y1[1] (analytic) = 0.2909347190508331 y1[1] (numeric) = 0.2909347190509227 absolute error = 8.959499808725013e-14 relative error = 3.079556760346495e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9567429065589212 y2[1] (numeric) = -0.9567429065588932 absolute error = 2.808864252301646e-14 relative error = 2.935861068888585e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.866999999999905 y1[1] (analytic) = 0.2918913163305874 y1[1] (numeric) = 0.2918913163306771 absolute error = 8.965050923848139e-14 relative error = 3.071366094938772e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9564514935169462 y2[1] (numeric) = -0.9564514935169179 absolute error = 2.831068712794149e-14 relative error = 2.959971030401228e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.867999999999905 y1[1] (analytic) = 0.2928476217190497 y1[1] (numeric) = 0.2928476217191394 absolute error = 8.976153154094391e-14 relative error = 3.06512755726112e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9561591240235573 y2[1] (numeric) = -0.9561591240235289 absolute error = 2.842170943040401e-14 relative error = 2.972487394232487e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.868999999999905 y1[1] (analytic) = 0.2938036342599146 y1[1] (numeric) = 0.2938036342600044 absolute error = 8.987255384340642e-14 relative error = 3.05893268031873e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9558657983711241 y2[1] (numeric) = -0.9558657983710955 absolute error = 2.853273173286652e-14 relative error = 2.98501440071281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y1[1] (analytic) = 0.2947593529971698 y1[1] (numeric) = 0.2947593529972597 absolute error = 8.992806499463768e-14 relative error = 3.050897760502994e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.955571516852972 y2[1] (numeric) = -0.9555715168529434 absolute error = 2.864375403532904e-14 relative error = 2.997552096326902e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.870999999999905 y1[1] (analytic) = 0.2957147769750965 y1[1] (numeric) = 0.2957147769751865 absolute error = 8.998357614586894e-14 relative error = 3.042917809732818e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9552762797633829 y2[1] (numeric) = -0.9552762797633541 absolute error = 2.886579864025407e-14 relative error = 3.021722537421737e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.871999999999904 y1[1] (analytic) = 0.2966699052382709 y1[1] (numeric) = 0.296669905238361 absolute error = 9.009459844833145e-14 relative error = 3.036863424888744e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9549800873975935 y2[1] (numeric) = -0.9549800873975646 absolute error = 2.897682094271659e-14 relative error = 3.034285355800562e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.872999999999904 y1[1] (analytic) = 0.2976247368315648 y1[1] (numeric) = 0.297624736831655 absolute error = 9.015010959956271e-14 relative error = 3.028985781198069e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9546829400517963 y2[1] (numeric) = -0.9546829400517672 absolute error = 2.90878432451791e-14 relative error = 3.046859017256655e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.873999999999904 y1[1] (analytic) = 0.2985792708001467 y1[1] (numeric) = 0.2985792708002369 absolute error = 9.020562075079397e-14 relative error = 3.021161533051398e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9543848380231387 y2[1] (numeric) = -0.9543848380231095 absolute error = 2.919886554764162e-14 relative error = 3.059443568709932e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.874999999999904 y1[1] (analytic) = 0.2995335061894826 y1[1] (numeric) = 0.2995335061895729 absolute error = 9.031664305325648e-14 relative error = 3.015243409734698e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9540857816097226 y2[1] (numeric) = -0.9540857816096932 absolute error = 2.942091015256665e-14 relative error = 3.083675568765738e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.875999999999904 y1[1] (analytic) = 0.3004874420453373 y1[1] (numeric) = 0.3004874420454277 absolute error = 9.037215420448774e-14 relative error = 3.007518503580341e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9537857711106043 y2[1] (numeric) = -0.9537857711105747 absolute error = 2.953193245502916e-14 relative error = 3.096285701624767e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.876999999999904 y1[1] (analytic) = 0.301441077413775 y1[1] (numeric) = 0.3014410774138655 absolute error = 9.048317650695026e-14 relative error = 3.001687005741024e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9534848068257944 y2[1] (numeric) = -0.9534848068257648 absolute error = 2.964295475749168e-14 relative error = 3.108906879824837e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.877999999999904 y1[1] (analytic) = 0.3023944113411605 y1[1] (numeric) = 0.302394411341251 absolute error = 9.053868765818152e-14 relative error = 2.994059554759299e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9531828890562571 y2[1] (numeric) = -0.9531828890562274 absolute error = 2.97539770599542e-14 relative error = 3.121539150730402e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.878999999999904 y1[1] (analytic) = 0.3033474428741597 y1[1] (numeric) = 0.3033474428742504 absolute error = 9.064970996064403e-14 relative error = 2.988312975436851e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9528800181039103 y2[1] (numeric) = -0.9528800181038803 absolute error = 2.997602166487923e-14 relative error = 3.145833798102625e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y1[1] (analytic) = 0.3043001710597414 y1[1] (numeric) = 0.3043001710598321 absolute error = 9.070522111187529e-14 relative error = 2.980781141068359e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9525761942716248 y2[1] (numeric) = -0.9525761942715947 absolute error = 3.008704396734174e-14 relative error = 3.158492113100456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.880999999999903 y1[1] (analytic) = 0.3052525949451774 y1[1] (numeric) = 0.3052525949452681 absolute error = 9.076073226310655e-14 relative error = 2.973299286101301e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9522714178632242 y2[1] (numeric) = -0.9522714178631941 absolute error = 3.008704396734174e-14 relative error = 3.159502994939535e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.881999999999903 y1[1] (analytic) = 0.3062047135780439 y1[1] (numeric) = 0.3062047135781347 absolute error = 9.081624341433781e-14 relative error = 2.965866931084685e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9519656891834853 y2[1] (numeric) = -0.951965689183455 absolute error = 3.030908857226677e-14 relative error = 3.183842539352791e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.882999999999903 y1[1] (analytic) = 0.3071565260062222 y1[1] (numeric) = 0.3071565260063132 absolute error = 9.092726571680032e-14 relative error = 2.960290862091543e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9516590085381365 y2[1] (numeric) = -0.951659008538106 absolute error = 3.042011087472929e-14 relative error = 3.196534746353977e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.883999999999903 y1[1] (analytic) = 0.3081080312779003 y1[1] (numeric) = 0.3081080312779912 absolute error = 9.098277686803158e-14 relative error = 2.952950511892662e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9513513762338585 y2[1] (numeric) = -0.9513513762338278 absolute error = 3.064215547965432e-14 relative error = 3.220908304243831e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.884999999999903 y1[1] (analytic) = 0.3090592284415726 y1[1] (numeric) = 0.3090592284416637 absolute error = 9.109379917049409e-14 relative error = 2.947454429037226e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9510427925782834 y2[1] (numeric) = -0.9510427925782526 absolute error = 3.075317778211684e-14 relative error = 3.233627132460019e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.885999999999903 y1[1] (analytic) = 0.3100101165460424 y1[1] (numeric) = 0.3100101165461335 absolute error = 9.114931032172535e-14 relative error = 2.940204382271762e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9507332578799951 y2[1] (numeric) = -0.9507332578799642 absolute error = 3.086420008457935e-14 relative error = 3.246357464490334e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.886999999999903 y1[1] (analytic) = 0.3109606946404214 y1[1] (numeric) = 0.3109606946405126 absolute error = 9.126033262418787e-14 relative error = 2.934786749486669e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9504227724485281 y2[1] (numeric) = -0.9504227724484972 absolute error = 3.097522238704187e-14 relative error = 3.259099348728977e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.887999999999903 y1[1] (analytic) = 0.3119109617741316 y1[1] (numeric) = 0.311910961774223 absolute error = 9.131584377541913e-14 relative error = 2.92762534718305e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9501113365943679 y2[1] (numeric) = -0.9501113365943368 absolute error = 3.108624468950438e-14 relative error = 3.271852833682803e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.888999999999903 y1[1] (analytic) = 0.3128609169969061 y1[1] (numeric) = 0.3128609169969975 absolute error = 9.142686607788164e-14 relative error = 2.922284667432134e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9497989506289503 y2[1] (numeric) = -0.9497989506289189 absolute error = 3.130828929442941e-14 relative error = 3.296306999886374e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.889999999999902 y1[1] (analytic) = 0.3138105593587897 y1[1] (numeric) = 0.3138105593588812 absolute error = 9.14823772291129e-14 relative error = 2.915210291713548e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9494856148646611 y2[1] (numeric) = -0.9494856148646297 absolute error = 3.141931159689193e-14 relative error = 3.309087689692951e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.890999999999902 y1[1] (analytic) = 0.31475988791014 y1[1] (numeric) = 0.3147598879102316 absolute error = 9.159339953157541e-14 relative error = 2.909945105766595e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9491713296148362 y2[1] (numeric) = -0.9491713296148047 absolute error = 3.153033389935445e-14 relative error = 3.321880140664291e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.891999999999902 y1[1] (analytic) = 0.3157089017016287 y1[1] (numeric) = 0.3157089017017204 absolute error = 9.164891068280667e-14 relative error = 2.902956178581957e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9488560951937608 y2[1] (numeric) = -0.9488560951937292 absolute error = 3.164135620181696e-14 relative error = 3.334684401785463e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.892999999999902 y1[1] (analytic) = 0.316657599784242 y1[1] (numeric) = 0.3166575997843337 absolute error = 9.170442183403793e-14 relative error = 2.896012029918805e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9485399119166693 y2[1] (numeric) = -0.9485399119166376 absolute error = 3.175237850427948e-14 relative error = 3.34750052215715e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.893999999999902 y1[1] (analytic) = 0.3176059812092819 y1[1] (numeric) = 0.3176059812093737 absolute error = 9.175993298526919e-14 relative error = 2.889112246434846e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9482227800997449 y2[1] (numeric) = -0.9482227800997131 absolute error = 3.186340080674199e-14 relative error = 3.360328550996237e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.894999999999902 y1[1] (analytic) = 0.318554045028367 y1[1] (numeric) = 0.3185540450284589 absolute error = 9.18709552877317e-14 relative error = 2.883999017483851e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9479047000601195 y2[1] (numeric) = -0.9479047000600874 absolute error = 3.208544541166702e-14 relative error = 3.384880928392068e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.895999999999902 y1[1] (analytic) = 0.3195017902934337 y1[1] (numeric) = 0.3195017902935257 absolute error = 9.192646643896296e-14 relative error = 2.877181575556643e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.947585672115873 y2[1] (numeric) = -0.9475856721158408 absolute error = 3.219646771412954e-14 relative error = 3.39773686554776e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.896999999999902 y1[1] (analytic) = 0.3204492160567367 y1[1] (numeric) = 0.3204492160568287 absolute error = 9.203748874142548e-14 relative error = 2.87213961307148e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9472656965860333 y2[1] (numeric) = -0.947265696586001 absolute error = 3.230749001659206e-14 relative error = 3.410604873904858e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.897999999999902 y1[1] (analytic) = 0.3213963213708503 y1[1] (numeric) = 0.3213963213709425 absolute error = 9.214851104388799e-14 relative error = 2.867130235058303e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.946944773790576 y2[1] (numeric) = -0.9469447737905435 absolute error = 3.241851231905457e-14 relative error = 3.423485003173392e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.898999999999901 y1[1] (analytic) = 0.3223431052886694 y1[1] (numeric) = 0.3223431052887616 absolute error = 9.214851104388799e-14 relative error = 2.858708920154064e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9466229040504237 y2[1] (numeric) = -0.9466229040503912 absolute error = 3.252953462151709e-14 relative error = 3.436377303182634e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.899999999999901 y1[1] (analytic) = 0.32328956686341 y1[1] (numeric) = 0.3232895668635023 absolute error = 9.225953334635051e-14 relative error = 2.85377391672309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9463000876874464 y2[1] (numeric) = -0.9463000876874137 absolute error = 3.275157922644212e-14 relative error = 3.46101407498333e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.900999999999901 y1[1] (analytic) = 0.3242357051486108 y1[1] (numeric) = 0.3242357051487031 absolute error = 9.231504449758177e-14 relative error = 2.847158503264467e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9459763250244602 y2[1] (numeric) = -0.9459763250244274 absolute error = 3.275157922644212e-14 relative error = 3.46219861534011e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.901999999999901 y1[1] (analytic) = 0.3251815191981333 y1[1] (numeric) = 0.3251815191982257 absolute error = 9.242606680004428e-14 relative error = 2.842291500081498e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9456516163852278 y2[1] (numeric) = -0.9456516163851949 absolute error = 3.286260152890463e-14 relative error = 3.475127727748469e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.902999999999901 y1[1] (analytic) = 0.3261270080661638 y1[1] (numeric) = 0.3261270080662563 absolute error = 9.248157795127554e-14 relative error = 2.835753423172886e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9453259620944579 y2[1] (numeric) = -0.9453259620944248 absolute error = 3.308464613382966e-14 relative error = 3.49981355219818e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.903999999999901 y1[1] (analytic) = 0.3270721708072134 y1[1] (numeric) = 0.3270721708073059 absolute error = 9.25370891025068e-14 relative error = 2.829255967394764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9449993624778046 y2[1] (numeric) = -0.9449993624777714 absolute error = 3.319566843629218e-14 relative error = 3.512771516506907e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.904999999999901 y1[1] (analytic) = 0.3280170064761194 y1[1] (numeric) = 0.3280170064762121 absolute error = 9.264811140496931e-14 relative error = 2.824491095760133e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9446718178618675 y2[1] (numeric) = -0.9446718178618343 absolute error = 3.319566843629218e-14 relative error = 3.513989494407268e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.905999999999901 y1[1] (analytic) = 0.3289615141280464 y1[1] (numeric) = 0.3289615141281391 absolute error = 9.270362255620057e-14 relative error = 2.818068940432838e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9443433285741913 y2[1] (numeric) = -0.944343328574158 absolute error = 3.33066907387547e-14 relative error = 3.526968394963145e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.906999999999901 y1[1] (analytic) = 0.3299056928184865 y1[1] (numeric) = 0.3299056928185793 absolute error = 9.281464485866309e-14 relative error = 2.813368998446763e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9440138949432654 y2[1] (numeric) = -0.9440138949432318 absolute error = 3.352873534367973e-14 relative error = 3.551720533276132e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9079999999999 y1[1] (analytic) = 0.3308495416032614 y1[1] (numeric) = 0.3308495416033543 absolute error = 9.29256671611256e-14 relative error = 2.808698682513441e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9436835172985231 y2[1] (numeric) = -0.9436835172984894 absolute error = 3.363975764614224e-14 relative error = 3.56472874957513e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9089999999999 y1[1] (analytic) = 0.3317930595385222 y1[1] (numeric) = 0.3317930595386152 absolute error = 9.29256671611256e-14 relative error = 2.800711602900079e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.943352195970342 y2[1] (numeric) = -0.9433521959703083 absolute error = 3.375077994860476e-14 relative error = 3.577749656255196e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y1[1] (analytic) = 0.3327362456807512 y1[1] (numeric) = 0.3327362456808441 absolute error = 9.298117831235686e-14 relative error = 2.79444092789245e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9430199312900437 y2[1] (numeric) = -0.9430199312900098 absolute error = 3.386180225106727e-14 relative error = 3.590783304520892e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9109999999999 y1[1] (analytic) = 0.3336790990867621 y1[1] (numeric) = 0.3336790990868552 absolute error = 9.309220061481938e-14 relative error = 2.789872091767242e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9426867235898927 y2[1] (numeric) = -0.9426867235898587 absolute error = 3.397282455352979e-14 relative error = 3.603829745703447e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9119999999999 y1[1] (analytic) = 0.3346216188137018 y1[1] (numeric) = 0.334621618813795 absolute error = 9.314771176605063e-14 relative error = 2.783672857010173e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9423525732030966 y2[1] (numeric) = -0.9423525732030625 absolute error = 3.408384685599231e-14 relative error = 3.616889031261395e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9129999999999 y1[1] (analytic) = 0.3355638039190506 y1[1] (numeric) = 0.3355638039191438 absolute error = 9.320322291728189e-14 relative error = 2.777511216310019e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.942017480463806 y2[1] (numeric) = -0.9420174804637717 absolute error = 3.430589146091734e-14 relative error = 3.64174680113438e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9139999999999 y1[1] (analytic) = 0.3365056534606234 y1[1] (numeric) = 0.3365056534607167 absolute error = 9.331424521974441e-14 relative error = 2.773036478290956e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9416814457071132 y2[1] (numeric) = -0.9416814457070788 absolute error = 3.441691376337985e-14 relative error = 3.654836135964857e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9149999999999 y1[1] (analytic) = 0.3374471664965708 y1[1] (numeric) = 0.3374471664966642 absolute error = 9.336975637097567e-14 relative error = 2.76694444764065e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9413444692690532 y2[1] (numeric) = -0.9413444692690187 absolute error = 3.452793606584237e-14 relative error = 3.667938485117254e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.9159999999999 y1[1] (analytic) = 0.3383883420853798 y1[1] (numeric) = 0.3383883420854732 absolute error = 9.342526752220692e-14 relative error = 2.760889070422955e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9410065514866025 y2[1] (numeric) = -0.9410065514865679 absolute error = 3.463895836830488e-14 relative error = 3.681053900589985e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.916999999999899 y1[1] (analytic) = 0.339329179285875 y1[1] (numeric) = 0.3393291792859685 absolute error = 9.348077867343818e-14 relative error = 2.754870031223673e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9406676926976787 y2[1] (numeric) = -0.9406676926976439 absolute error = 3.47499806707674e-14 relative error = 3.694182434512046e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.917999999999899 y1[1] (analytic) = 0.3402696771572191 y1[1] (numeric) = 0.3402696771573127 absolute error = 9.353628982466944e-14 relative error = 2.748887018264977e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9403278932411406 y2[1] (numeric) = -0.9403278932411057 absolute error = 3.497202527569243e-14 relative error = 3.719130903918011e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.918999999999899 y1[1] (analytic) = 0.3412098347589144 y1[1] (numeric) = 0.3412098347590081 absolute error = 9.364731212713195e-14 relative error = 2.744566615241307e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9399871534567875 y2[1] (numeric) = -0.9399871534567525 absolute error = 3.497202527569243e-14 relative error = 3.720479066876965e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y1[1] (analytic) = 0.3421496511508034 y1[1] (numeric) = 0.3421496511508971 absolute error = 9.370282327836321e-14 relative error = 2.738650264970267e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9396454736853594 y2[1] (numeric) = -0.9396454736853243 absolute error = 3.519406988061746e-14 relative error = 3.745462609699348e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.920999999999899 y1[1] (analytic) = 0.3430891253930698 y1[1] (numeric) = 0.3430891253931636 absolute error = 9.375833442959447e-14 relative error = 2.732769053002702e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9393028542685359 y2[1] (numeric) = -0.9393028542685006 absolute error = 3.530509218307998e-14 relative error = 3.758648451097612e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.921999999999899 y1[1] (analytic) = 0.3440282565462394 y1[1] (numeric) = 0.3440282565463332 absolute error = 9.381384558082573e-14 relative error = 2.726922681370407e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9389592955489364 y2[1] (numeric) = -0.9389592955489009 absolute error = 3.552713678800501e-14 relative error = 3.783671662490445e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.922999999999899 y1[1] (analytic) = 0.3449670436711811 y1[1] (numeric) = 0.344967043671275 absolute error = 9.386935673205699e-14 relative error = 2.721110855491815e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9386147978701196 y2[1] (numeric) = -0.938614797870084 absolute error = 3.563815909046752e-14 relative error = 3.796888688665117e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.923999999999899 y1[1] (analytic) = 0.3459054858291078 y1[1] (numeric) = 0.3459054858292018 absolute error = 9.39803790345195e-14 relative error = 2.716938091029578e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9382693615765831 y2[1] (numeric) = -0.9382693615765474 absolute error = 3.574918139293004e-14 relative error = 3.810119231950657e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.924999999999899 y1[1] (analytic) = 0.3468435820815776 y1[1] (numeric) = 0.3468435820816716 absolute error = 9.403589018575076e-14 relative error = 2.711190145753757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9379229870137633 y2[1] (numeric) = -0.9379229870137274 absolute error = 3.586020369539256e-14 relative error = 3.823363345594849e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.925999999999898 y1[1] (analytic) = 0.3477813314904942 y1[1] (numeric) = 0.3477813314905883 absolute error = 9.409140133698202e-14 relative error = 2.705475907339029e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9375756745280346 y2[1] (numeric) = -0.9375756745279986 absolute error = 3.597122599785507e-14 relative error = 3.836621082982192e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.926999999999898 y1[1] (analytic) = 0.3487187331181082 y1[1] (numeric) = 0.3487187331182024 absolute error = 9.414691248821327e-14 relative error = 2.699795094068734e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9372274244667095 y2[1] (numeric) = -0.9372274244666734 absolute error = 3.608224830031759e-14 relative error = 3.849892497634574e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.927999999999898 y1[1] (analytic) = 0.3496557860270182 y1[1] (numeric) = 0.3496557860271125 absolute error = 9.425793479067579e-14 relative error = 2.695735021624735e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.936878237178038 y2[1] (numeric) = -0.9368782371780018 absolute error = 3.61932706027801e-14 relative error = 3.863177643211941e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.928999999999898 y1[1] (analytic) = 0.3505924892801714 y1[1] (numeric) = 0.3505924892802657 absolute error = 9.431344594190705e-14 relative error = 2.690115984388294e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9365281130112074 y2[1] (numeric) = -0.9365281130111711 absolute error = 3.630429290524262e-14 relative error = 3.876476573512979e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y1[1] (analytic) = 0.3515288419408644 y1[1] (numeric) = 0.3515288419409588 absolute error = 9.442446824436956e-14 relative error = 2.686108705135894e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9361770523163419 y2[1] (numeric) = -0.9361770523163054 absolute error = 3.641531520770513e-14 relative error = 3.889789342475797e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.930999999999898 y1[1] (analytic) = 0.3524648430727448 y1[1] (numeric) = 0.3524648430728393 absolute error = 9.447997939560082e-14 relative error = 2.680550450704134e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.935825055444502 y2[1] (numeric) = -0.9358250554444655 absolute error = 3.652633751016765e-14 relative error = 3.903116004178604e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.931999999999898 y1[1] (analytic) = 0.3534004917398116 y1[1] (numeric) = 0.3534004917399061 absolute error = 9.453549054683208e-14 relative error = 2.675024306882773e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9354721227476848 y2[1] (numeric) = -0.935472122747648 absolute error = 3.674838211509268e-14 relative error = 3.928324663182341e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.932999999999898 y1[1] (analytic) = 0.354335787006416 y1[1] (numeric) = 0.3543357870065106 absolute error = 9.459100169806334e-14 relative error = 2.669530009858998e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9351182545788227 y2[1] (numeric) = -0.9351182545787858 absolute error = 3.68594044175552e-14 relative error = 3.941683764280345e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.933999999999898 y1[1] (analytic) = 0.3552707279372629 y1[1] (numeric) = 0.3552707279373576 absolute error = 9.46465128492946e-14 relative error = 2.664067298727976e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.934763451291784 y2[1] (numeric) = -0.934763451291747 absolute error = 3.697042672001771e-14 relative error = 3.955056936482371e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.934999999999897 y1[1] (analytic) = 0.3562053135974115 y1[1] (numeric) = 0.3562053135975063 absolute error = 9.475753515175711e-14 relative error = 2.660194318685921e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9344077132413718 y2[1] (numeric) = -0.9344077132413348 absolute error = 3.708144902248023e-14 relative error = 3.968444234460372e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.935999999999897 y1[1] (analytic) = 0.3571395430522762 y1[1] (numeric) = 0.3571395430523711 absolute error = 9.481304630298837e-14 relative error = 2.654789931483732e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9340510407833242 y2[1] (numeric) = -0.9340510407832872 absolute error = 3.708144902248023e-14 relative error = 3.969959606423925e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.936999999999897 y1[1] (analytic) = 0.3580734153676277 y1[1] (numeric) = 0.3580734153677225 absolute error = 9.486855745421963e-14 relative error = 2.649416387329949e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9336934342743138 y2[1] (numeric) = -0.9336934342742765 absolute error = 3.730349362740526e-14 relative error = 3.995261427151227e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.937999999999897 y1[1] (analytic) = 0.3590069296095935 y1[1] (numeric) = 0.3590069296096885 absolute error = 9.497957975668214e-14 relative error = 2.645619678148521e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9333348940719469 y2[1] (numeric) = -0.9333348940719095 absolute error = 3.741451592986778e-14 relative error = 4.008691431929218e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.938999999999897 y1[1] (analytic) = 0.3599400848446597 y1[1] (numeric) = 0.3599400848447548 absolute error = 9.50350909079134e-14 relative error = 2.640303064576093e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9329754205347637 y2[1] (numeric) = -0.9329754205347262 absolute error = 3.752553823233029e-14 relative error = 4.02213578261487e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y1[1] (analytic) = 0.3608728801396711 y1[1] (numeric) = 0.3608728801397662 absolute error = 9.509060205914466e-14 relative error = 2.63501657487648e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9326150140222377 y2[1] (numeric) = -0.9326150140222 absolute error = 3.763656053479281e-14 relative error = 4.035594534605614e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.940999999999897 y1[1] (analytic) = 0.3618053145618323 y1[1] (numeric) = 0.3618053145619275 absolute error = 9.514611321037592e-14 relative error = 2.629759967058624e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9322536748947754 y2[1] (numeric) = -0.9322536748947376 absolute error = 3.774758283725532e-14 relative error = 4.04906774344611e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.941999999999897 y1[1] (analytic) = 0.3627373871787092 y1[1] (numeric) = 0.3627373871788044 absolute error = 9.525713551283843e-14 relative error = 2.626063341684387e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9318914035137159 y2[1] (numeric) = -0.9318914035136781 absolute error = 3.785860513971784e-14 relative error = 4.062555464828968e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.942999999999897 y1[1] (analytic) = 0.3636690970582291 y1[1] (numeric) = 0.3636690970583244 absolute error = 9.525713551283843e-14 relative error = 2.619335442119963e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9315282002413305 y2[1] (numeric) = -0.9315282002412926 absolute error = 3.796962744218035e-14 relative error = 4.076057754595468e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.943999999999896 y1[1] (analytic) = 0.3646004432686823 y1[1] (numeric) = 0.3646004432687776 absolute error = 9.531264666406969e-14 relative error = 2.614167053928447e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9311640654408225 y2[1] (numeric) = -0.9311640654407844 absolute error = 3.808064974464287e-14 relative error = 4.089574668736288e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.944999999999896 y1[1] (analytic) = 0.3655314248787225 y1[1] (numeric) = 0.365531424878818 absolute error = 9.54236689665322e-14 relative error = 2.610546247786828e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9307989994763267 y2[1] (numeric) = -0.9307989994762885 absolute error = 3.819167204710538e-14 relative error = 4.103106263392232e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.945999999999896 y1[1] (analytic) = 0.3664620409573684 y1[1] (numeric) = 0.3664620409574639 absolute error = 9.547918011776346e-14 relative error = 2.605431653120953e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.930433002712909 y2[1] (numeric) = -0.9304330027128707 absolute error = 3.83026943495679e-14 relative error = 4.116652594854962e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.946999999999896 y1[1] (analytic) = 0.3673922905740039 y1[1] (numeric) = 0.3673922905740994 absolute error = 9.553469126899472e-14 relative error = 2.600345563041998e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9300660755165661 y2[1] (numeric) = -0.9300660755165276 absolute error = 3.841371665203042e-14 relative error = 4.130213719567735e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.947999999999896 y1[1] (analytic) = 0.3683221727983793 y1[1] (numeric) = 0.368322172798475 absolute error = 9.564571357145724e-14 relative error = 2.596794888691482e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9296982182542252 y2[1] (numeric) = -0.9296982182541866 absolute error = 3.852473895449293e-14 relative error = 4.14378969412614e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.948999999999896 y1[1] (analytic) = 0.3692516867006127 y1[1] (numeric) = 0.3692516867007084 absolute error = 9.570122472268849e-14 relative error = 2.591761342454816e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9293294312937435 y2[1] (numeric) = -0.9293294312937048 absolute error = 3.863576125695545e-14 relative error = 4.157380575278845e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y1[1] (analytic) = 0.3701808313511901 y1[1] (numeric) = 0.3701808313512859 absolute error = 9.581224702515101e-14 relative error = 2.58825522314131e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9289597150039078 y2[1] (numeric) = -0.9289597150038691 absolute error = 3.874678355941796e-14 relative error = 4.170986419928335e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.950999999999896 y1[1] (analytic) = 0.3711096058209671 y1[1] (numeric) = 0.3711096058210629 absolute error = 9.586775817638227e-14 relative error = 2.583273423071441e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9285890697544347 y2[1] (numeric) = -0.9285890697543958 absolute error = 3.885780586188048e-14 relative error = 4.18460728513167e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.951999999999896 y1[1] (analytic) = 0.3720380091811691 y1[1] (numeric) = 0.3720380091812651 absolute error = 9.592326932761353e-14 relative error = 2.578319068493411e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9282174959159692 y2[1] (numeric) = -0.9282174959159302 absolute error = 3.907985046680551e-14 relative error = 4.210204035018898e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.952999999999895 y1[1] (analytic) = 0.372966040503393 y1[1] (numeric) = 0.372966040503489 absolute error = 9.597878047884478e-14 relative error = 2.573391946068388e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9278449938600851 y2[1] (numeric) = -0.9278449938600459 absolute error = 3.919087276926803e-14 relative error = 4.223859915029927e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.953999999999895 y1[1] (analytic) = 0.3738936988596074 y1[1] (numeric) = 0.3738936988597035 absolute error = 9.603429163007604e-14 relative error = 2.568491844687004e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9274715639592845 y2[1] (numeric) = -0.9274715639592451 absolute error = 3.941291737419306e-14 relative error = 4.249501430097027e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.954999999999895 y1[1] (analytic) = 0.3748209833221542 y1[1] (numeric) = 0.3748209833222503 absolute error = 9.60898027813073e-14 relative error = 2.563618555440351e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9270972065869972 y2[1] (numeric) = -0.9270972065869577 absolute error = 3.952393967665557e-14 relative error = 4.263192618404973e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.955999999999895 y1[1] (analytic) = 0.3757478929637488 y1[1] (numeric) = 0.375747892963845 absolute error = 9.614531393253856e-14 relative error = 2.558771871591424e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9267219221175806 y2[1] (numeric) = -0.926721922117541 absolute error = 3.963496197911809e-14 relative error = 4.27689914667728e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.956999999999895 y1[1] (analytic) = 0.3766744268574819 y1[1] (numeric) = 0.3766744268575781 absolute error = 9.620082508376981e-14 relative error = 2.553951588547004e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9263457109263191 y2[1] (numeric) = -0.9263457109262794 absolute error = 3.97459842815806e-14 relative error = 4.290621072972396e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.957999999999895 y1[1] (analytic) = 0.3776005840768194 y1[1] (numeric) = 0.3776005840769157 absolute error = 9.625633623500107e-14 relative error = 2.549157503829989e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9259685733894238 y2[1] (numeric) = -0.925968573389384 absolute error = 3.985700658404312e-14 relative error = 4.304358455508934e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.958999999999895 y1[1] (analytic) = 0.3785263636956043 y1[1] (numeric) = 0.3785263636957006 absolute error = 9.631184738623233e-14 relative error = 2.544389417052135e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9255905098840324 y2[1] (numeric) = -0.9255905098839924 absolute error = 3.996802888650564e-14 relative error = 4.318111352666445e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y1[1] (analytic) = 0.3794517647880571 y1[1] (numeric) = 0.3794517647881535 absolute error = 9.636735853746359e-14 relative error = 2.539647129887236e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9252115207882082 y2[1] (numeric) = -0.925211520788168 absolute error = 4.019007349143067e-14 relative error = 4.343879490085883e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.960999999999895 y1[1] (analytic) = 0.3803767864287767 y1[1] (numeric) = 0.3803767864288731 absolute error = 9.642286968869485e-14 relative error = 2.5349304460447e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9248316064809403 y2[1] (numeric) = -0.9248316064809 absolute error = 4.030109579389318e-14 relative error = 4.357668521650351e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.961999999999894 y1[1] (analytic) = 0.3813014276927416 y1[1] (numeric) = 0.3813014276928381 absolute error = 9.64783808399261e-14 relative error = 2.53023917124354e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9244507673421429 y2[1] (numeric) = -0.9244507673421025 absolute error = 4.04121180963557e-14 relative error = 4.371473260013966e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.962999999999894 y1[1] (analytic) = 0.3822256876553106 y1[1] (numeric) = 0.3822256876554071 absolute error = 9.653389199115736e-14 relative error = 2.525573113186762e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9240690037526553 y2[1] (numeric) = -0.9240690037526148 absolute error = 4.052314039881821e-14 relative error = 4.385293764237654e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.963999999999894 y1[1] (analytic) = 0.3831495653922237 y1[1] (numeric) = 0.3831495653923203 absolute error = 9.658940314238862e-14 relative error = 2.520932081536141e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.923686316094241 y2[1] (numeric) = -0.9236863160942003 absolute error = 4.074518500374325e-14 relative error = 4.411149574677269e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.964999999999894 y1[1] (analytic) = 0.3840730599796034 y1[1] (numeric) = 0.3840730599797001 absolute error = 9.670042544485113e-14 relative error = 2.517761215795414e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9233027047495875 y2[1] (numeric) = -0.9233027047495467 absolute error = 4.085620730620576e-14 relative error = 4.425006782286696e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.965999999999894 y1[1] (analytic) = 0.3849961704939551 y1[1] (numeric) = 0.3849961704940519 absolute error = 9.675593659608239e-14 relative error = 2.513166208171454e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9229181701023063 y2[1] (numeric) = -0.9229181701022653 absolute error = 4.096722960866828e-14 relative error = 4.438879950118116e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.966999999999894 y1[1] (analytic) = 0.3859188960121684 y1[1] (numeric) = 0.3859188960122653 absolute error = 9.681144774731365e-14 relative error = 2.508595685458767e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9225327125369317 y2[1] (numeric) = -0.9225327125368906 absolute error = 4.107825191113079e-14 relative error = 4.452769137927595e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.967999999999894 y1[1] (analytic) = 0.3868412356115179 y1[1] (numeric) = 0.3868412356116148 absolute error = 9.686695889854491e-14 relative error = 2.50404946477378e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9221463324389216 y2[1] (numeric) = -0.9221463324388803 absolute error = 4.130029651605582e-14 relative error = 4.478713959293586e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.968999999999894 y1[1] (analytic) = 0.387763188369664 y1[1] (numeric) = 0.3877631883697609 absolute error = 9.692247004977617e-14 relative error = 2.499527365072562e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9217590301946559 y2[1] (numeric) = -0.9217590301946145 absolute error = 4.141131881851834e-14 relative error = 4.492640425749141e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y1[1] (analytic) = 0.388684753364654 y1[1] (numeric) = 0.388684753364751 absolute error = 9.697798120100742e-14 relative error = 2.495029207127792e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9213708061914367 y2[1] (numeric) = -0.9213708061913952 absolute error = 4.152234112098085e-14 relative error = 4.506583108772126e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.970999999999894 y1[1] (analytic) = 0.3896059296749231 y1[1] (numeric) = 0.3896059296750201 absolute error = 9.703349235223868e-14 relative error = 2.490554813506069e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9209816608174882 y2[1] (numeric) = -0.9209816608174466 absolute error = 4.163336342344337e-14 relative error = 4.520542068827785e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.971999999999893 y1[1] (analytic) = 0.3905267163792949 y1[1] (numeric) = 0.390526716379392 absolute error = 9.708900350346994e-14 relative error = 2.486104008545558e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9205915944619556 y2[1] (numeric) = -0.9205915944619139 absolute error = 4.174438572590589e-14 relative error = 4.534517366553146e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.972999999999893 y1[1] (analytic) = 0.3914471125569829 y1[1] (numeric) = 0.3914471125570801 absolute error = 9.71445146547012e-14 relative error = 2.481676618333974e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9202006075149053 y2[1] (numeric) = -0.9202006075148633 absolute error = 4.196643033083092e-14 relative error = 4.560574073534411e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.973999999999893 y1[1] (analytic) = 0.392367117287591 y1[1] (numeric) = 0.3923671172876882 absolute error = 9.725553695716371e-14 relative error = 2.478687246512528e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9198087003673241 y2[1] (numeric) = -0.919808700367282 absolute error = 4.207745263329343e-14 relative error = 4.574587369796554e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.974999999999893 y1[1] (analytic) = 0.3932867296511145 y1[1] (numeric) = 0.3932867296512118 absolute error = 9.731104810839497e-14 relative error = 2.474302862817665e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9194158734111192 y2[1] (numeric) = -0.919415873411077 absolute error = 4.218847493575595e-14 relative error = 4.588617203141463e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.975999999999893 y1[1] (analytic) = 0.3942059487279411 y1[1] (numeric) = 0.3942059487280385 absolute error = 9.736655925962623e-14 relative error = 2.469941399256336e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9190221270391176 y2[1] (numeric) = -0.9190221270390752 absolute error = 4.241051954068098e-14 relative error = 4.614744116914587e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.976999999999893 y1[1] (analytic) = 0.3951247735988518 y1[1] (numeric) = 0.3951247735989493 absolute error = 9.742207041085749e-14 relative error = 2.465602688576664e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9186274616450654 y2[1] (numeric) = -0.9186274616450228 absolute error = 4.25215418431435e-14 relative error = 4.628812398771152e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.977999999999893 y1[1] (analytic) = 0.3960432033450219 y1[1] (numeric) = 0.3960432033451194 absolute error = 9.747758156208874e-14 relative error = 2.461286565172259e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9182318776236281 y2[1] (numeric) = -0.9182318776235855 absolute error = 4.263256414560601e-14 relative error = 4.642897418889281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.978999999999893 y1[1] (analytic) = 0.3969612370480216 y1[1] (numeric) = 0.3969612370481191 absolute error = 9.753309271332e-14 relative error = 2.456992865062065e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9178353753703898 y2[1] (numeric) = -0.917835375370347 absolute error = 4.285460875053104e-14 relative error = 4.669095341115741e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y1[1] (analytic) = 0.3978788737898173 y1[1] (numeric) = 0.3978788737899149 absolute error = 9.758860386455126e-14 relative error = 2.452721425870508e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9174379552818526 y2[1] (numeric) = -0.9174379552818096 absolute error = 4.296563105299356e-14 relative error = 4.683219263562492e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.980999999999892 y1[1] (analytic) = 0.3987961126527725 y1[1] (numeric) = 0.3987961126528701 absolute error = 9.764411501578252e-14 relative error = 2.448472086807932e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9170396177554365 y2[1] (numeric) = -0.9170396177553934 absolute error = 4.307665335545607e-14 relative error = 4.697360127241973e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.981999999999892 y1[1] (analytic) = 0.3997129527196482 y1[1] (numeric) = 0.3997129527197459 absolute error = 9.769962616701378e-14 relative error = 2.444244688651324e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9166403631894792 y2[1] (numeric) = -0.9166403631894359 absolute error = 4.329869796038111e-14 relative error = 4.723629866103858e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.982999999999892 y1[1] (analytic) = 0.4006293930736045 y1[1] (numeric) = 0.4006293930737022 absolute error = 9.775513731824503e-14 relative error = 2.440039073725308e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.916240191983235 y2[1] (numeric) = -0.9162401919831915 absolute error = 4.352074256530614e-14 relative error = 4.749927251183329e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.983999999999892 y1[1] (analytic) = 0.401545432798201 y1[1] (numeric) = 0.4015454327982989 absolute error = 9.781064846947629e-14 relative error = 2.435855085883435e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9158391045368752 y2[1] (numeric) = -0.9158391045368316 absolute error = 4.363176486776865e-14 relative error = 4.764129927585099e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.984999999999892 y1[1] (analytic) = 0.4024610709773983 y1[1] (numeric) = 0.4024610709774962 absolute error = 9.786615962070755e-14 relative error = 2.431692570489721e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9154371012514871 y2[1] (numeric) = -0.9154371012514434 absolute error = 4.374278717023117e-14 relative error = 4.778349829871515e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.985999999999892 y1[1] (analytic) = 0.4033763066955581 y1[1] (numeric) = 0.4033763066956561 absolute error = 9.792167077193881e-14 relative error = 2.427551374400471e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9150341825290742 y2[1] (numeric) = -0.9150341825290302 absolute error = 4.39648317751562e-14 relative error = 4.804720153037481e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.986999999999892 y1[1] (analytic) = 0.4042911390374449 y1[1] (numeric) = 0.4042911390375428 absolute error = 9.792167077193881e-14 relative error = 2.42205829702514e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9146303487725549 y2[1] (numeric) = -0.9146303487725108 absolute error = 4.407585407761871e-14 relative error = 4.818980054266628e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.987999999999892 y1[1] (analytic) = 0.4052055670882263 y1[1] (numeric) = 0.4052055670883243 absolute error = 9.797718192317006e-14 relative error = 2.417962384555227e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9142256003857631 y2[1] (numeric) = -0.9142256003857189 absolute error = 4.418687638008123e-14 relative error = 4.833257388705404e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.988999999999892 y1[1] (analytic) = 0.4061195899334744 y1[1] (numeric) = 0.4061195899335724 absolute error = 9.803269307440132e-14 relative error = 2.413887325417123e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9138199377734471 y2[1] (numeric) = -0.9138199377734028 absolute error = 4.429789868254375e-14 relative error = 4.847552220241229e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.989999999999891 y1[1] (analytic) = 0.4070332066591664 y1[1] (numeric) = 0.4070332066592645 absolute error = 9.808820422563258e-14 relative error = 2.409832972368955e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9134133613412694 y2[1] (numeric) = -0.913413361341225 absolute error = 4.440892098500626e-14 relative error = 4.861864612949778e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.990999999999891 y1[1] (analytic) = 0.4079464163516856 y1[1] (numeric) = 0.4079464163517837 absolute error = 9.814371537686384e-14 relative error = 2.405799179573019e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9130058714958065 y2[1] (numeric) = -0.913005871495762 absolute error = 4.451994328746878e-14 relative error = 4.876194631095892e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.991999999999891 y1[1] (analytic) = 0.4088592180978225 y1[1] (numeric) = 0.4088592180979207 absolute error = 9.81992265280951e-14 relative error = 2.401785802579122e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9125974686445483 y2[1] (numeric) = -0.9125974686445035 absolute error = 4.474198789239381e-14 relative error = 4.902707867341298e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.992999999999891 y1[1] (analytic) = 0.4097716109847754 y1[1] (numeric) = 0.4097716109848736 absolute error = 9.825473767932635e-14 relative error = 2.397792698308154e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9121881531958974 y2[1] (numeric) = -0.9121881531958526 absolute error = 4.485301019485632e-14 relative error = 4.917078788812542e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.993999999999891 y1[1] (analytic) = 0.4106835941001514 y1[1] (numeric) = 0.4106835941002497 absolute error = 9.836575998178887e-14 relative error = 2.395171401899266e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9117779255591694 y2[1] (numeric) = -0.9117779255591244 absolute error = 4.496403249731884e-14 relative error = 4.931467546743203e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.994999999999891 y1[1] (analytic) = 0.4115951665319675 y1[1] (numeric) = 0.411595166532066 absolute error = 9.842127113302013e-14 relative error = 2.391215425640233e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9113667861445917 y2[1] (numeric) = -0.9113667861445466 absolute error = 4.507505479978136e-14 relative error = 4.945874206198034e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.995999999999891 y1[1] (analytic) = 0.4125063273686514 y1[1] (numeric) = 0.4125063273687499 absolute error = 9.847678228425139e-14 relative error = 2.387279315505965e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9109547353633038 y2[1] (numeric) = -0.9109547353632587 absolute error = 4.518607710224387e-14 relative error = 4.960298832435721e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.996999999999891 y1[1] (analytic) = 0.4134170756990424 y1[1] (numeric) = 0.4134170756991409 absolute error = 9.847678228425139e-14 relative error = 2.382020193958802e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9105417736273566 y2[1] (numeric) = -0.9105417736273113 absolute error = 4.529709940470639e-14 relative error = 4.974741490909832e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.997999999999891 y1[1] (analytic) = 0.414327410612392 y1[1] (numeric) = 0.4143274106124906 absolute error = 9.85878045867139e-14 relative error = 2.379466143478108e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9101279013497116 y2[1] (numeric) = -0.910127901349666 absolute error = 4.551914400963142e-14 relative error = 5.001400785771641e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.99899999999989 y1[1] (analytic) = 0.4152373311983656 y1[1] (numeric) = 0.4152373311984643 absolute error = 9.864331573794516e-14 relative error = 2.375588809735935e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.909713118944241 y2[1] (numeric) = -0.9097131189441954 absolute error = 4.563016631209393e-14 relative error = 5.015885267769865e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.99999999999989 y1[1] (analytic) = 0.4161468365470427 y1[1] (numeric) = 0.4161468365471414 absolute error = 9.869882688917642e-14 relative error = 2.371730798391379e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9092974268257273 y2[1] (numeric) = -0.9092974268256816 absolute error = 4.574118861455645e-14 relative error = 5.03038799683341e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00099999999989 y1[1] (analytic) = 0.4170559257489178 y1[1] (numeric) = 0.4170559257490165 absolute error = 9.875433804040767e-14 relative error = 2.367891976671283e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9088808254098626 y2[1] (numeric) = -0.9088808254098167 absolute error = 4.585221091701897e-14 relative error = 5.044909039239745e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00199999999989 y1[1] (analytic) = 0.4179645978949019 y1[1] (numeric) = 0.4179645978950007 absolute error = 9.875433804040767e-14 relative error = 2.362744082579924e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9084633151132482 y2[1] (numeric) = -0.9084633151132022 absolute error = 4.596323321948148e-14 relative error = 5.059448461466135e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00299999999989 y1[1] (analytic) = 0.418872852076323 y1[1] (numeric) = 0.4188728520764218 absolute error = 9.880984919163893e-14 relative error = 2.358946126535667e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9080448963533945 y2[1] (numeric) = -0.9080448963533483 absolute error = 4.618527782440651e-14 relative error = 5.086232851468177e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00399999999989 y1[1] (analytic) = 0.4197806873849269 y1[1] (numeric) = 0.4197806873850257 absolute error = 9.880984919163893e-14 relative error = 2.35384457077305e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.90762556954872 y2[1] (numeric) = -0.9076255695486737 absolute error = 4.629630012686903e-14 relative error = 5.100814882274414e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00499999999989 y1[1] (analytic) = 0.4206881029128784 y1[1] (numeric) = 0.4206881029129773 absolute error = 9.886536034287019e-14 relative error = 2.350086909002619e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9072053351185516 y2[1] (numeric) = -0.9072053351185051 absolute error = 4.651834473179406e-14 relative error = 5.127653347157085e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00599999999989 y1[1] (analytic) = 0.421595097752762 y1[1] (numeric) = 0.421595097752861 absolute error = 9.892087149410145e-14 relative error = 2.34634776403667e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9067841934831237 y2[1] (numeric) = -0.906784193483077 absolute error = 4.662936703425657e-14 relative error = 5.142278324806772e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.00699999999989 y1[1] (analytic) = 0.4225016709975831 y1[1] (numeric) = 0.422501670997682 absolute error = 9.897638264533271e-14 relative error = 2.342627010483443e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9063621450635778 y2[1] (numeric) = -0.9063621450635311 absolute error = 4.674038933671909e-14 relative error = 5.156922052767377e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.007999999999889 y1[1] (analytic) = 0.4234078217407683 y1[1] (numeric) = 0.4234078217408673 absolute error = 9.903189379656396e-14 relative error = 2.338924524100934e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9059391902819625 y2[1] (numeric) = -0.9059391902819156 absolute error = 4.685141163918161e-14 relative error = 5.171584598807308e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.008999999999889 y1[1] (analytic) = 0.424313549076167 y1[1] (numeric) = 0.4243135490762662 absolute error = 9.914291609902648e-14 relative error = 2.336548439588708e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9055153295612323 y2[1] (numeric) = -0.9055153295611853 absolute error = 4.696243394164412e-14 relative error = 5.18626603090196e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.009999999999889 y1[1] (analytic) = 0.4252188520980521 y1[1] (numeric) = 0.4252188520981513 absolute error = 9.919842725025774e-14 relative error = 2.332879334037226e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9050905633252481 y2[1] (numeric) = -0.9050905633252009 absolute error = 4.718447854656915e-14 relative error = 5.21323284746404e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.010999999999889 y1[1] (analytic) = 0.4261237299011205 y1[1] (numeric) = 0.4261237299012198 absolute error = 9.925393840148899e-14 relative error = 2.329228142833545e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9046648919987759 y2[1] (numeric) = -0.9046648919987286 absolute error = 4.729550084903167e-14 relative error = 5.227958028141946e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.011999999999889 y1[1] (analytic) = 0.4270281815804945 y1[1] (numeric) = 0.4270281815805939 absolute error = 9.936496070395151e-14 relative error = 2.326894687282396e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9042383160074872 y2[1] (numeric) = -0.9042383160074396 absolute error = 4.75175454539567e-14 relative error = 5.254980309147091e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.012999999999889 y1[1] (analytic) = 0.4279322062317225 y1[1] (numeric) = 0.4279322062318219 absolute error = 9.942047185518277e-14 relative error = 2.32327622009705e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9038108357779577 y2[1] (numeric) = -0.9038108357779101 absolute error = 4.762856775641922e-14 relative error = 5.269749583763597e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.013999999999889 y1[1] (analytic) = 0.42883580295078 y1[1] (numeric) = 0.4288358029508794 absolute error = 9.942047185518277e-14 relative error = 2.318380862117379e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9033824517376678 y2[1] (numeric) = -0.9033824517376201 absolute error = 4.773959005888173e-14 relative error = 5.284538123034603e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.014999999999889 y1[1] (analytic) = 0.4297389708340702 y1[1] (numeric) = 0.4297389708341697 absolute error = 9.947598300641403e-14 relative error = 2.314800140497927e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9029531643150015 y2[1] (numeric) = -0.9029531643149536 absolute error = 4.785061236134425e-14 relative error = 5.299345996272652e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.015999999999889 y1[1] (analytic) = 0.4306417089784254 y1[1] (numeric) = 0.4306417089785249 absolute error = 9.953149415764528e-14 relative error = 2.311236744665429e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9025229739392462 y2[1] (numeric) = -0.9025229739391981 absolute error = 4.807265696626928e-14 relative error = 5.326474600025562e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.016999999999888 y1[1] (analytic) = 0.4315440164811075 y1[1] (numeric) = 0.4315440164812071 absolute error = 9.958700530887654e-14 relative error = 2.307690560071439e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.902091881040592 y2[1] (numeric) = -0.9020918810405438 absolute error = 4.818367926873179e-14 relative error = 5.341327228569042e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.017999999999888 y1[1] (analytic) = 0.4324458924398091 y1[1] (numeric) = 0.4324458924399088 absolute error = 9.96425164601078e-14 relative error = 2.304161473194632e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.901659886050132 y2[1] (numeric) = -0.9016598860500837 absolute error = 4.829470157119431e-14 relative error = 5.356199418248173e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.018999999999888 y1[1] (analytic) = 0.4333473359526543 y1[1] (numeric) = 0.433347335952754 absolute error = 9.975353876257032e-14 relative error = 2.301930356702804e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9012269893998611 y2[1] (numeric) = -0.9012269893998127 absolute error = 4.840572387365683e-14 relative error = 5.371091239277114e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.019999999999888 y1[1] (analytic) = 0.4342483461181997 y1[1] (numeric) = 0.4342483461182994 absolute error = 9.975353876257032e-14 relative error = 2.297154143574286e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9007931915226759 y2[1] (numeric) = -0.9007931915226274 absolute error = 4.851674617611934e-14 relative error = 5.386002762088818e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.020999999999888 y1[1] (analytic) = 0.4351489220354351 y1[1] (numeric) = 0.4351489220355349 absolute error = 9.980904991380157e-14 relative error = 2.293675678821374e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.9003584928523742 y2[1] (numeric) = -0.9003584928523256 absolute error = 4.862776847858186e-14 relative error = 5.400934057336096e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.021999999999888 y1[1] (analytic) = 0.4360490628037847 y1[1] (numeric) = 0.4360490628038846 absolute error = 9.992007221626409e-14 relative error = 2.291486916031432e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8999228938236548 y2[1] (numeric) = -0.899922893823606 absolute error = 4.873879078104437e-14 relative error = 5.415885195892686e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.022999999999888 y1[1] (analytic) = 0.4369487675231079 y1[1] (numeric) = 0.4369487675232078 absolute error = 9.992007221626409e-14 relative error = 2.286768601789908e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8994863948721165 y2[1] (numeric) = -0.8994863948720676 absolute error = 4.884981308350689e-14 relative error = 5.430856248854332e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.023999999999888 y1[1] (analytic) = 0.4378480352937 y1[1] (numeric) = 0.4378480352938 absolute error = 9.997558336749535e-14 relative error = 2.283339773363004e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8990489964342582 y2[1] (numeric) = -0.8990489964342092 absolute error = 4.89608353859694e-14 relative error = 5.445847287539863e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.024999999999888 y1[1] (analytic) = 0.4387468652162932 y1[1] (numeric) = 0.4387468652163933 absolute error = 1.000310945187266e-13 relative error = 2.279927275820268e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8986106989474785 y2[1] (numeric) = -0.8986106989474293 absolute error = 4.918287999089443e-14 relative error = 5.473213266712848e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.025999999999887 y1[1] (analytic) = 0.4396452563920579 y1[1] (numeric) = 0.439645256392158 absolute error = 1.000866056699579e-13 relative error = 2.276531003457585e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8981715028500746 y2[1] (numeric) = -0.8981715028500253 absolute error = 4.929390229335695e-14 relative error = 5.488250533103947e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.026999999999887 y1[1] (analytic) = 0.4405432079226027 y1[1] (numeric) = 0.4405432079227029 absolute error = 1.001421168211891e-13 relative error = 2.273150851500194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8977314085812429 y2[1] (numeric) = -0.8977314085811934 absolute error = 4.951594689828198e-14 relative error = 5.515675003121035e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.027999999999887 y1[1] (analytic) = 0.4414407189099763 y1[1] (numeric) = 0.4414407189100765 absolute error = 1.001976279724204e-13 relative error = 2.269786716092537e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8972904165810773 y2[1] (numeric) = -0.8972904165810277 absolute error = 4.96269692007445e-14 relative error = 5.530758858412515e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.028999999999887 y1[1] (analytic) = 0.4423377884566679 y1[1] (numeric) = 0.4423377884567681 absolute error = 1.001976279724204e-13 relative error = 2.265183544955846e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.89684852729057 y2[1] (numeric) = -0.8968485272905202 absolute error = 4.973799150320701e-14 relative error = 5.54586309613155e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y1[1] (analytic) = 0.4432344156656078 y1[1] (numeric) = 0.443234415665708 absolute error = 1.002531391236516e-13 relative error = 2.261853673368321e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.89640574115161 y2[1] (numeric) = -0.8964057411515601 absolute error = 4.984901380566953e-14 relative error = 5.560987789037209e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.030999999999887 y1[1] (analytic) = 0.444130599640169 y1[1] (numeric) = 0.4441305996402693 absolute error = 1.003086502748829e-13 relative error = 2.25853950068183e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8959620586069836 y2[1] (numeric) = -0.8959620586069336 absolute error = 5.007105841059456e-14 relative error = 5.588524416808857e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.031999999999887 y1[1] (analytic) = 0.4450263394841675 y1[1] (numeric) = 0.4450263394842679 absolute error = 1.003641614261142e-13 relative error = 2.255240926693166e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8955174801003732 y2[1] (numeric) = -0.8955174801003231 absolute error = 5.018208071305708e-14 relative error = 5.603696390988645e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.032999999999887 y1[1] (analytic) = 0.4459216343018637 y1[1] (numeric) = 0.4459216343019641 absolute error = 1.004196725773454e-13 relative error = 2.251957852068845e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8950720060763575 y2[1] (numeric) = -0.8950720060763071 absolute error = 5.040412531798211e-14 relative error = 5.631292787150601e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.033999999999887 y1[1] (analytic) = 0.4468164831979627 y1[1] (numeric) = 0.4468164831980632 absolute error = 1.004751837285767e-13 relative error = 2.248690178335721e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8946256369804102 y2[1] (numeric) = -0.8946256369803597 absolute error = 5.051514762044462e-14 relative error = 5.646512410592898e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.034999999999886 y1[1] (analytic) = 0.4477108852776158 y1[1] (numeric) = 0.4477108852777164 absolute error = 1.005306948798079e-13 relative error = 2.245437807871725e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8941783732589005 y2[1] (numeric) = -0.8941783732588499 absolute error = 5.062616992290714e-14 relative error = 5.661752893709143e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.035999999999886 y1[1] (analytic) = 0.4486048396464209 y1[1] (numeric) = 0.4486048396465215 absolute error = 1.005862060310392e-13 relative error = 2.242200643896725e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.893730215359092 y2[1] (numeric) = -0.8937302153590413 absolute error = 5.073719222536965e-14 relative error = 5.677014310742974e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.036999999999886 y1[1] (analytic) = 0.4494983454104238 y1[1] (numeric) = 0.4494983454105244 absolute error = 1.005862060310392e-13 relative error = 2.237743632608856e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8932811637291427 y2[1] (numeric) = -0.8932811637290918 absolute error = 5.084821452783217e-14 relative error = 5.692296736176357e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.037999999999886 y1[1] (analytic) = 0.4503914016761186 y1[1] (numeric) = 0.4503914016762193 absolute error = 1.006417171822704e-13 relative error = 2.234539043323989e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.892831218818104 y2[1] (numeric) = -0.8928312188180531 absolute error = 5.095923683029469e-14 relative error = 5.707600244730755e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.038999999999886 y1[1] (analytic) = 0.4512840075504494 y1[1] (numeric) = 0.45128400755055 absolute error = 1.006417171822704e-13 relative error = 2.230119292915994e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.892380381075921 y2[1] (numeric) = -0.8923803810758698 absolute error = 5.118128143521972e-14 relative error = 5.735366052479965e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y1[1] (analytic) = 0.4521761621408102 y1[1] (numeric) = 0.4521761621409109 absolute error = 1.006972283335017e-13 relative error = 2.226946857542305e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8919286509534312 y2[1] (numeric) = -0.8919286509533799 absolute error = 5.129230373768223e-14 relative error = 5.750718253399875e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.040999999999886 y1[1] (analytic) = 0.4530678645550465 y1[1] (numeric) = 0.4530678645551472 absolute error = 1.00752739484733e-13 relative error = 2.22378913551243e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8914760289023649 y2[1] (numeric) = -0.8914760289023134 absolute error = 5.151434834260726e-14 relative error = 5.778545543847613e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.041999999999886 y1[1] (analytic) = 0.453959113901456 y1[1] (numeric) = 0.4539591139015569 absolute error = 1.008082506359642e-13 relative error = 2.220646035049036e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8910225153753438 y2[1] (numeric) = -0.8910225153752922 absolute error = 5.162537064506978e-14 relative error = 5.793946814388025e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.042999999999886 y1[1] (analytic) = 0.4548499092887895 y1[1] (numeric) = 0.4548499092888904 absolute error = 1.008637617871955e-13 relative error = 2.217517465154773e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8905681108258817 y2[1] (numeric) = -0.89056811082583 absolute error = 5.173639294753229e-14 relative error = 5.809369583147748e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.043999999999885 y1[1] (analytic) = 0.4557402498262516 y1[1] (numeric) = 0.4557402498263525 absolute error = 1.008637617871955e-13 relative error = 2.213185291965088e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.890112815708383 y2[1] (numeric) = -0.8901128157083311 absolute error = 5.184741524999481e-14 relative error = 5.824813926393456e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.044999999999885 y1[1] (analytic) = 0.4566301346235018 y1[1] (numeric) = 0.4566301346236027 absolute error = 1.009192729384267e-13 relative error = 2.210087887029973e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8896566304781427 y2[1] (numeric) = -0.8896566304780907 absolute error = 5.195843755245733e-14 relative error = 5.840279920639995e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.045999999999885 y1[1] (analytic) = 0.4575195627906555 y1[1] (numeric) = 0.4575195627907565 absolute error = 1.00974784089658e-13 relative error = 2.207004733825129e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8891995555913461 y2[1] (numeric) = -0.8891995555912939 absolute error = 5.218048215738236e-14 relative error = 5.868253287945097e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.046999999999885 y1[1] (analytic) = 0.4584085334382845 y1[1] (numeric) = 0.4584085334383855 absolute error = 1.010302952408892e-13 relative error = 2.203935744457317e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.888741591505068 y2[1] (numeric) = -0.8887415915050156 absolute error = 5.240252676230739e-14 relative error = 5.896261327610948e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.047999999999885 y1[1] (analytic) = 0.4592970456774182 y1[1] (numeric) = 0.4592970456775193 absolute error = 1.010858063921205e-13 relative error = 2.20088083177258e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8882827386772725 y2[1] (numeric) = -0.88828273867722 absolute error = 5.25135490647699e-14 relative error = 5.911805642307875e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.048999999999885 y1[1] (analytic) = 0.4601850986195446 y1[1] (numeric) = 0.4601850986196457 absolute error = 1.011413175433518e-13 relative error = 2.197839909348516e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8878229975668123 y2[1] (numeric) = -0.8878229975667596 absolute error = 5.262457136723242e-14 relative error = 5.927371954934318e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y1[1] (analytic) = 0.4610726913766107 y1[1] (numeric) = 0.4610726913767119 absolute error = 1.01196828694583e-13 relative error = 2.194812891486649e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8873623686334285 y2[1] (numeric) = -0.8873623686333757 absolute error = 5.284661597215745e-14 relative error = 5.955471838809576e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.050999999999885 y1[1] (analytic) = 0.4619598230610238 y1[1] (numeric) = 0.461959823061125 absolute error = 1.012523398458143e-13 relative error = 2.191799693204902e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8869008523377501 y2[1] (numeric) = -0.8869008523376971 absolute error = 5.295763827461997e-14 relative error = 5.971088891732467e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.051999999999885 y1[1] (analytic) = 0.4628464927856524 y1[1] (numeric) = 0.4628464927857536 absolute error = 1.012523398458143e-13 relative error = 2.187600887638247e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8864384491412932 y2[1] (numeric) = -0.88643844914124 absolute error = 5.3179682879545e-14 relative error = 5.999252732218575e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.052999999999884 y1[1] (analytic) = 0.4637326996638267 y1[1] (numeric) = 0.463732699663928 absolute error = 1.013078509970455e-13 relative error = 2.184617368378088e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.885975159506461 y2[1] (numeric) = -0.8859751595064077 absolute error = 5.329070518200751e-14 relative error = 6.014920916258363e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.053999999999884 y1[1] (analytic) = 0.4646184428093401 y1[1] (numeric) = 0.4646184428094414 absolute error = 1.013633621482768e-13 relative error = 2.181647408040409e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8855109838965431 y2[1] (numeric) = -0.8855109838964897 absolute error = 5.340172748447003e-14 relative error = 6.030611528892013e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.054999999999884 y1[1] (analytic) = 0.4655037213364493 y1[1] (numeric) = 0.4655037213365507 absolute error = 1.01418873299508e-13 relative error = 2.178690924496523e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8850459227757153 y2[1] (numeric) = -0.8850459227756616 absolute error = 5.362377208939506e-14 relative error = 6.058868891369853e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.055999999999884 y1[1] (analytic) = 0.466388534359876 y1[1] (numeric) = 0.4663885343599775 absolute error = 1.01418873299508e-13 relative error = 2.174557602251236e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8845799766090383 y2[1] (numeric) = -0.8845799766089845 absolute error = 5.384581669432009e-14 relative error = 6.087162056361871e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.056999999999884 y1[1] (analytic) = 0.4672728809948072 y1[1] (numeric) = 0.4672728809949087 absolute error = 1.014743844507393e-13 relative error = 2.171630081221576e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8841131458624585 y2[1] (numeric) = -0.8841131458624044 absolute error = 5.406786129924512e-14 relative error = 6.115491162220142e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.057999999999884 y1[1] (analytic) = 0.4681567603568964 y1[1] (numeric) = 0.4681567603569979 absolute error = 1.015298956019706e-13 relative error = 2.168715784955661e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8836454310028065 y2[1] (numeric) = -0.8836454310027522 absolute error = 5.428990590417015e-14 relative error = 6.14385634773884e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.058999999999884 y1[1] (analytic) = 0.4690401715622642 y1[1] (numeric) = 0.4690401715623657 absolute error = 1.015298956019706e-13 relative error = 2.164631128796453e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.883176832497797 y2[1] (numeric) = -0.8831768324977426 absolute error = 5.440092820663267e-14 relative error = 6.159686962437205e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y1[1] (analytic) = 0.4699231137274995 y1[1] (numeric) = 0.4699231137276011 absolute error = 1.015854067532018e-13 relative error = 2.161745268229336e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8827073508160287 y2[1] (numeric) = -0.8827073508159742 absolute error = 5.451195050909519e-14 relative error = 6.175540563778131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.060999999999884 y1[1] (analytic) = 0.4708055859696603 y1[1] (numeric) = 0.4708055859697619 absolute error = 1.016409179044331e-13 relative error = 2.158872386679436e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8822369864269831 y2[1] (numeric) = -0.8822369864269285 absolute error = 5.46229728115577e-14 relative error = 6.191417232775298e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.061999999999883 y1[1] (analytic) = 0.4716875874062743 y1[1] (numeric) = 0.471687587406376 absolute error = 1.016409179044331e-13 relative error = 2.154835544079892e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8817657398010247 y2[1] (numeric) = -0.8817657398009698 absolute error = 5.484501741648273e-14 relative error = 6.219907957510213e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.062999999999883 y1[1] (analytic) = 0.4725691171553402 y1[1] (numeric) = 0.4725691171554419 absolute error = 1.016964290556643e-13 relative error = 2.151990584315633e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8812936114093999 y2[1] (numeric) = -0.8812936114093449 absolute error = 5.495603971894525e-14 relative error = 6.235837751173228e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.063999999999883 y1[1] (analytic) = 0.4734501743353284 y1[1] (numeric) = 0.4734501743354301 absolute error = 1.017519402068956e-13 relative error = 2.149158363913247e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8808206017242372 y2[1] (numeric) = -0.880820601724182 absolute error = 5.517808432387028e-14 relative error = 6.264395294099303e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.064999999999883 y1[1] (analytic) = 0.4743307580651817 y1[1] (numeric) = 0.4743307580652835 absolute error = 1.018074513581269e-13 relative error = 2.146338807405289e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.880346711218546 y2[1] (numeric) = -0.8803467112184907 absolute error = 5.52891066263328e-14 relative error = 6.280378619215093e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.065999999999883 y1[1] (analytic) = 0.4752108674643164 y1[1] (numeric) = 0.4752108674644183 absolute error = 1.018629625093581e-13 relative error = 2.143531839936447e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8798719403662171 y2[1] (numeric) = -0.8798719403661617 absolute error = 5.540012892879531e-14 relative error = 6.296385461017983e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.066999999999883 y1[1] (analytic) = 0.4760905016526233 y1[1] (numeric) = 0.4760905016527252 absolute error = 1.018629625093581e-13 relative error = 2.139571408288289e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8793962896420211 y2[1] (numeric) = -0.8793962896419656 absolute error = 5.551115123125783e-14 relative error = 6.312415902261192e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.067999999999883 y1[1] (analytic) = 0.4769696597504682 y1[1] (numeric) = 0.4769696597505701 absolute error = 1.019184736605894e-13 relative error = 2.136791545900616e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8789197595216088 y2[1] (numeric) = -0.8789197595215531 absolute error = 5.573319583618286e-14 relative error = 6.341101702676263e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.068999999999883 y1[1] (analytic) = 0.477848340878693 y1[1] (numeric) = 0.477848340878795 absolute error = 1.019739848118206e-13 relative error = 2.134024042530009e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8784423504815102 y2[1] (numeric) = -0.8784423504814544 absolute error = 5.584421813864537e-14 relative error = 6.357186457145978e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y1[1] (analytic) = 0.4787265441586169 y1[1] (numeric) = 0.4787265441587189 absolute error = 1.020294959630519e-13 relative error = 2.131268825763009e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8779640629991343 y2[1] (numeric) = -0.8779640629990784 absolute error = 5.595524044110789e-14 relative error = 6.373295081118037e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.070999999999882 y1[1] (analytic) = 0.4796042687120364 y1[1] (numeric) = 0.4796042687121385 absolute error = 1.020850071142831e-13 relative error = 2.128525823767781e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8774848975527686 y2[1] (numeric) = -0.8774848975527125 absolute error = 5.606626274357041e-14 relative error = 6.389427658519763e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.071999999999882 y1[1] (analytic) = 0.4804815136612273 y1[1] (numeric) = 0.4804815136613294 absolute error = 1.021405182655144e-13 relative error = 2.125794965288312e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8770048546215784 y2[1] (numeric) = -0.8770048546215222 absolute error = 5.617728504603292e-14 relative error = 6.405584273564031e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.072999999999882 y1[1] (analytic) = 0.4813582781289445 y1[1] (numeric) = 0.4813582781290466 absolute error = 1.021405182655144e-13 relative error = 2.121922960638341e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8765239346856067 y2[1] (numeric) = -0.8765239346855503 absolute error = 5.639932965095795e-14 relative error = 6.434431213927703e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.073999999999882 y1[1] (analytic) = 0.4822345612384237 y1[1] (numeric) = 0.4822345612385259 absolute error = 1.021960294167457e-13 relative error = 2.11921827324646e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8760421382257734 y2[1] (numeric) = -0.8760421382257169 absolute error = 5.651035195342047e-14 relative error = 6.450643124070435e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.074999999999882 y1[1] (analytic) = 0.4831103621133818 y1[1] (numeric) = 0.4831103621134841 absolute error = 1.022515405679769e-13 relative error = 2.116525510251411e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8755594657238748 y2[1] (numeric) = -0.8755594657238182 absolute error = 5.662137425588298e-14 relative error = 6.466879346575378e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.075999999999882 y1[1] (analytic) = 0.4839856798780181 y1[1] (numeric) = 0.4839856798781204 absolute error = 1.023070517192082e-13 relative error = 2.113844602695544e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8750759176625835 y2[1] (numeric) = -0.8750759176625267 absolute error = 5.684341886080801e-14 relative error = 6.495827129221262e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.076999999999882 y1[1] (analytic) = 0.4848605136570148 y1[1] (numeric) = 0.4848605136571172 absolute error = 1.023625628704394e-13 relative error = 2.111175482168664e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8745914945254475 y2[1] (numeric) = -0.8745914945253904 absolute error = 5.706546346573305e-14 relative error = 6.524813449814844e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.077999999999882 y1[1] (analytic) = 0.4857348625755383 y1[1] (numeric) = 0.4857348625756407 absolute error = 1.024180740216707e-13 relative error = 2.108518080802638e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8741061967968897 y2[1] (numeric) = -0.8741061967968325 absolute error = 5.717648576819556e-14 relative error = 6.541137218534247e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.078999999999882 y1[1] (analytic) = 0.4866087257592397 y1[1] (numeric) = 0.4866087257593421 absolute error = 1.024180740216707e-13 relative error = 2.104731555355304e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.873620024962208 y2[1] (numeric) = -0.8736200249621507 absolute error = 5.728750807065808e-14 relative error = 6.557485684137824e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.079999999999881 y1[1] (analytic) = 0.4874821023342559 y1[1] (numeric) = 0.4874821023343583 absolute error = 1.024735851729019e-13 relative error = 2.102099434670897e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8731329795075743 y2[1] (numeric) = -0.8731329795075168 absolute error = 5.750955267558311e-14 relative error = 6.586574327775031e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.080999999999881 y1[1] (analytic) = 0.4883549914272103 y1[1] (numeric) = 0.4883549914273129 absolute error = 1.025290963241332e-13 relative error = 2.09947882429733e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8726450609200337 y2[1] (numeric) = -0.8726450609199761 absolute error = 5.762057497804562e-14 relative error = 6.602979557037312e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.081999999999881 y1[1] (analytic) = 0.489227392165214 y1[1] (numeric) = 0.4892273921653166 absolute error = 1.025846074753645e-13 relative error = 2.096869658531328e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8721562696875049 y2[1] (numeric) = -0.8721562696874472 absolute error = 5.773159728050814e-14 relative error = 6.619409764857101e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.082999999999881 y1[1] (analytic) = 0.4900993036758664 y1[1] (numeric) = 0.490099303675969 absolute error = 1.025846074753645e-13 relative error = 2.093139221091612e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8716666062987791 y2[1] (numeric) = -0.8716666062987213 absolute error = 5.784261958297066e-14 relative error = 6.635865038879793e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.083999999999881 y1[1] (analytic) = 0.4909707250872559 y1[1] (numeric) = 0.4909707250873585 absolute error = 1.025846074753645e-13 relative error = 2.089424119068056e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8711760712435197 y2[1] (numeric) = -0.8711760712434617 absolute error = 5.795364188543317e-14 relative error = 6.652345467054661e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.084999999999881 y1[1] (analytic) = 0.4918416555279612 y1[1] (numeric) = 0.4918416555280639 absolute error = 1.026401186265957e-13 relative error = 2.086852902209309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8706846650122617 y2[1] (numeric) = -0.8706846650122035 absolute error = 5.81756864903582e-14 relative error = 6.681602287039123e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.085999999999881 y1[1] (analytic) = 0.492712094127052 y1[1] (numeric) = 0.4927120941271547 absolute error = 1.026401186265957e-13 relative error = 2.083166211059732e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8701923880964111 y2[1] (numeric) = -0.8701923880963529 absolute error = 5.81756864903582e-14 relative error = 6.68538213918653e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.086999999999881 y1[1] (analytic) = 0.4935820400140898 y1[1] (numeric) = 0.4935820400141924 absolute error = 1.026401186265957e-13 relative error = 2.079494598783735e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.869699240988245 y2[1] (numeric) = -0.8696992409881866 absolute error = 5.839773109528323e-14 relative error = 6.714704157833403e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.087999999999881 y1[1] (analytic) = 0.4944514923191286 y1[1] (numeric) = 0.4944514923192313 absolute error = 1.02695629777827e-13 relative error = 2.076960659905243e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8692052241809104 y2[1] (numeric) = -0.8692052241808519 absolute error = 5.850875339774575e-14 relative error = 6.731293343626768e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.088999999999881 y1[1] (analytic) = 0.4953204501727163 y1[1] (numeric) = 0.4953204501728191 absolute error = 1.027511409290582e-13 relative error = 2.074437687626855e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.868710338168424 y2[1] (numeric) = -0.8687103381683654 absolute error = 5.861977570020827e-14 relative error = 6.747908148969578e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.08999999999988 y1[1] (analytic) = 0.4961889127058952 y1[1] (numeric) = 0.4961889127059979 absolute error = 1.027511409290582e-13 relative error = 2.070806870083405e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8682145834456719 y2[1] (numeric) = -0.8682145834456131 absolute error = 5.88418203051333e-14 relative error = 6.77733609030253e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09099999999988 y1[1] (analytic) = 0.4970568790502026 y1[1] (numeric) = 0.4970568790503054 absolute error = 1.028066520802895e-13 relative error = 2.068307600464897e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8677179605084087 y2[1] (numeric) = -0.8677179605083497 absolute error = 5.895284260759581e-14 relative error = 6.794009723280878e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09199999999988 y1[1] (analytic) = 0.4979243483376725 y1[1] (numeric) = 0.4979243483377753 absolute error = 1.028621632315208e-13 relative error = 2.065819106354762e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8672204698532572 y2[1] (numeric) = -0.8672204698531981 absolute error = 5.906386491005833e-14 relative error = 6.810709267512165e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09299999999988 y1[1] (analytic) = 0.4987913197008355 y1[1] (numeric) = 0.4987913197009384 absolute error = 1.02917674382752e-13 relative error = 2.063341327681482e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8667221119777082 y2[1] (numeric) = -0.8667221119776489 absolute error = 5.928590951498336e-14 relative error = 6.840244260032006e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09399999999988 y1[1] (analytic) = 0.4996577922727203 y1[1] (numeric) = 0.4996577922728233 absolute error = 1.02917674382752e-13 relative error = 2.059763221436524e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8662228873801194 y2[1] (numeric) = -0.86622288738006 absolute error = 5.939693181744587e-14 relative error = 6.857003282041089e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09499999999988 y1[1] (analytic) = 0.5005237651868546 y1[1] (numeric) = 0.5005237651869575 absolute error = 1.02917674382752e-13 relative error = 2.056199556165549e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8657227965597154 y2[1] (numeric) = -0.8657227965596559 absolute error = 5.950795411990839e-14 relative error = 6.873788510177424e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09599999999988 y1[1] (analytic) = 0.5013892375772654 y1[1] (numeric) = 0.5013892375773683 absolute error = 1.02917674382752e-13 relative error = 2.052650249934655e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8652218400165871 y2[1] (numeric) = -0.8652218400165274 absolute error = 5.972999872483342e-14 relative error = 6.903431693736296e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09699999999988 y1[1] (analytic) = 0.5022542085784802 y1[1] (numeric) = 0.5022542085785833 absolute error = 1.030286966852145e-13 relative error = 2.05132570171616e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8647200182516908 y2[1] (numeric) = -0.8647200182516309 absolute error = 5.984102102729594e-14 relative error = 6.920277056645893e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.09799999999988 y1[1] (analytic) = 0.5031186773255285 y1[1] (numeric) = 0.5031186773256315 absolute error = 1.030286966852145e-13 relative error = 2.047801072162399e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8642173317668482 y2[1] (numeric) = -0.8642173317667883 absolute error = 5.995204332975845e-14 relative error = 6.937148923777028e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.098999999999879 y1[1] (analytic) = 0.5039826429539414 y1[1] (numeric) = 0.5039826429540444 absolute error = 1.030286966852145e-13 relative error = 2.044290574797241e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8637137810647461 y2[1] (numeric) = -0.8637137810646859 absolute error = 6.017408793468348e-14 relative error = 6.966901449749207e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.099999999999879 y1[1] (analytic) = 0.5048461045997532 y1[1] (numeric) = 0.5048461045998563 absolute error = 1.03139718987677e-13 relative error = 2.04299326166827e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8632093666489347 y2[1] (numeric) = -0.8632093666488744 absolute error = 6.0285110237146e-14 relative error = 6.9838341156073e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.100999999999879 y1[1] (analytic) = 0.5057090613995027 y1[1] (numeric) = 0.5057090613996057 absolute error = 1.030286966852145e-13 relative error = 2.037311659001961e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8627040890238287 y2[1] (numeric) = -0.8627040890237682 absolute error = 6.050715484207103e-14 relative error = 7.013662692909731e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.101999999999879 y1[1] (analytic) = 0.5065715124902327 y1[1] (numeric) = 0.5065715124903358 absolute error = 1.03139718987677e-13 relative error = 2.036034724508234e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8621979486947055 y2[1] (numeric) = -0.8621979486946448 absolute error = 6.061817714453355e-14 relative error = 7.030656618506727e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.102999999999879 y1[1] (analytic) = 0.5074334570094925 y1[1] (numeric) = 0.5074334570095956 absolute error = 1.03139718987677e-13 relative error = 2.032576243504331e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8616909461677055 y2[1] (numeric) = -0.8616909461676446 absolute error = 6.084022174945858e-14 relative error = 7.060561796551316e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.103999999999879 y1[1] (analytic) = 0.5082948940953377 y1[1] (numeric) = 0.5082948940954408 absolute error = 1.03139718987677e-13 relative error = 2.029131517664464e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8611830819498311 y2[1] (numeric) = -0.8611830819497701 absolute error = 6.095124405192109e-14 relative error = 7.077617446213587e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.104999999999879 y1[1] (analytic) = 0.509155822886331 y1[1] (numeric) = 0.5091558228864342 absolute error = 1.032507412901396e-13 relative error = 2.027880987490745e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8606743565489465 y2[1] (numeric) = -0.8606743565488854 absolute error = 6.117328865684613e-14 relative error = 7.107599778170828e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.105999999999879 y1[1] (analytic) = 0.5100162425215439 y1[1] (numeric) = 0.5100162425216471 absolute error = 1.032507412901396e-13 relative error = 2.02445986385969e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8601647704737772 y2[1] (numeric) = -0.8601647704737158 absolute error = 6.139533326177116e-14 relative error = 7.137624716710348e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.106999999999879 y1[1] (analytic) = 0.5108761521405568 y1[1] (numeric) = 0.5108761521406601 absolute error = 1.032507412901396e-13 relative error = 2.021052281605274e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.859654324233909 y2[1] (numeric) = -0.8596543242338475 absolute error = 6.150635556423367e-14 relative error = 7.154777662410502e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.107999999999878 y1[1] (analytic) = 0.5117355508834601 y1[1] (numeric) = 0.5117355508835634 absolute error = 1.032507412901396e-13 relative error = 2.017658165665596e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8591430183397882 y2[1] (numeric) = -0.8591430183397265 absolute error = 6.17284001691587e-14 relative error = 7.184880613758922e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.108999999999878 y1[1] (analytic) = 0.5125944378908551 y1[1] (numeric) = 0.5125944378909585 absolute error = 1.033617635926021e-13 relative error = 2.016443331260073e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8586308533027207 y2[1] (numeric) = -0.8586308533026589 absolute error = 6.183942247162122e-14 relative error = 7.202096481131104e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.109999999999878 y1[1] (analytic) = 0.5134528123038551 y1[1] (numeric) = 0.5134528123039585 absolute error = 1.033617635926021e-13 relative error = 2.013072304128969e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8581178296348714 y2[1] (numeric) = -0.8581178296348094 absolute error = 6.195044477408373e-14 relative error = 7.219340122608059e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.110999999999878 y1[1] (analytic) = 0.5143106732640854 y1[1] (numeric) = 0.5143106732641889 absolute error = 1.034727858950646e-13 relative error = 2.011873197932526e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.857603947849264 y2[1] (numeric) = -0.8576039478492019 absolute error = 6.206146707654625e-14 relative error = 7.236611635497559e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.111999999999878 y1[1] (analytic) = 0.5151680199136854 y1[1] (numeric) = 0.5151680199137889 absolute error = 1.034727858950646e-13 relative error = 2.008525022814908e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8570892084597802 y2[1] (numeric) = -0.8570892084597179 absolute error = 6.228351168147128e-14 relative error = 7.266864530169148e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.112999999999878 y1[1] (analytic) = 0.5160248513953084 y1[1] (numeric) = 0.516024851395412 absolute error = 1.035838081975271e-13 relative error = 2.007341466548385e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8565736119811594 y2[1] (numeric) = -0.8565736119810969 absolute error = 6.250555628639631e-14 relative error = 7.297161085995623e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.113999999999878 y1[1] (analytic) = 0.516881166852123 y1[1] (numeric) = 0.5168811668522266 absolute error = 1.035838081975271e-13 relative error = 2.00401591004692e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.856057158928998 y2[1] (numeric) = -0.8560571589289354 absolute error = 6.261657858885883e-14 relative error = 7.314532439305527e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.114999999999878 y1[1] (analytic) = 0.5177369654278139 y1[1] (numeric) = 0.5177369654279175 absolute error = 1.035838081975271e-13 relative error = 2.000703351593492e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.855539849819749 y2[1] (numeric) = -0.8555398498196862 absolute error = 6.272760089132134e-14 relative error = 7.331932101647541e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.115999999999878 y1[1] (analytic) = 0.5185922462665824 y1[1] (numeric) = 0.5185922462666861 absolute error = 1.036948304999896e-13 relative error = 1.999544560230183e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8550216851707214 y2[1] (numeric) = -0.8550216851706586 absolute error = 6.283862319378386e-14 relative error = 7.349360172220302e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.116999999999877 y1[1] (analytic) = 0.519447008513148 y1[1] (numeric) = 0.5194470085132517 absolute error = 1.036948304999896e-13 relative error = 1.996254262716867e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.85450266550008 y2[1] (numeric) = -0.854502665500017 absolute error = 6.306066779870889e-14 relative error = 7.379809372719035e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.117999999999877 y1[1] (analytic) = 0.5203012513127482 y1[1] (numeric) = 0.520301251312852 absolute error = 1.038058528024521e-13 relative error = 1.995110573740585e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8539827913268443 y2[1] (numeric) = -0.8539827913267811 absolute error = 6.317169010117141e-14 relative error = 7.397302468240691e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.118999999999877 y1[1] (analytic) = 0.5211549738111405 y1[1] (numeric) = 0.5211549738112443 absolute error = 1.038058528024521e-13 relative error = 1.991842312150128e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8534620631708884 y2[1] (numeric) = -0.8534620631708251 absolute error = 6.328271240363392e-14 relative error = 7.414824294417742e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.119999999999877 y1[1] (analytic) = 0.5220081751546024 y1[1] (numeric) = 0.5220081751547063 absolute error = 1.039168751049147e-13 relative error = 1.990713556816189e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8529404815529404 y2[1] (numeric) = -0.8529404815528769 absolute error = 6.350475700855895e-14 relative error = 7.445391370443159e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.120999999999877 y1[1] (analytic) = 0.5228608544899327 y1[1] (numeric) = 0.5228608544900366 absolute error = 1.039168751049147e-13 relative error = 1.987467109318957e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.852418046994582 y2[1] (numeric) = -0.8524180469945184 absolute error = 6.361577931102147e-14 relative error = 7.462978938012303e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.121999999999877 y1[1] (analytic) = 0.5237130109644521 y1[1] (numeric) = 0.523713010964556 absolute error = 1.039168751049147e-13 relative error = 1.984233214170961e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8518947600182476 y2[1] (numeric) = -0.8518947600181839 absolute error = 6.372680161348399e-14 relative error = 7.480595562310885e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.122999999999877 y1[1] (analytic) = 0.5245646437260041 y1[1] (numeric) = 0.5245646437261081 absolute error = 1.040278974073772e-13 relative error = 1.983128269348517e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8513706211472242 y2[1] (numeric) = -0.8513706211471603 absolute error = 6.38378239159465e-14 relative error = 7.498241345223408e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.123999999999877 y1[1] (analytic) = 0.5254157519229562 y1[1] (numeric) = 0.5254157519230602 absolute error = 1.040278974073772e-13 relative error = 1.979915848100253e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8508456309056506 y2[1] (numeric) = -0.8508456309055865 absolute error = 6.405986852087153e-14 relative error = 7.528964854962635e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.124999999999877 y1[1] (analytic) = 0.5262663347042 y1[1] (numeric) = 0.5262663347043042 absolute error = 1.041389197098397e-13 relative error = 1.978825412960784e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.850319789818517 y2[1] (numeric) = -0.8503197898184527 absolute error = 6.428191312579656e-14 relative error = 7.559733866656943e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.125999999999876 y1[1] (analytic) = 0.5271163912191531 y1[1] (numeric) = 0.5271163912192572 absolute error = 1.041389197098397e-13 relative error = 1.975634251649425e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8497930984116644 y2[1] (numeric) = -0.8497930984116 absolute error = 6.439293542825908e-14 relative error = 7.577483925041867e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.126999999999876 y1[1] (analytic) = 0.5279659206177588 y1[1] (numeric) = 0.5279659206178631 absolute error = 1.042499420123022e-13 relative error = 1.974558166374112e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8492655572117842 y2[1] (numeric) = -0.8492655572117197 absolute error = 6.450395773072159e-14 relative error = 7.595263599585262e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.127999999999876 y1[1] (analytic) = 0.528814922050488 y1[1] (numeric) = 0.5288149220505922 absolute error = 1.042499420123022e-13 relative error = 1.971388054029781e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8487371667464176 y2[1] (numeric) = -0.8487371667463529 absolute error = 6.472600233564663e-14 relative error = 7.626153875618506e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.128999999999876 y1[1] (analytic) = 0.5296633946683391 y1[1] (numeric) = 0.5296633946684434 absolute error = 1.042499420123022e-13 relative error = 1.968230069544087e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.848207927543955 y2[1] (numeric) = -0.8482079275438901 absolute error = 6.494804694057166e-14 relative error = 7.657090299619485e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y1[1] (analytic) = 0.5305113376228398 y1[1] (numeric) = 0.530511337622944 absolute error = 1.042499420123022e-13 relative error = 1.965084148426199e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8476778401336356 y2[1] (numeric) = -0.8476778401335704 absolute error = 6.517009154549669e-14 relative error = 7.688073046149547e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.130999999999876 y1[1] (analytic) = 0.5313587500660469 y1[1] (numeric) = 0.5313587500661512 absolute error = 1.042499420123022e-13 relative error = 1.96195022664714e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8471469050455466 y2[1] (numeric) = -0.8471469050454813 absolute error = 6.52811138479592e-14 relative error = 7.705996853573984e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.131999999999876 y1[1] (analytic) = 0.5322056311505483 y1[1] (numeric) = 0.5322056311506527 absolute error = 1.043609643147647e-13 relative error = 1.960914319699174e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8466151228106231 y2[1] (numeric) = -0.8466151228105577 absolute error = 6.539213615042172e-14 relative error = 7.723950870772373e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.132999999999876 y1[1] (analytic) = 0.533051980029463 y1[1] (numeric) = 0.5330519800295673 absolute error = 1.043609643147647e-13 relative error = 1.957800894182899e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8460824939606475 y2[1] (numeric) = -0.8460824939605819 absolute error = 6.561418075534675e-14 relative error = 7.755057127845333e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.133999999999876 y1[1] (analytic) = 0.5338977958564419 y1[1] (numeric) = 0.5338977958565464 absolute error = 1.044719866172272e-13 relative error = 1.956778758556972e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8455490190282483 y2[1] (numeric) = -0.8455490190281826 absolute error = 6.572520305780927e-14 relative error = 7.77308016196912e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.134999999999875 y1[1] (analytic) = 0.5347430777856697 y1[1] (numeric) = 0.5347430777857741 absolute error = 1.044719866172272e-13 relative error = 1.953685628803981e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8450146985469006 y2[1] (numeric) = -0.8450146985468348 absolute error = 6.583622536027178e-14 relative error = 7.791133748736525e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.135999999999875 y1[1] (analytic) = 0.5355878249718641 y1[1] (numeric) = 0.5355878249719686 absolute error = 1.044719866172272e-13 relative error = 1.950604209920482e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8444795330509248 y2[1] (numeric) = -0.8444795330508588 absolute error = 6.605826996519681e-14 relative error = 7.82236482707193e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.136999999999875 y1[1] (analytic) = 0.5364320365702782 y1[1] (numeric) = 0.5364320365703826 absolute error = 1.044719866172272e-13 relative error = 1.947534440433077e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8439435230754863 y2[1] (numeric) = -0.8439435230754201 absolute error = 6.616929226765933e-14 relative error = 7.840488191262633e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.137999999999875 y1[1] (analytic) = 0.5372757117367003 y1[1] (numeric) = 0.5372757117368049 absolute error = 1.045830089196897e-13 relative error = 1.94654265277754e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.843406669156595 y2[1] (numeric) = -0.8434066691565286 absolute error = 6.639133687258436e-14 relative error = 7.871806010139281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.138999999999875 y1[1] (analytic) = 0.5381188496274556 y1[1] (numeric) = 0.5381188496275602 absolute error = 1.045830089196897e-13 relative error = 1.943492761721569e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8428689718311049 y2[1] (numeric) = -0.8428689718310384 absolute error = 6.650235917504688e-14 relative error = 7.889999679377532e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y1[1] (analytic) = 0.538961449399406 y1[1] (numeric) = 0.5389614493995106 absolute error = 1.045830089196897e-13 relative error = 1.940454350422136e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8423304316367132 y2[1] (numeric) = -0.8423304316366464 absolute error = 6.672440377997191e-14 relative error = 7.921404863685291e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.140999999999875 y1[1] (analytic) = 0.539803510209952 y1[1] (numeric) = 0.5398035102100567 absolute error = 1.046940312221523e-13 relative error = 1.939484076000773e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.84179104911196 y2[1] (numeric) = -0.8417910491118932 absolute error = 6.683542608243442e-14 relative error = 7.939669369606848e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.141999999999875 y1[1] (analytic) = 0.5406450312170328 y1[1] (numeric) = 0.5406450312171375 absolute error = 1.046940312221523e-13 relative error = 1.936465243867646e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8412508247962278 y2[1] (numeric) = -0.8412508247961609 absolute error = 6.694644838489694e-14 relative error = 7.95796525978005e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.142999999999875 y1[1] (analytic) = 0.5414860115791273 y1[1] (numeric) = 0.541486011579232 absolute error = 1.046940312221523e-13 relative error = 1.933457725285177e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.840709759229741 y2[1] (numeric) = -0.8407097592296738 absolute error = 6.716849298982197e-14 relative error = 7.989498427062606e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.143999999999874 y1[1] (analytic) = 0.5423264504552555 y1[1] (numeric) = 0.5423264504553602 absolute error = 1.046940312221523e-13 relative error = 1.930461461620892e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.840167852953565 y2[1] (numeric) = -0.8401678529534977 absolute error = 6.727951529228449e-14 relative error = 8.007865934856584e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.144999999999874 y1[1] (analytic) = 0.5431663470049783 y1[1] (numeric) = 0.5431663470050831 absolute error = 1.048050535246148e-13 relative error = 1.929520378103509e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8396251065096061 y2[1] (numeric) = -0.8396251065095386 absolute error = 6.750155989720952e-14 relative error = 8.039488025533124e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.145999999999874 y1[1] (analytic) = 0.5440057003883995 y1[1] (numeric) = 0.5440057003885043 absolute error = 1.048050535246148e-13 relative error = 1.926543296325534e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8390815204406107 y2[1] (numeric) = -0.839081520440543 absolute error = 6.772360450213455e-14 relative error = 8.07115910103373e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.146999999999874 y1[1] (analytic) = 0.5448445097661656 y1[1] (numeric) = 0.5448445097662704 absolute error = 1.048050535246148e-13 relative error = 1.923577307764276e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8385370952901646 y2[1] (numeric) = -0.8385370952900968 absolute error = 6.783462680459706e-14 relative error = 8.089639347573979e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.147999999999874 y1[1] (analytic) = 0.5456827742994673 y1[1] (numeric) = 0.5456827742995721 absolute error = 1.048050535246148e-13 relative error = 1.920622355344836e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8379918316026933 y2[1] (numeric) = -0.8379918316026252 absolute error = 6.80566714095221e-14 relative error = 8.121400333862558e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.148999999999874 y1[1] (analytic) = 0.5465204931500401 y1[1] (numeric) = 0.5465204931501451 absolute error = 1.049160758270773e-13 relative error = 1.919709821352919e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8374457299234601 y2[1] (numeric) = -0.8374457299233919 absolute error = 6.816769371198461e-14 relative error = 8.139953584600034e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y1[1] (analytic) = 0.5473576654801655 y1[1] (numeric) = 0.5473576654802703 absolute error = 1.048050535246148e-13 relative error = 1.914745332609443e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8368987907985668 y2[1] (numeric) = -0.8368987907984985 absolute error = 6.827871601444713e-14 relative error = 8.158539212285841e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.150999999999874 y1[1] (analytic) = 0.5481942904526709 y1[1] (numeric) = 0.5481942904527758 absolute error = 1.049160758270773e-13 relative error = 1.913848386498936e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8363510147749524 y2[1] (numeric) = -0.8363510147748839 absolute error = 6.850076061937216e-14 relative error = 8.190431936978581e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.151999999999874 y1[1] (analytic) = 0.5490303672309316 y1[1] (numeric) = 0.5490303672310365 absolute error = 1.049160758270773e-13 relative error = 1.910933931691756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8358024024003931 y2[1] (numeric) = -0.8358024024003243 absolute error = 6.872280522429719e-14 relative error = 8.222374693698878e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.152999999999873 y1[1] (analytic) = 0.5498658949788707 y1[1] (numeric) = 0.5498658949789756 absolute error = 1.049160758270773e-13 relative error = 1.90803024492197e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8352529542235008 y2[1] (numeric) = -0.8352529542234319 absolute error = 6.883382752675971e-14 relative error = 8.24107561412358e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.153999999999873 y1[1] (analytic) = 0.5507008728609607 y1[1] (numeric) = 0.5507008728610657 absolute error = 1.050270981295398e-13 relative error = 1.90715328965997e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.834702670793724 y2[1] (numeric) = -0.834702670793655 absolute error = 6.894484982922222e-14 relative error = 8.259809419761667e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.154999999999873 y1[1] (analytic) = 0.5515353000422237 y1[1] (numeric) = 0.5515353000423288 absolute error = 1.050270981295398e-13 relative error = 1.90426792485448e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.834151552661346 y2[1] (numeric) = -0.8341515526612768 absolute error = 6.916689443414725e-14 relative error = 8.291885834591027e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.155999999999873 y1[1] (analytic) = 0.5523691756882327 y1[1] (numeric) = 0.5523691756883378 absolute error = 1.050270981295398e-13 relative error = 1.901393176016379e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8335996003774848 y2[1] (numeric) = -0.8335996003774154 absolute error = 6.938893903907228e-14 relative error = 8.324012992286752e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.156999999999873 y1[1] (analytic) = 0.553202498965112 y1[1] (numeric) = 0.5532024989652171 absolute error = 1.051381204320023e-13 relative error = 1.900535891083039e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8330468144940927 y2[1] (numeric) = -0.8330468144940232 absolute error = 6.94999613415348e-14 relative error = 8.342863826175479e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.157999999999873 y1[1] (analytic) = 0.5540352690395385 y1[1] (numeric) = 0.5540352690396436 absolute error = 1.051381204320023e-13 relative error = 1.897679196746213e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8324931955639555 y2[1] (numeric) = -0.8324931955638858 absolute error = 6.972200594645983e-14 relative error = 8.375084183027836e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.158999999999873 y1[1] (analytic) = 0.5548674850787421 y1[1] (numeric) = 0.5548674850788472 absolute error = 1.051381204320023e-13 relative error = 1.894832969300445e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8319387441406921 y2[1] (numeric) = -0.8319387441406223 absolute error = 6.983302824892235e-14 relative error = 8.394010826007718e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y1[1] (analytic) = 0.5556991462505068 y1[1] (numeric) = 0.5556991462506119 absolute error = 1.051381204320023e-13 relative error = 1.891997156040375e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8313834607787539 y2[1] (numeric) = -0.831383460778684 absolute error = 6.994405055138486e-14 relative error = 8.412971131981446e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.160999999999873 y1[1] (analytic) = 0.5565302517231715 y1[1] (numeric) = 0.5565302517232767 absolute error = 1.052491427344648e-13 relative error = 1.891166606102443e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8308273460334242 y2[1] (numeric) = -0.8308273460333542 absolute error = 7.005507285384738e-14 relative error = 8.431965219766497e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.161999999999872 y1[1] (analytic) = 0.557360800665631 y1[1] (numeric) = 0.5573608006657362 absolute error = 1.052491427344648e-13 relative error = 1.888348491834562e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8302704004608178 y2[1] (numeric) = -0.8302704004607475 absolute error = 7.027711745877241e-14 relative error = 8.464365033339392e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.162999999999872 y1[1] (analytic) = 0.5581907922473363 y1[1] (numeric) = 0.5581907922474415 absolute error = 1.052491427344648e-13 relative error = 1.885540646607954e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8297126246178801 y2[1] (numeric) = -0.8297126246178096 absolute error = 7.049916206369744e-14 relative error = 8.496816846214129e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.163999999999872 y1[1] (analytic) = 0.5590202256382957 y1[1] (numeric) = 0.559020225638401 absolute error = 1.053601650369274e-13 relative error = 1.884729034922232e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8291540190623868 y2[1] (numeric) = -0.8291540190623162 absolute error = 7.061018436615996e-14 relative error = 8.515931026422141e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.164999999999872 y1[1] (analytic) = 0.5598491000090762 y1[1] (numeric) = 0.5598491000091815 absolute error = 1.053601650369274e-13 relative error = 1.881938633735756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8285945843529436 y2[1] (numeric) = -0.8285945843528729 absolute error = 7.072120666862247e-14 relative error = 8.53507951947927e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.165999999999872 y1[1] (analytic) = 0.5606774145308032 y1[1] (numeric) = 0.5606774145309087 absolute error = 1.054711873393899e-13 relative error = 1.88113850506449e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8280343210489852 y2[1] (numeric) = -0.8280343210489143 absolute error = 7.09432512735475e-14 relative error = 8.567670381545769e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.166999999999872 y1[1] (analytic) = 0.5615051683751625 y1[1] (numeric) = 0.561505168375268 absolute error = 1.054711873393899e-13 relative error = 1.878365387884028e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8274732297107746 y2[1] (numeric) = -0.8274732297107036 absolute error = 7.105427357601002e-14 relative error = 8.586896956273196e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.167999999999872 y1[1] (analytic) = 0.5623323607144002 y1[1] (numeric) = 0.5623323607145057 absolute error = 1.054711873393899e-13 relative error = 1.87560230759967e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8269113108994034 y2[1] (numeric) = -0.8269113108993321 absolute error = 7.127631818093505e-14 relative error = 8.619584378814484e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.168999999999872 y1[1] (analytic) = 0.563158990721324 y1[1] (numeric) = 0.5631589907214295 absolute error = 1.054711873393899e-13 relative error = 1.872849214469554e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8263485651767901 y2[1] (numeric) = -0.8263485651767186 absolute error = 7.149836278586008e-14 relative error = 8.65232491455511e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y1[1] (analytic) = 0.5639850575693041 y1[1] (numeric) = 0.5639850575694095 absolute error = 1.054711873393899e-13 relative error = 1.870106059085249e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8257849931056804 y2[1] (numeric) = -0.8257849931056088 absolute error = 7.16093850883226e-14 relative error = 8.671674308224967e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.170999999999871 y1[1] (analytic) = 0.5648105604322736 y1[1] (numeric) = 0.564810560432379 absolute error = 1.053601650369274e-13 relative error = 1.865407136798057e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8252205952496466 y2[1] (numeric) = -0.8252205952495748 absolute error = 7.183142969324763e-14 relative error = 8.704512479056235e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.171999999999871 y1[1] (analytic) = 0.5656354984847297 y1[1] (numeric) = 0.5656354984848351 absolute error = 1.053601650369274e-13 relative error = 1.862686576764979e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8246553721730863 y2[1] (numeric) = -0.8246553721730143 absolute error = 7.194245199571014e-14 relative error = 8.723941469771957e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.172999999999871 y1[1] (analytic) = 0.5664598709017344 y1[1] (numeric) = 0.5664598709018399 absolute error = 1.054711873393899e-13 relative error = 1.861935730266165e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8240893244412224 y2[1] (numeric) = -0.8240893244411504 absolute error = 7.205347429817266e-14 relative error = 8.743405861619292e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.173999999999871 y1[1] (analytic) = 0.5672836768589156 y1[1] (numeric) = 0.567283676859021 absolute error = 1.054711873393899e-13 relative error = 1.859231838352732e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8235224526201028 y2[1] (numeric) = -0.8235224526200307 absolute error = 7.216449660063518e-14 relative error = 8.76290578004741e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.174999999999871 y1[1] (analytic) = 0.5681069155324669 y1[1] (numeric) = 0.5681069155325725 absolute error = 1.055822096418524e-13 relative error = 1.858491892197683e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8229547572765993 y2[1] (numeric) = -0.8229547572765269 absolute error = 7.238654120556021e-14 relative error = 8.795932044321451e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.175999999999871 y1[1] (analytic) = 0.5689295860991503 y1[1] (numeric) = 0.5689295860992558 absolute error = 1.054711873393899e-13 relative error = 1.853853093887244e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.822386238978407 y2[1] (numeric) = -0.8223862389783344 absolute error = 7.260858581048524e-14 relative error = 8.829012739887503e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.176999999999871 y1[1] (analytic) = 0.5697516877362949 y1[1] (numeric) = 0.5697516877364004 absolute error = 1.054711873393899e-13 relative error = 1.851178146719354e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8218168982940443 y2[1] (numeric) = -0.8218168982939715 absolute error = 7.271960811294775e-14 relative error = 8.848638700895736e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.177999999999871 y1[1] (analytic) = 0.5705732196217993 y1[1] (numeric) = 0.5705732196219048 absolute error = 1.054711873393899e-13 relative error = 1.848512753705839e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8212467357928518 y2[1] (numeric) = -0.8212467357927788 absolute error = 7.294165271787278e-14 relative error = 8.881819499404539e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.178999999999871 y1[1] (analytic) = 0.5713941809341315 y1[1] (numeric) = 0.5713941809342371 absolute error = 1.055822096418524e-13 relative error = 1.847799875547272e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8206757520449919 y2[1] (numeric) = -0.8206757520449188 absolute error = 7.30526750203353e-14 relative error = 8.901527166886531e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.17999999999987 y1[1] (analytic) = 0.5722145708523305 y1[1] (numeric) = 0.5722145708524361 absolute error = 1.055822096418524e-13 relative error = 1.845150665852227e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8201039476214483 y2[1] (numeric) = -0.8201039476213752 absolute error = 7.316369732279782e-14 relative error = 8.921271204094903e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18099999999987 y1[1] (analytic) = 0.5730343885560063 y1[1] (numeric) = 0.5730343885561119 absolute error = 1.055822096418524e-13 relative error = 1.842510881553021e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8195313230940255 y2[1] (numeric) = -0.8195313230939522 absolute error = 7.338574192772285e-14 relative error = 8.95459878832517e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18199999999987 y1[1] (analytic) = 0.5738536332253412 y1[1] (numeric) = 0.5738536332254469 absolute error = 1.056932319443149e-13 relative error = 1.841815156772062e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8189578790353479 y2[1] (numeric) = -0.8189578790352744 absolute error = 7.349676423018536e-14 relative error = 8.974425438919684e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18299999999987 y1[1] (analytic) = 0.5746723040410908 y1[1] (numeric) = 0.5746723040411965 absolute error = 1.056932319443149e-13 relative error = 1.839191330451824e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8183836160188594 y2[1] (numeric) = -0.8183836160187858 absolute error = 7.360778653264788e-14 relative error = 8.994288875273819e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18399999999987 y1[1] (analytic) = 0.5754904001845843 y1[1] (numeric) = 0.57549040018469 absolute error = 1.056932319443149e-13 relative error = 1.836576803199751e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8178085346188233 y2[1] (numeric) = -0.8178085346187495 absolute error = 7.382983113757291e-14 relative error = 9.02776481441156e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18499999999987 y1[1] (analytic) = 0.5763079208377255 y1[1] (numeric) = 0.5763079208378312 absolute error = 1.056932319443149e-13 relative error = 1.833971530196538e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8172326354103205 y2[1] (numeric) = -0.8172326354102466 absolute error = 7.394085344003543e-14 relative error = 9.047711781959223e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18599999999987 y1[1] (analytic) = 0.5771248651829939 y1[1] (numeric) = 0.5771248651830996 absolute error = 1.056932319443149e-13 relative error = 1.831375466915671e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8166559189692506 y2[1] (numeric) = -0.8166559189691764 absolute error = 7.416289804496046e-14 relative error = 9.081290703013065e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18699999999987 y1[1] (analytic) = 0.5779412324034452 y1[1] (numeric) = 0.5779412324035509 absolute error = 1.056932319443149e-13 relative error = 1.828788569121044e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8160783858723296 y2[1] (numeric) = -0.8160783858722553 absolute error = 7.427392034742297e-14 relative error = 9.101321837856231e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.18799999999987 y1[1] (analytic) = 0.5787570216827123 y1[1] (numeric) = 0.578757021682818 absolute error = 1.056932319443149e-13 relative error = 1.826210792864615e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8155000366970909 y2[1] (numeric) = -0.8155000366970164 absolute error = 7.4495964952348e-14 relative error = 9.135004488052373e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.188999999999869 y1[1] (analytic) = 0.5795722322050059 y1[1] (numeric) = 0.5795722322051116 absolute error = 1.056932319443149e-13 relative error = 1.823642094484077e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8149208720218833 y2[1] (numeric) = -0.8149208720218087 absolute error = 7.460698725481052e-14 relative error = 9.155120431472648e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.189999999999869 y1[1] (analytic) = 0.5803868631551156 y1[1] (numeric) = 0.5803868631552213 absolute error = 1.056932319443149e-13 relative error = 1.821082430600554e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8143408924258717 y2[1] (numeric) = -0.814340892425797 absolute error = 7.471800955727304e-14 relative error = 9.175274169849515e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.190999999999869 y1[1] (analytic) = 0.5812009137184104 y1[1] (numeric) = 0.5812009137185162 absolute error = 1.058042542467774e-13 relative error = 1.82044198055131e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8137600984890355 y2[1] (numeric) = -0.8137600984889606 absolute error = 7.494005416219807e-14 relative error = 9.209108962376557e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.191999999999869 y1[1] (analytic) = 0.5820143830808401 y1[1] (numeric) = 0.5820143830809459 absolute error = 1.058042542467774e-13 relative error = 1.817897586769458e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8131784907921686 y2[1] (numeric) = -0.8131784907920936 absolute error = 7.505107646466058e-14 relative error = 9.229348453566273e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.192999999999869 y1[1] (analytic) = 0.5828272704289351 y1[1] (numeric) = 0.5828272704290409 absolute error = 1.058042542467774e-13 relative error = 1.81536210838093e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8125960699168787 y2[1] (numeric) = -0.8125960699168036 absolute error = 7.51620987671231e-14 relative error = 9.249626173408826e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.193999999999869 y1[1] (analytic) = 0.5836395749498083 y1[1] (numeric) = 0.5836395749499141 absolute error = 1.058042542467774e-13 relative error = 1.81283550307356e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8120128364455866 y2[1] (numeric) = -0.8120128364455113 absolute error = 7.538414337204813e-14 relative error = 9.283614739642069e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.194999999999869 y1[1] (analytic) = 0.5844512958311552 y1[1] (numeric) = 0.584451295831261 absolute error = 1.058042542467774e-13 relative error = 1.8103177288077e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8114287909615258 y2[1] (numeric) = -0.8114287909614503 absolute error = 7.549516567451064e-14 relative error = 9.303979168036482e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.195999999999869 y1[1] (analytic) = 0.585262432261255 y1[1] (numeric) = 0.5852624322613608 absolute error = 1.058042542467774e-13 relative error = 1.807808743814049e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8108439340487416 y2[1] (numeric) = -0.8108439340486658 absolute error = 7.571721027943568e-14 relative error = 9.33807445550726e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.196999999999869 y1[1] (analytic) = 0.5860729834289712 y1[1] (numeric) = 0.586072983429077 absolute error = 1.058042542467774e-13 relative error = 1.805308506591488e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8102582662920909 y2[1] (numeric) = -0.8102582662920149 absolute error = 7.593925488436071e-14 relative error = 9.372228342930017e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.197999999999869 y1[1] (analytic) = 0.5868829485237529 y1[1] (numeric) = 0.5868829485238587 absolute error = 1.058042542467774e-13 relative error = 1.802816975904953e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8096717882772414 y2[1] (numeric) = -0.8096717882771652 absolute error = 7.616129948928574e-14 relative error = 9.406441053273698e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.198999999999868 y1[1] (analytic) = 0.5876923267356349 y1[1] (numeric) = 0.5876923267357408 absolute error = 1.059152765492399e-13 relative error = 1.802223233669757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8090845005906712 y2[1] (numeric) = -0.8090845005905948 absolute error = 7.638334409421077e-14 relative error = 9.440712810398321e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.199999999999868 y1[1] (analytic) = 0.5885011172552392 y1[1] (numeric) = 0.588501117255345 absolute error = 1.058042542467774e-13 relative error = 1.797859870517272e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8084964038196677 y2[1] (numeric) = -0.8084964038195912 absolute error = 7.649436639667329e-14 relative error = 9.461311891467e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.200999999999868 y1[1] (analytic) = 0.5893093192737753 y1[1] (numeric) = 0.5893093192738811 absolute error = 1.058042542467774e-13 relative error = 1.795394214657311e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8079074985523278 y2[1] (numeric) = -0.8079074985522512 absolute error = 7.66053886991358e-14 relative error = 9.481950450565611e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.201999999999868 y1[1] (analytic) = 0.5901169319830412 y1[1] (numeric) = 0.590116931983147 absolute error = 1.058042542467774e-13 relative error = 1.792937103011612e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8073177853775567 y2[1] (numeric) = -0.8073177853774799 absolute error = 7.682743330406083e-14 relative error = 9.516380624283051e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.202999999999868 y1[1] (analytic) = 0.5909239545754243 y1[1] (numeric) = 0.59092395457553 absolute error = 1.056932319443149e-13 relative error = 1.788609703938215e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8067272648850675 y2[1] (numeric) = -0.8067272648849905 absolute error = 7.704947790898586e-14 relative error = 9.550870692335274e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.203999999999868 y1[1] (analytic) = 0.5917303862439021 y1[1] (numeric) = 0.5917303862440079 absolute error = 1.058042542467774e-13 relative error = 1.788048352872089e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8061359376653806 y2[1] (numeric) = -0.8061359376653034 absolute error = 7.716050021144838e-14 relative error = 9.571648726505104e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.204999999999868 y1[1] (analytic) = 0.5925362261820429 y1[1] (numeric) = 0.5925362261821487 absolute error = 1.058042542467774e-13 relative error = 1.785616635264956e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8055438043098233 y2[1] (numeric) = -0.8055438043097459 absolute error = 7.738254481637341e-14 relative error = 9.606249145280622e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.205999999999868 y1[1] (analytic) = 0.593341473584007 y1[1] (numeric) = 0.5933414735841128 absolute error = 1.058042542467774e-13 relative error = 1.783193303641488e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8049508654105287 y2[1] (numeric) = -0.8049508654104512 absolute error = 7.749356711883593e-14 relative error = 9.627117684917804e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.206999999999868 y1[1] (analytic) = 0.5941461276445469 y1[1] (numeric) = 0.5941461276446527 absolute error = 1.058042542467774e-13 relative error = 1.780778319068264e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8043571215604359 y2[1] (numeric) = -0.8043571215603582 absolute error = 7.771561172376096e-14 relative error = 9.661829259744018e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.207999999999867 y1[1] (analytic) = 0.5949501875590086 y1[1] (numeric) = 0.5949501875591144 absolute error = 1.058042542467774e-13 relative error = 1.778371642857638e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8037625733532885 y2[1] (numeric) = -0.8037625733532107 absolute error = 7.782663402622347e-14 relative error = 9.682788998439131e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.208999999999867 y1[1] (analytic) = 0.5957536525233325 y1[1] (numeric) = 0.5957536525234383 absolute error = 1.058042542467774e-13 relative error = 1.775973236565824e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8031672213836347 y2[1] (numeric) = -0.8031672213835567 absolute error = 7.80486786311485e-14 relative error = 9.717612541096018e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.209999999999867 y1[1] (analytic) = 0.5965565217340534 y1[1] (numeric) = 0.5965565217341592 absolute error = 1.058042542467774e-13 relative error = 1.773583061990985e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8025710662468265 y2[1] (numeric) = -0.8025710662467482 absolute error = 7.827072323607354e-14 relative error = 9.752497508052675e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.210999999999867 y1[1] (analytic) = 0.5973587943883022 y1[1] (numeric) = 0.5973587943884081 absolute error = 1.059152765492399e-13 relative error = 1.773059634247079e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8019741085390188 y2[1] (numeric) = -0.8019741085389405 absolute error = 7.838174553853605e-14 relative error = 9.773600507044612e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.211999999999867 y1[1] (analytic) = 0.5981604696838065 y1[1] (numeric) = 0.5981604696839125 absolute error = 1.059152765492399e-13 relative error = 1.770683318562121e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8013763488571696 y2[1] (numeric) = -0.801376348857091 absolute error = 7.860379014346108e-14 relative error = 9.808598700917083e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.212999999999867 y1[1] (analytic) = 0.5989615468188909 y1[1] (numeric) = 0.5989615468189969 absolute error = 1.060262988517024e-13 relative error = 1.770168709741258e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8007777877990382 y2[1] (numeric) = -0.8007777877989595 absolute error = 7.87148124459236e-14 relative error = 9.829794687771451e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.213999999999867 y1[1] (analytic) = 0.5997620249924785 y1[1] (numeric) = 0.5997620249925845 absolute error = 1.059152765492399e-13 relative error = 1.765955031090343e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.8001784259631858 y2[1] (numeric) = -0.8001784259631068 absolute error = 7.893685705084863e-14 relative error = 9.864906936953624e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.214999999999867 y1[1] (analytic) = 0.600561903404091 y1[1] (numeric) = 0.600561903404197 absolute error = 1.060262988517024e-13 relative error = 1.765451625398259e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.799578263948974 y2[1] (numeric) = -0.799578263948895 absolute error = 7.904787935331115e-14 relative error = 9.886196626069824e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.215999999999867 y1[1] (analytic) = 0.6013611812538502 y1[1] (numeric) = 0.6013611812539562 absolute error = 1.060262988517024e-13 relative error = 1.763105138090814e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7989773023565651 y2[1] (numeric) = -0.7989773023564858 absolute error = 7.926992395823618e-14 relative error = 9.921423765660347e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.216999999999866 y1[1] (analytic) = 0.6021598577424783 y1[1] (numeric) = 0.6021598577425843 absolute error = 1.060262988517024e-13 relative error = 1.760766638433843e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7983755417869203 y2[1] (numeric) = -0.7983755417868408 absolute error = 7.949196856316121e-14 relative error = 9.956713902487878e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.217999999999866 y1[1] (analytic) = 0.6029579320712987 y1[1] (numeric) = 0.6029579320714048 absolute error = 1.06137321154165e-13 relative error = 1.760277384353481e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7977729828418002 y2[1] (numeric) = -0.7977729828417205 absolute error = 7.971401316808624e-14 relative error = 9.992067277602163e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.218999999999866 y1[1] (analytic) = 0.6037554034422373 y1[1] (numeric) = 0.6037554034423435 absolute error = 1.06137321154165e-13 relative error = 1.757952318919815e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7971696261237637 y2[1] (numeric) = -0.7971696261236839 absolute error = 7.982503547054876e-14 relative error = 1.001355707174869e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.219999999999866 y1[1] (analytic) = 0.6045522710578228 y1[1] (numeric) = 0.604552271057929 absolute error = 1.06137321154165e-13 relative error = 1.755635140836538e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7965654722361676 y2[1] (numeric) = -0.7965654722360876 absolute error = 7.993605777301127e-14 relative error = 1.003508946334441e-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 y1[1] (analytic) = 0.6053485341211877 y1[1] (numeric) = 0.6053485341212939 absolute error = 1.06137321154165e-13 relative error = 1.753325814330242e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7959605217831657 y2[1] (numeric) = -0.7959605217830855 absolute error = 8.01581023779363e-14 relative error = 1.00706128236562e-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 y1[1] (analytic) = 0.6061441918360688 y1[1] (numeric) = 0.6061441918361751 absolute error = 1.062483434566275e-13 relative error = 1.752855919229236e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7953547753697082 y2[1] (numeric) = -0.795354775369628 absolute error = 8.026912468039882e-14 relative error = 1.009224149601503e-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 y1[1] (analytic) = 0.6069392434068087 y1[1] (numeric) = 0.606939243406915 absolute error = 1.062483434566275e-13 relative error = 1.750559790140529e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7947482336015417 y2[1] (numeric) = -0.7947482336014613 absolute error = 8.038014698286133e-14 relative error = 1.011391326012825e-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 y1[1] (analytic) = 0.6077336880383557 y1[1] (numeric) = 0.6077336880384619 absolute error = 1.062483434566275e-13 relative error = 1.748271414730622e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7941408970852077 y2[1] (numeric) = -0.7941408970851273 absolute error = 8.049116928532385e-14 relative error = 1.013562827210591e-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 y1[1] (analytic) = 0.6085275249362653 y1[1] (numeric) = 0.6085275249363715 absolute error = 1.062483434566275e-13 relative error = 1.745990758063992e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7935327664280429 y2[1] (numeric) = -0.7935327664279623 absolute error = 8.060219158778636e-14 relative error = 1.015738668871909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.225999999999865 y1[1] (analytic) = 0.6093207533067007 y1[1] (numeric) = 0.6093207533068069 absolute error = 1.062483434566275e-13 relative error = 1.743717785419784e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7929238422381779 y2[1] (numeric) = -0.7929238422380971 absolute error = 8.08242361927114e-14 relative error = 1.01931903024343e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.226999999999865 y1[1] (analytic) = 0.6101133723564336 y1[1] (numeric) = 0.6101133723565397 absolute error = 1.06137321154165e-13 relative error = 1.739632762747554e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7923141251245366 y2[1] (numeric) = -0.7923141251244556 absolute error = 8.093525849517391e-14 relative error = 1.021504677610694e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.227999999999865 y1[1] (analytic) = 0.6109053812928449 y1[1] (numeric) = 0.6109053812929511 absolute error = 1.062483434566275e-13 relative error = 1.739194754378764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7917036156968362 y2[1] (numeric) = -0.7917036156967551 absolute error = 8.115730310009894e-14 relative error = 1.02509703746479e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.228999999999865 y1[1] (analytic) = 0.6116967793239259 y1[1] (numeric) = 0.6116967793240321 absolute error = 1.062483434566275e-13 relative error = 1.736944627598952e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7910923145655862 y2[1] (numeric) = -0.7910923145655048 absolute error = 8.137934770502397e-14 relative error = 1.028695971464619e-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 y1[1] (analytic) = 0.6124875656582784 y1[1] (numeric) = 0.6124875656583847 absolute error = 1.062483434566275e-13 relative error = 1.734702048072368e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7904802223420875 y2[1] (numeric) = -0.7904802223420059 absolute error = 8.160139230994901e-14 relative error = 1.032301504877313e-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 y1[1] (analytic) = 0.6132777395051164 y1[1] (numeric) = 0.6132777395052227 absolute error = 1.062483434566275e-13 relative error = 1.732466982127289e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7898673396384323 y2[1] (numeric) = -0.7898673396383505 absolute error = 8.171241461241152e-14 relative error = 1.034508081443347e-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 y1[1] (analytic) = 0.614067300074266 y1[1] (numeric) = 0.6140673000743723 absolute error = 1.062483434566275e-13 relative error = 1.730239396297078e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7892536670675032 y2[1] (numeric) = -0.7892536670674214 absolute error = 8.182343691487404e-14 relative error = 1.036719122495706e-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 y1[1] (analytic) = 0.6148562465761668 y1[1] (numeric) = 0.6148562465762729 absolute error = 1.06137321154165e-13 relative error = 1.726213594562822e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7886392052429729 y2[1] (numeric) = -0.7886392052428909 absolute error = 8.204548151979907e-14 relative error = 1.040342414812126e-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 y1[1] (analytic) = 0.6156445782218721 y1[1] (numeric) = 0.6156445782219783 absolute error = 1.06137321154165e-13 relative error = 1.724003181522605e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7880239547793031 y2[1] (numeric) = -0.7880239547792209 absolute error = 8.215650382226158e-14 relative error = 1.042563532796038e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.234999999999864 y1[1] (analytic) = 0.6164322942230506 y1[1] (numeric) = 0.6164322942231567 absolute error = 1.06137321154165e-13 relative error = 1.721800141699911e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7874079162917442 y2[1] (numeric) = -0.7874079162916618 absolute error = 8.237854842718662e-14 relative error = 1.046199139261185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.235999999999864 y1[1] (analytic) = 0.6172193937919861 y1[1] (numeric) = 0.6172193937920923 absolute error = 1.062483434566275e-13 relative error = 1.721403191884069e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7867910903963345 y2[1] (numeric) = -0.7867910903962521 absolute error = 8.248957072964913e-14 relative error = 1.048430412297834e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.236999999999864 y1[1] (analytic) = 0.6180058761415793 y1[1] (numeric) = 0.6180058761416856 absolute error = 1.062483434566275e-13 relative error = 1.719212511699274e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7861734777099002 y2[1] (numeric) = -0.7861734777098175 absolute error = 8.271161533457416e-14 relative error = 1.052078423906014e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.237999999999864 y1[1] (analytic) = 0.6187917404853479 y1[1] (numeric) = 0.6187917404854542 absolute error = 1.062483434566275e-13 relative error = 1.717029115050757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7855550788500535 y2[1] (numeric) = -0.7855550788499707 absolute error = 8.282263763703668e-14 relative error = 1.054319930796932e-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 y1[1] (analytic) = 0.6195769860374276 y1[1] (numeric) = 0.6195769860375339 absolute error = 1.062483434566275e-13 relative error = 1.714852969864978e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7849358944351935 y2[1] (numeric) = -0.7849358944351105 absolute error = 8.304468224196171e-14 relative error = 1.057980439303481e-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 y1[1] (analytic) = 0.6203616120125729 y1[1] (numeric) = 0.6203616120126791 absolute error = 1.062483434566275e-13 relative error = 1.712684044261497e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7843159250845044 y2[1] (numeric) = -0.7843159250844213 absolute error = 8.315570454442422e-14 relative error = 1.060232259538333e-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 y1[1] (analytic) = 0.6211456176261578 y1[1] (numeric) = 0.6211456176262641 absolute error = 1.062483434566275e-13 relative error = 1.710522306551537e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7836951714179556 y2[1] (numeric) = -0.7836951714178724 absolute error = 8.326672684688674e-14 relative error = 1.062488705860348e-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 y1[1] (analytic) = 0.6219290020941769 y1[1] (numeric) = 0.6219290020942831 absolute error = 1.062483434566275e-13 relative error = 1.708367725236563e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7830736340563008 y2[1] (numeric) = -0.7830736340562173 absolute error = 8.348877145181177e-14 relative error = 1.066167571232633e-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 y1[1] (analytic) = 0.6227117646332457 y1[1] (numeric) = 0.622711764633352 absolute error = 1.062483434566275e-13 relative error = 1.706220269006863e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7824513136210771 y2[1] (numeric) = -0.7824513136209935 absolute error = 8.359979375427429e-14 relative error = 1.068434448239162e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.243999999999863 y1[1] (analytic) = 0.6234939044606018 y1[1] (numeric) = 0.6234939044607081 absolute error = 1.062483434566275e-13 relative error = 1.704079906740151e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7818282107346051 y2[1] (numeric) = -0.7818282107345212 absolute error = 8.382183835919932e-14 relative error = 1.07212604007267e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.244999999999863 y1[1] (analytic) = 0.6242754207941054 y1[1] (numeric) = 0.6242754207942116 absolute error = 1.062483434566275e-13 relative error = 1.70194660750018e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7812043260199873 y2[1] (numeric) = -0.7812043260199034 absolute error = 8.393286066166183e-14 relative error = 1.07440342898862e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.245999999999863 y1[1] (analytic) = 0.6250563128522402 y1[1] (numeric) = 0.6250563128523464 absolute error = 1.062483434566275e-13 relative error = 1.699820340535365e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7805796601011088 y2[1] (numeric) = -0.7805796601010246 absolute error = 8.415490526658687e-14 relative error = 1.078107841750402e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.246999999999863 y1[1] (analytic) = 0.6258365798541142 y1[1] (numeric) = 0.6258365798542205 absolute error = 1.062483434566275e-13 relative error = 1.697701075277424e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7799542136026351 y2[1] (numeric) = -0.7799542136025508 absolute error = 8.426592756904938e-14 relative error = 1.080395824516701e-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 y1[1] (analytic) = 0.6266162210194606 y1[1] (numeric) = 0.6266162210195668 absolute error = 1.062483434566275e-13 relative error = 1.695588781340018e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7793279871500128 y2[1] (numeric) = -0.7793279871499283 absolute error = 8.448797217397441e-14 relative error = 1.084113153473998e-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 y1[1] (analytic) = 0.6273952355686381 y1[1] (numeric) = 0.6273952355687443 absolute error = 1.062483434566275e-13 relative error = 1.693483428517425e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7787009813694684 y2[1] (numeric) = -0.7787009813693837 absolute error = 8.471001677889944e-14 relative error = 1.087837550042939e-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 y1[1] (analytic) = 0.6281736227226323 y1[1] (numeric) = 0.6281736227227386 absolute error = 1.062483434566275e-13 relative error = 1.691384986783201e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7780731968880075 y2[1] (numeric) = -0.7780731968879225 absolute error = 8.493206138382448e-14 relative error = 1.091569041621276e-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 y1[1] (analytic) = 0.6289513817030562 y1[1] (numeric) = 0.6289513817031624 absolute error = 1.062483434566275e-13 relative error = 1.68929342628887e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7774446343334145 y2[1] (numeric) = -0.7774446343333293 absolute error = 8.515410598874951e-14 relative error = 1.095307655724721e-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 y1[1] (analytic) = 0.6297285117321508 y1[1] (numeric) = 0.6297285117322571 absolute error = 1.062483434566275e-13 relative error = 1.687208717362622e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7768152943342519 y2[1] (numeric) = -0.7768152943341666 absolute error = 8.526512829121202e-14 relative error = 1.09762422178217e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.252999999999862 y1[1] (analytic) = 0.6305050120327861 y1[1] (numeric) = 0.6305050120328924 absolute error = 1.0635936575909e-13 relative error = 1.686891677770824e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7761851775198598 y2[1] (numeric) = -0.7761851775197743 absolute error = 8.548717289613705e-14 relative error = 1.101376003717228e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.253999999999862 y1[1] (analytic) = 0.631280881828462 y1[1] (numeric) = 0.6312808818285682 absolute error = 1.062483434566275e-13 relative error = 1.683059736402699e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7755542845203548 y2[1] (numeric) = -0.7755542845202692 absolute error = 8.559819519859957e-14 relative error = 1.103703466115698e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.254999999999862 y1[1] (analytic) = 0.6320561203433086 y1[1] (numeric) = 0.6320561203434149 absolute error = 1.062483434566275e-13 relative error = 1.680995405897145e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7749226159666299 y2[1] (numeric) = -0.7749226159665442 absolute error = 8.570921750106208e-14 relative error = 1.106035825192034e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.255999999999862 y1[1] (analytic) = 0.6328307268020875 y1[1] (numeric) = 0.6328307268021938 absolute error = 1.062483434566275e-13 relative error = 1.678937810013384e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7742901724903537 y2[1] (numeric) = -0.7742901724902678 absolute error = 8.593126210598712e-14 relative error = 1.109806958153762e-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 y1[1] (analytic) = 0.6336047004301923 y1[1] (numeric) = 0.6336047004302986 absolute error = 1.062483434566275e-13 relative error = 1.676886919943761e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7736569547239694 y2[1] (numeric) = -0.7736569547238834 absolute error = 8.604228440844963e-14 relative error = 1.112150338506921e-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 y1[1] (analytic) = 0.6343780404536496 y1[1] (numeric) = 0.6343780404537559 absolute error = 1.062483434566275e-13 relative error = 1.6748427070497e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.773022963300695 y2[1] (numeric) = -0.7730229633006087 absolute error = 8.626432901337466e-14 relative error = 1.115934883034245e-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 y1[1] (analytic) = 0.6351507460991193 y1[1] (numeric) = 0.6351507460992255 absolute error = 1.062483434566275e-13 relative error = 1.672805142860475e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7723881988545217 y2[1] (numeric) = -0.7723881988544352 absolute error = 8.648637361829969e-14 relative error = 1.11972676105826e-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 y1[1] (analytic) = 0.6359228165938958 y1[1] (numeric) = 0.635922816594002 absolute error = 1.06137321154165e-13 relative error = 1.669028353513928e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7717526620202139 y2[1] (numeric) = -0.7717526620201272 absolute error = 8.670841822322473e-14 relative error = 1.123526001144569e-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 y1[1] (analytic) = 0.6366942511659087 y1[1] (numeric) = 0.6366942511660149 absolute error = 1.06137321154165e-13 relative error = 1.667006117297388e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7711163534333083 y2[1] (numeric) = -0.7711163534332214 absolute error = 8.693046282814976e-14 relative error = 1.127332631983509e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.261999999999861 y1[1] (analytic) = 0.6374650490437235 y1[1] (numeric) = 0.6374650490438296 absolute error = 1.06137321154165e-13 relative error = 1.664990438509281e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7704792737301135 y2[1] (numeric) = -0.7704792737300264 absolute error = 8.704148513061227e-14 relative error = 1.129705731203115e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.262999999999861 y1[1] (analytic) = 0.6382352094565423 y1[1] (numeric) = 0.6382352094566485 absolute error = 1.06137321154165e-13 relative error = 1.6629812893673e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7698414235477093 y2[1] (numeric) = -0.769841423547622 absolute error = 8.737455203799982e-14 relative error = 1.13496818130864e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.263999999999861 y1[1] (analytic) = 0.6390047316342049 y1[1] (numeric) = 0.639004731634311 absolute error = 1.06137321154165e-13 relative error = 1.660978642250849e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7692028035239457 y2[1] (numeric) = -0.7692028035238582 absolute error = 8.748557434046234e-14 relative error = 1.137353815400373e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.264999999999861 y1[1] (analytic) = 0.6397736148071891 y1[1] (numeric) = 0.6397736148072952 absolute error = 1.06137321154165e-13 relative error = 1.658982469699879e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7685634142974426 y2[1] (numeric) = -0.768563414297355 absolute error = 8.759659664292485e-14 relative error = 1.139744554754775e-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 y1[1] (analytic) = 0.6405418582066118 y1[1] (numeric) = 0.6405418582067179 absolute error = 1.06137321154165e-13 relative error = 1.656992744413739e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7679232565075893 y2[1] (numeric) = -0.7679232565075015 absolute error = 8.781864124784988e-14 relative error = 1.143586165722303e-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 y1[1] (analytic) = 0.6413094610642297 y1[1] (numeric) = 0.6413094610643358 absolute error = 1.06137321154165e-13 relative error = 1.65500943925003e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7672823307945434 y2[1] (numeric) = -0.7672823307944555 absolute error = 8.79296635503124e-14 relative error = 1.145988380304009e-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 y1[1] (analytic) = 0.64207642261244 y1[1] (numeric) = 0.642076422612546 absolute error = 1.060262988517024e-13 relative error = 1.651303413701275e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7666406377992308 y2[1] (numeric) = -0.7666406377991427 absolute error = 8.804068585277491e-14 relative error = 1.148395760828833e-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 y1[1] (analytic) = 0.6428427420842812 y1[1] (numeric) = 0.6428427420843872 absolute error = 1.060262988517024e-13 relative error = 1.649334929222887e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7659981781633441 y2[1] (numeric) = -0.765998178163256 absolute error = 8.815170815523743e-14 relative error = 1.150808326549827e-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 y1[1] (analytic) = 0.6436084187134338 y1[1] (numeric) = 0.6436084187135398 absolute error = 1.060262988517024e-13 relative error = 1.647372777746566e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7653549525293433 y2[1] (numeric) = -0.7653549525292549 absolute error = 8.837375276016246e-14 relative error = 1.154676695670487e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27099999999986 y1[1] (analytic) = 0.6443734517342213 y1[1] (numeric) = 0.6443734517343274 absolute error = 1.060262988517024e-13 relative error = 1.645416932779442e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7647109615404536 y2[1] (numeric) = -0.764710961540365 absolute error = 8.859579736508749e-14 relative error = 1.158552731957939e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27199999999986 y1[1] (analytic) = 0.6451378403816109 y1[1] (numeric) = 0.6451378403817168 absolute error = 1.059152765492399e-13 relative error = 1.64174645974245e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7640662058406661 y2[1] (numeric) = -0.7640662058405774 absolute error = 8.870681966755001e-14 relative error = 1.160983419885062e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27299999999986 y1[1] (analytic) = 0.6459015838912138 y1[1] (numeric) = 0.6459015838913198 absolute error = 1.060262988517024e-13 relative error = 1.641524057162863e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7634206860747365 y2[1] (numeric) = -0.7634206860746475 absolute error = 8.892886427247504e-14 relative error = 1.164873652163117e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.27399999999986 y1[1] (analytic) = 0.6466646814992867 y1[1] (numeric) = 0.6466646814993926 absolute error = 1.059152765492399e-13 relative error = 1.637870129286731e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7627744028881843 y2[1] (numeric) = -0.7627744028880953 absolute error = 8.903988657493755e-14 relative error = 1.167316132237725e-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 y1[1] (analytic) = 0.6474271324427319 y1[1] (numeric) = 0.6474271324428378 absolute error = 1.059152765492399e-13 relative error = 1.635941270326799e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7621273569272929 y2[1] (numeric) = -0.7621273569272037 absolute error = 8.926193117986259e-14 relative error = 1.171220667628891e-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 y1[1] (analytic) = 0.6481889359590987 y1[1] (numeric) = 0.6481889359592046 absolute error = 1.059152765492399e-13 relative error = 1.634018581210761e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7614795488391081 y2[1] (numeric) = -0.7614795488390187 absolute error = 8.93729534823251e-14 relative error = 1.173675033276679e-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 y1[1] (analytic) = 0.6489500912865834 y1[1] (numeric) = 0.6489500912866893 absolute error = 1.059152765492399e-13 relative error = 1.632102036371647e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7608309792714378 y2[1] (numeric) = -0.7608309792713482 absolute error = 8.959499808725013e-14 relative error = 1.177593979848785e-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 y1[1] (analytic) = 0.6497105976640311 y1[1] (numeric) = 0.649710597664137 absolute error = 1.059152765492399e-13 relative error = 1.630191610388497e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7601816488728517 y2[1] (numeric) = -0.760181648872762 absolute error = 8.970602038971265e-14 relative error = 1.180060325354117e-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 y1[1] (analytic) = 0.6504704543309351 y1[1] (numeric) = 0.650470454331041 absolute error = 1.059152765492399e-13 relative error = 1.62828727798533e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.75953155829268 y2[1] (numeric) = -0.7595315582925901 absolute error = 8.992806499463768e-14 relative error = 1.183993792131341e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.279999999999859 y1[1] (analytic) = 0.651229660527439 y1[1] (numeric) = 0.6512296605275449 absolute error = 1.059152765492399e-13 relative error = 1.626389014030132e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7588807081810135 y2[1] (numeric) = -0.7588807081809233 absolute error = 9.015010959956271e-14 relative error = 1.18793518701571e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.280999999999859 y1[1] (analytic) = 0.6519882154943367 y1[1] (numeric) = 0.6519882154944426 absolute error = 1.059152765492399e-13 relative error = 1.624496793533839e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7582290991887018 y2[1] (numeric) = -0.7582290991886116 absolute error = 9.026113190202523e-14 relative error = 1.190420309621509e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.281999999999859 y1[1] (analytic) = 0.6527461184730733 y1[1] (numeric) = 0.6527461184731792 absolute error = 1.059152765492399e-13 relative error = 1.622610591649333e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7575767319673543 y2[1] (numeric) = -0.7575767319672638 absolute error = 9.048317650695026e-14 relative error = 1.194376393688519e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.282999999999859 y1[1] (analytic) = 0.6535033687057458 y1[1] (numeric) = 0.6535033687058517 absolute error = 1.059152765492399e-13 relative error = 1.620730383670457e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7569236071693379 y2[1] (numeric) = -0.7569236071692472 absolute error = 9.070522111187529e-14 relative error = 1.198340496355834e-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 y1[1] (analytic) = 0.6542599654351039 y1[1] (numeric) = 0.6542599654352099 absolute error = 1.060262988517024e-13 relative error = 1.620553059229164e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7562697254477774 y2[1] (numeric) = -0.7562697254476866 absolute error = 9.081624341433781e-14 relative error = 1.200844624060109e-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 y1[1] (analytic) = 0.6550159079045512 y1[1] (numeric) = 0.6550159079046572 absolute error = 1.060262988517024e-13 relative error = 1.618682807122794e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7556150874565545 y2[1] (numeric) = -0.7556150874564634 absolute error = 9.103828801926284e-14 relative error = 1.204823587174565e-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 y1[1] (analytic) = 0.6557711953581452 y1[1] (numeric) = 0.6557711953582512 absolute error = 1.060262988517024e-13 relative error = 1.616818481845591e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.754959693850307 y2[1] (numeric) = -0.7549596938502159 absolute error = 9.114931032172535e-14 relative error = 1.207340088010028e-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 y1[1] (analytic) = 0.6565258270405985 y1[1] (numeric) = 0.6565258270407045 absolute error = 1.060262988517024e-13 relative error = 1.614960059220122e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7543035452844288 y2[1] (numeric) = -0.7543035452843374 absolute error = 9.137135492665038e-14 relative error = 1.211334024582856e-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 y1[1] (analytic) = 0.6572798021972793 y1[1] (numeric) = 0.6572798021973855 absolute error = 1.06137321154165e-13 relative error = 1.614796633022178e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.753646642415068 y2[1] (numeric) = -0.7536466424149765 absolute error = 9.14823772291129e-14 relative error = 1.213862997331969e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.288999999999858 y1[1] (analytic) = 0.6580331200742129 y1[1] (numeric) = 0.6580331200743189 absolute error = 1.060262988517024e-13 relative error = 1.611260825894977e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7529889858991275 y2[1] (numeric) = -0.752988985899036 absolute error = 9.159339953157541e-14 relative error = 1.216397600055275e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.289999999999858 y1[1] (analytic) = 0.6587857799180812 y1[1] (numeric) = 0.6587857799181872 absolute error = 1.060262988517024e-13 relative error = 1.609419967517918e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.752330576394264 y2[1] (numeric) = -0.7523305763941722 absolute error = 9.181544413650045e-14 relative error = 1.22041356575655e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.290999999999858 y1[1] (analytic) = 0.6595377809762244 y1[1] (numeric) = 0.6595377809763304 absolute error = 1.060262988517024e-13 relative error = 1.607584916435964e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7516714145588868 y2[1] (numeric) = -0.7516714145587948 absolute error = 9.192646643896296e-14 relative error = 1.222960786568016e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.291999999999858 y1[1] (analytic) = 0.6602891224966416 y1[1] (numeric) = 0.6602891224967476 absolute error = 1.060262988517024e-13 relative error = 1.605755649143557e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7510115010521576 y2[1] (numeric) = -0.7510115010520655 absolute error = 9.214851104388799e-14 relative error = 1.226992008974418e-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 y1[1] (analytic) = 0.6610398037279914 y1[1] (numeric) = 0.6610398037280975 absolute error = 1.060262988517024e-13 relative error = 1.603932142266743e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.75035083653399 y2[1] (numeric) = -0.7503508365338977 absolute error = 9.237055564881302e-14 relative error = 1.231031554192567e-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 y1[1] (analytic) = 0.6617898239195925 y1[1] (numeric) = 0.6617898239196985 absolute error = 1.060262988517024e-13 relative error = 1.602114372562257e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7496894216650484 y2[1] (numeric) = -0.7496894216649559 absolute error = 9.248157795127554e-14 relative error = 1.233598544659673e-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 y1[1] (analytic) = 0.6625391823214248 y1[1] (numeric) = 0.6625391823215309 absolute error = 1.060262988517024e-13 relative error = 1.600302316916628e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7490272571067476 y2[1] (numeric) = -0.7490272571066549 absolute error = 9.270362255620057e-14 relative error = 1.237653525644514e-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 y1[1] (analytic) = 0.66328787818413 y1[1] (numeric) = 0.6632878781842361 absolute error = 1.060262988517024e-13 relative error = 1.598495952345285e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.748364343521252 y2[1] (numeric) = -0.7483643435211592 absolute error = 9.281464485866309e-14 relative error = 1.24023339249363e-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 y1[1] (analytic) = 0.6640359107590125 y1[1] (numeric) = 0.6640359107591184 absolute error = 1.059152765492399e-13 relative error = 1.595023323786445e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7477006815714754 y2[1] (numeric) = -0.7477006815713824 absolute error = 9.303668946358812e-14 relative error = 1.244303927449268e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.297999999999857 y1[1] (analytic) = 0.6647832792980394 y1[1] (numeric) = 0.6647832792981453 absolute error = 1.059152765492399e-13 relative error = 1.593230152555558e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7470362719210795 y2[1] (numeric) = -0.7470362719209862 absolute error = 9.325873406851315e-14 relative error = 1.248382944360772e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.298999999999857 y1[1] (analytic) = 0.6655299830538424 y1[1] (numeric) = 0.6655299830539483 absolute error = 1.059152765492399e-13 relative error = 1.591442598321994e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7463711152344739 y2[1] (numeric) = -0.7463711152343805 absolute error = 9.336975637097567e-14 relative error = 1.250982982395338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.299999999999857 y1[1] (analytic) = 0.6662760212797177 y1[1] (numeric) = 0.6662760212798237 absolute error = 1.059152765492399e-13 relative error = 1.589660638631542e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7457052121768153 y2[1] (numeric) = -0.7457052121767217 absolute error = 9.35918009759007e-14 relative error = 1.255077736451559e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.300999999999857 y1[1] (analytic) = 0.6670213932296274 y1[1] (numeric) = 0.6670213932297333 absolute error = 1.059152765492399e-13 relative error = 1.587884251154412e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7450385634140066 y2[1] (numeric) = -0.7450385634139128 absolute error = 9.381384558082573e-14 relative error = 1.259181070452789e-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 y1[1] (analytic) = 0.6677660981581994 y1[1] (numeric) = 0.6677660981583053 absolute error = 1.059152765492399e-13 relative error = 1.586113413684378e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7443711696126967 y2[1] (numeric) = -0.7443711696126026 absolute error = 9.403589018575076e-14 relative error = 1.263293018651952e-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 y1[1] (analytic) = 0.6685101353207289 y1[1] (numeric) = 0.6685101353208348 absolute error = 1.059152765492399e-13 relative error = 1.584348104137947e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.743703031440279 y2[1] (numeric) = -0.7437030314401849 absolute error = 9.414691248821327e-14 relative error = 1.265920784347018e-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 y1[1] (analytic) = 0.6692535039731788 y1[1] (numeric) = 0.6692535039732846 absolute error = 1.058042542467774e-13 relative error = 1.580929402963838e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.743034149564892 y2[1] (numeric) = -0.7430341495647977 absolute error = 9.425793479067579e-14 relative error = 1.268554545519497e-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 y1[1] (analytic) = 0.6699962033721805 y1[1] (numeric) = 0.6699962033722863 absolute error = 1.058042542467774e-13 relative error = 1.579176922410164e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7423645246554174 y2[1] (numeric) = -0.7423645246553229 absolute error = 9.447997939560082e-14 relative error = 1.272689847881073e-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 y1[1] (analytic) = 0.6707382327750346 y1[1] (numeric) = 0.6707382327751404 absolute error = 1.058042542467774e-13 relative error = 1.577429898531878e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7416941573814798 y2[1] (numeric) = -0.7416941573813852 absolute error = 9.459100169806334e-14 relative error = 1.275337020747378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.306999999999856 y1[1] (analytic) = 0.6714795914397119 y1[1] (numeric) = 0.6714795914398177 absolute error = 1.058042542467774e-13 relative error = 1.575688309750765e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7410230484134468 y2[1] (numeric) = -0.741023048413352 absolute error = 9.481304630298837e-14 relative error = 1.279488492375319e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.307999999999856 y1[1] (analytic) = 0.6722202786248538 y1[1] (numeric) = 0.6722202786249595 absolute error = 1.056932319443149e-13 relative error = 1.572300558390313e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7403511984224271 y2[1] (numeric) = -0.7403511984223321 absolute error = 9.50350909079134e-14 relative error = 1.283648775208554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.308999999999856 y1[1] (analytic) = 0.6729602935897729 y1[1] (numeric) = 0.6729602935898786 absolute error = 1.056932319443149e-13 relative error = 1.570571591683595e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7396786080802706 y2[1] (numeric) = -0.7396786080801755 absolute error = 9.514611321037592e-14 relative error = 1.28631695132179e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.309999999999856 y1[1] (analytic) = 0.6736996355944546 y1[1] (numeric) = 0.6736996355945603 absolute error = 1.056932319443149e-13 relative error = 1.568847990411247e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7390052780595678 y2[1] (numeric) = -0.7390052780594725 absolute error = 9.536815781530095e-14 relative error = 1.290493595197486e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.310999999999856 y1[1] (analytic) = 0.6744383038995568 y1[1] (numeric) = 0.6744383038996624 absolute error = 1.055822096418524e-13 relative error = 1.565483588808393e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7383312090336485 y2[1] (numeric) = -0.738331209033553 absolute error = 9.547918011776346e-14 relative error = 1.293175460410642e-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 y1[1] (analytic) = 0.6751762977664113 y1[1] (numeric) = 0.6751762977665169 absolute error = 1.055822096418524e-13 relative error = 1.563772454559422e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7376564016765815 y2[1] (numeric) = -0.7376564016764859 absolute error = 9.559020242022598e-14 relative error = 1.295863524033193e-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 y1[1] (analytic) = 0.6759136164570243 y1[1] (numeric) = 0.6759136164571299 absolute error = 1.055822096418524e-13 relative error = 1.5620666172593e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7369808566631745 y2[1] (numeric) = -0.7369808566630787 absolute error = 9.581224702515101e-14 relative error = 1.300064257556971e-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 y1[1] (analytic) = 0.6766502592340773 y1[1] (numeric) = 0.6766502592341828 absolute error = 1.054711873393899e-13 relative error = 1.558725292720292e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7363045746689723 y2[1] (numeric) = -0.7363045746688762 absolute error = 9.603429163007604e-14 relative error = 1.304274004724894e-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 y1[1] (analytic) = 0.6773862253609273 y1[1] (numeric) = 0.6773862253610328 absolute error = 1.054711873393899e-13 relative error = 1.557031769921102e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7356275563702566 y2[1] (numeric) = -0.7356275563701604 absolute error = 9.614531393253856e-14 relative error = 1.306983582928025e-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 y1[1] (analytic) = 0.6781215141016084 y1[1] (numeric) = 0.6781215141017138 absolute error = 1.054711873393899e-13 relative error = 1.555343476738393e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.734949802444046 y2[1] (numeric) = -0.7349498024439496 absolute error = 9.636735853746359e-14 relative error = 1.311210074715277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.316999999999855 y1[1] (analytic) = 0.678856124720832 y1[1] (numeric) = 0.6788561247209374 absolute error = 1.053601650369274e-13 relative error = 1.552024960815591e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7342713135680941 y2[1] (numeric) = -0.7342713135679975 absolute error = 9.658940314238862e-14 relative error = 1.315445685505882e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.317999999999855 y1[1] (analytic) = 0.6795900564839874 y1[1] (numeric) = 0.6795900564840928 absolute error = 1.053601650369274e-13 relative error = 1.550348832089038e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7335920904208898 y2[1] (numeric) = -0.733592090420793 absolute error = 9.681144774731365e-14 relative error = 1.319690452111735e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.318999999999855 y1[1] (analytic) = 0.6803233086571429 y1[1] (numeric) = 0.6803233086572483 absolute error = 1.054711873393899e-13 relative error = 1.550309771799151e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7329121336816562 y2[1] (numeric) = -0.7329121336815593 absolute error = 9.692247004977617e-14 relative error = 1.32242960097963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.319999999999855 y1[1] (analytic) = 0.6810558805070465 y1[1] (numeric) = 0.6810558805071519 absolute error = 1.054711873393899e-13 relative error = 1.548642194541607e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.73223144403035 y2[1] (numeric) = -0.732231444030253 absolute error = 9.703349235223868e-14 relative error = 1.325175163444863e-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 y1[1] (analytic) = 0.6817877713011263 y1[1] (numeric) = 0.6817877713012317 absolute error = 1.053601650369274e-13 relative error = 1.545351346444035e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7315500221476609 y2[1] (numeric) = -0.7315500221475636 absolute error = 9.725553695716371e-14 relative error = 1.329444795472004e-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 y1[1] (analytic) = 0.6825189803074916 y1[1] (numeric) = 0.6825189803075971 absolute error = 1.054711873393899e-13 relative error = 1.54532240688563e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7308678687150105 y2[1] (numeric) = -0.730867868714913 absolute error = 9.747758156208874e-14 relative error = 1.333723724008703e-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 y1[1] (analytic) = 0.6832495067949336 y1[1] (numeric) = 0.6832495067950389 absolute error = 1.053601650369274e-13 relative error = 1.542045241000804e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7301849844145524 y2[1] (numeric) = -0.7301849844144547 absolute error = 9.769962616701378e-14 relative error = 1.338011986720699e-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 y1[1] (analytic) = 0.6839793500329256 y1[1] (numeric) = 0.683979350033031 absolute error = 1.053601650369274e-13 relative error = 1.540399794699292e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7295013699291706 y2[1] (numeric) = -0.7295013699290728 absolute error = 9.781064846947629e-14 relative error = 1.340787728458591e-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 y1[1] (analytic) = 0.6847085092916246 y1[1] (numeric) = 0.68470850929173 absolute error = 1.053601650369274e-13 relative error = 1.538759393335557e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7288170259424798 y2[1] (numeric) = -0.7288170259423817 absolute error = 9.803269307440132e-14 relative error = 1.345093344212548e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.325999999999854 y1[1] (analytic) = 0.6854369838418714 y1[1] (numeric) = 0.6854369838419767 absolute error = 1.053601650369274e-13 relative error = 1.537124017533809e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7281319531388237 y2[1] (numeric) = -0.7281319531387255 absolute error = 9.825473767932635e-14 relative error = 1.34940840400934e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.326999999999854 y1[1] (analytic) = 0.6861647729551915 y1[1] (numeric) = 0.6861647729552968 absolute error = 1.052491427344648e-13 relative error = 1.533875635748178e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7274461522032751 y2[1] (numeric) = -0.7274461522031768 absolute error = 9.836575998178887e-14 relative error = 1.352206753501418e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.327999999999854 y1[1] (analytic) = 0.6868918759037957 y1[1] (numeric) = 0.686891875903901 absolute error = 1.052491427344648e-13 relative error = 1.532251966089722e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7267596238216351 y2[1] (numeric) = -0.7267596238215365 absolute error = 9.85878045867139e-14 relative error = 1.356539374990235e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.328999999999854 y1[1] (analytic) = 0.6876182919605813 y1[1] (numeric) = 0.6876182919606866 absolute error = 1.052491427344648e-13 relative error = 1.530633259251608e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7260723686804317 y2[1] (numeric) = -0.7260723686803329 absolute error = 9.880984919163893e-14 relative error = 1.360881551948004e-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 y1[1] (analytic) = 0.6883440203991323 y1[1] (numeric) = 0.6883440203992375 absolute error = 1.051381204320023e-13 relative error = 1.527406606525594e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7253843874669201 y2[1] (numeric) = -0.7253843874668211 absolute error = 9.903189379656396e-14 relative error = 1.365233323292061e-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 y1[1] (analytic) = 0.6890690604937203 y1[1] (numeric) = 0.6890690604938254 absolute error = 1.051381204320023e-13 relative error = 1.525799465683026e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7246956808690815 y2[1] (numeric) = -0.7246956808689824 absolute error = 9.914291609902648e-14 relative error = 1.368062742972756e-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 y1[1] (analytic) = 0.6897934115193052 y1[1] (numeric) = 0.6897934115194103 absolute error = 1.051381204320023e-13 relative error = 1.524197225955381e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7240062495756225 y2[1] (numeric) = -0.7240062495755232 absolute error = 9.936496070395151e-14 relative error = 1.372432361767519e-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 y1[1] (analytic) = 0.690517072751536 y1[1] (numeric) = 0.6905170727516411 absolute error = 1.051381204320023e-13 relative error = 1.522599868719444e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7233160942759742 y2[1] (numeric) = -0.7233160942758747 absolute error = 9.947598300641403e-14 relative error = 1.375276781390958e-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 y1[1] (analytic) = 0.6912400434667516 y1[1] (numeric) = 0.6912400434668566 absolute error = 1.050270981295398e-13 relative error = 1.519401243058795e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7226252156602919 y2[1] (numeric) = -0.7226252156601922 absolute error = 9.969802761133906e-14 relative error = 1.379664388271325e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.334999999999853 y1[1] (analytic) = 0.6919623229419813 y1[1] (numeric) = 0.6919623229420864 absolute error = 1.050270981295398e-13 relative error = 1.517815271834475e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7219336144194541 y2[1] (numeric) = -0.7219336144193543 absolute error = 9.980904991380157e-14 relative error = 1.382523931844667e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.335999999999853 y1[1] (analytic) = 0.6926839104549458 y1[1] (numeric) = 0.6926839104550508 absolute error = 1.050270981295398e-13 relative error = 1.516234122726474e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7212412912450622 y2[1] (numeric) = -0.7212412912449622 absolute error = 1.000310945187266e-13 relative error = 1.38692966879427e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.336999999999853 y1[1] (analytic) = 0.6934048052840576 y1[1] (numeric) = 0.6934048052841626 absolute error = 1.050270981295398e-13 relative error = 1.514657777523114e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7205482468294391 y2[1] (numeric) = -0.7205482468293388 absolute error = 1.002531391236516e-13 relative error = 1.391345264731212e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.337999999999853 y1[1] (analytic) = 0.6941250067084218 y1[1] (numeric) = 0.6941250067085268 absolute error = 1.050270981295398e-13 relative error = 1.513086218109098e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7198544818656292 y2[1] (numeric) = -0.7198544818655287 absolute error = 1.004751837285767e-13 relative error = 1.395770760059417e-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 y1[1] (analytic) = 0.6948445140078372 y1[1] (numeric) = 0.6948445140079422 absolute error = 1.050270981295398e-13 relative error = 1.511519426464885e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7191599970473974 y2[1] (numeric) = -0.7191599970472967 absolute error = 1.006972283335017e-13 relative error = 1.400206195379706e-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 y1[1] (analytic) = 0.6955633264627964 y1[1] (numeric) = 0.6955633264629015 absolute error = 1.051381204320023e-13 relative error = 1.511553534121323e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7184647930692285 y2[1] (numeric) = -0.7184647930691276 absolute error = 1.009192729384267e-13 relative error = 1.404651611491038e-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 y1[1] (analytic) = 0.6962814433544872 y1[1] (numeric) = 0.6962814433545923 absolute error = 1.051381204320023e-13 relative error = 1.509994578133184e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7177688706263263 y2[1] (numeric) = -0.7177688706262253 absolute error = 1.010302952408892e-13 relative error = 1.407560279853458e-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 y1[1] (analytic) = 0.6969988639647926 y1[1] (numeric) = 0.6969988639648977 absolute error = 1.051381204320023e-13 relative error = 1.508440341407976e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7170722304146134 y2[1] (numeric) = -0.7170722304145122 absolute error = 1.012523398458143e-13 relative error = 1.412024278046158e-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 y1[1] (analytic) = 0.6977155875762922 y1[1] (numeric) = 0.6977155875763973 absolute error = 1.051381204320023e-13 relative error = 1.506890806284386e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7163748731307299 y2[1] (numeric) = -0.7163748731306284 absolute error = 1.014743844507393e-13 relative error = 1.41649837615426e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.343999999999852 y1[1] (analytic) = 0.6984316134722623 y1[1] (numeric) = 0.6984316134723674 absolute error = 1.050270981295398e-13 relative error = 1.503756360732243e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7156767994720329 y2[1] (numeric) = -0.7156767994719312 absolute error = 1.016964290556643e-13 relative error = 1.42098261576577e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.344999999999852 y1[1] (analytic) = 0.6991469409366772 y1[1] (numeric) = 0.6991469409367822 absolute error = 1.050270981295398e-13 relative error = 1.502217802581393e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.714978010136596 y2[1] (numeric) = -0.7149780101364942 absolute error = 1.018074513581269e-13 relative error = 1.42392423144142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.345999999999852 y1[1] (analytic) = 0.6998615692542094 y1[1] (numeric) = 0.6998615692543143 absolute error = 1.049160758270773e-13 relative error = 1.49909754208791e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7142785058232086 y2[1] (numeric) = -0.7142785058231066 absolute error = 1.020294959630519e-13 relative error = 1.428427358953809e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.346999999999852 y1[1] (analytic) = 0.7005754977102306 y1[1] (numeric) = 0.7005754977103356 absolute error = 1.049160758270773e-13 relative error = 1.497569871769513e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.713578287231375 y2[1] (numeric) = -0.7135782872312727 absolute error = 1.022515405679769e-13 relative error = 1.43294074942645e-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 y1[1] (analytic) = 0.7012887255908126 y1[1] (numeric) = 0.7012887255909175 absolute error = 1.049160758270773e-13 relative error = 1.496046806380481e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7128773550613134 y2[1] (numeric) = -0.7128773550612111 absolute error = 1.023625628704394e-13 relative error = 1.435907062325404e-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 y1[1] (analytic) = 0.7020012521827274 y1[1] (numeric) = 0.7020012521828323 absolute error = 1.049160758270773e-13 relative error = 1.49452832884361e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7121757100139564 y2[1] (numeric) = -0.7121757100138538 absolute error = 1.025846074753645e-13 relative error = 1.440439571764588e-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 y1[1] (analytic) = 0.7027130767734484 y1[1] (numeric) = 0.7027130767735533 absolute error = 1.049160758270773e-13 relative error = 1.493014422170797e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7114733527909486 y2[1] (numeric) = -0.7114733527908459 absolute error = 1.02695629777827e-13 relative error = 1.443422011168448e-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 y1[1] (analytic) = 0.7034241986511512 y1[1] (numeric) = 0.7034241986512562 absolute error = 1.049160758270773e-13 relative error = 1.491505069462477e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7107702840946473 y2[1] (numeric) = -0.7107702840945445 absolute error = 1.028066520802895e-13 relative error = 1.44641179268265e-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 y1[1] (analytic) = 0.7041346171047141 y1[1] (numeric) = 0.7041346171048189 absolute error = 1.048050535246148e-13 relative error = 1.488423534061653e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7100665046281212 y2[1] (numeric) = -0.7100665046280181 absolute error = 1.030286966852145e-13 relative error = 1.450972493614146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.352999999999851 y1[1] (analytic) = 0.7048443314237186 y1[1] (numeric) = 0.7048443314238233 absolute error = 1.046940312221523e-13 relative error = 1.485349694317329e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7093620150951495 y2[1] (numeric) = -0.7093620150950464 absolute error = 1.03139718987677e-13 relative error = 1.453978600388442e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.353999999999851 y1[1] (analytic) = 0.7055533408984502 y1[1] (numeric) = 0.705553340898555 absolute error = 1.048050535246148e-13 relative error = 1.485430618061509e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.708656816200222 y2[1] (numeric) = -0.7086568162001186 absolute error = 1.034727858950646e-13 relative error = 1.460125458891087e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.354999999999851 y1[1] (analytic) = 0.7062616448198999 y1[1] (numeric) = 0.7062616448200046 absolute error = 1.046940312221523e-13 relative error = 1.48236892078218e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7079509086485373 y2[1] (numeric) = -0.7079509086484337 absolute error = 1.035838081975271e-13 relative error = 1.463149590347533e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.355999999999851 y1[1] (analytic) = 0.7069692424797636 y1[1] (numeric) = 0.7069692424798683 absolute error = 1.046940312221523e-13 relative error = 1.480885234199549e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7072442931460029 y2[1] (numeric) = -0.7072442931458991 absolute error = 1.038058528024521e-13 relative error = 1.467751013453884e-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 y1[1] (analytic) = 0.7076761331704436 y1[1] (numeric) = 0.7076761331705483 absolute error = 1.046940312221523e-13 relative error = 1.4794059925847e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7065369703992342 y2[1] (numeric) = -0.7065369703991303 absolute error = 1.039168751049147e-13 relative error = 1.470791755542468e-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 y1[1] (analytic) = 0.7083823161850495 y1[1] (numeric) = 0.7083823161851542 absolute error = 1.046940312221523e-13 relative error = 1.477931179676756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7058289411155542 y2[1] (numeric) = -0.70582894111545 absolute error = 1.041389197098397e-13 relative error = 1.475413002267226e-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 y1[1] (analytic) = 0.7090877908173984 y1[1] (numeric) = 0.7090877908175029 absolute error = 1.045830089196897e-13 relative error = 1.474895073276217e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7051202060029917 y2[1] (numeric) = -0.7051202060028874 absolute error = 1.043609643147647e-13 relative error = 1.480045011138454e-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 y1[1] (analytic) = 0.7097925563620153 y1[1] (numeric) = 0.7097925563621199 absolute error = 1.045830089196897e-13 relative error = 1.473430623951899e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7044107657702822 y2[1] (numeric) = -0.7044107657701776 absolute error = 1.045830089196897e-13 relative error = 1.484687827070997e-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 y1[1] (analytic) = 0.7104966121141352 y1[1] (numeric) = 0.7104966121142396 absolute error = 1.044719866172272e-13 relative error = 1.470407948974776e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7037006211268654 y2[1] (numeric) = -0.7037006211267607 absolute error = 1.046940312221523e-13 relative error = 1.487763802943663e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36199999999985 y1[1] (analytic) = 0.7111999573697021 y1[1] (numeric) = 0.7111999573698066 absolute error = 1.044719866172272e-13 relative error = 1.468953780644277e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7029897727828862 y2[1] (numeric) = -0.7029897727827813 absolute error = 1.049160758270773e-13 relative error = 1.492426773319218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36299999999985 y1[1] (analytic) = 0.7119025914253708 y1[1] (numeric) = 0.7119025914254753 absolute error = 1.044719866172272e-13 relative error = 1.467503951742239e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7022782214491928 y2[1] (numeric) = -0.7022782214490877 absolute error = 1.051381204320023e-13 relative error = 1.497100682049396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36399999999985 y1[1] (analytic) = 0.7126045135785075 y1[1] (numeric) = 0.712604513578612 absolute error = 1.044719866172272e-13 relative error = 1.466058446537156e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7015659678373365 y2[1] (numeric) = -0.7015659678372311 absolute error = 1.053601650369274e-13 relative error = 1.501785574943338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.36499999999985 y1[1] (analytic) = 0.7133057231271901 y1[1] (numeric) = 0.7133057231272945 absolute error = 1.043609643147647e-13 relative error = 1.463060801716798e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7008530126595708 y2[1] (numeric) = -0.7008530126594652 absolute error = 1.055822096418524e-13 relative error = 1.506481498041836e-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 y1[1] (analytic) = 0.7140062193702089 y1[1] (numeric) = 0.7140062193703133 absolute error = 1.043609643147647e-13 relative error = 1.461625424030852e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.7001393566288509 y2[1] (numeric) = -0.700139356628745 absolute error = 1.058042542467774e-13 relative error = 1.51118849761884e-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 y1[1] (analytic) = 0.7147060016070679 y1[1] (numeric) = 0.7147060016071722 absolute error = 1.043609643147647e-13 relative error = 1.460194318784249e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6994250004588326 y2[1] (numeric) = -0.6994250004587266 absolute error = 1.060262988517024e-13 relative error = 1.515906620182975e-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 y1[1] (analytic) = 0.7154050691379847 y1[1] (numeric) = 0.7154050691380891 absolute error = 1.043609643147647e-13 relative error = 1.458767470581564e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6987099448638722 y2[1] (numeric) = -0.698709944863766 absolute error = 1.06137321154165e-13 relative error = 1.51904695123301e-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 y1[1] (analytic) = 0.7161034212638921 y1[1] (numeric) = 0.7161034212639965 absolute error = 1.043609643147647e-13 relative error = 1.45734486410597e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6979941905590251 y2[1] (numeric) = -0.6979941905589188 absolute error = 1.0635936575909e-13 relative error = 1.523785830852067e-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 y1[1] (analytic) = 0.7168010572864379 y1[1] (numeric) = 0.7168010572865423 absolute error = 1.043609643147647e-13 relative error = 1.455926484118751e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6972777382600457 y2[1] (numeric) = -0.6972777382599391 absolute error = 1.06581410364015e-13 relative error = 1.528535969468541e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.370999999999849 y1[1] (analytic) = 0.7174979765079862 y1[1] (numeric) = 0.7174979765080906 absolute error = 1.043609643147647e-13 relative error = 1.454512315458817e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.696560588683386 y2[1] (numeric) = -0.6965605886832793 absolute error = 1.066924326664775e-13 relative error = 1.53170355027039e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.371999999999849 y1[1] (analytic) = 0.7181941782316177 y1[1] (numeric) = 0.718194178231722 absolute error = 1.043609643147647e-13 relative error = 1.453102343042222e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6958427425461958 y2[1] (numeric) = -0.6958427425460889 absolute error = 1.069144772714026e-13 relative error = 1.536474705192527e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.372999999999849 y1[1] (analytic) = 0.7188896617611309 y1[1] (numeric) = 0.7188896617612351 absolute error = 1.042499420123022e-13 relative error = 1.45015219382779e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6951242005663211 y2[1] (numeric) = -0.6951242005662139 absolute error = 1.071365218763276e-13 relative error = 1.541257257178544e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.373999999999849 y1[1] (analytic) = 0.7195844264010421 y1[1] (numeric) = 0.7195844264011464 absolute error = 1.042499420123022e-13 relative error = 1.448752060042516e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6944049634623036 y2[1] (numeric) = -0.6944049634621963 absolute error = 1.073585664812526e-13 relative error = 1.546051254385665e-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 y1[1] (analytic) = 0.720278471456587 y1[1] (numeric) = 0.7202784714566912 absolute error = 1.042499420123022e-13 relative error = 1.447356073290407e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6936850319533806 y2[1] (numeric) = -0.693685031953273 absolute error = 1.075806110861777e-13 relative error = 1.550856745218162e-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 y1[1] (analytic) = 0.7209717962337204 y1[1] (numeric) = 0.7209717962338246 absolute error = 1.041389197098397e-13 relative error = 1.444424320810471e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6929644067594833 y2[1] (numeric) = -0.6929644067593757 absolute error = 1.076916333886402e-13 relative error = 1.554071642614946e-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 y1[1] (analytic) = 0.7216644000391177 y1[1] (numeric) = 0.7216644000392218 absolute error = 1.041389197098397e-13 relative error = 1.443038061794303e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6922430886012372 y2[1] (numeric) = -0.6922430886011293 absolute error = 1.079136779935652e-13 relative error = 1.558898597479942e-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 y1[1] (analytic) = 0.722356282180175 y1[1] (numeric) = 0.7223562821802791 absolute error = 1.041389197098397e-13 relative error = 1.44165590137229e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6915210781999601 y2[1] (numeric) = -0.691521078199852 absolute error = 1.081357225984902e-13 relative error = 1.563737187591869e-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 y1[1] (analytic) = 0.7230474419650105 y1[1] (numeric) = 0.7230474419651145 absolute error = 1.040278974073772e-13 relative error = 1.438742347592888e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6907983762776624 y2[1] (numeric) = -0.6907983762775541 absolute error = 1.082467449009528e-13 relative error = 1.566980303055079e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.379999999999848 y1[1] (analytic) = 0.7237378787024641 y1[1] (numeric) = 0.7237378787025681 absolute error = 1.040278974073772e-13 relative error = 1.437369805679938e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.690074983557046 y2[1] (numeric) = -0.6900749835569375 absolute error = 1.084687895058778e-13 relative error = 1.571840627329611e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.380999999999848 y1[1] (analytic) = 0.7244275917020994 y1[1] (numeric) = 0.7244275917022034 absolute error = 1.040278974073772e-13 relative error = 1.436001314678745e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6893509007615036 y2[1] (numeric) = -0.6893509007613949 absolute error = 1.086908341108028e-13 relative error = 1.57671273063886e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.381999999999848 y1[1] (analytic) = 0.7251165802742033 y1[1] (numeric) = 0.7251165802743073 absolute error = 1.039168751049147e-13 relative error = 1.433105764394719e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6886261286151178 y2[1] (numeric) = -0.688626128615009 absolute error = 1.088018564132653e-13 relative error = 1.579984434109036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.382999999999848 y1[1] (analytic) = 0.7258048437297875 y1[1] (numeric) = 0.7258048437298913 absolute error = 1.038058528024521e-13 relative error = 1.430217140312974e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6879006678426609 y2[1] (numeric) = -0.6879006678425519 absolute error = 1.090239010181904e-13 relative error = 1.584878545911322e-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 y1[1] (analytic) = 0.7264923813805882 y1[1] (numeric) = 0.7264923813806922 absolute error = 1.039168751049147e-13 relative error = 1.430391808203638e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6871745191695934 y2[1] (numeric) = -0.6871745191694842 absolute error = 1.091349233206529e-13 relative error = 1.588168948006621e-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 y1[1] (analytic) = 0.7271791925390683 y1[1] (numeric) = 0.7271791925391722 absolute error = 1.039168751049147e-13 relative error = 1.429040822002503e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.686447683322064 y2[1] (numeric) = -0.6864476833219546 absolute error = 1.093569679255779e-13 relative error = 1.593085250085554e-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 y1[1] (analytic) = 0.7278652765184164 y1[1] (numeric) = 0.7278652765185202 absolute error = 1.038058528024521e-13 relative error = 1.426168497815758e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6857201610269085 y2[1] (numeric) = -0.6857201610267989 absolute error = 1.09579012530503e-13 relative error = 1.598013574027072e-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 y1[1] (analytic) = 0.7285506326325486 y1[1] (numeric) = 0.7285506326326524 absolute error = 1.038058528024521e-13 relative error = 1.42482688440417e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6849919530116491 y2[1] (numeric) = -0.6849919530115393 absolute error = 1.09801057135428e-13 relative error = 1.602953971249947e-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 y1[1] (analytic) = 0.7292352601961088 y1[1] (numeric) = 0.7292352601962127 absolute error = 1.038058528024521e-13 relative error = 1.423489214914488e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6842630600044937 y2[1] (numeric) = -0.6842630600043837 absolute error = 1.099120794378905e-13 relative error = 1.606283984366607e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.388999999999847 y1[1] (analytic) = 0.7299191585244698 y1[1] (numeric) = 0.7299191585245735 absolute error = 1.036948304999896e-13 relative error = 1.420634453678521e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6835334827343353 y2[1] (numeric) = -0.6835334827342252 absolute error = 1.101341240428155e-13 relative error = 1.611246951681819e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.389999999999847 y1[1] (analytic) = 0.7306023269337329 y1[1] (numeric) = 0.7306023269338365 absolute error = 1.035838081975271e-13 relative error = 1.417786453435733e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6828032219307513 y2[1] (numeric) = -0.6828032219306409 absolute error = 1.103561686477406e-13 relative error = 1.616222142825985e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.390999999999847 y1[1] (analytic) = 0.73128476474073 y1[1] (numeric) = 0.7312847647408336 absolute error = 1.035838081975271e-13 relative error = 1.416463369563726e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6820722783240022 y2[1] (numeric) = -0.6820722783238916 absolute error = 1.105782132526656e-13 relative error = 1.621209610283238e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.391999999999847 y1[1] (analytic) = 0.7319664712630234 y1[1] (numeric) = 0.7319664712631269 absolute error = 1.034727858950646e-13 relative error = 1.413627399032638e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6813406526450316 y2[1] (numeric) = -0.6813406526449208 absolute error = 1.108002578575906e-13 relative error = 1.626209406813656e-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 y1[1] (analytic) = 0.7326474458189064 y1[1] (numeric) = 0.7326474458190099 absolute error = 1.034727858950646e-13 relative error = 1.412313473357016e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6806083456254651 y2[1] (numeric) = -0.6806083456253542 absolute error = 1.109112801600531e-13 relative error = 1.629590363869664e-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 y1[1] (analytic) = 0.7333276877274048 y1[1] (numeric) = 0.7333276877275081 absolute error = 1.033617635926021e-13 relative error = 1.409489445474532e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6798753579976097 y2[1] (numeric) = -0.6798753579974987 absolute error = 1.110223024625157e-13 relative error = 1.632980239047081e-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 y1[1] (analytic) = 0.7340071963082764 y1[1] (numeric) = 0.7340071963083797 absolute error = 1.033617635926021e-13 relative error = 1.408184607895739e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6791416904944531 y2[1] (numeric) = -0.6791416904943417 absolute error = 1.113553693699032e-13 relative error = 1.639648558297611e-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 y1[1] (analytic) = 0.7346859708820129 y1[1] (numeric) = 0.7346859708821162 absolute error = 1.032507412901396e-13 relative error = 1.405372436419112e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6784073438496624 y2[1] (numeric) = -0.6784073438495509 absolute error = 1.114663916723657e-13 relative error = 1.643059920900076e-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 y1[1] (analytic) = 0.7353640107698398 y1[1] (numeric) = 0.7353640107699431 absolute error = 1.032507412901396e-13 relative error = 1.404076617538682e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6776723187975845 y2[1] (numeric) = -0.6776723187974728 absolute error = 1.116884362772907e-13 relative error = 1.648118613955829e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.397999999999846 y1[1] (analytic) = 0.7360413152937172 y1[1] (numeric) = 0.7360413152938204 absolute error = 1.032507412901396e-13 relative error = 1.402784587559971e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6769366160732442 y2[1] (numeric) = -0.6769366160731324 absolute error = 1.117994585797533e-13 relative error = 1.651549878159591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.398999999999846 y1[1] (analytic) = 0.7367178837763406 y1[1] (numeric) = 0.7367178837764439 absolute error = 1.032507412901396e-13 relative error = 1.401496333452458e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6762002364123443 y2[1] (numeric) = -0.6762002364122323 absolute error = 1.120215031846783e-13 relative error = 1.656632120967908e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.399999999999846 y1[1] (analytic) = 0.7373937155411416 y1[1] (numeric) = 0.7373937155412449 absolute error = 1.032507412901396e-13 relative error = 1.400211842249947e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6754631805512643 y2[1] (numeric) = -0.6754631805511521 absolute error = 1.122435477896033e-13 relative error = 1.661727108470934e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.400999999999846 y1[1] (analytic) = 0.7380688099122886 y1[1] (numeric) = 0.7380688099123918 absolute error = 1.03139718987677e-13 relative error = 1.397426874059806e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.67472544922706 y2[1] (numeric) = -0.6747254492269477 absolute error = 1.123545700920658e-13 relative error = 1.665189451809992e-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 y1[1] (analytic) = 0.7387431662146872 y1[1] (numeric) = 0.7387431662147903 absolute error = 1.03139718987677e-13 relative error = 1.396151243146708e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6739870431774628 y2[1] (numeric) = -0.6739870431773503 absolute error = 1.125766146969909e-13 relative error = 1.670308292074231e-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 y1[1] (analytic) = 0.739416783773981 y1[1] (numeric) = 0.7394167837740842 absolute error = 1.03139718987677e-13 relative error = 1.394879332617421e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6732479631408785 y2[1] (numeric) = -0.6732479631407658 absolute error = 1.126876369994534e-13 relative error = 1.673790982949818e-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 y1[1] (analytic) = 0.7400896619165528 y1[1] (numeric) = 0.7400896619166558 absolute error = 1.030286966852145e-13 relative error = 1.392111010149893e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6725082098563873 y2[1] (numeric) = -0.6725082098562744 absolute error = 1.129096816043784e-13 relative error = 1.678933876933488e-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 y1[1] (analytic) = 0.7407617999695243 y1[1] (numeric) = 0.7407617999696273 absolute error = 1.030286966852145e-13 relative error = 1.390847863502859e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6717677840637422 y2[1] (numeric) = -0.671767784063629 absolute error = 1.131317262093035e-13 relative error = 1.684089783599517e-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 y1[1] (analytic) = 0.7414331972607575 y1[1] (numeric) = 0.7414331972608605 absolute error = 1.030286966852145e-13 relative error = 1.389588395365307e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6710266865033689 y2[1] (numeric) = -0.6710266865032557 absolute error = 1.13242748511766e-13 relative error = 1.68760424569489e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.406999999999845 y1[1] (analytic) = 0.7421038531188553 y1[1] (numeric) = 0.7421038531189583 absolute error = 1.030286966852145e-13 relative error = 1.38833259323764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6702849179163651 y2[1] (numeric) = -0.6702849179162518 absolute error = 1.133537708142285e-13 relative error = 1.691128172279303e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.407999999999845 y1[1] (analytic) = 0.7427737668731619 y1[1] (numeric) = 0.7427737668732648 absolute error = 1.02917674382752e-13 relative error = 1.385585745926411e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6695424790444994 y2[1] (numeric) = -0.6695424790443858 absolute error = 1.135758154191535e-13 relative error = 1.696319785135022e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.408999999999845 y1[1] (analytic) = 0.7434429378537634 y1[1] (numeric) = 0.7434429378538663 absolute error = 1.02917674382752e-13 relative error = 1.38433858393845e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6687993706302102 y2[1] (numeric) = -0.6687993706300965 absolute error = 1.13686837721616e-13 relative error = 1.69986460385704e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.409999999999845 y1[1] (analytic) = 0.744111365391489 y1[1] (numeric) = 0.7441113653915918 absolute error = 1.028066520802895e-13 relative error = 1.381603035000026e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6680555934166063 y2[1] (numeric) = -0.6680555934164923 absolute error = 1.139088823265411e-13 relative error = 1.705080886217598e-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 y1[1] (analytic) = 0.7447790488179112 y1[1] (numeric) = 0.744779048818014 absolute error = 1.028066520802895e-13 relative error = 1.380364448267722e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6673111481474646 y2[1] (numeric) = -0.6673111481473505 absolute error = 1.141309269314661e-13 relative error = 1.71031050879799e-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 y1[1] (analytic) = 0.7454459874653467 y1[1] (numeric) = 0.7454459874654495 absolute error = 1.028066520802895e-13 relative error = 1.379129458189868e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6665660355672303 y2[1] (numeric) = -0.666566035567116 absolute error = 1.142419492339286e-13 relative error = 1.713887944151125e-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 y1[1] (analytic) = 0.7461121806668569 y1[1] (numeric) = 0.7461121806669596 absolute error = 1.02695629777827e-13 relative error = 1.37641004179881e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6658202564210161 y2[1] (numeric) = -0.6658202564209016 absolute error = 1.144639938388536e-13 relative error = 1.719142557394273e-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 y1[1] (analytic) = 0.7467776277562486 y1[1] (numeric) = 0.7467776277563513 absolute error = 1.02695629777827e-13 relative error = 1.375183534707433e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6650738114546008 y2[1] (numeric) = -0.6650738114544862 absolute error = 1.145750161413162e-13 relative error = 1.722741358447509e-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 y1[1] (analytic) = 0.7474423280680746 y1[1] (numeric) = 0.7474423280681773 absolute error = 1.02695629777827e-13 relative error = 1.373960584266962e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6643267014144295 y2[1] (numeric) = -0.6643267014143147 absolute error = 1.147970607462412e-13 relative error = 1.72802117545215e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.415999999999844 y1[1] (analytic) = 0.748106280937635 y1[1] (numeric) = 0.7481062809377377 absolute error = 1.02695629777827e-13 relative error = 1.372741178554389e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6635789270476122 y2[1] (numeric) = -0.6635789270474972 absolute error = 1.150191053511662e-13 relative error = 1.733314616588382e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.416999999999844 y1[1] (analytic) = 0.7487694857009768 y1[1] (numeric) = 0.7487694857010794 absolute error = 1.025846074753645e-13 relative error = 1.370042575644327e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6628304891019232 y2[1] (numeric) = -0.662830489101808 absolute error = 1.152411499560912e-13 relative error = 1.738621741921269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.417999999999844 y1[1] (analytic) = 0.7494319416948952 y1[1] (numeric) = 0.7494319416949978 absolute error = 1.025846074753645e-13 relative error = 1.368831534500142e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6620813883258003 y2[1] (numeric) = -0.6620813883256849 absolute error = 1.154631945610163e-13 relative error = 1.743942611843947e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.418999999999844 y1[1] (analytic) = 0.7500936482569345 y1[1] (numeric) = 0.7500936482570369 absolute error = 1.024735851729019e-13 relative error = 1.366143886313793e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6613316254683442 y2[1] (numeric) = -0.6613316254682287 absolute error = 1.155742168634788e-13 relative error = 1.747598518090391e-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 y1[1] (analytic) = 0.7507546047253879 y1[1] (numeric) = 0.7507546047254904 absolute error = 1.024735851729019e-13 relative error = 1.364941147585567e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6605812012793177 y2[1] (numeric) = -0.6605812012792021 absolute error = 1.156852391659413e-13 relative error = 1.751264476523082e-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 y1[1] (analytic) = 0.7514148104392993 y1[1] (numeric) = 0.7514148104394016 absolute error = 1.023625628704394e-13 relative error = 1.362264377123406e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6598301165091451 y2[1] (numeric) = -0.6598301165090292 absolute error = 1.159072837708663e-13 relative error = 1.756623119661133e-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 y1[1] (analytic) = 0.7520742647384627 y1[1] (numeric) = 0.7520742647385651 absolute error = 1.023625628704394e-13 relative error = 1.361069879263007e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6590783719089109 y2[1] (numeric) = -0.6590783719087948 absolute error = 1.161293283757914e-13 relative error = 1.761995740194631e-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 y1[1] (analytic) = 0.7527329669634242 y1[1] (numeric) = 0.7527329669635264 absolute error = 1.022515405679769e-13 relative error = 1.358403910226844e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6583259682303597 y2[1] (numeric) = -0.6583259682302435 absolute error = 1.162403506782539e-13 relative error = 1.765695966554662e-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 y1[1] (analytic) = 0.7533909164554813 y1[1] (numeric) = 0.7533909164555835 absolute error = 1.022515405679769e-13 relative error = 1.357217592283236e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6575729062258953 y2[1] (numeric) = -0.6575729062257788 absolute error = 1.164623952831789e-13 relative error = 1.77109479694972e-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 y1[1] (analytic) = 0.7540481125566848 y1[1] (numeric) = 0.7540481125567871 absolute error = 1.022515405679769e-13 relative error = 1.356034699447514e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6568191866485793 y2[1] (numeric) = -0.6568191866484626 absolute error = 1.16684439888104e-13 relative error = 1.776507785704106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.425999999999843 y1[1] (analytic) = 0.7547045546098387 y1[1] (numeric) = 0.7547045546099408 absolute error = 1.021405182655144e-13 relative error = 1.353384150680238e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6560648102521314 y2[1] (numeric) = -0.6560648102520146 absolute error = 1.167954621905665e-13 relative error = 1.780242749884435e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.426999999999843 y1[1] (analytic) = 0.7553602419585007 y1[1] (numeric) = 0.7553602419586029 absolute error = 1.021405182655144e-13 relative error = 1.35220935113932e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6553097777909279 y2[1] (numeric) = -0.6553097777908109 absolute error = 1.170175067954915e-13 relative error = 1.785682295020251e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.427999999999843 y1[1] (analytic) = 0.7560151739469837 y1[1] (numeric) = 0.7560151739470858 absolute error = 1.021405182655144e-13 relative error = 1.351037939255398e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6545540900200013 y2[1] (numeric) = -0.6545540900198841 absolute error = 1.172395514004165e-13 relative error = 1.791136182448024e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.428999999999843 y1[1] (analytic) = 0.7566693499203558 y1[1] (numeric) = 0.7566693499204579 absolute error = 1.020294959630519e-13 relative error = 1.348402653996638e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6537977476950392 y2[1] (numeric) = -0.6537977476949218 absolute error = 1.17350573702879e-13 relative error = 1.794906362351323e-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 y1[1] (analytic) = 0.7573227692244411 y1[1] (numeric) = 0.7573227692245431 absolute error = 1.020294959630519e-13 relative error = 1.347239250016716e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6530407515723838 y2[1] (numeric) = -0.6530407515722663 absolute error = 1.175726183078041e-13 relative error = 1.800387158453957e-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 y1[1] (analytic) = 0.7579754312058202 y1[1] (numeric) = 0.7579754312059223 absolute error = 1.020294959630519e-13 relative error = 1.346079196798489e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6522831024090313 y2[1] (numeric) = -0.6522831024089136 absolute error = 1.176836406102666e-13 relative error = 1.804180426805997e-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 y1[1] (analytic) = 0.7586273352118313 y1[1] (numeric) = 0.7586273352119333 absolute error = 1.019184736605894e-13 relative error = 1.34345902039149e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6515248009626309 y2[1] (numeric) = -0.6515248009625129 absolute error = 1.180167075176541e-13 relative error = 1.811392403532205e-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 y1[1] (analytic) = 0.7592784805905705 y1[1] (numeric) = 0.7592784805906723 absolute error = 1.018074513581269e-13 relative error = 1.340844682954014e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6507658479914836 y2[1] (numeric) = -0.6507658479913655 absolute error = 1.181277298201167e-13 relative error = 1.815210957746242e-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 y1[1] (analytic) = 0.7599288666908922 y1[1] (numeric) = 0.759928866690994 absolute error = 1.018074513581269e-13 relative error = 1.339697119303377e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6500062442545427 y2[1] (numeric) = -0.6500062442544243 absolute error = 1.183497744250417e-13 relative error = 1.820748269284254e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.434999999999842 y1[1] (analytic) = 0.7605784928624106 y1[1] (numeric) = 0.7605784928625124 absolute error = 1.018074513581269e-13 relative error = 1.338552855668822e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6492459905114116 y2[1] (numeric) = -0.6492459905112931 absolute error = 1.185718190299667e-13 relative error = 1.826300366315202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.435999999999842 y1[1] (analytic) = 0.7612273584554996 y1[1] (numeric) = 0.7612273584556013 absolute error = 1.016964290556643e-13 relative error = 1.335953416887202e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6484850875223441 y2[1] (numeric) = -0.6484850875222254 absolute error = 1.186828413324292e-13 relative error = 1.830155289859922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.436999999999842 y1[1] (analytic) = 0.7618754628212935 y1[1] (numeric) = 0.7618754628213952 absolute error = 1.016964290556643e-13 relative error = 1.334816961804667e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6477235360482432 y2[1] (numeric) = -0.6477235360481243 absolute error = 1.189048859373543e-13 relative error = 1.83573514500943e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.437999999999842 y1[1] (analytic) = 0.762522805311688 y1[1] (numeric) = 0.7625228053117897 absolute error = 1.016964290556643e-13 relative error = 1.333683771124655e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6469613368506603 y2[1] (numeric) = -0.646961336850541 absolute error = 1.192379528447418e-13 relative error = 1.843046037730471e-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 y1[1] (analytic) = 0.7631693852793409 y1[1] (numeric) = 0.7631693852794426 absolute error = 1.016964290556643e-13 relative error = 1.332553834276786e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6461984906917942 y2[1] (numeric) = -0.6461984906916749 absolute error = 1.193489751472043e-13 relative error = 1.846939862385536e-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 y1[1] (analytic) = 0.7638152020776721 y1[1] (numeric) = 0.7638152020777736 absolute error = 1.015854067532018e-13 relative error = 1.329973617661404e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6454349983344915 y2[1] (numeric) = -0.6454349983343719 absolute error = 1.195710197521294e-13 relative error = 1.852564860298491e-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 y1[1] (analytic) = 0.7644602550608648 y1[1] (numeric) = 0.7644602550609663 absolute error = 1.014743844507393e-13 relative error = 1.327399086858481e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6446708605422442 y2[1] (numeric) = -0.6446708605421244 absolute error = 1.197930643570544e-13 relative error = 1.858205042124819e-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 y1[1] (analytic) = 0.7651045435838661 y1[1] (numeric) = 0.7651045435839676 absolute error = 1.014743844507393e-13 relative error = 1.326281294519803e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.64390607807919 y2[1] (numeric) = -0.6439060780790701 absolute error = 1.199040866595169e-13 relative error = 1.862136276414689e-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 y1[1] (analytic) = 0.7657480670023876 y1[1] (numeric) = 0.7657480670024891 absolute error = 1.014743844507393e-13 relative error = 1.325166707217074e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6431406517101115 y2[1] (numeric) = -0.6431406517099914 absolute error = 1.201261312644419e-13 relative error = 1.867804980839362e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.443999999999841 y1[1] (analytic) = 0.766390824672906 y1[1] (numeric) = 0.7663908246730073 absolute error = 1.013633621482768e-13 relative error = 1.322606676450471e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6423745822004348 y2[1] (numeric) = -0.6423745822003145 absolute error = 1.202371535669045e-13 relative error = 1.871760759198095e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.444999999999841 y1[1] (analytic) = 0.7670328159526635 y1[1] (numeric) = 0.7670328159527648 absolute error = 1.013633621482768e-13 relative error = 1.3214996808498e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6416078703162293 y2[1] (numeric) = -0.641607870316109 absolute error = 1.20348175869367e-13 relative error = 1.875727861786529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.445999999999841 y1[1] (analytic) = 0.767674040199669 y1[1] (numeric) = 0.7676740401997703 absolute error = 1.012523398458143e-13 relative error = 1.318949639347957e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6408405168242072 y2[1] (numeric) = -0.6408405168240866 absolute error = 1.20570220474292e-13 relative error = 1.881438787169669e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.446999999999841 y1[1] (analytic) = 0.7683144967726983 y1[1] (numeric) = 0.7683144967727995 absolute error = 1.012523398458143e-13 relative error = 1.317850180767437e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6400725224917215 y2[1] (numeric) = -0.6400725224916007 absolute error = 1.20792265079217e-13 relative error = 1.887165295097937e-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 y1[1] (analytic) = 0.7689541850312949 y1[1] (numeric) = 0.768954185031396 absolute error = 1.011413175433518e-13 relative error = 1.315310060237666e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6393038880867667 y2[1] (numeric) = -0.6393038880866457 absolute error = 1.210143096841421e-13 relative error = 1.892907456676033e-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 y1[1] (analytic) = 0.7695931043357704 y1[1] (numeric) = 0.7695931043358716 absolute error = 1.011413175433518e-13 relative error = 1.314218084511633e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6385346143779772 y2[1] (numeric) = -0.638534614377856 absolute error = 1.212363542890671e-13 relative error = 1.898665343415539e-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 y1[1] (analytic) = 0.7702312540472058 y1[1] (numeric) = 0.7702312540473069 absolute error = 1.010302952408892e-13 relative error = 1.311687817262961e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6377647021346264 y2[1] (numeric) = -0.637764702134505 absolute error = 1.214583988939921e-13 relative error = 1.904439027237875e-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 y1[1] (analytic) = 0.7708686335274513 y1[1] (numeric) = 0.7708686335275523 absolute error = 1.010302952408892e-13 relative error = 1.310603270736031e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6369941521266267 y2[1] (numeric) = -0.636994152126505 absolute error = 1.216804434989172e-13 relative error = 1.910228580477275e-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 y1[1] (analytic) = 0.7715052421391275 y1[1] (numeric) = 0.7715052421392284 absolute error = 1.009192729384267e-13 relative error = 1.308082789672448e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6362229651245279 y2[1] (numeric) = -0.636222965124406 absolute error = 1.219024881038422e-13 relative error = 1.916034075883794e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45299999999984 y1[1] (analytic) = 0.7721410792456259 y1[1] (numeric) = 0.7721410792457267 absolute error = 1.008082506359642e-13 relative error = 1.305567769227521e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.635451141899517 y2[1] (numeric) = -0.6354511418993949 absolute error = 1.221245327087672e-13 relative error = 1.921855586626337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45399999999984 y1[1] (analytic) = 0.7727761442111094 y1[1] (numeric) = 0.7727761442112101 absolute error = 1.006972283335017e-13 relative error = 1.303058189461823e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6346786832234171 y2[1] (numeric) = -0.6346786832232949 absolute error = 1.222355550112297e-13 relative error = 1.92594391843157e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45499999999984 y1[1] (analytic) = 0.773410436400513 y1[1] (numeric) = 0.7734104364006137 absolute error = 1.006972283335017e-13 relative error = 1.301989520624406e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6339055898686869 y2[1] (numeric) = -0.6339055898685645 absolute error = 1.224575996161548e-13 relative error = 1.931795547685922e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.45599999999984 y1[1] (analytic) = 0.7740439551795447 y1[1] (numeric) = 0.7740439551796453 absolute error = 1.005862060310392e-13 relative error = 1.299489587871112e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6331318626084198 y2[1] (numeric) = -0.6331318626082971 absolute error = 1.226796442210798e-13 relative error = 1.937663407361238e-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 y1[1] (analytic) = 0.7746766999146858 y1[1] (numeric) = 0.7746766999147863 absolute error = 1.004751837285767e-13 relative error = 1.296995039861685e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6323575022163427 y2[1] (numeric) = -0.6323575022162199 absolute error = 1.227906665235423e-13 relative error = 1.941791883438952e-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 y1[1] (analytic) = 0.7753086699731915 y1[1] (numeric) = 0.775308669973292 absolute error = 1.004751837285767e-13 relative error = 1.295937832502903e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6315825094668162 y2[1] (numeric) = -0.6315825094666931 absolute error = 1.230127111284673e-13 relative error = 1.947690274582098e-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 y1[1] (analytic) = 0.7759398647230918 y1[1] (numeric) = 0.7759398647231922 absolute error = 1.003641614261142e-13 relative error = 1.293452830419158e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6308068851348327 y2[1] (numeric) = -0.6308068851347095 absolute error = 1.232347557333924e-13 relative error = 1.953605114932304e-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 y1[1] (analytic) = 0.776570283533192 y1[1] (numeric) = 0.7765702835332924 absolute error = 1.003641614261142e-13 relative error = 1.292402806987198e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6300306299960167 y2[1] (numeric) = -0.6300306299958933 absolute error = 1.233457780358549e-13 relative error = 1.957774307522711e-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 y1[1] (analytic) = 0.7771999257730735 y1[1] (numeric) = 0.7771999257731738 absolute error = 1.002531391236516e-13 relative error = 1.289927286391989e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6292537448266232 y2[1] (numeric) = -0.6292537448264997 absolute error = 1.235678226407799e-13 relative error = 1.963720099509718e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.461999999999839 y1[1] (analytic) = 0.777828790813094 y1[1] (numeric) = 0.7778287908131941 absolute error = 1.001421168211891e-13 relative error = 1.287457060010684e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6284762304035374 y2[1] (numeric) = -0.6284762304034136 absolute error = 1.23789867245705e-13 relative error = 1.969682563272455e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.462999999999839 y1[1] (analytic) = 0.7784568780243883 y1[1] (numeric) = 0.7784568780244885 absolute error = 1.001421168211891e-13 relative error = 1.286418293012394e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6276980875042735 y2[1] (numeric) = -0.6276980875041496 absolute error = 1.239008895481675e-13 relative error = 1.97389305487288e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.463999999999839 y1[1] (analytic) = 0.7790841867788696 y1[1] (numeric) = 0.7790841867789697 absolute error = 1.001421168211891e-13 relative error = 1.285382485238567e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6269193169069743 y2[1] (numeric) = -0.6269193169068503 absolute error = 1.2401191185063e-13 relative error = 1.978115979301234e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.464999999999839 y1[1] (analytic) = 0.7797107164492291 y1[1] (numeric) = 0.7797107164493291 absolute error = 1.000310945187266e-13 relative error = 1.282925736538086e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6261399193904106 y2[1] (numeric) = -0.6261399193902863 absolute error = 1.24233956455555e-13 relative error = 1.9841245160747e-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 y1[1] (analytic) = 0.7803364664089371 y1[1] (numeric) = 0.780336466409037 absolute error = 9.992007221626409e-14 relative error = 1.280474212311139e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6253598957339797 y2[1] (numeric) = -0.6253598957338552 absolute error = 1.2445600106048e-13 relative error = 1.990150022562721e-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 y1[1] (analytic) = 0.7809614360322437 y1[1] (numeric) = 0.7809614360323435 absolute error = 9.980904991380157e-14 relative error = 1.278027893680537e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.624579246717705 y2[1] (numeric) = -0.6245792467175805 absolute error = 1.245670233629426e-13 relative error = 1.994415024475571e-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 y1[1] (analytic) = 0.7815856246941792 y1[1] (numeric) = 0.7815856246942791 absolute error = 9.980904991380157e-14 relative error = 1.277007237087493e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6237979731222358 y2[1] (numeric) = -0.623797973122111 absolute error = 1.247890679678676e-13 relative error = 2.000472482192799e-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 y1[1] (analytic) = 0.7822090317705553 y1[1] (numeric) = 0.782209031770655 absolute error = 9.969802761133906e-14 relative error = 1.274570141253283e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6230160757288454 y2[1] (numeric) = -0.6230160757287204 absolute error = 1.250111125727926e-13 relative error = 2.006547141284378e-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 y1[1] (analytic) = 0.7828316566379647 y1[1] (numeric) = 0.7828316566380644 absolute error = 9.969802761133906e-14 relative error = 1.273556412364738e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6222335553194311 y2[1] (numeric) = -0.622233555319306 absolute error = 1.251221348752551e-13 relative error = 2.010854827831041e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.470999999999838 y1[1] (analytic) = 0.7834534986737829 y1[1] (numeric) = 0.7834534986738825 absolute error = 9.958700530887654e-14 relative error = 1.271128477662756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6214504126765135 y2[1] (numeric) = -0.6214504126763881 absolute error = 1.253441794801802e-13 relative error = 2.01696188341621e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.471999999999838 y1[1] (analytic) = 0.7840745572561675 y1[1] (numeric) = 0.7840745572562671 absolute error = 9.958700530887654e-14 relative error = 1.27012162794029e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6206666485832349 y2[1] (numeric) = -0.6206666485831094 absolute error = 1.255662240851052e-13 relative error = 2.023086376104291e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.472999999999838 y1[1] (analytic) = 0.7846948317640603 y1[1] (numeric) = 0.7846948317641598 absolute error = 9.947598300641403e-14 relative error = 1.26770279323471e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6198822638233595 y2[1] (numeric) = -0.6198822638232337 absolute error = 1.257882686900302e-13 relative error = 2.029228387890682e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.473999999999838 y1[1] (analytic) = 0.7853143215771867 y1[1] (numeric) = 0.7853143215772861 absolute error = 9.936496070395151e-14 relative error = 1.265289043811041e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6190972591812719 y2[1] (numeric) = -0.619097259181146 absolute error = 1.258992909924928e-13 relative error = 2.033594707865269e-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 y1[1] (analytic) = 0.785933026076057 y1[1] (numeric) = 0.7859330260761563 absolute error = 9.936496070395151e-14 relative error = 1.264292979263804e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6183116354419768 y2[1] (numeric) = -0.6183116354418506 absolute error = 1.261213355974178e-13 relative error = 2.039769727238995e-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 y1[1] (analytic) = 0.7865509446419666 y1[1] (numeric) = 0.786550944642066 absolute error = 9.936496070395151e-14 relative error = 1.2632997440386e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6175253933910977 y2[1] (numeric) = -0.6175253933909713 absolute error = 1.263433802023428e-13 relative error = 2.045962507040187e-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 y1[1] (analytic) = 0.7871680766569973 y1[1] (numeric) = 0.7871680766570965 absolute error = 9.925393840148899e-14 relative error = 1.260898928002871e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6167385338148766 y2[1] (numeric) = -0.6167385338147501 absolute error = 1.265654248072678e-13 relative error = 2.052173131203415e-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 y1[1] (analytic) = 0.7877844215040167 y1[1] (numeric) = 0.787784421504116 absolute error = 9.925393840148899e-14 relative error = 1.25991242898655e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6159510575001732 y2[1] (numeric) = -0.6159510575000464 absolute error = 1.267874694121929e-13 relative error = 2.058401684165584e-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 y1[1] (analytic) = 0.7883999785666804 y1[1] (numeric) = 0.7883999785667796 absolute error = 9.914291609902648e-14 relative error = 1.257520532652339e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6151629652344636 y2[1] (numeric) = -0.6151629652343367 absolute error = 1.268984917146554e-13 relative error = 2.062843488412688e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.479999999999837 y1[1] (analytic) = 0.7890147472294312 y1[1] (numeric) = 0.7890147472295304 absolute error = 9.914291609902648e-14 relative error = 1.256540723062018e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.61437425780584 y2[1] (numeric) = -0.6143742578057129 absolute error = 1.271205363195804e-13 relative error = 2.069105837434911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.480999999999837 y1[1] (analytic) = 0.7896287268775006 y1[1] (numeric) = 0.7896287268775997 absolute error = 9.903189379656396e-14 relative error = 1.254157687349783e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6135849360030098 y2[1] (numeric) = -0.6135849360028824 absolute error = 1.273425809245055e-13 relative error = 2.075386363851032e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.481999999999837 y1[1] (analytic) = 0.7902419168969088 y1[1] (numeric) = 0.7902419168970078 absolute error = 9.903189379656396e-14 relative error = 1.253184520829249e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6127950006152947 y2[1] (numeric) = -0.6127950006151672 absolute error = 1.27453603226968e-13 relative error = 2.079873417684453e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.482999999999837 y1[1] (analytic) = 0.790854316674466 y1[1] (numeric) = 0.790854316674565 absolute error = 9.892087149410145e-14 relative error = 1.250810287159621e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6120044524326301 y2[1] (numeric) = -0.6120044524325025 absolute error = 1.27675647831893e-13 relative error = 2.086188218474565e-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 y1[1] (analytic) = 0.7914659255977725 y1[1] (numeric) = 0.7914659255978713 absolute error = 9.880984919163893e-14 relative error = 1.248440975105916e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.611213292245564 y2[1] (numeric) = -0.6112132922454362 absolute error = 1.277866701343555e-13 relative error = 2.090705024834691e-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 y1[1] (analytic) = 0.7920767430552192 y1[1] (numeric) = 0.7920767430553181 absolute error = 9.880984919163893e-14 relative error = 1.24747822806294e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6104215208452567 y2[1] (numeric) = -0.6104215208451287 absolute error = 1.280087147392805e-13 relative error = 2.09705441842918e-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 y1[1] (analytic) = 0.7926867684359891 y1[1] (numeric) = 0.7926867684360878 absolute error = 9.869882688917642e-14 relative error = 1.245117628037543e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6096291390234794 y2[1] (numeric) = -0.6096291390233511 absolute error = 1.282307593442056e-13 relative error = 2.10342241103516e-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 y1[1] (analytic) = 0.7932960011300564 y1[1] (numeric) = 0.7932960011301551 absolute error = 9.869882688917642e-14 relative error = 1.244161406947459e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6088361475726137 y2[1] (numeric) = -0.6088361475724854 absolute error = 1.283417816466681e-13 relative error = 2.107985574745482e-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 y1[1] (analytic) = 0.7939044405281888 y1[1] (numeric) = 0.7939044405282873 absolute error = 9.85878045867139e-14 relative error = 1.241809461616349e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6080425472856514 y2[1] (numeric) = -0.6080425472855228 absolute error = 1.286748485540556e-13 relative error = 2.116214549926975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.488999999999836 y1[1] (analytic) = 0.7945120860219468 y1[1] (numeric) = 0.7945120860220453 absolute error = 9.847678228425139e-14 relative error = 1.239462357046274e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6072483389561923 y2[1] (numeric) = -0.6072483389560636 absolute error = 1.287858708565182e-13 relative error = 2.12081059090075e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.489999999999836 y1[1] (analytic) = 0.7951189370036849 y1[1] (numeric) = 0.7951189370037833 absolute error = 9.847678228425139e-14 relative error = 1.238516374108129e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.606453523378445 y2[1] (numeric) = -0.606453523378316 absolute error = 1.290079154614432e-13 relative error = 2.127251479103674e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.490999999999836 y1[1] (analytic) = 0.7957249928665523 y1[1] (numeric) = 0.7957249928666507 absolute error = 9.836575998178887e-14 relative error = 1.236177836106819e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6056581013472249 y2[1] (numeric) = -0.6056581013470956 absolute error = 1.292299600663682e-13 relative error = 2.133711408778473e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.491999999999836 y1[1] (analytic) = 0.7963302530044932 y1[1] (numeric) = 0.7963302530045915 absolute error = 9.825473767932635e-14 relative error = 1.23384409054684e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6048620736579537 y2[1] (numeric) = -0.6048620736578244 absolute error = 1.293409823688307e-13 relative error = 2.138354973831148e-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 y1[1] (analytic) = 0.7969347168122474 y1[1] (numeric) = 0.7969347168123456 absolute error = 9.825473767932635e-14 relative error = 1.232908237105632e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6040654411066594 y2[1] (numeric) = -0.6040654411065299 absolute error = 1.294520046712933e-13 relative error = 2.143012923138505e-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 y1[1] (analytic) = 0.7975383836853512 y1[1] (numeric) = 0.7975383836854494 absolute error = 9.814371537686384e-14 relative error = 1.23058297110856e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6032682044899743 y2[1] (numeric) = -0.6032682044898446 absolute error = 1.296740492762183e-13 relative error = 2.149525672181739e-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 y1[1] (analytic) = 0.7981412530201378 y1[1] (numeric) = 0.7981412530202359 absolute error = 9.803269307440132e-14 relative error = 1.228262449828888e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.602470364605135 y2[1] (numeric) = -0.6024703646050051 absolute error = 1.298960938811433e-13 relative error = 2.156057816491579e-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 y1[1] (analytic) = 0.7987433242137379 y1[1] (numeric) = 0.7987433242138359 absolute error = 9.792167077193881e-14 relative error = 1.225946656497322e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6016719222499812 y2[1] (numeric) = -0.6016719222498512 absolute error = 1.300071161836058e-13 relative error = 2.160764220099185e-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 y1[1] (analytic) = 0.7993445966640804 y1[1] (numeric) = 0.7993445966641782 absolute error = 9.781064846947629e-14 relative error = 1.223635574415231e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6008728782229554 y2[1] (numeric) = -0.6008728782228252 absolute error = 1.302291607885309e-13 relative error = 2.16733298353681e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.497999999999835 y1[1] (analytic) = 0.7999450697698928 y1[1] (numeric) = 0.7999450697699906 absolute error = 9.781064846947629e-14 relative error = 1.222717061030352e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.6000732333231015 y2[1] (numeric) = -0.600073233322971 absolute error = 1.304512053934559e-13 relative error = 2.173921417408335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.498999999999835 y1[1] (analytic) = 0.8005447429307021 y1[1] (numeric) = 0.8005447429307998 absolute error = 9.769962616701378e-14 relative error = 1.220414312001434e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5992729883500642 y2[1] (numeric) = -0.5992729883499336 absolute error = 1.305622276959184e-13 relative error = 2.178677000867103e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.499999999999835 y1[1] (analytic) = 0.8011436155468351 y1[1] (numeric) = 0.8011436155469328 absolute error = 9.769962616701378e-14 relative error = 1.219502025243341e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5984721441040884 y2[1] (numeric) = -0.5984721441039577 absolute error = 1.307842723008434e-13 relative error = 2.185302584076444e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.500999999999835 y1[1] (analytic) = 0.8017416870194194 y1[1] (numeric) = 0.801741687019517 absolute error = 9.758860386455126e-14 relative error = 1.21720755505866e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5976707013860185 y2[1] (numeric) = -0.5976707013858875 absolute error = 1.310063169057685e-13 relative error = 2.191948117951246e-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 y1[1] (analytic) = 0.8023389567503835 y1[1] (numeric) = 0.8023389567504809 absolute error = 9.747758156208874e-14 relative error = 1.214917719524556e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5968686609972971 y2[1] (numeric) = -0.5968686609971658 absolute error = 1.312283615106935e-13 relative error = 2.198613699895491e-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 y1[1] (analytic) = 0.8029354241424577 y1[1] (numeric) = 0.802935424142555 absolute error = 9.736655925962623e-14 relative error = 1.212632502341201e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5960660237399643 y2[1] (numeric) = -0.5960660237398329 absolute error = 1.314504061156185e-13 relative error = 2.20529942791982e-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 y1[1] (analytic) = 0.8035310885991745 y1[1] (numeric) = 0.8035310885992719 absolute error = 9.736655925962623e-14 relative error = 1.211733567513473e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5952627904166574 y2[1] (numeric) = -0.5952627904165259 absolute error = 1.315614284180811e-13 relative error = 2.210140303343905e-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 y1[1] (analytic) = 0.8041259495248699 y1[1] (numeric) = 0.8041259495249672 absolute error = 9.725553695716371e-14 relative error = 1.209456516291119e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5944589618306098 y2[1] (numeric) = -0.594458961830478 absolute error = 1.317834730230061e-13 relative error = 2.216864098022591e-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 y1[1] (analytic) = 0.8047200063246827 y1[1] (numeric) = 0.8047200063247799 absolute error = 9.725553695716371e-14 relative error = 1.208563676717188e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5936545387856499 y2[1] (numeric) = -0.5936545387855179 absolute error = 1.320055176279311e-13 relative error = 2.223608327798773e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.506999999999834 y1[1] (analytic) = 0.8053132584045563 y1[1] (numeric) = 0.8053132584046534 absolute error = 9.71445146547012e-14 relative error = 1.206294738610895e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5928495220862006 y2[1] (numeric) = -0.5928495220860684 absolute error = 1.321165399303936e-13 relative error = 2.228500403702507e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.507999999999834 y1[1] (analytic) = 0.8059057051712385 y1[1] (numeric) = 0.8059057051713355 absolute error = 9.703349235223868e-14 relative error = 1.204030344116016e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5920439125372786 y2[1] (numeric) = -0.5920439125371463 absolute error = 1.323385845353187e-13 relative error = 2.235283257421988e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.508999999999834 y1[1] (analytic) = 0.8064973460322827 y1[1] (numeric) = 0.8064973460323797 absolute error = 9.692247004977617e-14 relative error = 1.201770477319048e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5912377109444935 y2[1] (numeric) = -0.591237710944361 absolute error = 1.325606291402437e-13 relative error = 2.242086840646211e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.509999999999834 y1[1] (analytic) = 0.8070881803960481 y1[1] (numeric) = 0.8070881803961449 absolute error = 9.681144774731365e-14 relative error = 1.199515122372466e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5904309181140467 y2[1] (numeric) = -0.5904309181139139 absolute error = 1.327826737451687e-13 relative error = 2.248911255685981e-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 y1[1] (analytic) = 0.8076782076717004 y1[1] (numeric) = 0.8076782076717971 absolute error = 9.670042544485113e-14 relative error = 1.19726426349437e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.589623534852731 y2[1] (numeric) = -0.589623534852598 absolute error = 1.330047183500938e-13 relative error = 2.255756605497677e-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 y1[1] (analytic) = 0.8082674272692123 y1[1] (numeric) = 0.8082674272693089 absolute error = 9.658940314238862e-14 relative error = 1.19501788496813e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5888155619679295 y2[1] (numeric) = -0.5888155619677964 absolute error = 1.331157406525563e-13 relative error = 2.260737474526982e-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 y1[1] (analytic) = 0.8088558385993643 y1[1] (numeric) = 0.8088558385994609 absolute error = 9.658940314238862e-14 relative error = 1.194148555688803e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5880070002676152 y2[1] (numeric) = -0.5880070002674819 absolute error = 1.333377852574813e-13 relative error = 2.267622412603868e-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 y1[1] (analytic) = 0.809443441073745 y1[1] (numeric) = 0.8094434410738416 absolute error = 9.658940314238862e-14 relative error = 1.193281682711032e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5871978505603496 y2[1] (numeric) = -0.5871978505602161 absolute error = 1.334488075599438e-13 relative error = 2.272637875506469e-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 y1[1] (analytic) = 0.8100302341047522 y1[1] (numeric) = 0.8100302341048486 absolute error = 9.64783808399261e-14 relative error = 1.191046664406969e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5863881136552823 y2[1] (numeric) = -0.5863881136551486 absolute error = 1.336708521648688e-13 relative error = 2.279562785330424e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.515999999999833 y1[1] (analytic) = 0.8106162171055928 y1[1] (numeric) = 0.8106162171056891 absolute error = 9.625633623500107e-14 relative error = 1.187446466081032e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5855777903621503 y2[1] (numeric) = -0.5855777903620164 absolute error = 1.338928967697939e-13 relative error = 2.286509136335036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.516999999999833 y1[1] (analytic) = 0.8112013894902838 y1[1] (numeric) = 0.81120138949038 absolute error = 9.625633623500107e-14 relative error = 1.1865898836229e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5847668814912768 y2[1] (numeric) = -0.5847668814911426 absolute error = 1.341149413747189e-13 relative error = 2.293477035373447e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.517999999999833 y1[1] (analytic) = 0.8117857506736529 y1[1] (numeric) = 0.811785750673749 absolute error = 9.614531393253856e-14 relative error = 1.184368090382878e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5839553878535704 y2[1] (numeric) = -0.5839553878534361 absolute error = 1.342259636771814e-13 relative error = 2.298565377923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.518999999999833 y1[1] (analytic) = 0.812369300071339 y1[1] (numeric) = 0.812369300071435 absolute error = 9.603429163007604e-14 relative error = 1.18215067484262e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5831433102605248 y2[1] (numeric) = -0.5831433102603905 absolute error = 1.343369859796439e-13 relative error = 2.303670189059146e-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 y1[1] (analytic) = 0.8129520370997928 y1[1] (numeric) = 0.8129520370998887 absolute error = 9.592326932761353e-14 relative error = 1.179937621779261e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5823306495242176 y2[1] (numeric) = -0.5823306495240831 absolute error = 1.34559030584569e-13 relative error = 2.310698066373596e-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 y1[1] (analytic) = 0.8135339611762771 y1[1] (numeric) = 0.813533961176373 absolute error = 9.592326932761353e-14 relative error = 1.179093607707777e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5815174064573094 y2[1] (numeric) = -0.5815174064571746 absolute error = 1.34781075189494e-13 relative error = 2.317747907334371e-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 y1[1] (analytic) = 0.8141150717188681 y1[1] (numeric) = 0.8141150717189639 absolute error = 9.581224702515101e-14 relative error = 1.17688826006942e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5807035818730433 y2[1] (numeric) = -0.5807035818729083 absolute error = 1.35003119794419e-13 relative error = 2.324819822171067e-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 y1[1] (analytic) = 0.8146953681464553 y1[1] (numeric) = 0.814695368146551 absolute error = 9.570122472268849e-14 relative error = 1.174687232362963e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5798891765852435 y2[1] (numeric) = -0.5798891765851084 absolute error = 1.351141420968816e-13 relative error = 2.329999378372943e-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 y1[1] (analytic) = 0.8152748498787421 y1[1] (numeric) = 0.8152748498788378 absolute error = 9.570122472268849e-14 relative error = 1.173852287200107e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5790741914083156 y2[1] (numeric) = -0.5790741914081803 absolute error = 1.353361867018066e-13 relative error = 2.337113079978013e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.524999999999832 y1[1] (analytic) = 0.815853516336247 y1[1] (numeric) = 0.8158535163363426 absolute error = 9.559020242022598e-14 relative error = 1.171658888589374e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5782586271572445 y2[1] (numeric) = -0.578258627157109 absolute error = 1.355582313067316e-13 relative error = 2.344249180909662e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.525999999999832 y1[1] (analytic) = 0.8164313669403036 y1[1] (numeric) = 0.8164313669403991 absolute error = 9.547918011776346e-14 relative error = 1.169469767870209e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5774424846475944 y2[1] (numeric) = -0.5774424846474587 absolute error = 1.356692536091941e-13 relative error = 2.349485138627985e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.526999999999832 y1[1] (analytic) = 0.8170084011130613 y1[1] (numeric) = 0.8170084011131566 absolute error = 9.536815781530095e-14 relative error = 1.167284910233175e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5766257646955079 y2[1] (numeric) = -0.576625764695372 absolute error = 1.358912982141192e-13 relative error = 2.356663654907576e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.527999999999832 y1[1] (analytic) = 0.8175846182774859 y1[1] (numeric) = 0.8175846182775812 absolute error = 9.536815781530095e-14 relative error = 1.166462231349529e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5758084681177046 y2[1] (numeric) = -0.5758084681175686 absolute error = 1.360023205165817e-13 relative error = 2.361936790564542e-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 y1[1] (analytic) = 0.8181600178573604 y1[1] (numeric) = 0.8181600178574556 absolute error = 9.525713551283843e-14 relative error = 1.164284900676309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5749905957314813 y2[1] (numeric) = -0.574990595731345 absolute error = 1.362243651215067e-13 relative error = 2.36915814159025e-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 y1[1] (analytic) = 0.8187345992772852 y1[1] (numeric) = 0.8187345992773803 absolute error = 9.514611321037592e-14 relative error = 1.162111791713254e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5741721483547101 y2[1] (numeric) = -0.5741721483545736 absolute error = 1.364464097264317e-13 relative error = 2.376402445110214e-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 y1[1] (analytic) = 0.819308361962679 y1[1] (numeric) = 0.819308361962774 absolute error = 9.50350909079134e-14 relative error = 1.159942889881581e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5733531268058384 y2[1] (numeric) = -0.5733531268057017 absolute error = 1.366684543313568e-13 relative error = 2.38366981780913e-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 y1[1] (analytic) = 0.8198813053397791 y1[1] (numeric) = 0.819881305339874 absolute error = 9.492406860545088e-14 relative error = 1.157778180661309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5725335319038877 y2[1] (numeric) = -0.5725335319037508 absolute error = 1.368904989362818e-13 relative error = 2.390960377134066e-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 y1[1] (analytic) = 0.8204534288356421 y1[1] (numeric) = 0.820453428835737 absolute error = 9.492406860545088e-14 relative error = 1.156970831850428e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5717133644684528 y2[1] (numeric) = -0.5717133644683157 absolute error = 1.371125435412068e-13 relative error = 2.398274241300733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.533999999999831 y1[1] (analytic) = 0.8210247318781447 y1[1] (numeric) = 0.8210247318782395 absolute error = 9.481304630298837e-14 relative error = 1.154813522926376e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5708926253197011 y2[1] (numeric) = -0.5708926253195638 absolute error = 1.373345881461319e-13 relative error = 2.405611529299826e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.534999999999831 y1[1] (analytic) = 0.8215952138959839 y1[1] (numeric) = 0.8215952138960786 absolute error = 9.470202400052585e-14 relative error = 1.152660366063371e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5700713152783715 y2[1] (numeric) = -0.5700713152782341 absolute error = 1.374456104485944e-13 relative error = 2.411024844873633e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.535999999999831 y1[1] (analytic) = 0.8221648743186776 y1[1] (numeric) = 0.8221648743187723 absolute error = 9.470202400052585e-14 relative error = 1.151861712396857e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5692494351657743 y2[1] (numeric) = -0.5692494351656366 absolute error = 1.376676550535194e-13 relative error = 2.418406528825601e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.536999999999831 y1[1] (analytic) = 0.8227337125765655 y1[1] (numeric) = 0.8227337125766601 absolute error = 9.459100169806334e-14 relative error = 1.149715883184506e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5684269858037894 y2[1] (numeric) = -0.5684269858036515 absolute error = 1.378896996584444e-13 relative error = 2.425811988209185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.537999999999831 y1[1] (analytic) = 0.8233017281008094 y1[1] (numeric) = 0.8233017281009039 absolute error = 9.447997939560082e-14 relative error = 1.147574165956715e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5676039680148659 y2[1] (numeric) = -0.5676039680147279 absolute error = 1.38000721960907e-13 relative error = 2.431285363341446e-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 y1[1] (analytic) = 0.8238689203233938 y1[1] (numeric) = 0.8238689203234881 absolute error = 9.436895709313831e-14 relative error = 1.145436546581896e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5667803826220218 y2[1] (numeric) = -0.5667803826218836 absolute error = 1.38222766565832e-13 relative error = 2.438735898486643e-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 y1[1] (analytic) = 0.8244352886771266 y1[1] (numeric) = 0.8244352886772208 absolute error = 9.425793479067579e-14 relative error = 1.143303010984893e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5659562304488422 y2[1] (numeric) = -0.5659562304487039 absolute error = 1.383337888682945e-13 relative error = 2.444248891095099e-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 y1[1] (analytic) = 0.8250008325956393 y1[1] (numeric) = 0.8250008325957335 absolute error = 9.425793479067579e-14 relative error = 1.142519268666906e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5651315123194794 y2[1] (numeric) = -0.5651315123193409 absolute error = 1.385558334732195e-13 relative error = 2.451744955869517e-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 y1[1] (analytic) = 0.8255655515133882 y1[1] (numeric) = 0.8255655515134823 absolute error = 9.414691248821327e-14 relative error = 1.140392938097133e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5643062290586515 y2[1] (numeric) = -0.5643062290585127 absolute error = 1.387778780781446e-13 relative error = 2.459265394068876e-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 y1[1] (analytic) = 0.8261294448656544 y1[1] (numeric) = 0.8261294448657485 absolute error = 9.403589018575076e-14 relative error = 1.138270652016803e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5634803814916414 y2[1] (numeric) = -0.5634803814915025 absolute error = 1.388889003806071e-13 relative error = 2.464840036008731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54399999999983 y1[1] (analytic) = 0.8266925120885446 y1[1] (numeric) = 0.8266925120886386 absolute error = 9.403589018575076e-14 relative error = 1.137495366302276e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5626539704442968 y2[1] (numeric) = -0.5626539704441577 absolute error = 1.391109449855321e-13 relative error = 2.472406706304478e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54499999999983 y1[1] (analytic) = 0.8272547526189915 y1[1] (numeric) = 0.8272547526190855 absolute error = 9.403589018575076e-14 relative error = 1.13672227192463e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5618269967430286 y2[1] (numeric) = -0.5618269967428893 absolute error = 1.393329895904571e-13 relative error = 2.479998120385554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54599999999983 y1[1] (analytic) = 0.8278161658947548 y1[1] (numeric) = 0.8278161658948487 absolute error = 9.392486788328824e-14 relative error = 1.134610216046801e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5609994612148106 y2[1] (numeric) = -0.560999461214671 absolute error = 1.395550341953822e-13 relative error = 2.487614406851375e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.54699999999983 y1[1] (analytic) = 0.8283767513544212 y1[1] (numeric) = 0.8283767513545151 absolute error = 9.381384558082573e-14 relative error = 1.132502154695158e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.560171364687178 y2[1] (numeric) = -0.5601713646870383 absolute error = 1.396660564978447e-13 relative error = 2.49327376053647e-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 y1[1] (analytic) = 0.8289365084374053 y1[1] (numeric) = 0.828936508437499 absolute error = 9.370282327836321e-14 relative error = 1.130398074214376e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5593427079882275 y2[1] (numeric) = -0.5593427079880876 absolute error = 1.398881011027697e-13 relative error = 2.500937244822613e-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 y1[1] (analytic) = 0.82949543658395 y1[1] (numeric) = 0.8294954365840437 absolute error = 9.370282327836321e-14 relative error = 1.129636392748014e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5585134919466155 y2[1] (numeric) = -0.5585134919464755 absolute error = 1.399991234052322e-13 relative error = 2.506638164053767e-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 y1[1] (analytic) = 0.8300535352351273 y1[1] (numeric) = 0.8300535352352209 absolute error = 9.35918009759007e-14 relative error = 1.127539333344194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5576837173915582 y2[1] (numeric) = -0.557683717391418 absolute error = 1.402211680101573e-13 relative error = 2.514349328074534e-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 y1[1] (analytic) = 0.8306108038328385 y1[1] (numeric) = 0.830610803832932 absolute error = 9.348077867343818e-14 relative error = 1.125446216712723e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.55685338515283 y2[1] (numeric) = -0.5568533851526896 absolute error = 1.404432126150823e-13 relative error = 2.522085998930172e-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 y1[1] (analytic) = 0.8311672418198151 y1[1] (numeric) = 0.8311672418199084 absolute error = 9.336975637097567e-14 relative error = 1.123357029405363e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5560224960607629 y2[1] (numeric) = -0.5560224960606224 absolute error = 1.405542349175448e-13 relative error = 2.527851587180833e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.552999999999829 y1[1] (analytic) = 0.831722848639619 y1[1] (numeric) = 0.8317228486397124 absolute error = 9.336975637097567e-14 relative error = 1.122606605357697e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5551910509462462 y2[1] (numeric) = -0.5551910509461054 absolute error = 1.407762795224698e-13 relative error = 2.535636683670174e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.553999999999829 y1[1] (analytic) = 0.8322776237366437 y1[1] (numeric) = 0.832277623736737 absolute error = 9.325873406851315e-14 relative error = 1.120524346789634e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5543590506407249 y2[1] (numeric) = -0.5543590506405839 absolute error = 1.409983241273949e-13 relative error = 2.543447680062765e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.554999999999829 y1[1] (analytic) = 0.832831566556114 y1[1] (numeric) = 0.8328315665562072 absolute error = 9.314771176605063e-14 relative error = 1.118445980034483e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.553526495976199 y2[1] (numeric) = -0.5535264959760579 absolute error = 1.411093464298574e-13 relative error = 2.549278985841446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.555999999999829 y1[1] (analytic) = 0.8333846765440872 y1[1] (numeric) = 0.8333846765441802 absolute error = 9.303668946358812e-14 relative error = 1.116371491846915e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5526933877852233 y2[1] (numeric) = -0.5526933877850819 absolute error = 1.413313910347824e-13 relative error = 2.557139168990815e-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 y1[1] (analytic) = 0.8339369531474532 y1[1] (numeric) = 0.8339369531475462 absolute error = 9.303668946358812e-14 relative error = 1.115632172341663e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5518597269009059 y2[1] (numeric) = -0.5518597269007643 absolute error = 1.415534356397075e-13 relative error = 2.565025653070084e-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 y1[1] (analytic) = 0.8344883958139356 y1[1] (numeric) = 0.8344883958140286 absolute error = 9.29256671611256e-14 relative error = 1.113564522014577e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5510255141569076 y2[1] (numeric) = -0.5510255141567658 absolute error = 1.417754802446325e-13 relative error = 2.572938577291743e-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 y1[1] (analytic) = 0.8350390039920917 y1[1] (numeric) = 0.8350390039921846 absolute error = 9.281464485866309e-14 relative error = 1.11150071331928e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.550190750387441 y2[1] (numeric) = -0.550190750387299 absolute error = 1.419975248495575e-13 relative error = 2.580878081820963e-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 y1[1] (analytic) = 0.8355887771313135 y1[1] (numeric) = 0.8355887771314062 absolute error = 9.270362255620057e-14 relative error = 1.109440733209275e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5493554364272699 y2[1] (numeric) = -0.5493554364271277 absolute error = 1.422195694544826e-13 relative error = 2.588844307783805e-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 y1[1] (analytic) = 0.8361377146818277 y1[1] (numeric) = 0.8361377146819203 absolute error = 9.259260025373806e-14 relative error = 1.107384568688807e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5485195731117081 y2[1] (numeric) = -0.5485195731115657 absolute error = 1.423305917569451e-13 relative error = 2.594813361891808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.561999999999828 y1[1] (analytic) = 0.8366858160946969 y1[1] (numeric) = 0.8366858160947894 absolute error = 9.248157795127554e-14 relative error = 1.105332206812603e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.547683161276619 y2[1] (numeric) = -0.5476831612764764 absolute error = 1.425526363618701e-13 relative error = 2.602830366914839e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.562999999999828 y1[1] (analytic) = 0.8372330808218198 y1[1] (numeric) = 0.8372330808219122 absolute error = 9.237055564881302e-14 relative error = 1.103283634685612e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5468462017584141 y2[1] (numeric) = -0.5468462017582715 absolute error = 1.426636586643326e-13 relative error = 2.608844282095948e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.563999999999828 y1[1] (analytic) = 0.8377795083159316 y1[1] (numeric) = 0.8377795083160239 absolute error = 9.225953334635051e-14 relative error = 1.101238839462744e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5460086953940532 y2[1] (numeric) = -0.5460086953939103 absolute error = 1.428857032692576e-13 relative error = 2.616912596348624e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.564999999999828 y1[1] (analytic) = 0.8383250980306048 y1[1] (numeric) = 0.8383250980306971 absolute error = 9.225953334635051e-14 relative error = 1.10052214305747e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5451706430210423 y2[1] (numeric) = -0.5451706430208992 absolute error = 1.431077478741827e-13 relative error = 2.625008329156474e-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 y1[1] (analytic) = 0.83886984942025 y1[1] (numeric) = 0.8388698494203422 absolute error = 9.214851104388799e-14 relative error = 1.098484003300066e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5443320454774339 y2[1] (numeric) = -0.5443320454772906 absolute error = 1.432187701766452e-13 relative error = 2.631092021250153e-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 y1[1] (analytic) = 0.8394137619401156 y1[1] (numeric) = 0.8394137619402077 absolute error = 9.203748874142548e-14 relative error = 1.096449604646719e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5434929036018252 y2[1] (numeric) = -0.5434929036016819 absolute error = 1.433297924791077e-13 relative error = 2.637197128596075e-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 y1[1] (analytic) = 0.8399568350462893 y1[1] (numeric) = 0.8399568350463812 absolute error = 9.192646643896296e-14 relative error = 1.094418934443184e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5426532182333583 y2[1] (numeric) = -0.5426532182332148 absolute error = 1.435518370840327e-13 relative error = 2.645369681052934e-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 y1[1] (analytic) = 0.8404990681956978 y1[1] (numeric) = 0.8404990681957897 absolute error = 9.192646643896296e-14 relative error = 1.093712889370619e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5418129902117185 y2[1] (numeric) = -0.5418129902115747 absolute error = 1.437738816889578e-13 relative error = 2.653570222315578e-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 y1[1] (analytic) = 0.8410404608461082 y1[1] (numeric) = 0.8410404608462 absolute error = 9.181544413650045e-14 relative error = 1.091688788005892e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5409722203771336 y2[1] (numeric) = -0.5409722203769896 absolute error = 1.439959262938828e-13 relative error = 2.661798903342901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.570999999999827 y1[1] (analytic) = 0.8415810124561279 y1[1] (numeric) = 0.8415810124562195 absolute error = 9.159339953157541e-14 relative error = 1.088349168718326e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5401309095703732 y2[1] (numeric) = -0.5401309095702291 absolute error = 1.441069485963453e-13 relative error = 2.668000405882525e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.571999999999827 y1[1] (analytic) = 0.8421207224852052 y1[1] (numeric) = 0.8421207224852968 absolute error = 9.159339953157541e-14 relative error = 1.087651652381522e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5392890586327485 y2[1] (numeric) = -0.5392890586326041 absolute error = 1.443289932012704e-13 relative error = 2.676282614877919e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.572999999999827 y1[1] (analytic) = 0.8426595903936303 y1[1] (numeric) = 0.8426595903937217 absolute error = 9.14823772291129e-14 relative error = 1.085638593235246e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5384466684061099 y2[1] (numeric) = -0.5384466684059654 absolute error = 1.444400155037329e-13 relative error = 2.682531511083519e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.573999999999827 y1[1] (analytic) = 0.8431976156425351 y1[1] (numeric) = 0.8431976156426265 absolute error = 9.137135492665038e-14 relative error = 1.083629190021172e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5376037397328478 y2[1] (numeric) = -0.5376037397327033 absolute error = 1.445510378061954e-13 relative error = 2.688802683516066e-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 y1[1] (analytic) = 0.8437347976938946 y1[1] (numeric) = 0.843734797693986 absolute error = 9.137135492665038e-14 relative error = 1.082939274003959e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5367602734558908 y2[1] (numeric) = -0.5367602734557461 absolute error = 1.447730824111204e-13 relative error = 2.697164629547e-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 y1[1] (analytic) = 0.8442711360105267 y1[1] (numeric) = 0.844271136010618 absolute error = 9.126033262418787e-14 relative error = 1.080936309814221e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5359162704187052 y2[1] (numeric) = -0.5359162704185602 absolute error = 1.449951270160454e-13 relative error = 2.705555606713758e-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 y1[1] (analytic) = 0.8448066300560931 y1[1] (numeric) = 0.8448066300561844 absolute error = 9.126033262418787e-14 relative error = 1.080251141236053e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5350717314652937 y2[1] (numeric) = -0.5350717314651485 absolute error = 1.452171716209705e-13 relative error = 2.713975773365812e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.577999999999827 y1[1] (analytic) = 0.8453412792950999 y1[1] (numeric) = 0.8453412792951911 absolute error = 9.114931032172535e-14 relative error = 1.078254576633611e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5342266574401954 y2[1] (numeric) = -0.53422665744005 absolute error = 1.45328193923433e-13 relative error = 2.720347101729979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.578999999999827 y1[1] (analytic) = 0.8458750831928978 y1[1] (numeric) = 0.845875083192989 absolute error = 9.114931032172535e-14 relative error = 1.077574125693205e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5333810491884841 y2[1] (numeric) = -0.5333810491883386 absolute error = 1.454392162258955e-13 relative error = 2.72674135024435e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.579999999999826 y1[1] (analytic) = 0.8464080412156831 y1[1] (numeric) = 0.8464080412157742 absolute error = 9.103828801926284e-14 relative error = 1.07558392153867e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5325349075557682 y2[1] (numeric) = -0.5325349075556224 absolute error = 1.457722831332831e-13 relative error = 2.737328221399599e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.580999999999826 y1[1] (analytic) = 0.8469401528304976 y1[1] (numeric) = 0.8469401528305887 absolute error = 9.103828801926284e-14 relative error = 1.074908158681701e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5316882333881889 y2[1] (numeric) = -0.5316882333880431 absolute error = 1.458833054357456e-13 relative error = 2.743775323108105e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.581999999999826 y1[1] (analytic) = 0.8474714175052299 y1[1] (numeric) = 0.8474714175053208 absolute error = 9.092726571680032e-14 relative error = 1.072924276130401e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5308410275324207 y2[1] (numeric) = -0.5308410275322746 absolute error = 1.461053500406706e-13 relative error = 2.752337186894382e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.582999999999826 y1[1] (analytic) = 0.8480018347086153 y1[1] (numeric) = 0.8480018347087062 absolute error = 9.081624341433781e-14 relative error = 1.070943949614725e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5299932908356692 y2[1] (numeric) = -0.5299932908355228 absolute error = 1.463273946455956e-13 relative error = 2.760929188648281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.583999999999826 y1[1] (analytic) = 0.8485314039102367 y1[1] (numeric) = 0.8485314039103274 absolute error = 9.070522111187529e-14 relative error = 1.068967167200693e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5291450241456709 y2[1] (numeric) = -0.5291450241455244 absolute error = 1.464384169480581e-13 relative error = 2.767453349570654e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.584999999999826 y1[1] (analytic) = 0.8490601245805249 y1[1] (numeric) = 0.8490601245806155 absolute error = 9.059419880941277e-14 relative error = 1.066993916999347e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5282962283106926 y2[1] (numeric) = -0.528296228310546 absolute error = 1.465494392505207e-13 relative error = 2.774001240159044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.585999999999826 y1[1] (analytic) = 0.8495879961907593 y1[1] (numeric) = 0.8495879961908498 absolute error = 9.048317650695026e-14 relative error = 1.065024187166528e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5274469041795301 y2[1] (numeric) = -0.5274469041793832 absolute error = 1.468825061579082e-13 relative error = 2.784782790343442e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.586999999999826 y1[1] (analytic) = 0.8501150182130682 y1[1] (numeric) = 0.8501150182131587 absolute error = 9.048317650695026e-14 relative error = 1.064363933919728e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5265970526015072 y2[1] (numeric) = -0.5265970526013602 absolute error = 1.469935284603707e-13 relative error = 2.791385324589073e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.587999999999826 y1[1] (analytic) = 0.8506411901204298 y1[1] (numeric) = 0.8506411901205202 absolute error = 9.037215420448774e-14 relative error = 1.062400401651057e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5257466744264757 y2[1] (numeric) = -0.5257466744263286 absolute error = 1.471045507628332e-13 relative error = 2.798012006891076e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.588999999999825 y1[1] (analytic) = 0.8511665113866722 y1[1] (numeric) = 0.8511665113867625 absolute error = 9.026113190202523e-14 relative error = 1.060440356787263e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5248957705048136 y2[1] (numeric) = -0.5248957705046663 absolute error = 1.473265953677583e-13 relative error = 2.806778100461131e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.589999999999825 y1[1] (analytic) = 0.8516909814864742 y1[1] (numeric) = 0.8516909814865643 absolute error = 9.015010959956271e-14 relative error = 1.058483787655258e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5240443416874248 y2[1] (numeric) = -0.5240443416872772 absolute error = 1.475486399726833e-13 relative error = 2.815575481600968e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.590999999999825 y1[1] (analytic) = 0.8522145998953655 y1[1] (numeric) = 0.8522145998954556 absolute error = 9.00390872971002e-14 relative error = 1.056530682625657e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5231923888257378 y2[1] (numeric) = -0.5231923888255902 absolute error = 1.476596622751458e-13 relative error = 2.822282308168813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.591999999999825 y1[1] (analytic) = 0.8527373660897281 y1[1] (numeric) = 0.852737366089818 absolute error = 8.992806499463768e-14 relative error = 1.05458103011256e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5223399127717058 y2[1] (numeric) = -0.5223399127715579 absolute error = 1.478817068800709e-13 relative error = 2.831139326408398e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.592999999999825 y1[1] (analytic) = 0.8532592795467955 y1[1] (numeric) = 0.8532592795468854 absolute error = 8.992806499463768e-14 relative error = 1.053935974096907e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5214869143778044 y2[1] (numeric) = -0.5214869143776564 absolute error = 1.479927291825334e-13 relative error = 2.837899189840769e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.593999999999825 y1[1] (analytic) = 0.8537803397446545 y1[1] (numeric) = 0.8537803397447443 absolute error = 8.981704269217516e-14 relative error = 1.051992397939701e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5206333944970321 y2[1] (numeric) = -0.5206333944968839 absolute error = 1.481037514849959e-13 relative error = 2.844684053124836e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.594999999999825 y1[1] (analytic) = 0.854300546162245 y1[1] (numeric) = 0.8543005461623346 absolute error = 8.959499808725013e-14 relative error = 1.048752672460947e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5197793539829086 y2[1] (numeric) = -0.5197793539827603 absolute error = 1.483257960899209e-13 relative error = 2.853630005758139e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.595999999999825 y1[1] (analytic) = 0.8548198982793604 y1[1] (numeric) = 0.85481989827945 absolute error = 8.959499808725013e-14 relative error = 1.04811549506034e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5189247936894746 y2[1] (numeric) = -0.5189247936893261 absolute error = 1.485478406948459e-13 relative error = 2.862608271975095e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.596999999999825 y1[1] (analytic) = 0.8553383955766489 y1[1] (numeric) = 0.8553383955767384 absolute error = 8.948397578478762e-14 relative error = 1.046182145540884e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5180697144712901 y2[1] (numeric) = -0.5180697144711414 absolute error = 1.48769885299771e-13 relative error = 2.871619033967201e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.597999999999824 y1[1] (analytic) = 0.855856037535613 y1[1] (numeric) = 0.8558560375357025 absolute error = 8.948397578478762e-14 relative error = 1.045549389853596e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5172141171834342 y2[1] (numeric) = -0.5172141171832854 absolute error = 1.488809076022335e-13 relative error = 2.87851593094532e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.598999999999824 y1[1] (analytic) = 0.856372823638611 y1[1] (numeric) = 0.8563728236387004 absolute error = 8.93729534823251e-14 relative error = 1.04362201853384e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5163580026815044 y2[1] (numeric) = -0.5163580026813552 absolute error = 1.49213974509621e-13 relative error = 2.889738780743908e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.599999999999824 y1[1] (analytic) = 0.8568887533688566 y1[1] (numeric) = 0.8568887533689459 absolute error = 8.926193117986259e-14 relative error = 1.041698013060966e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5155013718216148 y2[1] (numeric) = -0.5155013718214655 absolute error = 1.493249968120836e-13 relative error = 2.896694460470928e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.600999999999824 y1[1] (analytic) = 0.8574038262104203 y1[1] (numeric) = 0.8574038262105095 absolute error = 8.915090887740007e-14 relative error = 1.039777362219527e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5146442254603965 y2[1] (numeric) = -0.5146442254602469 absolute error = 1.495470414170086e-13 relative error = 2.905833467444914e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.601999999999824 y1[1] (analytic) = 0.8579180416482293 y1[1] (numeric) = 0.8579180416483183 absolute error = 8.903988657493755e-14 relative error = 1.037860054835476e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5137865644549955 y2[1] (numeric) = -0.5137865644548457 absolute error = 1.497690860219336e-13 relative error = 2.915005887333834e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.602999999999824 y1[1] (analytic) = 0.858431399168068 y1[1] (numeric) = 0.858431399168157 absolute error = 8.903988657493755e-14 relative error = 1.037239395730734e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5129283896630729 y2[1] (numeric) = -0.5129283896629229 absolute error = 1.499911306268586e-13 relative error = 2.924211910465383e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.603999999999824 y1[1] (analytic) = 0.8589438982565791 y1[1] (numeric) = 0.8589438982566681 absolute error = 8.892886427247504e-14 relative error = 1.03532797023154e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5120697019428033 y2[1] (numeric) = -0.5120697019426531 absolute error = 1.502131752317837e-13 relative error = 2.933451728580537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.604999999999824 y1[1] (analytic) = 0.8594555384012637 y1[1] (numeric) = 0.8594555384013525 absolute error = 8.881784197001252e-14 relative error = 1.033419857125234e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5112105021528744 y2[1] (numeric) = -0.5112105021527241 absolute error = 1.503241975342462e-13 relative error = 2.94055378168449e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.605999999999824 y1[1] (analytic) = 0.8599663190904813 y1[1] (numeric) = 0.8599663190905701 absolute error = 8.881784197001252e-14 relative error = 1.03280605296203e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5103507911524862 y2[1] (numeric) = -0.5103507911523356 absolute error = 1.505462421391712e-13 relative error = 2.949858112283987e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.606999999999823 y1[1] (analytic) = 0.8604762398134516 y1[1] (numeric) = 0.8604762398135403 absolute error = 8.870681966755001e-14 relative error = 1.030903766579091e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5094905698013491 y2[1] (numeric) = -0.5094905698011984 absolute error = 1.506572644416337e-13 relative error = 2.957017722631749e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.607999999999823 y1[1] (analytic) = 0.8609853000602536 y1[1] (numeric) = 0.8609853000603424 absolute error = 8.870681966755001e-14 relative error = 1.030294241508445e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5086298389596848 y2[1] (numeric) = -0.508629838959534 absolute error = 1.508793090465588e-13 relative error = 2.966387291692452e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.608999999999823 y1[1] (analytic) = 0.8614934993218275 y1[1] (numeric) = 0.8614934993219161 absolute error = 8.859579736508749e-14 relative error = 1.028397746875984e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5077685994882239 y2[1] (numeric) = -0.5077685994880728 absolute error = 1.511013536514838e-13 relative error = 2.975791606723568e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.609999999999823 y1[1] (analytic) = 0.8620008370899739 y1[1] (numeric) = 0.8620008370900624 absolute error = 8.848477506262498e-14 relative error = 1.026504514326697e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5069068522482059 y2[1] (numeric) = -0.5069068522480545 absolute error = 1.513233982564088e-13 relative error = 2.985230868063185e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.610999999999823 y1[1] (analytic) = 0.8625073128573549 y1[1] (numeric) = 0.8625073128574433 absolute error = 8.837375276016246e-14 relative error = 1.024614533033856e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5060445981013777 y2[1] (numeric) = -0.5060445981012263 absolute error = 1.514344205588714e-13 relative error = 2.992511354276604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.611999999999823 y1[1] (analytic) = 0.8630129261174949 y1[1] (numeric) = 0.8630129261175833 absolute error = 8.837375276016246e-14 relative error = 1.024014242263282e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5051818379099937 y2[1] (numeric) = -0.5051818379098421 absolute error = 1.516564651637964e-13 relative error = 3.002017368463203e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.612999999999823 y1[1] (analytic) = 0.8635176763647808 y1[1] (numeric) = 0.8635176763648691 absolute error = 8.826273045769994e-14 relative error = 1.022129979194712e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5043185725368139 y2[1] (numeric) = -0.504318572536662 absolute error = 1.518785097687214e-13 relative error = 3.011558924049633e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.613999999999823 y1[1] (analytic) = 0.8640215630944623 y1[1] (numeric) = 0.8640215630945505 absolute error = 8.815170815523743e-14 relative error = 1.020248937301116e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5034548028451036 y2[1] (numeric) = -0.5034548028449515 absolute error = 1.521005543736464e-13 relative error = 3.02113622740516e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.614999999999823 y1[1] (analytic) = 0.8645245858026527 y1[1] (numeric) = 0.8645245858027407 absolute error = 8.804068585277491e-14 relative error = 1.018371105907128e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5025905296986324 y2[1] (numeric) = -0.5025905296984801 absolute error = 1.523225989785715e-13 relative error = 3.030749486463831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.615999999999822 y1[1] (analytic) = 0.8650267439863293 y1[1] (numeric) = 0.8650267439864172 absolute error = 8.79296635503124e-14 relative error = 1.01649647437608e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5017257539616733 y2[1] (numeric) = -0.5017257539615209 absolute error = 1.52433621281034e-13 relative error = 3.038186102216279e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.616999999999822 y1[1] (analytic) = 0.865528037143334 y1[1] (numeric) = 0.8655280371434219 absolute error = 8.781864124784988e-14 relative error = 1.014625032109813e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.5008604764990021 y2[1] (numeric) = -0.5008604764988495 absolute error = 1.52655665885959e-13 relative error = 3.047868080009367e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.617999999999822 y1[1] (analytic) = 0.8660284647723737 y1[1] (numeric) = 0.8660284647724614 absolute error = 8.770761894538737e-14 relative error = 1.012756768548484e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.4999946981758961 y2[1] (numeric) = -0.4999946981757433 absolute error = 1.528221993396528e-13 relative error = 3.056476396593521e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.618999999999822 y1[1] (analytic) = 0.8665280263730207 y1[1] (numeric) = 0.8665280263731084 absolute error = 8.770761894538737e-14 relative error = 1.012172904695309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.4991284198581337 y2[1] (numeric) = -0.4991284198579807 absolute error = 1.530442439445778e-13 relative error = 3.066229808915255e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y1[1] (analytic) = 0.8670267214457137 y1[1] (numeric) = 0.8670267214458013 absolute error = 8.759659664292485e-14 relative error = 1.010310230079909e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.4982616424119929 y2[1] (numeric) = -0.4982616424118398 absolute error = 1.531552662470403e-13 relative error = 3.07379202431967e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.620999999999822 y1[1] (analytic) = 0.8675245494917575 y1[1] (numeric) = 0.8675245494918449 absolute error = 8.737455203799982e-14 relative error = 1.007170945066494e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.4973943667042514 y2[1] (numeric) = -0.497394366704098 absolute error = 1.533773108519654e-13 relative error = 3.08361576083476e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.621999999999822 y1[1] (analytic) = 0.8680215100133239 y1[1] (numeric) = 0.8680215100134113 absolute error = 8.737455203799982e-14 relative error = 1.006594318574647e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.4965265936021845 y2[1] (numeric) = -0.4965265936020309 absolute error = 1.535438443056591e-13 relative error = 3.092358924659692e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.622999999999822 y1[1] (analytic) = 0.8685176025134529 y1[1] (numeric) = 0.86851760251354 absolute error = 8.715250743307479e-14 relative error = 1.003462764379895e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.4956583239735654 y2[1] (numeric) = -0.4956583239734116 absolute error = 1.537658889105842e-13 relative error = 3.102255757108698e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.623999999999822 y1[1] (analytic) = 0.8690128264960516 y1[1] (numeric) = 0.8690128264961386 absolute error = 8.704148513061227e-14 relative error = 1.001613353413579e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = -0.4947895586866636 y2[1] (numeric) = -0.4947895586865097 absolute error = 1.53932422364278e-13 relative error = 3.111068527251583e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.624999999999821 y1[1] (analytic) = 0.8695071814658962 y1[1] (numeric) = 0.8695071814659832 absolute error = 8.693046282814976e-14 relative error = 9.997670482904382e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4939202986102444 y2[1] (numeric) = -0.4939202986100903 absolute error = 1.540989558179717e-13 relative error = 3.119915424645712e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.625999999999821 y1[1] (analytic) = 0.8700006669286319 y1[1] (numeric) = 0.8700006669287187 absolute error = 8.681944052568724e-14 relative error = 9.979238387504505e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4930505446135677 y2[1] (numeric) = -0.4930505446134135 absolute error = 1.542654892716655e-13 relative error = 3.128796650910756e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.626999999999821 y1[1] (analytic) = 0.8704932823907731 y1[1] (numeric) = 0.8704932823908598 absolute error = 8.670841822322473e-14 relative error = 9.96083714570246e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4921802975663875 y2[1] (numeric) = -0.4921802975662331 absolute error = 1.544320227253593e-13 relative error = 3.137712409232082e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.627999999999821 y1[1] (analytic) = 0.8709850273597044 y1[1] (numeric) = 0.870985027359791 absolute error = 8.659739592076221e-14 relative error = 9.942466655629285e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4913095583389508 y2[1] (numeric) = -0.4913095583387962 absolute error = 1.54598556179053e-13 relative error = 3.146662904375996e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.628999999999821 y1[1] (analytic) = 0.871475901343681 y1[1] (numeric) = 0.8714759013437675 absolute error = 8.648637361829969e-14 relative error = 9.924126815778965e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4904383278019966 y2[1] (numeric) = -0.4904383278018419 absolute error = 1.547650896327468e-13 relative error = 3.155648342705175e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y1[1] (analytic) = 0.8719659038518289 y1[1] (numeric) = 0.8719659038519153 absolute error = 8.637535131583718e-14 relative error = 9.905817525006659e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4895666068267556 y2[1] (numeric) = -0.4895666068266006 absolute error = 1.549316230864406e-13 relative error = 3.164668932194281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.630999999999821 y1[1] (analytic) = 0.8724550343941456 y1[1] (numeric) = 0.8724550343942319 absolute error = 8.626432901337466e-14 relative error = 9.887538682526916e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4886943962849485 y2[1] (numeric) = -0.4886943962847933 absolute error = 1.551536676913656e-13 relative error = 3.174860789705034e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.631999999999821 y1[1] (analytic) = 0.8729432924815006 y1[1] (numeric) = 0.8729432924815868 absolute error = 8.615330671091215e-14 relative error = 9.869290187911938e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4878216970487858 y2[1] (numeric) = -0.4878216970486305 absolute error = 1.553202011450594e-13 relative error = 3.183954344071051e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.632999999999821 y1[1] (analytic) = 0.8734306776256359 y1[1] (numeric) = 0.8734306776257219 absolute error = 8.604228440844963e-14 relative error = 9.851071941089813e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4869485099909667 y2[1] (numeric) = -0.4869485099908112 absolute error = 1.554867345987532e-13 relative error = 3.193083691777547e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63399999999982 y1[1] (analytic) = 0.8739171893391662 y1[1] (numeric) = 0.8739171893392522 absolute error = 8.604228440844963e-14 relative error = 9.845587826635222e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4860748359846783 y2[1] (numeric) = -0.4860748359845226 absolute error = 1.557087792036782e-13 relative error = 3.203391076360644e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63499999999982 y1[1] (analytic) = 0.8744028271355802 y1[1] (numeric) = 0.874402827135666 absolute error = 8.58202398035246e-14 relative error = 9.814725792305539e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4852006759035943 y2[1] (numeric) = -0.4852006759034384 absolute error = 1.559308238086032e-13 relative error = 3.213738800305907e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63599999999982 y1[1] (analytic) = 0.8748875905292398 y1[1] (numeric) = 0.8748875905293255 absolute error = 8.570921750106208e-14 relative error = 9.796597691963443e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4843260306218749 y2[1] (numeric) = -0.4843260306217188 absolute error = 1.56097357262297e-13 relative error = 3.222980954830528e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63699999999982 y1[1] (analytic) = 0.8753714790353818 y1[1] (numeric) = 0.8753714790354674 absolute error = 8.559819519859957e-14 relative error = 9.778499442650879e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4834509010141652 y2[1] (numeric) = -0.4834509010140089 absolute error = 1.562638907159908e-13 relative error = 3.232259788702146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63799999999982 y1[1] (analytic) = 0.8758544921701177 y1[1] (numeric) = 0.8758544921702033 absolute error = 8.559819519859957e-14 relative error = 9.773106830395042e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4825752879555948 y2[1] (numeric) = -0.4825752879554384 absolute error = 1.564304241696846e-13 relative error = 3.241575523529063e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63899999999982 y1[1] (analytic) = 0.8763366294504344 y1[1] (numeric) = 0.8763366294505199 absolute error = 8.548717289613705e-14 relative error = 9.755061014595215e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4816991923217767 y2[1] (numeric) = -0.48169919232162 absolute error = 1.566524687746096e-13 relative error = 3.252080785511578e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y1[1] (analytic) = 0.8768178903941948 y1[1] (numeric) = 0.8768178903942802 absolute error = 8.537615059367454e-14 relative error = 9.737044776229602e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4808226149888064 y2[1] (numeric) = -0.4808226149886495 absolute error = 1.568745133795346e-13 relative error = 3.262627598811813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64099999999982 y1[1] (analytic) = 0.8772982745201378 y1[1] (numeric) = 0.877298274520223 absolute error = 8.526512829121202e-14 relative error = 9.719058017964313e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4799455568332611 y2[1] (numeric) = -0.479945556833104 absolute error = 1.570410468332284e-13 relative error = 3.272059603372604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.64199999999982 y1[1] (analytic) = 0.8777777813478793 y1[1] (numeric) = 0.8777777813479645 absolute error = 8.515410598874951e-14 relative error = 9.701100642806244e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.479068018732199 y2[1] (numeric) = -0.4790680187320417 absolute error = 1.572630914381534e-13 relative error = 3.282688163036492e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.642999999999819 y1[1] (analytic) = 0.8782564103979127 y1[1] (numeric) = 0.8782564103979977 absolute error = 8.504308368628699e-14 relative error = 9.683172554101418e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4781900015631581 y2[1] (numeric) = -0.4781900015630007 absolute error = 1.574296248918472e-13 relative error = 3.292198171798335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.643999999999819 y1[1] (analytic) = 0.8787341611916089 y1[1] (numeric) = 0.8787341611916938 absolute error = 8.493206138382448e-14 relative error = 9.665273655533343e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4773115062041555 y2[1] (numeric) = -0.4773115062039979 absolute error = 1.57596158345541e-13 relative error = 3.301746475772868e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.644999999999819 y1[1] (analytic) = 0.8792110332512171 y1[1] (numeric) = 0.8792110332513019 absolute error = 8.482103908136196e-14 relative error = 9.647403851121377e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4764325335336864 y2[1] (numeric) = -0.4764325335335287 absolute error = 1.577626917992347e-13 relative error = 3.311333309442858e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.645999999999819 y1[1] (analytic) = 0.8796870260998653 y1[1] (numeric) = 0.87968702609995 absolute error = 8.471001677889944e-14 relative error = 9.629563045219091e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4755530844307236 y2[1] (numeric) = -0.4755530844305656 absolute error = 1.579847364041598e-13 relative error = 3.322126205811084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.646999999999819 y1[1] (analytic) = 0.8801621392615607 y1[1] (numeric) = 0.8801621392616453 absolute error = 8.459899447643693e-14 relative error = 9.611751142512659e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4746731597747159 y2[1] (numeric) = -0.4746731597745578 absolute error = 1.581512698578535e-13 relative error = 3.331792973778284e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.647999999999819 y1[1] (analytic) = 0.8806363722611903 y1[1] (numeric) = 0.8806363722612748 absolute error = 8.448797217397441e-14 relative error = 9.593968048019246e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.473792760445588 y2[1] (numeric) = -0.4737927604454297 absolute error = 1.583178033115473e-13 relative error = 3.341498995523995e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.648999999999819 y1[1] (analytic) = 0.8811097246245209 y1[1] (numeric) = 0.8811097246246054 absolute error = 8.448797217397441e-14 relative error = 9.588813948226301e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4729118873237392 y2[1] (numeric) = -0.4729118873235806 absolute error = 1.585398479164724e-13 relative error = 3.352418329208575e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y1[1] (analytic) = 0.8815821958782003 y1[1] (numeric) = 0.8815821958782847 absolute error = 8.43769498715119e-14 relative error = 9.571081433587555e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4720305412900424 y2[1] (numeric) = -0.4720305412898837 absolute error = 1.587063813701661e-13 relative error = 3.362205778813111e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.650999999999819 y1[1] (analytic) = 0.8820537855497573 y1[1] (numeric) = 0.8820537855498416 absolute error = 8.426592756904938e-14 relative error = 9.55337746399773e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4711487232258437 y2[1] (numeric) = -0.4711487232256848 absolute error = 1.588729148238599e-13 relative error = 3.37203322416104e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.651999999999819 y1[1] (analytic) = 0.8825244931676024 y1[1] (numeric) = 0.8825244931676864 absolute error = 8.404388296412435e-14 relative error = 9.523121864014188e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.470266434012961 y2[1] (numeric) = -0.4702664340128019 absolute error = 1.590394482775537e-13 relative error = 3.381900913497271e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.652999999999818 y1[1] (analytic) = 0.8829943182610277 y1[1] (numeric) = 0.8829943182611117 absolute error = 8.404388296412435e-14 relative error = 9.518054785407984e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4693836745336835 y2[1] (numeric) = -0.4693836745335243 absolute error = 1.592059817312474e-13 relative error = 3.391809097097659e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.653999999999818 y1[1] (analytic) = 0.8834632603602084 y1[1] (numeric) = 0.8834632603602923 absolute error = 8.393286066166183e-14 relative error = 9.500435889936211e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4685004456707705 y2[1] (numeric) = -0.4685004456706112 absolute error = 1.593725151849412e-13 relative error = 3.401758027289842e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.654999999999818 y1[1] (analytic) = 0.8839313189962024 y1[1] (numeric) = 0.8839313189962862 absolute error = 8.382183835919932e-14 relative error = 9.482845166566549e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.467616748307451 y2[1] (numeric) = -0.4676167483072914 absolute error = 1.59539048638635e-13 relative error = 3.411747958474329e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.655999999999818 y1[1] (analytic) = 0.8843984937009509 y1[1] (numeric) = 0.8843984937010347 absolute error = 8.382183835919932e-14 relative error = 9.477835947959304e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4667325833274221 y2[1] (numeric) = -0.4667325833272624 absolute error = 1.597055820923288e-13 relative error = 3.421779147145854e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.656999999999818 y1[1] (analytic) = 0.8848647840072795 y1[1] (numeric) = 0.8848647840073632 absolute error = 8.37108160567368e-14 relative error = 9.460294676621252e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4658479516148488 y2[1] (numeric) = -0.4658479516146888 absolute error = 1.599276266972538e-13 relative error = 3.433043467141354e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.657999999999818 y1[1] (analytic) = 0.885330189448898 y1[1] (numeric) = 0.8853301894489815 absolute error = 8.348877145181177e-14 relative error = 9.430241106290752e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4649628540543627 y2[1] (numeric) = -0.4649628540542025 absolute error = 1.601496713021788e-13 relative error = 3.444354100670898e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.658999999999818 y1[1] (analytic) = 0.8857947095604006 y1[1] (numeric) = 0.885794709560484 absolute error = 8.337774914934926e-14 relative error = 9.412762150129311e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4640772915310612 y2[1] (numeric) = -0.4640772915309009 absolute error = 1.603162047558726e-13 relative error = 3.454515178429981e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y1[1] (analytic) = 0.8862583438772675 y1[1] (numeric) = 0.8862583438773508 absolute error = 8.326672684688674e-14 relative error = 9.395310907043808e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4631912649305069 y2[1] (numeric) = -0.4631912649303464 absolute error = 1.605382493607976e-13 relative error = 3.465917030729916e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.660999999999818 y1[1] (analytic) = 0.8867210919358645 y1[1] (numeric) = 0.8867210919359476 absolute error = 8.315570454442422e-14 relative error = 9.377887286168082e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4623047751387263 y2[1] (numeric) = -0.4623047751385656 absolute error = 1.607047828144914e-13 relative error = 3.476165323325242e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.661999999999817 y1[1] (analytic) = 0.8871829532734433 y1[1] (numeric) = 0.8871829532735264 absolute error = 8.304468224196171e-14 relative error = 9.360491196945493e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4614178230422091 y2[1] (numeric) = -0.4614178230420482 absolute error = 1.608713162681852e-13 relative error = 3.486456487691182e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.662999999999817 y1[1] (analytic) = 0.8876439274281428 y1[1] (numeric) = 0.8876439274282257 absolute error = 8.293365993949919e-14 relative error = 9.343122549127437e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4605304095279072 y2[1] (numeric) = -0.4605304095277462 absolute error = 1.61037849721879e-13 relative error = 3.496790795790443e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.663999999999817 y1[1] (analytic) = 0.8881040139389889 y1[1] (numeric) = 0.8881040139390717 absolute error = 8.282263763703668e-14 relative error = 9.325781252771867e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4596425354832342 y2[1] (numeric) = -0.459642535483073 absolute error = 1.612043831755727e-13 relative error = 3.507168521862197e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.664999999999817 y1[1] (analytic) = 0.888563212345895 y1[1] (numeric) = 0.8885632123459777 absolute error = 8.271161533457416e-14 relative error = 9.308467218241829e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4587542017960641 y2[1] (numeric) = -0.4587542017959027 absolute error = 1.614264277804978e-13 relative error = 3.518799983705843e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.665999999999817 y1[1] (analytic) = 0.8890215221896628 y1[1] (numeric) = 0.8890215221897454 absolute error = 8.260059303211165e-14 relative error = 9.291180356203991e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4578654093547304 y2[1] (numeric) = -0.4578654093545688 absolute error = 1.615929612341915e-13 relative error = 3.529267726555811e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.666999999999817 y1[1] (analytic) = 0.8894789430119826 y1[1] (numeric) = 0.889478943012065 absolute error = 8.237854842718662e-14 relative error = 9.261438854104145e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4569761590480255 y2[1] (numeric) = -0.4569761590478637 absolute error = 1.617594946878853e-13 relative error = 3.539779734349016e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.667999999999817 y1[1] (analytic) = 0.8899354743554334 y1[1] (numeric) = 0.8899354743555157 absolute error = 8.22675261247241e-14 relative error = 9.244212473304224e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4560864517651996 y2[1] (numeric) = -0.4560864517650376 absolute error = 1.619260281415791e-13 relative error = 3.550336290737729e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.668999999999817 y1[1] (analytic) = 0.8903911157634841 y1[1] (numeric) = 0.8903911157635662 absolute error = 8.215650382226158e-14 relative error = 9.227012979775164e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4551962883959599 y2[1] (numeric) = -0.4551962883957978 absolute error = 1.620925615952729e-13 relative error = 3.560937681773758e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y1[1] (analytic) = 0.8908458667804932 y1[1] (numeric) = 0.8908458667805752 absolute error = 8.204548151979907e-14 relative error = 9.209840285425638e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4543056698304698 y2[1] (numeric) = -0.4543056698303076 absolute error = 1.622590950489666e-13 relative error = 3.571584195933891e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.670999999999816 y1[1] (analytic) = 0.8912997269517097 y1[1] (numeric) = 0.8912997269517916 absolute error = 8.193445921733655e-14 relative error = 9.192694302460583e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4534145969593478 y2[1] (numeric) = -0.4534145969591853 absolute error = 1.624811396538917e-13 relative error = 3.583500415370602e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.671999999999816 y1[1] (analytic) = 0.8917526958232735 y1[1] (numeric) = 0.8917526958233554 absolute error = 8.182343691487404e-14 relative error = 9.175574943379785e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4525230706736665 y2[1] (numeric) = -0.4525230706735038 absolute error = 1.627031842588167e-13 relative error = 3.595467166272918e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.672999999999816 y1[1] (analytic) = 0.8922047729422159 y1[1] (numeric) = 0.8922047729422976 absolute error = 8.171241461241152e-14 relative error = 9.158482120976467e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4516310918649523 y2[1] (numeric) = -0.4516310918647894 absolute error = 1.628697177125105e-13 relative error = 3.606255650822467e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.673999999999816 y1[1] (analytic) = 0.8926559578564597 y1[1] (numeric) = 0.8926559578565413 absolute error = 8.160139230994901e-14 relative error = 9.141415748335892e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4507386614251839 y2[1] (numeric) = -0.4507386614250208 absolute error = 1.630362511662042e-13 relative error = 3.617090458819359e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.674999999999816 y1[1] (analytic) = 0.8931062501148199 y1[1] (numeric) = 0.8931062501149014 absolute error = 8.149037000748649e-14 relative error = 9.124375738833974e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4498457802467916 y2[1] (numeric) = -0.4498457802466284 absolute error = 1.63202784619898e-13 relative error = 3.627971891397153e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.675999999999816 y1[1] (analytic) = 0.8935556492670046 y1[1] (numeric) = 0.8935556492670859 absolute error = 8.126832540256146e-14 relative error = 9.094937228501317e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4489524492226565 y2[1] (numeric) = -0.4489524492224931 absolute error = 1.633693180735918e-13 relative error = 3.638900252275254e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.676999999999816 y1[1] (analytic) = 0.8940041548636144 y1[1] (numeric) = 0.8940041548636956 absolute error = 8.115730310009894e-14 relative error = 9.077955919844687e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4480586692461096 y2[1] (numeric) = -0.4480586692459461 absolute error = 1.635358515272856e-13 relative error = 3.649875847786768e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.677999999999816 y1[1] (analytic) = 0.8944517664561438 y1[1] (numeric) = 0.8944517664562249 absolute error = 8.115730310009894e-14 relative error = 9.073413027249938e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4471644412109309 y2[1] (numeric) = -0.4471644412107671 absolute error = 1.637578961322106e-13 relative error = 3.66214039042887e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.678999999999816 y1[1] (analytic) = 0.8948984835969813 y1[1] (numeric) = 0.8948984835970624 absolute error = 8.104628079763643e-14 relative error = 9.056477609826382e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4462697660113481 y2[1] (numeric) = -0.4462697660111842 absolute error = 1.639244295859044e-13 relative error = 3.673213873550555e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.679999999999815 y1[1] (analytic) = 0.8953443058394098 y1[1] (numeric) = 0.8953443058394908 absolute error = 8.093525849517391e-14 relative error = 9.03956812673253e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4453746445420365 y2[1] (numeric) = -0.4453746445418724 absolute error = 1.640909630395981e-13 relative error = 3.684335537518694e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.680999999999815 y1[1] (analytic) = 0.895789232737607 y1[1] (numeric) = 0.895789232737688 absolute error = 8.093525849517391e-14 relative error = 9.035078290439926e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4444790776981176 y2[1] (numeric) = -0.4444790776979533 absolute error = 1.643130076445232e-13 relative error = 3.696754603061917e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.681999999999815 y1[1] (analytic) = 0.8962332638466463 y1[1] (numeric) = 0.896233263846727 absolute error = 8.071321389024888e-14 relative error = 9.005826624178909e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4435830663751579 y2[1] (numeric) = -0.4435830663749935 absolute error = 1.644795410982169e-13 relative error = 3.707976105632249e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.682999999999815 y1[1] (analytic) = 0.8966763987224963 y1[1] (numeric) = 0.8966763987225769 absolute error = 8.060219158778636e-14 relative error = 8.988994435743052e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4426866114691689 y2[1] (numeric) = -0.4426866114690042 absolute error = 1.646460745519107e-13 relative error = 3.719246760264345e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.683999999999815 y1[1] (analytic) = 0.8971186369220223 y1[1] (numeric) = 0.8971186369221028 absolute error = 8.049116928532385e-14 relative error = 8.972187843682056e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4417897138766053 y2[1] (numeric) = -0.4417897138764404 absolute error = 1.648126080056045e-13 relative error = 3.730566892547383e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.684999999999815 y1[1] (analytic) = 0.8975599780029861 y1[1] (numeric) = 0.8975599780030665 absolute error = 8.038014698286133e-14 relative error = 8.95540676420333e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4408923744943645 y2[1] (numeric) = -0.4408923744941996 absolute error = 1.64923630308067e-13 relative error = 3.740677767385044e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.685999999999815 y1[1] (analytic) = 0.8980004215240468 y1[1] (numeric) = 0.8980004215241271 absolute error = 8.026912468039882e-14 relative error = 8.93865111379008e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4399945942197861 y2[1] (numeric) = -0.439994594219621 absolute error = 1.650901637617608e-13 relative error = 3.752095274136366e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.686999999999815 y1[1] (analytic) = 0.8984399670447608 y1[1] (numeric) = 0.898439967044841 absolute error = 8.01581023779363e-14 relative error = 8.921920809200018e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4390963739506501 y2[1] (numeric) = -0.4390963739504848 absolute error = 1.652566972154546e-13 relative error = 3.763563240766541e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.687999999999815 y1[1] (analytic) = 0.8988786141255826 y1[1] (numeric) = 0.8988786141256626 absolute error = 8.004708007547379e-14 relative error = 8.905215767464058e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4381977145851768 y2[1] (numeric) = -0.4381977145850113 absolute error = 1.654232306691483e-13 relative error = 3.77508200438123e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.688999999999814 y1[1] (analytic) = 0.8993163623278652 y1[1] (numeric) = 0.8993163623279451 absolute error = 7.993605777301127e-14 relative error = 8.888535905885015e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4372986170220253 y2[1] (numeric) = -0.4372986170218597 absolute error = 1.655897641228421e-13 relative error = 3.786651905064266e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.689999999999814 y1[1] (analytic) = 0.8997532112138603 y1[1] (numeric) = 0.8997532112139401 absolute error = 7.982503547054876e-14 relative error = 8.871881142036326e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4363990821602933 y2[1] (numeric) = -0.4363990821601276 absolute error = 1.657562975765359e-13 relative error = 3.798273285910626e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.690999999999814 y1[1] (analytic) = 0.9001891603467193 y1[1] (numeric) = 0.900189160346799 absolute error = 7.971401316808624e-14 relative error = 8.855251393760772e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4354991108995155 y2[1] (numeric) = -0.4354991108993496 absolute error = 1.659228310302296e-13 relative error = 3.80994649305986e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.691999999999814 y1[1] (analytic) = 0.9006242092904929 y1[1] (numeric) = 0.9006242092905725 absolute error = 7.960299086562372e-14 relative error = 8.838646579169191e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4345987041396631 y2[1] (numeric) = -0.434598704139497 absolute error = 1.660893644839234e-13 relative error = 3.821671875729955e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.692999999999814 y1[1] (analytic) = 0.9010583576101323 y1[1] (numeric) = 0.9010583576102118 absolute error = 7.949196856316121e-14 relative error = 8.82206661663923e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4336978627811428 y2[1] (numeric) = -0.4336978627809765 absolute error = 1.663114090888484e-13 relative error = 3.834729736096815e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.693999999999814 y1[1] (analytic) = 0.9014916048714892 y1[1] (numeric) = 0.9014916048715685 absolute error = 7.938094626069869e-14 relative error = 8.805511424814069e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4327965877247958 y2[1] (numeric) = -0.4327965877246294 absolute error = 1.664779425425422e-13 relative error = 3.846563195373463e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.694999999999814 y1[1] (analytic) = 0.9019239506413163 y1[1] (numeric) = 0.9019239506413955 absolute error = 7.926992395823618e-14 relative error = 8.788980922601181e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4318948798718972 y2[1] (numeric) = -0.4318948798717306 absolute error = 1.66644475996236e-13 relative error = 3.858449909053421e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.695999999999814 y1[1] (analytic) = 0.9023553944872679 y1[1] (numeric) = 0.902355394487347 absolute error = 7.915890165577366e-14 relative error = 8.772475029171068e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4309927401241547 y2[1] (numeric) = -0.4309927401239879 absolute error = 1.668110094499298e-13 relative error = 3.870390239099551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.696999999999814 y1[1] (analytic) = 0.9027859359779002 y1[1] (numeric) = 0.9027859359779793 absolute error = 7.904787935331115e-14 relative error = 8.755993663956036e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.430090169383708 y2[1] (numeric) = -0.430090169383541 absolute error = 1.669775429036235e-13 relative error = 3.882384550730183e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.697999999999813 y1[1] (analytic) = 0.9032155746826718 y1[1] (numeric) = 0.9032155746827508 absolute error = 7.904787935331115e-14 relative error = 8.751828640807391e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4291871685531277 y2[1] (numeric) = -0.4291871685529606 absolute error = 1.671440763573173e-13 relative error = 3.894433212455817e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.698999999999813 y1[1] (analytic) = 0.903644310171944 y1[1] (numeric) = 0.9036443101720228 absolute error = 7.882583474838611e-14 relative error = 8.723104197202023e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4282837385354147 y2[1] (numeric) = -0.4282837385352474 absolute error = 1.673106098110111e-13 relative error = 3.90653659611632e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.699999999999813 y1[1] (analytic) = 0.9040721420169813 y1[1] (numeric) = 0.90407214201706 absolute error = 7.87148124459236e-14 relative error = 8.706695935825561e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4273798802339988 y2[1] (numeric) = -0.4273798802338313 absolute error = 1.675326544159361e-13 relative error = 3.91999394833956e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.700999999999813 y1[1] (analytic) = 0.904499069789952 y1[1] (numeric) = 0.9044990697900305 absolute error = 7.849276784099857e-14 relative error = 8.678037431174651e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4264755945527383 y2[1] (numeric) = -0.4264755945525706 absolute error = 1.676991878696299e-13 relative error = 3.932210658982787e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.701999999999813 y1[1] (analytic) = 0.9049250930639282 y1[1] (numeric) = 0.9049250930640066 absolute error = 7.838174553853605e-14 relative error = 8.661683286198672e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4255708823959188 y2[1] (numeric) = -0.4255708823957509 absolute error = 1.678657213233237e-13 relative error = 3.94448324044769e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.702999999999813 y1[1] (analytic) = 0.9053502114128867 y1[1] (numeric) = 0.905350211412965 absolute error = 7.827072323607354e-14 relative error = 8.645353173765154e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4246657446682523 y2[1] (numeric) = -0.4246657446680843 absolute error = 1.680322547770174e-13 relative error = 3.956812078362567e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.703999999999813 y1[1] (analytic) = 0.9057744244117093 y1[1] (numeric) = 0.9057744244117875 absolute error = 7.815970093361102e-14 relative error = 8.629047015141204e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4237601822748766 y2[1] (numeric) = -0.4237601822747084 absolute error = 1.682542993819425e-13 relative error = 3.97050752807168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.704999999999813 y1[1] (analytic) = 0.906197731636183 y1[1] (numeric) = 0.9061977316362611 absolute error = 7.80486786311485e-14 relative error = 8.612764731845876e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4228541961213539 y2[1] (numeric) = -0.4228541961211855 absolute error = 1.684208328356362e-13 relative error = 3.982952856575214e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.705999999999813 y1[1] (analytic) = 0.9066201326630006 y1[1] (numeric) = 0.9066201326630785 absolute error = 7.793765632868599e-14 relative error = 8.596506245648989e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4219477871136703 y2[1] (numeric) = -0.4219477871135017 absolute error = 1.6858736628933e-13 relative error = 3.995455633090299e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.706999999999812 y1[1] (analytic) = 0.907041627069761 y1[1] (numeric) = 0.9070416270698388 absolute error = 7.782663402622347e-14 relative error = 8.580271478569945e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4210409561582348 y2[1] (numeric) = -0.421040956158066 absolute error = 1.687538997430238e-13 relative error = 4.00801625767739e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.707999999999812 y1[1] (analytic) = 0.90746221443497 y1[1] (numeric) = 0.9074622144350476 absolute error = 7.760458942129844e-14 relative error = 8.551825980943881e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4201337041618782 y2[1] (numeric) = -0.4201337041617093 absolute error = 1.689204331967176e-13 relative error = 4.020635134086558e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.708999999999812 y1[1] (analytic) = 0.9078818943380401 y1[1] (numeric) = 0.9078818943381176 absolute error = 7.749356711883593e-14 relative error = 8.535644074644584e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4192260320318524 y2[1] (numeric) = -0.4192260320316833 absolute error = 1.690869666504113e-13 relative error = 4.033312669800149e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.709999999999812 y1[1] (analytic) = 0.9083006663592916 y1[1] (numeric) = 0.9083006663593689 absolute error = 7.72715225139109e-14 relative error = 8.507262559173882e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4183179406758296 y2[1] (numeric) = -0.4183179406756603 absolute error = 1.693090112553364e-13 relative error = 4.047376284693951e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.710999999999812 y1[1] (analytic) = 0.9087185300799524 y1[1] (numeric) = 0.9087185300800296 absolute error = 7.716050021144838e-14 relative error = 8.491133134993903e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4174094310019009 y2[1] (numeric) = -0.4174094310017314 absolute error = 1.694755447090301e-13 relative error = 4.060175264900958e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.711999999999812 y1[1] (analytic) = 0.9091354850821588 y1[1] (numeric) = 0.9091354850822359 absolute error = 7.704947790898586e-14 relative error = 8.475027008985672e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4165005039185761 y2[1] (numeric) = -0.4165005039184064 absolute error = 1.696975893139552e-13 relative error = 4.074366962761953e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.712999999999812 y1[1] (analytic) = 0.9095515309489559 y1[1] (numeric) = 0.9095515309490328 absolute error = 7.693845560652335e-14 relative error = 8.45894410471188e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4155911603347819 y2[1] (numeric) = -0.4155911603346121 absolute error = 1.698086116164177e-13 relative error = 4.085953403812231e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.713999999999812 y1[1] (analytic) = 0.9099666672642979 y1[1] (numeric) = 0.9099666672643747 absolute error = 7.682743330406083e-14 relative error = 8.44288434597643e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4146814011598622 y2[1] (numeric) = -0.4146814011596922 absolute error = 1.700306562213427e-13 relative error = 4.100272058157604e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.714999999999812 y1[1] (analytic) = 0.9103808936130484 y1[1] (numeric) = 0.9103808936131251 absolute error = 7.671641100159832e-14 relative error = 8.426847656823314e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4137712273035758 y2[1] (numeric) = -0.4137712273034056 absolute error = 1.701971896750365e-13 relative error = 4.113316210606548e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.715999999999811 y1[1] (analytic) = 0.9107942095809812 y1[1] (numeric) = 0.9107942095810578 absolute error = 7.66053886991358e-14 relative error = 8.410833961535479e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4128606396760965 y2[1] (numeric) = -0.4128606396759262 absolute error = 1.703637231287303e-13 relative error = 4.126422011611146e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.716999999999811 y1[1] (analytic) = 0.9112066147547804 y1[1] (numeric) = 0.9112066147548569 absolute error = 7.649436639667329e-14 relative error = 8.394843184633717e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4119496391880121 y2[1] (numeric) = -0.4119496391878415 absolute error = 1.705857677336553e-13 relative error = 4.140937423076627e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.717999999999811 y1[1] (analytic) = 0.9116181087220406 y1[1] (numeric) = 0.911618108722117 absolute error = 7.638334409421077e-14 relative error = 8.378875250875544e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4110382267503227 y2[1] (numeric) = -0.4110382267501519 absolute error = 1.707523011873491e-13 relative error = 4.154170830711307e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.718999999999811 y1[1] (analytic) = 0.9120286910712682 y1[1] (numeric) = 0.9120286910713444 absolute error = 7.627232179174825e-14 relative error = 8.362930085254099e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4101264032744409 y2[1] (numeric) = -0.4101264032742699 absolute error = 1.709743457922741e-13 relative error = 4.168820744707446e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y1[1] (analytic) = 0.9124383613918806 y1[1] (numeric) = 0.9124383613919568 absolute error = 7.616129948928574e-14 relative error = 8.347007612997042e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4092141696721899 y2[1] (numeric) = -0.4092141696720188 absolute error = 1.711408792459679e-13 relative error = 4.182183607744181e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.720999999999811 y1[1] (analytic) = 0.9128471192742077 y1[1] (numeric) = 0.9128471192742837 absolute error = 7.605027718682322e-14 relative error = 8.331107759565454e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4083015268558034 y2[1] (numeric) = -0.4083015268556321 absolute error = 1.713074126996617e-13 relative error = 4.195610386736588e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.721999999999811 y1[1] (analytic) = 0.9132549643094916 y1[1] (numeric) = 0.9132549643095675 absolute error = 7.593925488436071e-14 relative error = 8.315230450652745e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4073884757379241 y2[1] (numeric) = -0.4073884757377526 absolute error = 1.715294573045867e-13 relative error = 4.210464152032931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.722999999999811 y1[1] (analytic) = 0.9136618960898873 y1[1] (numeric) = 0.9136618960899631 absolute error = 7.571721027943568e-14 relative error = 8.287224256968084e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.406475017231603 y2[1] (numeric) = -0.4064750172314313 absolute error = 1.716959907582805e-13 relative error = 4.224023211258045e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.723999999999811 y1[1] (analytic) = 0.9140679142084631 y1[1] (numeric) = 0.9140679142085387 absolute error = 7.560618797697316e-14 relative error = 8.271397212585053e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4055611522502984 y2[1] (numeric) = -0.4055611522501266 absolute error = 1.718625242119742e-13 relative error = 4.237647596629437e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72499999999981 y1[1] (analytic) = 0.9144730182592008 y1[1] (numeric) = 0.9144730182592763 absolute error = 7.549516567451064e-14 relative error = 8.255592474256258e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4046468817078755 y2[1] (numeric) = -0.4046468817077035 absolute error = 1.72029057665668e-13 relative error = 4.251337782206364e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72599999999981 y1[1] (analytic) = 0.9148772078369964 y1[1] (numeric) = 0.9148772078370718 absolute error = 7.538414337204813e-14 relative error = 8.239809968626883e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4037322065186046 y2[1] (numeric) = -0.4037322065184323 absolute error = 1.72251102270593e-13 relative error = 4.266469196399259e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72699999999981 y1[1] (analytic) = 0.9152804825376605 y1[1] (numeric) = 0.9152804825377358 absolute error = 7.527312106958561e-14 relative error = 8.224049622568936e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4028171275971608 y2[1] (numeric) = -0.4028171275969883 absolute error = 1.724176357242868e-13 relative error = 4.280295546338186e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72799999999981 y1[1] (analytic) = 0.9156828419579184 y1[1] (numeric) = 0.9156828419579934 absolute error = 7.505107646466058e-14 relative error = 8.196186826454663e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4019016458586229 y2[1] (numeric) = -0.4019016458584503 absolute error = 1.725841691779806e-13 relative error = 4.294189161860028e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72899999999981 y1[1] (analytic) = 0.9160842856954104 y1[1] (numeric) = 0.9160842856954855 absolute error = 7.505107646466058e-14 relative error = 8.192595117783121e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4009857622184727 y2[1] (numeric) = -0.4009857622183 absolute error = 1.727507026316744e-13 relative error = 4.30815053571785e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y1[1] (analytic) = 0.9164848133486933 y1[1] (numeric) = 0.9164848133487682 absolute error = 7.494005416219807e-14 relative error = 8.176900813923882e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.4000694775925937 y2[1] (numeric) = -0.4000694775924208 absolute error = 1.729172360853681e-13 relative error = 4.322180165452574e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73099999999981 y1[1] (analytic) = 0.9168844245172391 y1[1] (numeric) = 0.9168844245173139 absolute error = 7.482903185973555e-14 relative error = 8.161228379371236e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3991527928972705 y2[1] (numeric) = -0.3991527928970974 absolute error = 1.730837695390619e-13 relative error = 4.336278553451292e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73199999999981 y1[1] (analytic) = 0.9172831188014368 y1[1] (numeric) = 0.9172831188015115 absolute error = 7.471800955727304e-14 relative error = 8.145577742115535e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3982357090491876 y2[1] (numeric) = -0.3982357090490143 absolute error = 1.733058141439869e-13 relative error = 4.351840134019254e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.73299999999981 y1[1] (analytic) = 0.9176808958025922 y1[1] (numeric) = 0.9176808958026667 absolute error = 7.4495964952348e-14 relative error = 8.117850692227255e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3973182269654288 y2[1] (numeric) = -0.3973182269652554 absolute error = 1.734723475976807e-13 relative error = 4.366080784226765e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.733999999999809 y1[1] (analytic) = 0.9180777551229282 y1[1] (numeric) = 0.9180777551230025 absolute error = 7.427392034742297e-14 relative error = 8.090155755650336e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3964003475634762 y2[1] (numeric) = -0.3964003475633026 absolute error = 1.735833699001432e-13 relative error = 4.37899136484352e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.734999999999809 y1[1] (analytic) = 0.9184736963655856 y1[1] (numeric) = 0.9184736963656598 absolute error = 7.416289804496046e-14 relative error = 8.074580506597431e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3954820717612091 y2[1] (numeric) = -0.3954820717610353 absolute error = 1.738054145050683e-13 relative error = 4.39477354134049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.735999999999809 y1[1] (analytic) = 0.9188687191346232 y1[1] (numeric) = 0.9188687191346973 absolute error = 7.405187574249794e-14 relative error = 8.059026735858294e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3945634004769031 y2[1] (numeric) = -0.3945634004767292 absolute error = 1.73971947958762e-13 relative error = 4.40922669838319e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.736999999999809 y1[1] (analytic) = 0.9192628230350182 y1[1] (numeric) = 0.9192628230350921 absolute error = 7.394085344003543e-14 relative error = 8.043494372579315e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3936443346292296 y2[1] (numeric) = -0.3936443346290555 absolute error = 1.741384814124558e-13 relative error = 4.423751749824506e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.737999999999809 y1[1] (analytic) = 0.9196560076726668 y1[1] (numeric) = 0.9196560076727406 absolute error = 7.382983113757291e-14 relative error = 8.027983346122083e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3927248751372542 y2[1] (numeric) = -0.3927248751370799 absolute error = 1.743050148661496e-13 relative error = 4.438349233804743e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.738999999999809 y1[1] (analytic) = 0.9200482726543843 y1[1] (numeric) = 0.920048272654458 absolute error = 7.371880883511039e-14 relative error = 8.012493586062394e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3918050229204365 y2[1] (numeric) = -0.391805022920262 absolute error = 1.744715483198434e-13 relative error = 4.453019693810132e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y1[1] (analytic) = 0.9204396175879058 y1[1] (numeric) = 0.9204396175879794 absolute error = 7.360778653264788e-14 relative error = 7.997025022189251e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3908847788986284 y2[1] (numeric) = -0.3908847788984537 absolute error = 1.746380817735371e-13 relative error = 4.467763678739396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.740999999999809 y1[1] (analytic) = 0.9208300420818866 y1[1] (numeric) = 0.92083004208196 absolute error = 7.338574192772285e-14 relative error = 7.969520820781049e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.389964143992074 y2[1] (numeric) = -0.3899641439918992 absolute error = 1.748046152272309e-13 relative error = 4.482581742971317e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.741999999999809 y1[1] (analytic) = 0.9212195457459019 y1[1] (numeric) = 0.9212195457459752 absolute error = 7.327471962526033e-14 relative error = 7.954099537253147e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3890431191214082 y2[1] (numeric) = -0.3890431191212332 absolute error = 1.749711486809247e-13 relative error = 4.497474446433318e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.742999999999808 y1[1] (analytic) = 0.9216081281904482 y1[1] (numeric) = 0.9216081281905214 absolute error = 7.316369732279782e-14 relative error = 7.938699224197674e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3881217052076556 y2[1] (numeric) = -0.3881217052074805 absolute error = 1.751376821346184e-13 relative error = 4.51244235467107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.743999999999808 y1[1] (analytic) = 0.9219957890269432 y1[1] (numeric) = 0.9219957890270163 absolute error = 7.30526750203353e-14 relative error = 7.923319812277419e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3871999031722301 y2[1] (numeric) = -0.3871999031720548 absolute error = 1.753042155883122e-13 relative error = 4.527486038919159e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.744999999999808 y1[1] (analytic) = 0.922382527867726 y1[1] (numeric) = 0.922382527867799 absolute error = 7.294165271787278e-14 relative error = 7.907961232363344e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3862777139369338 y2[1] (numeric) = -0.3862777139367583 absolute error = 1.755262601932372e-13 relative error = 4.544043154969452e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.745999999999808 y1[1] (analytic) = 0.9227683443260578 y1[1] (numeric) = 0.9227683443261306 absolute error = 7.283063041541027e-14 relative error = 7.892623415533612e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3853551384239557 y2[1] (numeric) = -0.3853551384237801 absolute error = 1.75692793646931e-13 relative error = 4.559243568555696e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.746999999999808 y1[1] (analytic) = 0.9231532380161221 y1[1] (numeric) = 0.9231532380161949 absolute error = 7.271960811294775e-14 relative error = 7.877306293072631e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3844321775558713 y2[1] (numeric) = -0.3844321775556955 absolute error = 1.758593271006248e-13 relative error = 4.574521524673005e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.747999999999808 y1[1] (analytic) = 0.9235372085530253 y1[1] (numeric) = 0.923537208553098 absolute error = 7.260858581048524e-14 relative error = 7.862009796470087e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3835088322556414 y2[1] (numeric) = -0.3835088322554654 absolute error = 1.760258605543186e-13 relative error = 4.58987761817653e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.748999999999808 y1[1] (analytic) = 0.923920255552797 y1[1] (numeric) = 0.9239202555528695 absolute error = 7.249756350802272e-14 relative error = 7.846733857420001e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3825851034466112 y2[1] (numeric) = -0.382585103446435 absolute error = 1.762479051592436e-13 relative error = 4.606763399083534e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y1[1] (analytic) = 0.9243023786323902 y1[1] (numeric) = 0.9243023786324625 absolute error = 7.227551890309769e-14 relative error = 7.819466937869129e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3816609920525094 y2[1] (numeric) = -0.3816609920523331 absolute error = 1.763589274617061e-13 relative error = 4.620826627140413e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.750999999999808 y1[1] (analytic) = 0.9246835774096817 y1[1] (numeric) = 0.9246835774097538 absolute error = 7.216449660063518e-14 relative error = 7.804236861520755e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3807364989974474 y2[1] (numeric) = -0.3807364989972709 absolute error = 1.765809720666311e-13 relative error = 4.637878756872611e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.751999999999807 y1[1] (analytic) = 0.9250638515034728 y1[1] (numeric) = 0.9250638515035449 absolute error = 7.205347429817266e-14 relative error = 7.789027122945811e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3798116252059181 y2[1] (numeric) = -0.3798116252057414 absolute error = 1.766919943690937e-13 relative error = 4.652095476890646e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.752999999999807 y1[1] (analytic) = 0.9254432005334895 y1[1] (numeric) = 0.9254432005335614 absolute error = 7.194245199571014e-14 relative error = 7.773837654675893e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3788863716027953 y2[1] (numeric) = -0.3788863716026184 absolute error = 1.768585278227874e-13 relative error = 4.667851394987538e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.753999999999807 y1[1] (analytic) = 0.9258216241203828 y1[1] (numeric) = 0.9258216241204547 absolute error = 7.183142969324763e-14 relative error = 7.758668389442104e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3779607391133324 y2[1] (numeric) = -0.3779607391131554 absolute error = 1.770250612764812e-13 relative error = 4.683689149612967e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.754999999999807 y1[1] (analytic) = 0.9261991218857292 y1[1] (numeric) = 0.9261991218858009 absolute error = 7.172040739078511e-14 relative error = 7.743519260174131e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3770347286631619 y2[1] (numeric) = -0.3770347286629847 absolute error = 1.77191594730175e-13 relative error = 4.699609379709839e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.755999999999807 y1[1] (analytic) = 0.9265756934520308 y1[1] (numeric) = 0.9265756934521024 absolute error = 7.16093850883226e-14 relative error = 7.728390199999331e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3761083411782942 y2[1] (numeric) = -0.3761083411781168 absolute error = 1.773581281838688e-13 relative error = 4.715612730848533e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.756999999999807 y1[1] (analytic) = 0.9269513384427163 y1[1] (numeric) = 0.9269513384427878 absolute error = 7.149836278586008e-14 relative error = 7.713281142241809e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3751815775851166 y2[1] (numeric) = -0.3751815775849391 absolute error = 1.775246616375625e-13 relative error = 4.731699855313069e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.757999999999807 y1[1] (analytic) = 0.9273260564821405 y1[1] (numeric) = 0.9273260564822119 absolute error = 7.138734048339757e-14 relative error = 7.698192020421506e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3742544388103927 y2[1] (numeric) = -0.374254438810215 absolute error = 1.776911950912563e-13 relative error = 4.747871412188631e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.758999999999807 y1[1] (analytic) = 0.9276998471955855 y1[1] (numeric) = 0.9276998471956568 absolute error = 7.127631818093505e-14 relative error = 7.683122768253294e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3733269257812612 y2[1] (numeric) = -0.3733269257810833 absolute error = 1.778577285449501e-13 relative error = 4.764128067450459e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y1[1] (analytic) = 0.9280727102092606 y1[1] (numeric) = 0.9280727102093318 absolute error = 7.116529587847253e-14 relative error = 7.668073319646073e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.372399039425235 y2[1] (numeric) = -0.372399039425057 absolute error = 1.780242619986439e-13 relative error = 4.780470494054135e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.760999999999806 y1[1] (analytic) = 0.9284446451503029 y1[1] (numeric) = 0.9284446451503739 absolute error = 7.105427357601002e-14 relative error = 7.653043608701871e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3714707806702004 y2[1] (numeric) = -0.3714707806700222 absolute error = 1.781907954523376e-13 relative error = 4.796899372027303e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.761999999999806 y1[1] (analytic) = 0.9288156516467774 y1[1] (numeric) = 0.9288156516468483 absolute error = 7.09432512735475e-14 relative error = 7.638033569714948e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3705421504444161 y2[1] (numeric) = -0.3705421504442377 absolute error = 1.784128400572627e-13 relative error = 4.814913494815101e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.762999999999806 y1[1] (analytic) = 0.9291857293276776 y1[1] (numeric) = 0.9291857293277485 absolute error = 7.083222897108499e-14 relative error = 7.623043137170909e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3696131496765123 y2[1] (numeric) = -0.3696131496763337 absolute error = 1.785793735109564e-13 relative error = 4.831521109767069e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.763999999999806 y1[1] (analytic) = 0.9295548778229259 y1[1] (numeric) = 0.9295548778229966 absolute error = 7.072120666862247e-14 relative error = 7.608072245745819e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3686837792954896 y2[1] (numeric) = -0.3686837792953108 absolute error = 1.788014181158815e-13 relative error = 4.849722937568599e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.764999999999806 y1[1] (analytic) = 0.9299230967633739 y1[1] (numeric) = 0.9299230967634444 absolute error = 7.049916206369744e-14 relative error = 7.581181961075272e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3677540402307182 y2[1] (numeric) = -0.3677540402305393 absolute error = 1.78912440418344e-13 relative error = 4.865002715023865e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.765999999999806 y1[1] (analytic) = 0.9302903857808026 y1[1] (numeric) = 0.930290385780873 absolute error = 7.038813976123492e-14 relative error = 7.566254670272382e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3668239334119374 y2[1] (numeric) = -0.3668239334117582 absolute error = 1.79134485023269e-13 relative error = 4.883391423157329e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.766999999999806 y1[1] (analytic) = 0.930656744507923 y1[1] (numeric) = 0.9306567445079933 absolute error = 7.027711745877241e-14 relative error = 7.551346710105331e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3658934597692536 y2[1] (numeric) = -0.3658934597690743 absolute error = 1.793010184769628e-13 relative error = 4.900361394544653e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.767999999999806 y1[1] (analytic) = 0.9310221725783766 y1[1] (numeric) = 0.9310221725784467 absolute error = 7.005507285384738e-14 relative error = 7.524533240689271e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3649626202331406 y2[1] (numeric) = -0.3649626202329612 absolute error = 1.794675519306566e-13 relative error = 4.91742282582286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.768999999999806 y1[1] (analytic) = 0.9313866696267351 y1[1] (numeric) = 0.9313866696268051 absolute error = 6.994405055138486e-14 relative error = 7.509668415097225e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3640314157344378 y2[1] (numeric) = -0.3640314157342582 absolute error = 1.795785742331191e-13 relative error = 4.933051557399713e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y1[1] (analytic) = 0.9317502352885015 y1[1] (numeric) = 0.9317502352885714 absolute error = 6.983302824892235e-14 relative error = 7.494822711506981e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3630998472043496 y2[1] (numeric) = -0.3630998472041698 absolute error = 1.798006188380441e-13 relative error = 4.951823037723666e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.770999999999805 y1[1] (analytic) = 0.9321128692001104 y1[1] (numeric) = 0.9321128692001801 absolute error = 6.972200594645983e-14 relative error = 7.479996065958358e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3621679155744444 y2[1] (numeric) = -0.3621679155742644 absolute error = 1.799671522917379e-13 relative error = 4.96916332321396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.771999999999805 y1[1] (analytic) = 0.9324745709989277 y1[1] (numeric) = 0.9324745709989973 absolute error = 6.961098364399732e-14 relative error = 7.465188414674459e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3612356217766538 y2[1] (numeric) = -0.3612356217764737 absolute error = 1.801336857454316e-13 relative error = 4.986598078547343e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.772999999999805 y1[1] (analytic) = 0.9328353403232518 y1[1] (numeric) = 0.9328353403233213 absolute error = 6.94999613415348e-14 relative error = 7.450399694060824e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3603029667432716 y2[1] (numeric) = -0.3603029667430913 absolute error = 1.803002191991254e-13 relative error = 5.004128076680413e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.773999999999805 y1[1] (analytic) = 0.9331951768123132 y1[1] (numeric) = 0.9331951768123826 absolute error = 6.938893903907228e-14 relative error = 7.435629840704585e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3593699514069526 y2[1] (numeric) = -0.3593699514067721 absolute error = 1.804667526528192e-13 relative error = 5.021754098980235e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.774999999999805 y1[1] (analytic) = 0.9335540801062756 y1[1] (numeric) = 0.9335540801063449 absolute error = 6.927791673660977e-14 relative error = 7.420878791373628e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3584365767007122 y2[1] (numeric) = -0.3584365767005315 absolute error = 1.806887972577442e-13 relative error = 5.041025637531852e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.775999999999805 y1[1] (analytic) = 0.9339120498462357 y1[1] (numeric) = 0.9339120498463048 absolute error = 6.916689443414725e-14 relative error = 7.406146483015746e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3575028435579249 y2[1] (numeric) = -0.3575028435577441 absolute error = 1.80855330711438e-13 relative error = 5.058850131415378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.776999999999805 y1[1] (analytic) = 0.9342690856742237 y1[1] (numeric) = 0.9342690856742928 absolute error = 6.905587213168474e-14 relative error = 7.391432852757826e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3565687529123239 y2[1] (numeric) = -0.3565687529121429 absolute error = 1.810218641651318e-13 relative error = 5.076773067931809e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.777999999999805 y1[1] (analytic) = 0.934625187233204 y1[1] (numeric) = 0.9346251872332729 absolute error = 6.894484982922222e-14 relative error = 7.376737837905001e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3556343056979997 y2[1] (numeric) = -0.3556343056978185 absolute error = 1.811883976188255e-13 relative error = 5.094795263443693e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.778999999999805 y1[1] (analytic) = 0.9349803541670749 y1[1] (numeric) = 0.9349803541671436 absolute error = 6.872280522429719e-14 relative error = 7.350187083397998e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3546995028493994 y2[1] (numeric) = -0.3546995028492181 absolute error = 1.813549310725193e-13 relative error = 5.112917543318919e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.779999999999804 y1[1] (analytic) = 0.9353345861206696 y1[1] (numeric) = 0.9353345861207382 absolute error = 6.861178292183467e-14 relative error = 7.335533609037624e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3537643453013259 y2[1] (numeric) = -0.3537643453011444 absolute error = 1.815214645262131e-13 relative error = 5.131140742055239e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.780999999999804 y1[1] (analytic) = 0.9356878827397561 y1[1] (numeric) = 0.9356878827398245 absolute error = 6.838973831690964e-14 relative error = 7.30903323410152e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3528288339889365 y2[1] (numeric) = -0.3528288339887548 absolute error = 1.816879979799069e-13 relative error = 5.149465703406881e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.781999999999804 y1[1] (analytic) = 0.9360402436710378 y1[1] (numeric) = 0.9360402436711061 absolute error = 6.827871601444713e-14 relative error = 7.29442099056192e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3518929698477425 y2[1] (numeric) = -0.3518929698475607 absolute error = 1.817990202823694e-13 relative error = 5.16631577951189e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.782999999999804 y1[1] (analytic) = 0.9363916685621538 y1[1] (numeric) = 0.936391668562222 absolute error = 6.816769371198461e-14 relative error = 7.279827021171315e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.350956753813608 y2[1] (numeric) = -0.350956753813426 absolute error = 1.820210648872944e-13 relative error = 5.18642433602988e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.783999999999804 y1[1] (analytic) = 0.9367421570616793 y1[1] (numeric) = 0.9367421570617473 absolute error = 6.80566714095221e-14 relative error = 7.265251264339215e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3500201868227489 y2[1] (numeric) = -0.3500201868225667 absolute error = 1.821875983409882e-13 relative error = 5.205059742261335e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.784999999999804 y1[1] (analytic) = 0.9370917088191258 y1[1] (numeric) = 0.9370917088191937 absolute error = 6.783462680459706e-14 relative error = 7.23884611998955e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3490832698117322 y2[1] (numeric) = -0.3490832698115499 absolute error = 1.82354131794682e-13 relative error = 5.223800381296683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.785999999999804 y1[1] (analytic) = 0.9374403234849417 y1[1] (numeric) = 0.9374403234850093 absolute error = 6.761258219967203e-14 relative error = 7.21246787724276e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3481460037174748 y2[1] (numeric) = -0.3481460037172923 absolute error = 1.825206652483757e-13 relative error = 5.242647145147004e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.786999999999804 y1[1] (analytic) = 0.937788000710512 y1[1] (numeric) = 0.9377880007105796 absolute error = 6.750155989720952e-14 relative error = 7.197955171751737e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3472083894772426 y2[1] (numeric) = -0.34720838947706 absolute error = 1.826871987020695e-13 relative error = 5.261600935885322e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.787999999999804 y1[1] (analytic) = 0.9381347401481599 y1[1] (numeric) = 0.9381347401482273 absolute error = 6.7390537594747e-14 relative error = 7.183460404003799e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3462704280286499 y2[1] (numeric) = -0.3462704280284671 absolute error = 1.828537321557633e-13 relative error = 5.280662665788896e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.788999999999803 y1[1] (analytic) = 0.9384805414511458 y1[1] (numeric) = 0.9384805414512131 absolute error = 6.727951529228449e-14 relative error = 7.168983513313135e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3453321203096581 y2[1] (numeric) = -0.3453321203094751 absolute error = 1.830202656094571e-13 relative error = 5.299833257483938e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.789999999999803 y1[1] (analytic) = 0.9388254042736685 y1[1] (numeric) = 0.9388254042737356 absolute error = 6.716849298982197e-14 relative error = 7.154524439162097e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3443934672585747 y2[1] (numeric) = -0.3443934672583915 absolute error = 1.831867990631508e-13 relative error = 5.31911364409279e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.790999999999803 y1[1] (analytic) = 0.9391693282708651 y1[1] (numeric) = 0.9391693282709321 absolute error = 6.705747068735946e-14 relative error = 7.140083121200426e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3434544698140528 y2[1] (numeric) = -0.3434544698138694 absolute error = 1.833533325168446e-13 relative error = 5.338504769383628e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.791999999999803 y1[1] (analytic) = 0.9395123130988117 y1[1] (numeric) = 0.9395123130988786 absolute error = 6.694644838489694e-14 relative error = 7.125659499244472e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3425151289150896 y2[1] (numeric) = -0.3425151289149061 absolute error = 1.835198659705384e-13 relative error = 5.358007587922734e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.792999999999803 y1[1] (analytic) = 0.9398543584145235 y1[1] (numeric) = 0.9398543584145903 absolute error = 6.683542608243442e-14 relative error = 7.111253513276427e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3415754455010261 y2[1] (numeric) = -0.3415754455008424 absolute error = 1.836863994242321e-13 relative error = 5.377623065229388e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.793999999999803 y1[1] (analytic) = 0.9401954638759552 y1[1] (numeric) = 0.9401954638760218 absolute error = 6.661338147750939e-14 relative error = 7.085056675650802e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3406354205115456 y2[1] (numeric) = -0.3406354205113617 absolute error = 1.838529328779259e-13 relative error = 5.397352177933427e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.794999999999803 y1[1] (analytic) = 0.9405356291420014 y1[1] (numeric) = 0.9405356291420679 absolute error = 6.650235917504688e-14 relative error = 7.070690053040659e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3396950548866728 y2[1] (numeric) = -0.3396950548864888 absolute error = 1.840194663316197e-13 relative error = 5.417195913935551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.795999999999803 y1[1] (analytic) = 0.9408748538724968 y1[1] (numeric) = 0.9408748538725632 absolute error = 6.639133687258436e-14 relative error = 7.056340872468617e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3387543495667736 y2[1] (numeric) = -0.3387543495665894 absolute error = 1.841859997853135e-13 relative error = 5.437155272570386e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.796999999999803 y1[1] (analytic) = 0.9412131377282167 y1[1] (numeric) = 0.941213137728283 absolute error = 6.628031457012185e-14 relative error = 7.042009074597177e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.337813305492553 y2[1] (numeric) = -0.3378133054923687 absolute error = 1.843525332390072e-13 relative error = 5.457231264772407e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.797999999999802 y1[1] (analytic) = 0.9415504803708774 y1[1] (numeric) = 0.9415504803709435 absolute error = 6.605826996519681e-14 relative error = 7.015903166357731e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3368719236050551 y2[1] (numeric) = -0.3368719236048706 absolute error = 1.84519066692701e-13 relative error = 5.477424913244748e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.798999999999802 y1[1] (analytic) = 0.9418868814631361 y1[1] (numeric) = 0.9418868814632021 absolute error = 6.59472476627343e-14 relative error = 7.001610167910101e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3359302048456616 y2[1] (numeric) = -0.3359302048454769 absolute error = 1.846856001463948e-13 relative error = 5.497737252630974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.799999999999802 y1[1] (analytic) = 0.9422223406685919 y1[1] (numeric) = 0.9422223406686577 absolute error = 6.583622536027178e-14 relative error = 6.987334360333149e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3349881501560913 y2[1] (numeric) = -0.3349881501559064 absolute error = 1.848521336000886e-13 relative error = 5.518169329689864e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.800999999999802 y1[1] (analytic) = 0.9425568576517855 y1[1] (numeric) = 0.9425568576518512 absolute error = 6.561418075534675e-14 relative error = 6.961296840894345e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3340457604783987 y2[1] (numeric) = -0.3340457604782137 absolute error = 1.850186670537823e-13 relative error = 5.538722203473278e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.801999999999802 y1[1] (analytic) = 0.9428904320782 y1[1] (numeric) = 0.9428904320782655 absolute error = 6.550315845288424e-14 relative error = 6.947059406309856e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3331030367549735 y2[1] (numeric) = -0.3331030367547884 absolute error = 1.851852005074761e-13 relative error = 5.559396945507166e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.802999999999802 y1[1] (analytic) = 0.943223063614261 y1[1] (numeric) = 0.9432230636143264 absolute error = 6.539213615042172e-14 relative error = 6.932838972347731e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3321599799285394 y2[1] (numeric) = -0.332159979928354 absolute error = 1.853517339611699e-13 relative error = 5.580194639975783e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.803999999999802 y1[1] (analytic) = 0.9435547519273371 y1[1] (numeric) = 0.9435547519274022 absolute error = 6.517009154549669e-14 relative error = 6.906869093963868e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3312165909421529 y2[1] (numeric) = -0.3312165909419674 absolute error = 1.855182674148637e-13 relative error = 5.601116383909178e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.804999999999802 y1[1] (analytic) = 0.9438854966857397 y1[1] (numeric) = 0.9438854966858048 absolute error = 6.505906924303417e-14 relative error = 6.892686609919926e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3302728707392031 y2[1] (numeric) = -0.3302728707390174 absolute error = 1.856848008685574e-13 relative error = 5.622163287374024e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.805999999999802 y1[1] (analytic) = 0.9442152975587245 y1[1] (numeric) = 0.9442152975587893 absolute error = 6.483702463810914e-14 relative error = 6.866762782359674e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3293288202634101 y2[1] (numeric) = -0.3293288202632242 absolute error = 1.858513343222512e-13 relative error = 5.643336473667869e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.806999999999801 y1[1] (analytic) = 0.9445441542164902 y1[1] (numeric) = 0.9445441542165549 absolute error = 6.472600233564663e-14 relative error = 6.852617958271899e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3283844404588243 y2[1] (numeric) = -0.3283844404586382 absolute error = 1.86017867775945e-13 relative error = 5.664637079516852e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.807999999999801 y1[1] (analytic) = 0.9448720663301805 y1[1] (numeric) = 0.944872066330245 absolute error = 6.450395773072159e-14 relative error = 6.826739833811642e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3274397322698254 y2[1] (numeric) = -0.3274397322696391 absolute error = 1.8623991238087e-13 relative error = 5.687761564238019e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.808999999999801 y1[1] (analytic) = 0.9451990335718833 y1[1] (numeric) = 0.9451990335719476 absolute error = 6.428191312579656e-14 relative error = 6.800886463338503e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3264946966411215 y2[1] (numeric) = -0.3264946966409351 absolute error = 1.864064458345638e-13 relative error = 5.709325381154942e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.809999999999801 y1[1] (analytic) = 0.9455250556146312 y1[1] (numeric) = 0.9455250556146954 absolute error = 6.417089082333405e-14 relative error = 6.786799613852672e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3255493345177481 y2[1] (numeric) = -0.3255493345175616 absolute error = 1.865729792882576e-13 relative error = 5.731020140607477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.810999999999801 y1[1] (analytic) = 0.9458501321324022 y1[1] (numeric) = 0.9458501321324663 absolute error = 6.405986852087153e-14 relative error = 6.772729245853115e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3246036468450674 y2[1] (numeric) = -0.3246036468448807 absolute error = 1.867395127419513e-13 relative error = 5.752847035359454e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.811999999999801 y1[1] (analytic) = 0.94617426280012 y1[1] (numeric) = 0.9461742628001839 absolute error = 6.394884621840902e-14 relative error = 6.758675302492165e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3236576345687669 y2[1] (numeric) = -0.32365763456858 absolute error = 1.869060461956451e-13 relative error = 5.774807272650123e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.812999999999801 y1[1] (analytic) = 0.9464974472936538 y1[1] (numeric) = 0.9464974472937175 absolute error = 6.372680161348399e-14 relative error = 6.732907922329826e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3227112986348588 y2[1] (numeric) = -0.3227112986346717 absolute error = 1.871280908005701e-13 relative error = 5.798622223397939e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.813999999999801 y1[1] (analytic) = 0.9468196852898192 y1[1] (numeric) = 0.9468196852898828 absolute error = 6.361577931102147e-14 relative error = 6.718890650393357e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3217646399896789 y2[1] (numeric) = -0.3217646399894917 absolute error = 1.872391131030327e-13 relative error = 5.819132677507343e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.814999999999801 y1[1] (analytic) = 0.9471409764663782 y1[1] (numeric) = 0.9471409764664417 absolute error = 6.350475700855895e-14 relative error = 6.704889619017899e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3208176595798859 y2[1] (numeric) = -0.3208176595796985 absolute error = 1.874056465567264e-13 relative error = 5.841500333932243e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8159999999998 y1[1] (analytic) = 0.9474613205020397 y1[1] (numeric) = 0.947461320502103 absolute error = 6.328271240363392e-14 relative error = 6.679186900221083e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.31987035835246 y2[1] (numeric) = -0.3198703583522725 absolute error = 1.875721800104202e-13 relative error = 5.864006311073607e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8169999999998 y1[1] (analytic) = 0.9477807170764596 y1[1] (numeric) = 0.9477807170765228 absolute error = 6.317169010117141e-14 relative error = 6.665222130286831e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3189227372547024 y2[1] (numeric) = -0.3189227372545147 absolute error = 1.87738713464114e-13 relative error = 5.886651891933924e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8179999999998 y1[1] (analytic) = 0.9480991658702415 y1[1] (numeric) = 0.9480991658703045 absolute error = 6.306066779870889e-14 relative error = 6.651273418306064e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3179747972342342 y2[1] (numeric) = -0.3179747972340463 absolute error = 1.87960758069039e-13 relative error = 5.911184147420931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8189999999998 y1[1] (analytic) = 0.9484166665649364 y1[1] (numeric) = 0.9484166665649993 absolute error = 6.294964549624638e-14 relative error = 6.637340708514039e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3170265392389952 y2[1] (numeric) = -0.3170265392388071 absolute error = 1.881272915227328e-13 relative error = 5.93411807018813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y1[1] (analytic) = 0.9487332188430438 y1[1] (numeric) = 0.9487332188431067 absolute error = 6.283862319378386e-14 relative error = 6.623423945291382e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3160779642172434 y2[1] (numeric) = -0.3160779642170551 absolute error = 1.883493361276578e-13 relative error = 5.95895182361411e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8209999999998 y1[1] (analytic) = 0.9490488223880116 y1[1] (numeric) = 0.9490488223880742 absolute error = 6.261657858885883e-14 relative error = 6.597824802237467e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3151290731175537 y2[1] (numeric) = -0.3151290731173652 absolute error = 1.885158695813516e-13 relative error = 5.982179546824257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8219999999998 y1[1] (analytic) = 0.9493634768842359 y1[1] (numeric) = 0.9493634768842985 absolute error = 6.250555628639631e-14 relative error = 6.583943643117225e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3141798668888172 y2[1] (numeric) = -0.3141798668886285 absolute error = 1.887379141862766e-13 relative error = 6.007320458031376e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8229999999998 y1[1] (analytic) = 0.9496771820170625 y1[1] (numeric) = 0.9496771820171249 absolute error = 6.23945339839338e-14 relative error = 6.570078250317778e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.31323034648024 y2[1] (numeric) = -0.313230346480051 absolute error = 1.889044476399704e-13 relative error = 6.030847577914593e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.8239999999998 y1[1] (analytic) = 0.9499899374727862 y1[1] (numeric) = 0.9499899374728484 absolute error = 6.228351168147128e-14 relative error = 6.556228568816339e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3122805128413423 y2[1] (numeric) = -0.3122805128411533 absolute error = 1.890709810936642e-13 relative error = 6.054523843750821e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.824999999999799 y1[1] (analytic) = 0.9503017429386516 y1[1] (numeric) = 0.9503017429387137 absolute error = 6.217248937900877e-14 relative error = 6.542394543732035e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3113303669219579 y2[1] (numeric) = -0.3113303669217687 absolute error = 1.891820033961267e-13 relative error = 6.076567643128416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.825999999999799 y1[1] (analytic) = 0.9506125981028533 y1[1] (numeric) = 0.9506125981029152 absolute error = 6.195044477408373e-14 relative error = 6.51689709327636e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3103799096722324 y2[1] (numeric) = -0.3103799096720431 absolute error = 1.893485368498204e-13 relative error = 6.100541012779352e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.826999999999799 y1[1] (analytic) = 0.950922502654536 y1[1] (numeric) = 0.9509225026545979 absolute error = 6.183942247162122e-14 relative error = 6.503098023129555e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3094291420426232 y2[1] (numeric) = -0.3094291420424337 absolute error = 1.895150703035142e-13 relative error = 6.124667801244425e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.827999999999799 y1[1] (analytic) = 0.9512314562837954 y1[1] (numeric) = 0.9512314562838571 absolute error = 6.17284001691587e-14 relative error = 6.489314431454455e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3084780649838977 y2[1] (numeric) = -0.3084780649837081 absolute error = 1.89681603757208e-13 relative error = 6.148949480965824e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.828999999999799 y1[1] (analytic) = 0.9515394586816778 y1[1] (numeric) = 0.9515394586817393 absolute error = 6.150635556423367e-14 relative error = 6.46387861302656e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.307526679447133 y2[1] (numeric) = -0.3075266794469431 absolute error = 1.898481372109018e-13 relative error = 6.173387543227404e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y1[1] (analytic) = 0.9518465095401807 y1[1] (numeric) = 0.9518465095402421 absolute error = 6.139533326177116e-14 relative error = 6.450129579340486e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3065749863837144 y2[1] (numeric) = -0.3065749863835244 absolute error = 1.900146706645955e-13 relative error = 6.197983498457046e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.830999999999799 y1[1] (analytic) = 0.9521526085522535 y1[1] (numeric) = 0.9521526085523146 absolute error = 6.117328865684613e-14 relative error = 6.4247357101568e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.305622986745335 y2[1] (numeric) = -0.3056229867451448 absolute error = 1.902367152695206e-13 relative error = 6.224555204286325e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.831999999999799 y1[1] (analytic) = 0.952457755411797 y1[1] (numeric) = 0.9524577554118581 absolute error = 6.106226635438361e-14 relative error = 6.411020962077549e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3046706814839943 y2[1] (numeric) = -0.3046706814838039 absolute error = 1.904032487232143e-13 relative error = 6.24947723213128e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.832999999999799 y1[1] (analytic) = 0.9527619498136645 y1[1] (numeric) = 0.9527619498137254 absolute error = 6.095124405192109e-14 relative error = 6.39732139427289e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3037180715519975 y2[1] (numeric) = -0.3037180715518069 absolute error = 1.905697821769081e-13 relative error = 6.274561839639561e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.833999999999798 y1[1] (analytic) = 0.9530651914536615 y1[1] (numeric) = 0.9530651914537224 absolute error = 6.084022174945858e-14 relative error = 6.383636953172333e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3027651579019545 y2[1] (numeric) = -0.3027651579017637 absolute error = 1.907363156306019e-13 relative error = 6.299810617322378e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.834999999999798 y1[1] (analytic) = 0.9533674800285467 y1[1] (numeric) = 0.9533674800286073 absolute error = 6.061817714453355e-14 relative error = 6.358322306391074e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3018119414867788 y2[1] (numeric) = -0.3018119414865879 absolute error = 1.909028490842957e-13 relative error = 6.325225176441814e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.835999999999798 y1[1] (analytic) = 0.9536688152360311 y1[1] (numeric) = 0.9536688152360916 absolute error = 6.050715484207103e-14 relative error = 6.344671638140504e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.3008584232596868 y2[1] (numeric) = -0.3008584232594956 absolute error = 1.911248936892207e-13 relative error = 6.352652241491365e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.836999999999798 y1[1] (analytic) = 0.9539691967747798 y1[1] (numeric) = 0.9539691967748402 absolute error = 6.039613253960852e-14 relative error = 6.331035922731926e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2999046041741965 y2[1] (numeric) = -0.2999046041740052 absolute error = 1.912914271429145e-13 relative error = 6.378409150124444e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.837999999999798 y1[1] (analytic) = 0.9542686243444112 y1[1] (numeric) = 0.9542686243444715 absolute error = 6.0285110237146e-14 relative error = 6.317415107152063e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2989504851841271 y2[1] (numeric) = -0.2989504851839356 absolute error = 1.914579605966082e-13 relative error = 6.404336841222621e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.838999999999798 y1[1] (analytic) = 0.9545670976454979 y1[1] (numeric) = 0.9545670976455579 absolute error = 6.006306563222097e-14 relative error = 6.292178494353142e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2979960672435975 y2[1] (numeric) = -0.2979960672434058 absolute error = 1.916800052015333e-13 relative error = 6.432299827797529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y1[1] (analytic) = 0.9548646163795663 y1[1] (numeric) = 0.9548646163796263 absolute error = 5.995204332975845e-14 relative error = 6.278590943820987e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2970413513070254 y2[1] (numeric) = -0.2970413513068335 absolute error = 1.918465386552271e-13 relative error = 6.458580187946029e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.840999999999798 y1[1] (analytic) = 0.955161180249098 y1[1] (numeric) = 0.9551611802491579 absolute error = 5.984102102729594e-14 relative error = 6.265018120992931e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2960863383291267 y2[1] (numeric) = -0.2960863383289347 absolute error = 1.919575609576896e-13 relative error = 6.483161703472837e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.841999999999798 y1[1] (analytic) = 0.9554567889575291 y1[1] (numeric) = 0.9554567889575888 absolute error = 5.972999872483342e-14 relative error = 6.251459973402154e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2951310292649144 y2[1] (numeric) = -0.2951310292647222 absolute error = 1.921796055626146e-13 relative error = 6.511670631220246e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.842999999999797 y1[1] (analytic) = 0.9557514422092508 y1[1] (numeric) = 0.9557514422093103 absolute error = 5.950795411990839e-14 relative error = 6.226300216963713e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2941754250696974 y2[1] (numeric) = -0.2941754250695051 absolute error = 1.922906278650771e-13 relative error = 6.536597264014107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.843999999999797 y1[1] (analytic) = 0.9560451397096099 y1[1] (numeric) = 0.9560451397096693 absolute error = 5.939693181744587e-14 relative error = 6.212774831477848e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2932195266990799 y2[1] (numeric) = -0.2932195266988874 absolute error = 1.925126724700021e-13 relative error = 6.56547927203943e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.844999999999797 y1[1] (analytic) = 0.956337881164909 y1[1] (numeric) = 0.9563378811649682 absolute error = 5.917488721252084e-14 relative error = 6.187654842286525e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2922633351089601 y2[1] (numeric) = -0.2922633351087675 absolute error = 1.926792059236959e-13 relative error = 6.592657469396982e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.845999999999797 y1[1] (analytic) = 0.9566296662824066 y1[1] (numeric) = 0.9566296662824657 absolute error = 5.906386491005833e-14 relative error = 6.174161955439722e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2913068512555296 y2[1] (numeric) = -0.2913068512553367 absolute error = 1.928457393773897e-13 relative error = 6.620020728871515e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.846999999999797 y1[1] (analytic) = 0.9569204947703177 y1[1] (numeric) = 0.9569204947703767 absolute error = 5.895284260759581e-14 relative error = 6.160683455917182e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.290350076095272 y2[1] (numeric) = -0.2903500760950791 absolute error = 1.929567616798522e-13 relative error = 6.645659070416005e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.847999999999797 y1[1] (analytic) = 0.9572103663378138 y1[1] (numeric) = 0.9572103663378726 absolute error = 5.88418203051333e-14 relative error = 6.147219292061777e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2893930105849626 y2[1] (numeric) = -0.2893930105847695 absolute error = 1.931788062847772e-13 relative error = 6.675310018521061e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.848999999999797 y1[1] (analytic) = 0.9574992806950233 y1[1] (numeric) = 0.9574992806950819 absolute error = 5.861977570020827e-14 relative error = 6.122174385097994e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2884356556816667 y2[1] (numeric) = -0.2884356556814734 absolute error = 1.93345339738471e-13 relative error = 6.703239905674402e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y1[1] (analytic) = 0.9577872375530319 y1[1] (numeric) = 0.9577872375530904 absolute error = 5.850875339774575e-14 relative error = 6.108742224131606e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2874780123427392 y2[1] (numeric) = -0.2874780123425457 absolute error = 1.935118731921648e-13 relative error = 6.731362569790366e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.850999999999797 y1[1] (analytic) = 0.9580742366238827 y1[1] (numeric) = 0.9580742366239411 absolute error = 5.839773109528323e-14 relative error = 6.095324230935228e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2865200815258233 y2[1] (numeric) = -0.2865200815256296 absolute error = 1.936784066458586e-13 relative error = 6.759680006177955e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.851999999999796 y1[1] (analytic) = 0.9583602776205767 y1[1] (numeric) = 0.958360277620635 absolute error = 5.828670879282072e-14 relative error = 6.081920354371881e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2855618641888497 y2[1] (numeric) = -0.2855618641886559 absolute error = 1.937894289483211e-13 relative error = 6.786250310376281e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.852999999999796 y1[1] (analytic) = 0.958645360257073 y1[1] (numeric) = 0.9586453602571312 absolute error = 5.81756864903582e-14 relative error = 6.068530543428244e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2846033612900358 y2[1] (numeric) = -0.2846033612898418 absolute error = 1.939559624020148e-13 relative error = 6.814956841087927e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.853999999999796 y1[1] (analytic) = 0.9589294842482889 y1[1] (numeric) = 0.958929484248347 absolute error = 5.806466418789569e-14 relative error = 6.055154747214072e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2836445737878842 y2[1] (numeric) = -0.2836445737876901 absolute error = 1.941224958557086e-13 relative error = 6.8438642510707e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.854999999999796 y1[1] (analytic) = 0.9592126493101005 y1[1] (numeric) = 0.9592126493101585 absolute error = 5.795364188543317e-14 relative error = 6.041792914961606e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2826855026411825 y2[1] (numeric) = -0.2826855026409882 absolute error = 1.942890293094024e-13 relative error = 6.87297464829729e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.855999999999796 y1[1] (analytic) = 0.9594948551593427 y1[1] (numeric) = 0.9594948551594006 absolute error = 5.784261958297066e-14 relative error = 6.028444996024993e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2817261488090018 y2[1] (numeric) = -0.2817261488088073 absolute error = 1.944555627630962e-13 relative error = 6.902290170264909e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.856999999999796 y1[1] (analytic) = 0.9597761015138098 y1[1] (numeric) = 0.9597761015138674 absolute error = 5.762057497804562e-14 relative error = 6.003543418841478e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2807665132506957 y2[1] (numeric) = -0.2807665132505011 absolute error = 1.946220962167899e-13 relative error = 6.931812984514018e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.857999999999796 y1[1] (analytic) = 0.9600563880922552 y1[1] (numeric) = 0.9600563880923128 absolute error = 5.750955267558311e-14 relative error = 5.990226552198808e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2798065969258997 y2[1] (numeric) = -0.2798065969257049 absolute error = 1.947886296704837e-13 relative error = 6.961545289158031e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.858999999999796 y1[1] (analytic) = 0.9603357146143927 y1[1] (numeric) = 0.96033571461445 absolute error = 5.728750807065808e-14 relative error = 5.965362653794558e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2788464007945302 y2[1] (numeric) = -0.2788464007943352 absolute error = 1.949551631241775e-13 relative error = 6.991489313424257e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y1[1] (analytic) = 0.9606140808008955 y1[1] (numeric) = 0.9606140808009527 absolute error = 5.717648576819556e-14 relative error = 5.95207658423304e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.277885925816783 y2[1] (numeric) = -0.2778859258165879 absolute error = 1.9506618542664e-13 relative error = 7.01964969450277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.860999999999795 y1[1] (analytic) = 0.9608914863733975 y1[1] (numeric) = 0.9608914863734546 absolute error = 5.706546346573305e-14 relative error = 5.938804149582995e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2769251729531332 y2[1] (numeric) = -0.276925172952938 absolute error = 1.952327188803338e-13 relative error = 7.050017042451209e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.861999999999795 y1[1] (analytic) = 0.9611679310544933 y1[1] (numeric) = 0.9611679310545501 absolute error = 5.684341886080801e-14 relative error = 5.9139945293894e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2759641431643336 y2[1] (numeric) = -0.2759641431641382 absolute error = 1.953992523340276e-13 relative error = 7.080602939696751e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.862999999999795 y1[1] (analytic) = 0.9614434145677381 y1[1] (numeric) = 0.9614434145677948 absolute error = 5.67323965583455e-14 relative error = 5.900752524666489e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2750028374114137 y2[1] (numeric) = -0.2750028374112182 absolute error = 1.955102746364901e-13 relative error = 7.109391178535367e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.863999999999795 y1[1] (analytic) = 0.9617179366376485 y1[1] (numeric) = 0.961717936637705 absolute error = 5.651035195342047e-14 relative error = 5.87597982741089e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2740412566556795 y2[1] (numeric) = -0.2740412566554837 absolute error = 1.957323192414151e-13 relative error = 7.142439851213497e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.864999999999795 y1[1] (analytic) = 0.9619914969897023 y1[1] (numeric) = 0.9619914969897587 absolute error = 5.639932965095795e-14 relative error = 5.862768000283237e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2730794018587113 y2[1] (numeric) = -0.2730794018585154 absolute error = 1.958988526951089e-13 relative error = 7.173695685640364e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.865999999999795 y1[1] (analytic) = 0.9622640953503394 y1[1] (numeric) = 0.9622640953503956 absolute error = 5.617728504603292e-14 relative error = 5.838031920496836e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2721172739823641 y2[1] (numeric) = -0.272117273982168 absolute error = 1.960653861488026e-13 relative error = 7.205179710917935e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.866999999999795 y1[1] (analytic) = 0.9625357314469613 y1[1] (numeric) = 0.9625357314470173 absolute error = 5.606626274357041e-14 relative error = 5.824850019779223e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2711548739887655 y2[1] (numeric) = -0.2711548739885693 absolute error = 1.962319196024964e-13 relative error = 7.236894425531391e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.867999999999795 y1[1] (analytic) = 0.9628064050079319 y1[1] (numeric) = 0.9628064050079878 absolute error = 5.584421813864537e-14 relative error = 5.800150253278104e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2701922028403156 y2[1] (numeric) = -0.2701922028401192 absolute error = 1.963984530561902e-13 relative error = 7.268842364494962e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.868999999999795 y1[1] (analytic) = 0.9630761157625778 y1[1] (numeric) = 0.9630761157626334 absolute error = 5.562217353372034e-14 relative error = 5.775470144400569e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2692292614996853 y2[1] (numeric) = -0.2692292614994888 absolute error = 1.965094753586527e-13 relative error = 7.298964245715261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.869999999999794 y1[1] (analytic) = 0.9633448634411881 y1[1] (numeric) = 0.9633448634412436 absolute error = 5.551115123125783e-14 relative error = 5.762334272792515e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.268266050929816 y2[1] (numeric) = -0.2682660509296193 absolute error = 1.966760088123465e-13 relative error = 7.331378984804941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.870999999999794 y1[1] (analytic) = 0.9636126477750153 y1[1] (numeric) = 0.9636126477750706 absolute error = 5.52891066263328e-14 relative error = 5.737690009984356e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2673025720939181 y2[1] (numeric) = -0.2673025720937213 absolute error = 1.968425422660403e-13 relative error = 7.364034723799015e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.871999999999794 y1[1] (analytic) = 0.963879468496275 y1[1] (numeric) = 0.9638794684963302 absolute error = 5.517808432387028e-14 relative error = 5.724583428460435e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2663388259554704 y2[1] (numeric) = -0.2663388259552734 absolute error = 1.97009075719734e-13 relative error = 7.396934150061633e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.872999999999794 y1[1] (analytic) = 0.9641453253381466 y1[1] (numeric) = 0.9641453253382016 absolute error = 5.506706202140776e-14 relative error = 5.711489811154201e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2653748134782189 y2[1] (numeric) = -0.2653748134780217 absolute error = 1.971756091734278e-13 relative error = 7.430079990978923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.873999999999794 y1[1] (analytic) = 0.9644102180347731 y1[1] (numeric) = 0.9644102180348281 absolute error = 5.495603971894525e-14 relative error = 5.698409109655839e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2644105356261761 y2[1] (numeric) = -0.2644105356259787 absolute error = 1.973421426271216e-13 relative error = 7.463475014706833e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.874999999999794 y1[1] (analytic) = 0.964674146321262 y1[1] (numeric) = 0.9646741463213168 absolute error = 5.473399511402022e-14 relative error = 5.673832487658723e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2634459933636196 y2[1] (numeric) = -0.2634459933634221 absolute error = 1.975086760808153e-13 relative error = 7.497122030935778e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.875999999999794 y1[1] (analytic) = 0.964937109933685 y1[1] (numeric) = 0.9649371099337396 absolute error = 5.46229728115577e-14 relative error = 5.660780609350971e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2624811876550918 y2[1] (numeric) = -0.2624811876548941 absolute error = 1.976752095345091e-13 relative error = 7.531023891672585e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.876999999999794 y1[1] (analytic) = 0.9651991086090784 y1[1] (numeric) = 0.9651991086091328 absolute error = 5.440092820663267e-14 relative error = 5.636238960583826e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2615161194653982 y2[1] (numeric) = -0.2615161194652003 absolute error = 1.978417429882029e-13 relative error = 7.565183492040147e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.877999999999794 y1[1] (analytic) = 0.9654601420854437 y1[1] (numeric) = 0.9654601420854979 absolute error = 5.417888360170764e-14 relative error = 5.611716241820035e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2605507897596068 y2[1] (numeric) = -0.2605507897594089 absolute error = 1.979527652906654e-13 relative error = 7.59747324018106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.878999999999794 y1[1] (analytic) = 0.9657202101017474 y1[1] (numeric) = 0.9657202101018014 absolute error = 5.406786129924512e-14 relative error = 5.598708687431175e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2595851995030475 y2[1] (numeric) = -0.2595851995028494 absolute error = 1.981192987443592e-13 relative error = 7.632149256723449e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.879999999999793 y1[1] (analytic) = 0.9659793123979213 y1[1] (numeric) = 0.9659793123979753 absolute error = 5.395683899678261e-14 relative error = 5.58571372122262e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2586193496613103 y2[1] (numeric) = -0.258619349661112 absolute error = 1.98285832198053e-13 relative error = 7.667091903901601e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.880999999999793 y1[1] (analytic) = 0.9662374487148635 y1[1] (numeric) = 0.9662374487149172 absolute error = 5.373479439185758e-14 relative error = 5.561241127978129e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.257653241200245 y2[1] (numeric) = -0.2576532412000465 absolute error = 1.984523656517467e-13 relative error = 7.702304256964963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.881999999999793 y1[1] (analytic) = 0.9664946187944373 y1[1] (numeric) = 0.9664946187944909 absolute error = 5.362377208939506e-14 relative error = 5.548274252813014e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2566868750859599 y2[1] (numeric) = -0.2566868750857613 absolute error = 1.985633879542092e-13 relative error = 7.735626836694081e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.882999999999793 y1[1] (analytic) = 0.9667508223794731 y1[1] (numeric) = 0.9667508223795265 absolute error = 5.340172748447003e-14 relative error = 5.523835744254331e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2557202522848211 y2[1] (numeric) = -0.2557202522846224 absolute error = 1.98729921407903e-13 relative error = 7.771379843101269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.883999999999793 y1[1] (analytic) = 0.9670060592137669 y1[1] (numeric) = 0.9670060592138201 absolute error = 5.3179682879545e-14 relative error = 5.499415683370508e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2547533737634514 y2[1] (numeric) = -0.2547533737632525 absolute error = 1.988964548615968e-13 relative error = 7.807412004925204e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.884999999999793 y1[1] (analytic) = 0.9672603290420821 y1[1] (numeric) = 0.9672603290421351 absolute error = 5.295763827461997e-14 relative error = 5.475013983780985e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2537862404887292 y2[1] (numeric) = -0.2537862404885301 absolute error = 1.990629883152906e-13 relative error = 7.843726591794132e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.885999999999793 y1[1] (analytic) = 0.9675136316101489 y1[1] (numeric) = 0.9675136316102018 absolute error = 5.284661597215745e-14 relative error = 5.462105570978821e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2528188534277876 y2[1] (numeric) = -0.2528188534275884 absolute error = 1.992295217689843e-13 relative error = 7.880326924506447e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.886999999999793 y1[1] (analytic) = 0.9677659666646646 y1[1] (numeric) = 0.9677659666647174 absolute error = 5.273559366969494e-14 relative error = 5.44920936323524e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2518512135480136 y2[1] (numeric) = -0.2518512135478143 absolute error = 1.993405440714469e-13 relative error = 7.915012251209345e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.887999999999793 y1[1] (analytic) = 0.9680173339532945 y1[1] (numeric) = 0.968017333953347 absolute error = 5.25135490647699e-14 relative error = 5.42485627300798e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2508833218170471 y2[1] (numeric) = -0.2508833218168476 absolute error = 1.995070775251406e-13 relative error = 7.952185744360806e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.888999999999792 y1[1] (analytic) = 0.968267733224671 y1[1] (numeric) = 0.9682677332247233 absolute error = 5.229150445984487e-14 relative error = 5.400521226262062e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2499151792027797 y2[1] (numeric) = -0.24991517920258 absolute error = 1.996736109788344e-13 relative error = 7.989655194845945e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.889999999999792 y1[1] (analytic) = 0.9685171642283948 y1[1] (numeric) = 0.968517164228447 absolute error = 5.218048215738236e-14 relative error = 5.387667259253364e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2489467866733539 y2[1] (numeric) = -0.248946786673154 absolute error = 1.998401444325282e-13 relative error = 8.027424137622667e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.890999999999792 y1[1] (analytic) = 0.9687656267150353 y1[1] (numeric) = 0.9687656267150873 absolute error = 5.195843755245733e-14 relative error = 5.363365102934337e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2479781451971621 y2[1] (numeric) = -0.2479781451969622 absolute error = 1.999789223106063e-13 relative error = 8.064376889003963e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.891999999999792 y1[1] (analytic) = 0.9690131204361297 y1[1] (numeric) = 0.9690131204361815 absolute error = 5.173639294753229e-14 relative error = 5.339080746837254e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2470092557428459 y2[1] (numeric) = -0.2470092557426457 absolute error = 2.001454557643001e-13 relative error = 8.102751257736903e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.892999999999792 y1[1] (analytic) = 0.9692596451441845 y1[1] (numeric) = 0.9692596451442361 absolute error = 5.162537064506978e-14 relative error = 5.326268446613201e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2460401192792945 y2[1] (numeric) = -0.2460401192790941 absolute error = 2.003119892179939e-13 relative error = 8.141436031032325e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.893999999999792 y1[1] (analytic) = 0.969505200592675 y1[1] (numeric) = 0.9695052005927264 absolute error = 5.140332604014475e-14 relative error = 5.302016534694298e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2450707367756443 y2[1] (numeric) = -0.2450707367754438 absolute error = 2.004785226716876e-13 relative error = 8.180434976013492e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.894999999999792 y1[1] (analytic) = 0.9697497865360456 y1[1] (numeric) = 0.9697497865360968 absolute error = 5.118128143521972e-14 relative error = 5.277782181117016e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2441011092012777 y2[1] (numeric) = -0.2441011092010771 absolute error = 2.006450561253814e-13 relative error = 8.219751920911434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.895999999999792 y1[1] (analytic) = 0.9699934027297105 y1[1] (numeric) = 0.9699934027297615 absolute error = 5.10702591327572e-14 relative error = 5.265010977295066e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2431312375258223 y2[1] (numeric) = -0.2431312375256215 absolute error = 2.007838340034596e-13 relative error = 8.258249168091158e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.896999999999792 y1[1] (analytic) = 0.9702360489300534 y1[1] (numeric) = 0.9702360489301043 absolute error = 5.084821452783217e-14 relative error = 5.240808624242113e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2421611227191496 y2[1] (numeric) = -0.2421611227189487 absolute error = 2.009503674571533e-13 relative error = 8.298209274913581e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.897999999999791 y1[1] (analytic) = 0.9704777248944283 y1[1] (numeric) = 0.970477724894479 absolute error = 5.073719222536965e-14 relative error = 5.228063553018593e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2411907657513744 y2[1] (numeric) = -0.2411907657511733 absolute error = 2.010891453352315e-13 relative error = 8.337348434911447e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.898999999999791 y1[1] (analytic) = 0.9707184303811591 y1[1] (numeric) = 0.9707184303812098 absolute error = 5.062616992290714e-14 relative error = 5.215330042000792e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2402201675928535 y2[1] (numeric) = -0.2402201675926523 absolute error = 2.012556787889253e-13 relative error = 8.377967628847518e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.899999999999791 y1[1] (analytic) = 0.9709581651495406 y1[1] (numeric) = 0.970958165149591 absolute error = 5.040412531798211e-14 relative error = 5.191173742302192e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2392493292141851 y2[1] (numeric) = -0.2392493292139837 absolute error = 2.013944566670034e-13 relative error = 8.417764736414682e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.900999999999791 y1[1] (analytic) = 0.9711969289598377 y1[1] (numeric) = 0.971196928959888 absolute error = 5.029310301551959e-14 relative error = 5.178466026389112e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2382782515862074 y2[1] (numeric) = -0.2382782515860058 absolute error = 2.015609901206972e-13 relative error = 8.459059472650774e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.901999999999791 y1[1] (analytic) = 0.9714347215732868 y1[1] (numeric) = 0.9714347215733369 absolute error = 5.007105841059456e-14 relative error = 5.154341027619642e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2373069356799979 y2[1] (numeric) = -0.2373069356797962 absolute error = 2.017275235743909e-13 relative error = 8.500700706296049e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.902999999999791 y1[1] (analytic) = 0.9716715427520953 y1[1] (numeric) = 0.9716715427521452 absolute error = 4.984901380566953e-14 relative error = 5.130232965810713e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2363353824668726 y2[1] (numeric) = -0.2363353824666707 absolute error = 2.018663014524691e-13 relative error = 8.541518385668086e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.903999999999791 y1[1] (analytic) = 0.9719073922594421 y1[1] (numeric) = 0.9719073922594917 absolute error = 4.96269692007445e-14 relative error = 5.106141757536609e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2353635929183844 y2[1] (numeric) = -0.2353635929181824 absolute error = 2.020328349061629e-13 relative error = 8.583860927727277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.904999999999791 y1[1] (analytic) = 0.9721422698594775 y1[1] (numeric) = 0.972142269859527 absolute error = 4.951594689828198e-14 relative error = 5.093487695524183e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.234391568006323 y2[1] (numeric) = -0.2343915680061208 absolute error = 2.02171612784241e-13 relative error = 8.625379082697514e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.905999999999791 y1[1] (analytic) = 0.9723761753173241 y1[1] (numeric) = 0.9723761753173734 absolute error = 4.929390229335695e-14 relative error = 5.069427197480485e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2334193087027131 y2[1] (numeric) = -0.2334193087025108 absolute error = 2.023381462379348e-13 relative error = 8.668440814193147e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.90699999999979 y1[1] (analytic) = 0.9726091083990764 y1[1] (numeric) = 0.9726091083991256 absolute error = 4.918287999089443e-14 relative error = 5.056798210727217e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2324468159798139 y2[1] (numeric) = -0.2324468159796114 absolute error = 2.024769241160129e-13 relative error = 8.710677462391929e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.90799999999979 y1[1] (analytic) = 0.9728410688718014 y1[1] (numeric) = 0.9728410688718504 absolute error = 4.89608353859694e-14 relative error = 5.032768141948307e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2314740908101182 y2[1] (numeric) = -0.2314740908099155 absolute error = 2.026712131453223e-13 relative error = 8.755675956475695e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.90899999999979 y1[1] (analytic) = 0.9730720565035387 y1[1] (numeric) = 0.9730720565035874 absolute error = 4.873879078104437e-14 relative error = 5.008754537271735e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2305011341663509 y2[1] (numeric) = -0.2305011341661481 absolute error = 2.028377465990161e-13 relative error = 8.799858939202862e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.90999999999979 y1[1] (analytic) = 0.9733020710633004 y1[1] (numeric) = 0.973302071063349 absolute error = 4.862776847858186e-14 relative error = 4.996164081461126e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2295279470214686 y2[1] (numeric) = -0.2295279470212657 absolute error = 2.029765244770942e-13 relative error = 8.843216136033712e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91099999999979 y1[1] (analytic) = 0.9735311123210723 y1[1] (numeric) = 0.9735311123211207 absolute error = 4.840572387365683e-14 relative error = 4.972180473847305e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2285545303486585 y2[1] (numeric) = -0.2285545303484554 absolute error = 2.03143057930788e-13 relative error = 8.888165884128157e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91199999999979 y1[1] (analytic) = 0.9737591800478128 y1[1] (numeric) = 0.9737591800478611 absolute error = 4.829470157119431e-14 relative error = 4.959614508468406e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2275808851213371 y2[1] (numeric) = -0.2275808851211338 absolute error = 2.032818358088662e-13 relative error = 8.932289533037205e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91299999999979 y1[1] (analytic) = 0.9739862740154546 y1[1] (numeric) = 0.9739862740155026 absolute error = 4.807265696626928e-14 relative error = 4.935660619536256e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2266070123131495 y2[1] (numeric) = -0.226607012312946 absolute error = 2.034483692625599e-13 relative error = 8.978026195474195e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91399999999979 y1[1] (analytic) = 0.9742123939969034 y1[1] (numeric) = 0.9742123939969514 absolute error = 4.796163466380676e-14 relative error = 4.923118917327099e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2256329128979684 y2[1] (numeric) = -0.2256329128977649 absolute error = 2.035871471406381e-13 relative error = 9.022936615311106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.91499999999979 y1[1] (analytic) = 0.9744375397660394 y1[1] (numeric) = 0.9744375397660873 absolute error = 4.785061236134425e-14 relative error = 4.910587945209201e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2246585878498933 y2[1] (numeric) = -0.2246585878496896 absolute error = 2.037536805943319e-13 relative error = 9.069481053200192e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.915999999999789 y1[1] (analytic) = 0.9746617110977169 y1[1] (numeric) = 0.9746617110977646 absolute error = 4.762856775641922e-14 relative error = 4.886676804280876e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2236840381432491 y2[1] (numeric) = -0.2236840381430452 absolute error = 2.0389245847241e-13 relative error = 9.115199285781653e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.916999999999789 y1[1] (analytic) = 0.9748849077677646 y1[1] (numeric) = 0.974884907767812 absolute error = 4.740652315149418e-14 relative error = 4.862781521568829e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2227092647525853 y2[1] (numeric) = -0.2227092647523813 absolute error = 2.040589919261038e-13 relative error = 9.162573104122959e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.917999999999789 y1[1] (analytic) = 0.9751071295529856 y1[1] (numeric) = 0.9751071295530329 absolute error = 4.729550084903167e-14 relative error = 4.850287667439489e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2217342686526754 y2[1] (numeric) = -0.2217342686524712 absolute error = 2.041977698041819e-13 relative error = 9.209120946660588e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.918999999999789 y1[1] (analytic) = 0.9753283762311584 y1[1] (numeric) = 0.9753283762312055 absolute error = 4.707345624410664e-14 relative error = 4.826421274238612e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2207590508185153 y2[1] (numeric) = -0.2207590508183109 absolute error = 2.043365476822601e-13 relative error = 9.256089248646206e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y1[1] (analytic) = 0.9755486475810363 y1[1] (numeric) = 0.9755486475810832 absolute error = 4.685141163918161e-14 relative error = 4.80257050792434e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2197836122253227 y2[1] (numeric) = -0.2197836122251182 absolute error = 2.044753255603382e-13 relative error = 9.303483707907648e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.920999999999789 y1[1] (analytic) = 0.9757679433823478 y1[1] (numeric) = 0.9757679433823946 absolute error = 4.674038933671909e-14 relative error = 4.790113228633111e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2188079538485363 y2[1] (numeric) = -0.2188079538483317 absolute error = 2.046141034384164e-13 relative error = 9.351310125593277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.921999999999789 y1[1] (analytic) = 0.9759862634157973 y1[1] (numeric) = 0.9759862634158439 absolute error = 4.662936703425657e-14 relative error = 4.777666324017838e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2178320766638142 y2[1] (numeric) = -0.2178320766636094 absolute error = 2.047806368921101e-13 relative error = 9.400848581549966e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.922999999999789 y1[1] (analytic) = 0.9762036074630648 y1[1] (numeric) = 0.9762036074631112 absolute error = 4.640732242933154e-14 relative error = 4.753856887492335e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2168559816470337 y2[1] (numeric) = -0.2168559816468287 absolute error = 2.049471703458039e-13 relative error = 9.450842388077947e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.923999999999789 y1[1] (analytic) = 0.976419975306806 y1[1] (numeric) = 0.9764199753068523 absolute error = 4.629630012686903e-14 relative error = 4.741433122803743e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2158796697742895 y2[1] (numeric) = -0.2158796697740844 absolute error = 2.05085948223882e-13 relative error = 9.500012133532875e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.924999999999788 y1[1] (analytic) = 0.9766353667306534 y1[1] (numeric) = 0.9766353667306995 absolute error = 4.6074255521944e-14 relative error = 4.717651755350657e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2149031420218936 y2[1] (numeric) = -0.2149031420216883 absolute error = 2.052524816775758e-13 relative error = 9.550929769871184e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.925999999999788 y1[1] (analytic) = 0.9768497815192154 y1[1] (numeric) = 0.9768497815192614 absolute error = 4.596323321948148e-14 relative error = 4.705250908486521e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2139263993663735 y2[1] (numeric) = -0.2139263993661681 absolute error = 2.05391259555654e-13 relative error = 9.601024472154923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.926999999999788 y1[1] (analytic) = 0.9770632194580773 y1[1] (numeric) = 0.9770632194581231 absolute error = 4.585221091701897e-14 relative error = 4.69286019613456e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2129494427844719 y2[1] (numeric) = -0.2129494427842664 absolute error = 2.055577930093477e-13 relative error = 9.652891800115892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.927999999999788 y1[1] (analytic) = 0.9772756803338012 y1[1] (numeric) = 0.9772756803338468 absolute error = 4.563016631209393e-14 relative error = 4.669119188201671e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2119722732531453 y2[1] (numeric) = -0.2119722732529396 absolute error = 2.057243264630415e-13 relative error = 9.705246979040402e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.928999999999788 y1[1] (analytic) = 0.9774871639339261 y1[1] (numeric) = 0.9774871639339716 absolute error = 4.551914400963142e-14 relative error = 4.656751074503963e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2109948917495631 y2[1] (numeric) = -0.2109948917493572 absolute error = 2.058631043411197e-13 relative error = 9.756781438361337e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y1[1] (analytic) = 0.9776976700469686 y1[1] (numeric) = 0.9776976700470139 absolute error = 4.529709940470639e-14 relative error = 4.633037470829844e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2100172992511067 y2[1] (numeric) = -0.2100172992509007 absolute error = 2.060018822191978e-13 relative error = 9.808805415257347e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.930999999999788 y1[1] (analytic) = 0.9779071984624226 y1[1] (numeric) = 0.9779071984624677 absolute error = 4.507505479978136e-14 relative error = 4.609338684760017e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2090394967353686 y2[1] (numeric) = -0.2090394967351624 absolute error = 2.061684156728916e-13 relative error = 9.862653656016422e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.931999999999788 y1[1] (analytic) = 0.9781157489707595 y1[1] (numeric) = 0.9781157489708044 absolute error = 4.496403249731884e-14 relative error = 4.597005266977153e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2080614851801511 y2[1] (numeric) = -0.2080614851799448 absolute error = 2.063071935509697e-13 relative error = 9.915683980258892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.932999999999788 y1[1] (analytic) = 0.9783233213634289 y1[1] (numeric) = 0.9783233213634738 absolute error = 4.485301019485632e-14 relative error = 4.584681691155787e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2070832655634658 y2[1] (numeric) = -0.2070832655632593 absolute error = 2.064737270046635e-13 relative error = 9.970565532799389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.933999999999787 y1[1] (analytic) = 0.9785299154328586 y1[1] (numeric) = 0.9785299154329032 absolute error = 4.463096558993129e-14 relative error = 4.561022088955606e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2061048388635322 y2[1] (numeric) = -0.2061048388633256 absolute error = 2.066402604583573e-13 relative error = 1.002597811860107e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.934999999999787 y1[1] (analytic) = 0.9787355309724544 y1[1] (numeric) = 0.9787355309724988 absolute error = 4.440892098500626e-14 relative error = 4.537377011426401e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2051262060587769 y2[1] (numeric) = -0.2051262060585702 absolute error = 2.067790383364354e-13 relative error = 1.008057635878981e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.935999999999787 y1[1] (analytic) = 0.9789401677766008 y1[1] (numeric) = 0.9789401677766449 absolute error = 4.418687638008123e-14 relative error = 4.513746379458495e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2041473681278327 y2[1] (numeric) = -0.2041473681276257 absolute error = 2.069455717901292e-13 relative error = 1.013706782938021e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.936999999999787 y1[1] (analytic) = 0.9791438256406608 y1[1] (numeric) = 0.9791438256407049 absolute error = 4.407585407761871e-14 relative error = 4.50146882648007e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2031683260495373 y2[1] (numeric) = -0.2031683260493302 absolute error = 2.07112105243823e-13 relative error = 1.019411387941071e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.937999999999787 y1[1] (analytic) = 0.9793465043609769 y1[1] (numeric) = 0.9793465043610208 absolute error = 4.385380947269368e-14 relative error = 4.477864502238487e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2021890808029329 y2[1] (numeric) = -0.2021890808027256 absolute error = 2.072786386975167e-13 relative error = 1.025172268820711e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.938999999999787 y1[1] (analytic) = 0.9795482037348703 y1[1] (numeric) = 0.9795482037349139 absolute error = 4.363176486776865e-14 relative error = 4.454274399300339e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2012096333672644 y2[1] (numeric) = -0.201209633367057 absolute error = 2.074174165755949e-13 relative error = 1.030852316086673e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y1[1] (analytic) = 0.9797489235606416 y1[1] (numeric) = 0.979748923560685 absolute error = 4.340972026284362e-14 relative error = 4.430698439053378e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.2002299847219794 y2[1] (numeric) = -0.2002299847217718 absolute error = 2.07556194453673e-13 relative error = 1.03658897413325e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.940999999999787 y1[1] (analytic) = 0.9799486636375709 y1[1] (numeric) = 0.9799486636376141 absolute error = 4.318767565791859e-14 relative error = 4.407136543010924e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1992501358467263 y2[1] (numeric) = -0.1992501358465186 absolute error = 2.077227279073668e-13 relative error = 1.042522390384507e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.941999999999787 y1[1] (analytic) = 0.9801474237659182 y1[1] (numeric) = 0.9801474237659613 absolute error = 4.307665335545607e-14 relative error = 4.394915735221457e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.198270087721354 y2[1] (numeric) = -0.1982700877211461 absolute error = 2.078892613610606e-13 relative error = 1.048515506046607e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.942999999999786 y1[1] (analytic) = 0.9803452037469236 y1[1] (numeric) = 0.9803452037469664 absolute error = 4.285460875053104e-14 relative error = 4.371379447437372e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1972898413259105 y2[1] (numeric) = -0.1972898413257024 absolute error = 2.080280392391387e-13 relative error = 1.054428539457789e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.943999999999786 y1[1] (analytic) = 0.9805420033828068 y1[1] (numeric) = 0.9805420033828495 absolute error = 4.263256414560601e-14 relative error = 4.347857001385602e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1963093976406421 y2[1] (numeric) = -0.1963093976404339 absolute error = 2.081945726928325e-13 relative error = 1.060543077382098e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.944999999999786 y1[1] (analytic) = 0.9807378224767683 y1[1] (numeric) = 0.9807378224768108 absolute error = 4.25215418431435e-14 relative error = 4.335668602619916e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1953287576459924 y2[1] (numeric) = -0.195328757645784 absolute error = 2.083611061465263e-13 relative error = 1.066720070600937e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.945999999999786 y1[1] (analytic) = 0.9809326608329891 y1[1] (numeric) = 0.9809326608330314 absolute error = 4.229949723821846e-14 relative error = 4.312171357644321e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1943479223226013 y2[1] (numeric) = -0.1943479223223928 absolute error = 2.084998840246044e-13 relative error = 1.072817663975393e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.946999999999786 y1[1] (analytic) = 0.9811265182566309 y1[1] (numeric) = 0.981126518256673 absolute error = 4.207745263329343e-14 relative error = 4.288687732960382e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1933668926513042 y2[1] (numeric) = -0.1933668926510955 absolute error = 2.086386619026825e-13 relative error = 1.078978200673255e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.947999999999786 y1[1] (analytic) = 0.9813193945538361 y1[1] (numeric) = 0.981319394553878 absolute error = 4.18554080283684e-14 relative error = 4.265217650915609e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1923856696131304 y2[1] (numeric) = -0.1923856696129217 absolute error = 2.087774397807607e-13 relative error = 1.08520265672902e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.948999999999786 y1[1] (analytic) = 0.9815112895317285 y1[1] (numeric) = 0.9815112895317702 absolute error = 4.174438572590589e-14 relative error = 4.253072396734408e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1914042541893032 y2[1] (numeric) = -0.1914042541890942 absolute error = 2.089439732344545e-13 relative error = 1.091637038682558e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y1[1] (analytic) = 0.9817022029984133 y1[1] (numeric) = 0.9817022029984548 absolute error = 4.152234112098085e-14 relative error = 4.229626967746345e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1904226473612376 y2[1] (numeric) = -0.1904226473610285 absolute error = 2.091105066881482e-13 relative error = 1.098138848429405e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.950999999999786 y1[1] (analytic) = 0.9818921347629768 y1[1] (numeric) = 0.9818921347630181 absolute error = 4.130029651605582e-14 relative error = 4.206194861314933e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1894408501105406 y2[1] (numeric) = -0.1894408501103313 absolute error = 2.092492845662264e-13 relative error = 1.104562634955066e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.951999999999785 y1[1] (analytic) = 0.9820810846354874 y1[1] (numeric) = 0.9820810846355285 absolute error = 4.107825191113079e-14 relative error = 4.182776000250279e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1884588634190092 y2[1] (numeric) = -0.1884588634187999 absolute error = 2.093880624443045e-13 relative error = 1.111054469105878e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.952999999999785 y1[1] (analytic) = 0.9822690524269951 y1[1] (numeric) = 0.9822690524270361 absolute error = 4.096722960866828e-14 relative error = 4.17067294418431e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1874766882686302 y2[1] (numeric) = -0.1874766882684206 absolute error = 2.095268403223827e-13 relative error = 1.117615433990158e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.953999999999785 y1[1] (analytic) = 0.9824560379495323 y1[1] (numeric) = 0.9824560379495731 absolute error = 4.085620730620576e-14 relative error = 4.15857867711578e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1864943256415785 y2[1] (numeric) = -0.1864943256413688 absolute error = 2.096933737760764e-13 relative error = 1.124395463801317e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.954999999999785 y1[1] (analytic) = 0.9826420410161134 y1[1] (numeric) = 0.982642041016154 absolute error = 4.063416270128073e-14 relative error = 4.135194812066301e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1855117765202167 y2[1] (numeric) = -0.1855117765200068 absolute error = 2.098321516541546e-13 relative error = 1.131098820733289e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.955999999999785 y1[1] (analytic) = 0.9828270614407355 y1[1] (numeric) = 0.9828270614407758 absolute error = 4.030109579389318e-14 relative error = 4.100527689460994e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1845290418870938 y2[1] (numeric) = -0.1845290418868838 absolute error = 2.099709295322327e-13 relative error = 1.137874707335802e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.956999999999785 y1[1] (analytic) = 0.9830110990383779 y1[1] (numeric) = 0.9830110990384181 absolute error = 4.019007349143067e-14 relative error = 4.088465891254561e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1835461227249444 y2[1] (numeric) = -0.1835461227247343 absolute error = 2.101374629859265e-13 relative error = 1.144875521564849e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.957999999999785 y1[1] (analytic) = 0.9831941536250033 y1[1] (numeric) = 0.9831941536250433 absolute error = 3.996802888650564e-14 relative error = 4.065120682333685e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1825630200166876 y2[1] (numeric) = -0.1825630200164773 absolute error = 2.103039964396203e-13 relative error = 1.151952878630058e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.958999999999785 y1[1] (analytic) = 0.9833762250175569 y1[1] (numeric) = 0.9833762250175967 absolute error = 3.97459842815806e-14 relative error = 4.041788205818276e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.181579734745426 y2[1] (numeric) = -0.1815797347452155 absolute error = 2.104427743176984e-13 relative error = 1.158955180834129e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y1[1] (analytic) = 0.9835573130339675 y1[1] (numeric) = 0.9835573130340071 absolute error = 3.952393967665557e-14 relative error = 4.018468385409748e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1805962678944448 y2[1] (numeric) = -0.1805962678942342 absolute error = 2.106093077713922e-13 relative error = 1.166188594187835e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.960999999999784 y1[1] (analytic) = 0.983737417493147 y1[1] (numeric) = 0.9837374174931864 absolute error = 3.941291737419306e-14 relative error = 4.0064469108666e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1796126204472107 y2[1] (numeric) = -0.1796126204469999 absolute error = 2.107480856494703e-13 relative error = 1.173347870125922e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.961999999999784 y1[1] (analytic) = 0.983916538214991 y1[1] (numeric) = 0.9839165382150302 absolute error = 3.919087276926803e-14 relative error = 3.983150119660313e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1786287933873711 y2[1] (numeric) = -0.1786287933871602 absolute error = 2.109146191031641e-13 relative error = 1.180742561731235e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.962999999999784 y1[1] (analytic) = 0.9840946750203788 y1[1] (numeric) = 0.9840946750204178 absolute error = 3.896882816434299e-14 relative error = 3.959865768355674e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1776447876987531 y2[1] (numeric) = -0.177644787698542 absolute error = 2.110533969812423e-13 relative error = 1.188064112182919e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.963999999999784 y1[1] (analytic) = 0.9842718277311735 y1[1] (numeric) = 0.9842718277312124 absolute error = 3.885780586188048e-14 relative error = 3.947873419424274e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1766606043653622 y2[1] (numeric) = -0.1766606043651509 absolute error = 2.11219930434936e-13 relative error = 1.195625539682292e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.964999999999784 y1[1] (analytic) = 0.9844479961702226 y1[1] (numeric) = 0.9844479961702612 absolute error = 3.863576125695545e-14 relative error = 3.924611701914102e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1756762443713815 y2[1] (numeric) = -0.1756762443711702 absolute error = 2.113587083130142e-13 relative error = 1.203114906453712e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.965999999999784 y1[1] (analytic) = 0.9846231801613575 y1[1] (numeric) = 0.9846231801613959 absolute error = 3.841371665203042e-14 relative error = 3.901362209016375e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1746917087011712 y2[1] (numeric) = -0.1746917087009597 absolute error = 2.115252417667079e-13 relative error = 1.210848776621359e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.966999999999784 y1[1] (analytic) = 0.9847973795293944 y1[1] (numeric) = 0.9847973795294326 absolute error = 3.819167204710538e-14 relative error = 3.878124865173388e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1737069983392668 y2[1] (numeric) = -0.1737069983390551 absolute error = 2.116640196447861e-13 relative error = 1.218511756396743e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.967999999999784 y1[1] (analytic) = 0.9849705941001337 y1[1] (numeric) = 0.9849705941001717 absolute error = 3.808064974464287e-14 relative error = 3.866171231176017e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1727221142703785 y2[1] (numeric) = -0.1727221142701666 absolute error = 2.118305530984799e-13 relative error = 1.226424039523284e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.968999999999784 y1[1] (analytic) = 0.985142823700361 y1[1] (numeric) = 0.9851428237003989 absolute error = 3.785860513971784e-14 relative error = 3.842955988606261e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1717370574793902 y2[1] (numeric) = -0.1717370574791783 absolute error = 2.119415754009424e-13 relative error = 1.234105081987777e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.969999999999783 y1[1] (analytic) = 0.9853140681578467 y1[1] (numeric) = 0.9853140681578844 absolute error = 3.763656053479281e-14 relative error = 3.819752681006423e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1707518289513588 y2[1] (numeric) = -0.1707518289511468 absolute error = 2.120803532790205e-13 relative error = 1.242038545539883e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.970999999999783 y1[1] (analytic) = 0.9854843273013464 y1[1] (numeric) = 0.9854843273013838 absolute error = 3.741451592986778e-14 relative error = 3.796561233228722e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1697664296715128 y2[1] (numeric) = -0.1697664296713005 absolute error = 2.122468867327143e-13 relative error = 1.250228841729184e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.971999999999783 y1[1] (analytic) = 0.985653600960601 y1[1] (numeric) = 0.9856536009606381 absolute error = 3.719247132494274e-14 relative error = 3.77338157022869e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1687808606252511 y2[1] (numeric) = -0.1687808606250387 absolute error = 2.123856646107924e-13 relative error = 1.258351591667483e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.972999999999783 y1[1] (analytic) = 0.9858218889663366 y1[1] (numeric) = 0.9858218889663737 absolute error = 3.708144902248023e-14 relative error = 3.761475519818415e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.167795122798143 y2[1] (numeric) = -0.1677951227979304 absolute error = 2.125521980644862e-13 relative error = 1.266736449307802e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.973999999999783 y1[1] (analytic) = 0.9859891911502655 y1[1] (numeric) = 0.9859891911503024 absolute error = 3.68594044175552e-14 relative error = 3.738317290735674e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.166809217175926 y2[1] (numeric) = -0.1668092171757133 absolute error = 2.1271873151818e-13 relative error = 1.275221688102735e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.974999999999783 y1[1] (analytic) = 0.9861555073450854 y1[1] (numeric) = 0.986155507345122 absolute error = 3.663735981263017e-14 relative error = 3.715170633814618e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1658231447445057 y2[1] (numeric) = -0.1658231447442929 absolute error = 2.128297538206425e-13 relative error = 1.283474355456007e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.975999999999783 y1[1] (analytic) = 0.9863208373844801 y1[1] (numeric) = 0.9863208373845166 absolute error = 3.652633751016765e-14 relative error = 3.703291680121854e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1648369064899545 y2[1] (numeric) = -0.1648369064897415 absolute error = 2.129962872743363e-13 relative error = 1.29216382307755e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.976999999999783 y1[1] (analytic) = 0.9864851811031196 y1[1] (numeric) = 0.986485181103156 absolute error = 3.641531520770513e-14 relative error = 3.691420398934362e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1638505033985105 y2[1] (numeric) = -0.1638505033982974 absolute error = 2.131350651524144e-13 relative error = 1.300789809806296e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.977999999999783 y1[1] (analytic) = 0.9866485383366602 y1[1] (numeric) = 0.9866485383366964 absolute error = 3.61932706027801e-14 relative error = 3.668304284299297e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1628639364565768 y2[1] (numeric) = -0.1628639364563636 absolute error = 2.132738430304926e-13 relative error = 1.309521602330643e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.978999999999782 y1[1] (analytic) = 0.9868109089217447 y1[1] (numeric) = 0.9868109089217807 absolute error = 3.597122599785507e-14 relative error = 3.645199467561584e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1618772066507203 y2[1] (numeric) = -0.1618772066505068 absolute error = 2.134403764841863e-13 relative error = 1.318532614321194e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.979999999999782 y1[1] (analytic) = 0.9869722926960026 y1[1] (numeric) = 0.9869722926960384 absolute error = 3.574918139293004e-14 relative error = 3.622105874449421e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1608903149676705 y2[1] (numeric) = -0.160890314967457 absolute error = 2.135791543622645e-13 relative error = 1.327482977487994e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.980999999999782 y1[1] (analytic) = 0.98713268949805 y1[1] (numeric) = 0.9871326894980855 absolute error = 3.552713678800501e-14 relative error = 3.599023430788247e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1599032623943192 y2[1] (numeric) = -0.1599032623941055 absolute error = 2.137179322403426e-13 relative error = 1.33654516512188e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.981999999999782 y1[1] (analytic) = 0.9872920991674901 y1[1] (numeric) = 0.9872920991675255 absolute error = 3.541611448554249e-14 relative error = 3.587197194772071e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1589160499177189 y2[1] (numeric) = -0.158916049917505 absolute error = 2.138844656940364e-13 relative error = 1.345895935651422e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.982999999999782 y1[1] (analytic) = 0.9874505215449133 y1[1] (numeric) = 0.9874505215449485 absolute error = 3.519406988061746e-14 relative error = 3.564135023753359e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1579286785250818 y2[1] (numeric) = -0.1579286785248678 absolute error = 2.140232435721146e-13 relative error = 1.355189225737262e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.983999999999782 y1[1] (analytic) = 0.9876079564718974 y1[1] (numeric) = 0.9876079564719323 absolute error = 3.497202527569243e-14 relative error = 3.541083792057073e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1569411492037794 y2[1] (numeric) = -0.1569411492035653 absolute error = 2.141620214501927e-13 relative error = 1.364600823536185e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.984999999999782 y1[1] (analytic) = 0.9877644037910072 y1[1] (numeric) = 0.9877644037910419 absolute error = 3.47499806707674e-14 relative error = 3.518043425881528e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1559534629413409 y2[1] (numeric) = -0.1559534629411266 absolute error = 2.143007993282708e-13 relative error = 1.374132996385443e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.985999999999782 y1[1] (analytic) = 0.9879198633457955 y1[1] (numeric) = 0.98791986334583 absolute error = 3.452793606584237e-14 relative error = 3.495013851518923e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1549656207254524 y2[1] (numeric) = -0.154965620725238 absolute error = 2.14439577206349e-13 relative error = 1.383788069911743e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.986999999999782 y1[1] (analytic) = 0.9880743349808028 y1[1] (numeric) = 0.9880743349808372 absolute error = 3.441691376337985e-14 relative error = 3.483231225113092e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1539776235439561 y2[1] (numeric) = -0.1539776235437415 absolute error = 2.146061106600428e-13 relative error = 1.393748687118677e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.987999999999781 y1[1] (analytic) = 0.9882278185415575 y1[1] (numeric) = 0.9882278185415917 absolute error = 3.419486915845482e-14 relative error = 3.460221268504681e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1529894723848491 y2[1] (numeric) = -0.1529894723846344 absolute error = 2.147448885381209e-13 relative error = 1.403657945809006e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.988999999999781 y1[1] (analytic) = 0.988380313874576 y1[1] (numeric) = 0.98838031387461 absolute error = 3.397282455352979e-14 relative error = 3.43722189491533e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1520011682362825 y2[1] (numeric) = -0.1520011682360676 absolute error = 2.14883666416199e-13 relative error = 1.41369746633899e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.989999999999781 y1[1] (analytic) = 0.988531820827363 y1[1] (numeric) = 0.9885318208273968 absolute error = 3.375077994860476e-14 relative error = 3.414233030997086e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1510127120865603 y2[1] (numeric) = -0.1510127120863452 absolute error = 2.150224442942772e-13 relative error = 1.423869827402521e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.990999999999781 y1[1] (analytic) = 0.9886823392484115 y1[1] (numeric) = 0.9886823392484451 absolute error = 3.352873534367973e-14 relative error = 3.391254603492564e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1500241049241386 y2[1] (numeric) = -0.1500241049239234 absolute error = 2.15188977747971e-13 relative error = 1.434362683628633e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.991999999999781 y1[1] (analytic) = 0.9888318689872032 y1[1] (numeric) = 0.9888318689872365 absolute error = 3.33066907387547e-14 relative error = 3.368286539234278e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1490353477376244 y2[1] (numeric) = -0.1490353477374091 absolute error = 2.153277556260491e-13 relative error = 1.444809965519938e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.992999999999781 y1[1] (analytic) = 0.9889804098942083 y1[1] (numeric) = 0.9889804098942414 absolute error = 3.308464613382966e-14 relative error = 3.345328765143967e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.148046441515775 y2[1] (numeric) = -0.1480464415155595 absolute error = 2.154942890797429e-13 relative error = 1.455585739673324e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.993999999999781 y1[1] (analytic) = 0.9891279618208859 y1[1] (numeric) = 0.9891279618209188 absolute error = 3.286260152890463e-14 relative error = 3.322381208231932e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1470573872474963 y2[1] (numeric) = -0.1470573872472807 absolute error = 2.15633066957821e-13 relative error = 1.466319176437647e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.994999999999781 y1[1] (analytic) = 0.9892745246196841 y1[1] (numeric) = 0.9892745246197168 absolute error = 3.26405569239796e-14 relative error = 3.299443795596365e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1460681859218427 y2[1] (numeric) = -0.1460681859216269 absolute error = 2.157996004115148e-13 relative error = 1.477389474303347e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.995999999999781 y1[1] (analytic) = 0.9894200981440402 y1[1] (numeric) = 0.9894200981440726 absolute error = 3.241851231905457e-14 relative error = 3.276516454422687e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1450788385280153 y2[1] (numeric) = -0.1450788385277994 absolute error = 2.159106227139773e-13 relative error = 1.488229606086101e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.996999999999781 y1[1] (analytic) = 0.9895646822483805 y1[1] (numeric) = 0.9895646822484128 absolute error = 3.230749001659206e-14 relative error = 3.264818419265582e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1440893460553616 y2[1] (numeric) = -0.1440893460551455 absolute error = 2.160771561676711e-13 relative error = 1.499605363498913e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.99799999999978 y1[1] (analytic) = 0.989708276788121 y1[1] (numeric) = 0.9897082767881531 absolute error = 3.208544541166702e-14 relative error = 3.241909375133573e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1430997094933737 y2[1] (numeric) = -0.1430997094931575 absolute error = 2.162159340457492e-13 relative error = 1.510946002694445e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.99899999999978 y1[1] (analytic) = 0.9898508816196673 y1[1] (numeric) = 0.9898508816196991 absolute error = 3.186340080674199e-14 relative error = 3.219010196223166e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1421099298316883 y2[1] (numeric) = -0.1421099298314719 absolute error = 2.163547119238274e-13 relative error = 1.522446124490195e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 2.99999999999978 y1[1] (analytic) = 0.9899924966004144 y1[1] (numeric) = 0.9899924966004461 absolute error = 3.164135620181696e-14 relative error = 3.196120810053795e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1411200080600848 y2[1] (numeric) = -0.1411200080598684 absolute error = 2.164934898019055e-13 relative error = 1.534109108821258e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00099999999978 y1[1] (analytic) = 0.9901331215887474 y1[1] (numeric) = 0.9901331215887789 absolute error = 3.141931159689193e-14 relative error = 3.173241144228883e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1401299451684851 y2[1] (numeric) = -0.1401299451682685 absolute error = 2.166322676799837e-13 relative error = 1.545938431785697e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00199999999978 y1[1] (analytic) = 0.9902727564440414 y1[1] (numeric) = 0.9902727564440726 absolute error = 3.11972669919669e-14 relative error = 3.150371126435184e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1391397421469519 y2[1] (numeric) = -0.1391397421467351 absolute error = 2.167988011336774e-13 relative error = 1.558137148944161e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00299999999978 y1[1] (analytic) = 0.9904114010266614 y1[1] (numeric) = 0.9904114010266925 absolute error = 3.108624468950438e-14 relative error = 3.138720400156981e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1381493999856882 y2[1] (numeric) = -0.1381493999854712 absolute error = 2.169375790117556e-13 relative error = 1.57031140949023e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00399999999978 y1[1] (analytic) = 0.990549055197963 y1[1] (numeric) = 0.9905490551979937 absolute error = 3.075317778211684e-14 relative error = 3.104659746101192e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1371589196750359 y2[1] (numeric) = -0.1371589196748189 absolute error = 2.170763568898337e-13 relative error = 1.582663069993132e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00499999999978 y1[1] (analytic) = 0.9906857188202918 y1[1] (numeric) = 0.9906857188203224 absolute error = 3.064215547965432e-14 relative error = 3.093024851124632e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1361683022054755 y2[1] (numeric) = -0.1361683022052582 absolute error = 2.172151347679119e-13 relative error = 1.595196027634524e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.00599999999978 y1[1] (analytic) = 0.9908213917569845 y1[1] (numeric) = 0.9908213917570148 absolute error = 3.030908857226677e-14 relative error = 3.058986092187701e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1351775485676241 y2[1] (numeric) = -0.1351775485674068 absolute error = 2.1735391264599e-13 relative error = 1.60791429456391e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.006999999999779 y1[1] (analytic) = 0.9909560738723678 y1[1] (numeric) = 0.990956073872398 absolute error = 3.019806626980426e-14 relative error = 3.047366787086637e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1341866597522355 y2[1] (numeric) = -0.134186659752018 absolute error = 2.174926905240682e-13 relative error = 1.620822002169592e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.007999999999779 y1[1] (analytic) = 0.9910897650317599 y1[1] (numeric) = 0.9910897650317899 absolute error = 2.997602166487923e-14 relative error = 3.024551632204438e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1331956367501983 y2[1] (numeric) = -0.1331956367499806 absolute error = 2.176592239777619e-13 relative error = 1.634131787559759e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.008999999999779 y1[1] (analytic) = 0.9912224651014697 y1[1] (numeric) = 0.9912224651014994 absolute error = 2.964295475749168e-14 relative error = 2.990545089639104e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1322044805525354 y2[1] (numeric) = -0.1322044805523176 absolute error = 2.177702462802245e-13 relative error = 1.647222888135678e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.009999999999779 y1[1] (analytic) = 0.9913541739487969 y1[1] (numeric) = 0.9913541739488263 absolute error = 2.942091015256665e-14 relative error = 2.967749662603047e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.131213192150403 y2[1] (numeric) = -0.1312131921501851 absolute error = 2.179090241583026e-13 relative error = 1.660724966652168e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.010999999999779 y1[1] (analytic) = 0.9914848914420328 y1[1] (numeric) = 0.991484891442062 absolute error = 2.919886554764162e-14 relative error = 2.944963236421513e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1302217725350894 y2[1] (numeric) = -0.1302217725348714 absolute error = 2.180478020363807e-13 relative error = 1.674434296136046e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.011999999999779 y1[1] (analytic) = 0.9916146174504598 y1[1] (numeric) = 0.9916146174504888 absolute error = 2.90878432451791e-14 relative error = 2.933381853523585e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1292302226980142 y2[1] (numeric) = -0.129230222697796 absolute error = 2.181865799144589e-13 relative error = 1.688355675315351e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.012999999999779 y1[1] (analytic) = 0.991743351844352 y1[1] (numeric) = 0.9917433518443809 absolute error = 2.886579864025407e-14 relative error = 2.910611761255787e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1282385436307269 y2[1] (numeric) = -0.1282385436305086 absolute error = 2.18325357792537e-13 relative error = 1.70249405218779e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.013999999999779 y1[1] (analytic) = 0.991871094494975 y1[1] (numeric) = 0.9918710944950037 absolute error = 2.864375403532904e-14 relative error = 2.887850467092541e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1272467363249068 y2[1] (numeric) = -0.1272467363246883 absolute error = 2.184641356706152e-13 relative error = 1.7168545298702e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.014999999999779 y1[1] (analytic) = 0.9919978452745862 y1[1] (numeric) = 0.9919978452746147 absolute error = 2.842170943040401e-14 relative error = 2.865097899737559e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1262548017723609 y2[1] (numeric) = -0.1262548017721423 absolute error = 2.186029135486933e-13 relative error = 1.731442372725256e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.015999999999778 y1[1] (analytic) = 0.9921236040564347 y1[1] (numeric) = 0.992123604056463 absolute error = 2.831068712794149e-14 relative error = 2.853544358000286e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1252627409650237 y2[1] (numeric) = -0.125262740964805 absolute error = 2.187416914267715e-13 relative error = 1.746263012780865e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.016999999999778 y1[1] (analytic) = 0.992248370714762 y1[1] (numeric) = 0.99224837071479 absolute error = 2.797762022055394e-14 relative error = 2.819618660638403e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1242705548949561 y2[1] (numeric) = -0.1242705548947372 absolute error = 2.188804693048496e-13 relative error = 1.761322056458715e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.017999999999778 y1[1] (analytic) = 0.9923721451248011 y1[1] (numeric) = 0.992372145124829 absolute error = 2.786659791809143e-14 relative error = 2.808079414057608e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1232782445543439 y2[1] (numeric) = -0.1232782445541249 absolute error = 2.190192471829278e-13 relative error = 1.776625291629449e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.018999999999778 y1[1] (analytic) = 0.9924949271627779 y1[1] (numeric) = 0.9924949271628055 absolute error = 2.76445533131664e-14 relative error = 2.785359658431025e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1222858109354974 y2[1] (numeric) = -0.1222858109352782 absolute error = 2.191441472731981e-13 relative error = 1.792065208520316e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y1[1] (analytic) = 0.9926167167059102 y1[1] (numeric) = 0.9926167167059377 absolute error = 2.742250870824137e-14 relative error = 2.762648285759833e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1212932550308502 y2[1] (numeric) = -0.1212932550306309 absolute error = 2.192829251512762e-13 relative error = 1.807874024779886e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.020999999999778 y1[1] (analytic) = 0.9927375136324085 y1[1] (numeric) = 0.9927375136324358 absolute error = 2.731148640577885e-14 relative error = 2.751128675076115e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.120300577832958 y2[1] (numeric) = -0.1203005778327386 absolute error = 2.194078252415466e-13 relative error = 1.823830185971366e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.021999999999778 y1[1] (analytic) = 0.9928573178214759 y1[1] (numeric) = 0.992857317821503 absolute error = 2.708944180085382e-14 relative error = 2.728432506323605e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.119307780334498 y2[1] (numeric) = -0.1193077803342785 absolute error = 2.195466031196247e-13 relative error = 1.840170041753283e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.022999999999778 y1[1] (analytic) = 0.9929761291533082 y1[1] (numeric) = 0.9929761291533351 absolute error = 2.686739719592879e-14 relative error = 2.705744519642995e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1183148635282677 y2[1] (numeric) = -0.118314863528048 absolute error = 2.196853809977029e-13 relative error = 1.85678598991255e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.023999999999778 y1[1] (analytic) = 0.9930939475090941 y1[1] (numeric) = 0.9930939475091208 absolute error = 2.675637489346627e-14 relative error = 2.694244080389107e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1173218284071837 y2[1] (numeric) = -0.1173218284069639 absolute error = 2.19824158875781e-13 relative error = 1.873685075149417e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.024999999999777 y1[1] (analytic) = 0.9932107727710152 y1[1] (numeric) = 0.9932107727710417 absolute error = 2.653433028854124e-14 relative error = 2.671570930962781e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.116328675964281 y2[1] (numeric) = -0.1163286759640611 absolute error = 2.199490589660513e-13 relative error = 1.890755285769668e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.025999999999777 y1[1] (analytic) = 0.9933266048222464 y1[1] (numeric) = 0.9933266048222728 absolute error = 2.631228568361621e-14 relative error = 2.64890576330881e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1153354071927121 y2[1] (numeric) = -0.115335407192492 absolute error = 2.200739590563217e-13 relative error = 1.908121403591211e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.026999999999777 y1[1] (analytic) = 0.9934414435469555 y1[1] (numeric) = 0.9934414435469816 absolute error = 2.609024107869118e-14 relative error = 2.62624850696175e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1143420230857456 y2[1] (numeric) = -0.1143420230855254 absolute error = 2.202266147222076e-13 relative error = 1.926033918055295e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.027999999999777 y1[1] (analytic) = 0.9935552888303039 y1[1] (numeric) = 0.9935552888303297 absolute error = 2.586819647376615e-14 relative error = 2.603599091523165e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1133485246367655 y2[1] (numeric) = -0.1133485246365452 absolute error = 2.203653926002858e-13 relative error = 1.944139928653367e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.028999999999777 y1[1] (analytic) = 0.9936681405584462 y1[1] (numeric) = 0.9936681405584719 absolute error = 2.564615186884112e-14 relative error = 2.580957446661001e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1123549128392703 y2[1] (numeric) = -0.1123549128390498 absolute error = 2.204902926905561e-13 relative error = 1.962444606280628e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y1[1] (analytic) = 0.9937799986185307 y1[1] (numeric) = 0.9937799986185563 absolute error = 2.55351295663786e-14 relative error = 2.569495220458793e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1113611886868716 y2[1] (numeric) = -0.1113611886866509 absolute error = 2.206151927808264e-13 relative error = 1.981077926540083e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.030999999999777 y1[1] (analytic) = 0.9938908628986995 y1[1] (numeric) = 0.9938908628987249 absolute error = 2.531308496145357e-14 relative error = 2.5468676598583e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1103673531732934 y2[1] (numeric) = -0.1103673531730727 absolute error = 2.207539706589046e-13 relative error = 2.00017454719864e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.031999999999777 y1[1] (analytic) = 0.9940007332880882 y1[1] (numeric) = 0.9940007332881133 absolute error = 2.509104035652854e-14 relative error = 2.524247670676162e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1093734072923713 y2[1] (numeric) = -0.1093734072921504 absolute error = 2.208927485369827e-13 relative error = 2.019620253271471e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.032999999999777 y1[1] (analytic) = 0.9941096096768264 y1[1] (numeric) = 0.9941096096768514 absolute error = 2.498001805406602e-14 relative error = 2.512803197042501e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.108379352038051 y2[1] (numeric) = -0.10837935203783 absolute error = 2.21017648627253e-13 relative error = 2.039296641574824e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.033999999999776 y1[1] (analytic) = 0.9942174919560378 y1[1] (numeric) = 0.9942174919560626 absolute error = 2.475797344914099e-14 relative error = 2.490196928685272e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1073851884043877 y2[1] (numeric) = -0.1073851884041666 absolute error = 2.211564265053312e-13 relative error = 2.059468626832477e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.034999999999776 y1[1] (analytic) = 0.9943243800178401 y1[1] (numeric) = 0.9943243800178646 absolute error = 2.453592884421596e-14 relative error = 2.467598033126347e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.106390917385545 y2[1] (numeric) = -0.1063909173853237 absolute error = 2.212952043834093e-13 relative error = 2.080019703011566e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.035999999999776 y1[1] (analytic) = 0.9944302737553452 y1[1] (numeric) = 0.9944302737553695 absolute error = 2.431388423929093e-14 relative error = 2.445006440468923e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1053965399757937 y2[1] (numeric) = -0.1053965399755723 absolute error = 2.214201044736797e-13 relative error = 2.10082896957085e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.036999999999776 y1[1] (analytic) = 0.9945351730626595 y1[1] (numeric) = 0.9945351730626836 absolute error = 2.40918396343659e-14 relative error = 2.422422080877779e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1044020571695113 y2[1] (numeric) = -0.1044020571692897 absolute error = 2.215588823517578e-13 relative error = 2.122169700085757e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.037999999999776 y1[1] (analytic) = 0.9946390778348836 y1[1] (numeric) = 0.9946390778349075 absolute error = 2.386979502944087e-14 relative error = 2.399844884578665e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1034074699611803 y2[1] (numeric) = -0.1034074699609586 absolute error = 2.216976602298359e-13 relative error = 2.143923067773173e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.038999999999776 y1[1] (analytic) = 0.9947419879681126 y1[1] (numeric) = 0.9947419879681364 absolute error = 2.375877272697835e-14 relative error = 2.388435696326509e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.1024127793453881 y2[1] (numeric) = -0.1024127793451662 absolute error = 2.218364381079141e-13 relative error = 2.16610114016893e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y1[1] (analytic) = 0.9948439033594367 y1[1] (numeric) = 0.9948439033594603 absolute error = 2.353672812205332e-14 relative error = 2.36587147416528e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.101417986316825 y2[1] (numeric) = -0.101417986316603 absolute error = 2.219613381981844e-13 relative error = 2.188579622403345e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.040999999999776 y1[1] (analytic) = 0.9949448239069403 y1[1] (numeric) = 0.9949448239069636 absolute error = 2.331468351712829e-14 relative error = 2.343314217724798e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.100423091870284 y2[1] (numeric) = -0.1004230918700619 absolute error = 2.220862382884548e-13 relative error = 2.211505682132576e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.041999999999776 y1[1] (analytic) = 0.9950447495097029 y1[1] (numeric) = 0.995044749509726 absolute error = 2.309263891220326e-14 relative error = 2.320763857462882e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.09942809700065956 y2[1] (numeric) = -0.09942809700043735 absolute error = 2.222111383787251e-13 relative error = 2.234892802758269e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.042999999999775 y1[1] (analytic) = 0.995143680067799 y1[1] (numeric) = 0.9951436800678218 absolute error = 2.287059430727822e-14 relative error = 2.298220323895345e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.0984330027029464 y2[1] (numeric) = -0.09843300270272405 absolute error = 2.223499162568032e-13 relative error = 2.258896001860437e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.043999999999775 y1[1] (analytic) = 0.9952416154822978 y1[1] (numeric) = 0.9952416154823205 absolute error = 2.264854970235319e-14 relative error = 2.275683547595387e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.09743780997223873 y2[1] (numeric) = -0.09743780997201625 absolute error = 2.224886941348814e-13 relative error = 2.283391777773651e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.044999999999775 y1[1] (analytic) = 0.9953385556552641 y1[1] (numeric) = 0.9953385556552866 absolute error = 2.253752739989068e-14 relative error = 2.264307684238504e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.09644251980372921 y2[1] (numeric) = -0.0964425198035066 absolute error = 2.226135942251517e-13 relative error = 2.308251533433532e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.045999999999775 y1[1] (analytic) = 0.9954345004897577 y1[1] (numeric) = 0.99543450048978 absolute error = 2.231548279496565e-14 relative error = 2.241783139321205e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.09544713319270792 y2[1] (numeric) = -0.09544713319248518 absolute error = 2.22738494315422e-13 relative error = 2.333632104651196e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.046999999999775 y1[1] (analytic) = 0.9955294498898338 y1[1] (numeric) = 0.9955294498898558 absolute error = 2.19824158875781e-14 relative error = 2.208113068881156e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.0944516511345614 y2[1] (numeric) = -0.09445165113433852 absolute error = 2.228772721935002e-13 relative error = 2.359696940352859e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.047999999999775 y1[1] (analytic) = 0.9956234037605429 y1[1] (numeric) = 0.9956234037605648 absolute error = 2.187139358511558e-14 relative error = 2.196753662329122e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.09345607462477161 y2[1] (numeric) = -0.09345607462454861 absolute error = 2.230021722837705e-13 relative error = 2.386170970470669e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.048999999999775 y1[1] (analytic) = 0.9957163620079313 y1[1] (numeric) = 0.9957163620079529 absolute error = 2.153832667772804e-14 relative error = 2.163098599112553e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.09246040465891499 y2[1] (numeric) = -0.09246040465869185 absolute error = 2.231409501618487e-13 relative error = 2.413367657052899e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y1[1] (analytic) = 0.9958083245390407 y1[1] (numeric) = 0.995808324539062 absolute error = 2.131628207280301e-14 relative error = 2.140600911593133e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.0914646422326614 y2[1] (numeric) = -0.09146464223243814 absolute error = 2.23265850252119e-13 relative error = 2.441007200183332e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.050999999999775 y1[1] (analytic) = 0.9958992912619083 y1[1] (numeric) = 0.9958992912619296 absolute error = 2.120525977034049e-14 relative error = 2.12925744163059e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.09046878834177322 y2[1] (numeric) = -0.09046878834154981 absolute error = 2.234046281301971e-13 relative error = 2.469411077842875e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.051999999999774 y1[1] (analytic) = 0.9959892620855679 y1[1] (numeric) = 0.9959892620855888 absolute error = 2.087219286295294e-14 relative error = 2.095624286073855e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08947284398210423 y2[1] (numeric) = -0.08947284398188068 absolute error = 2.235434060082753e-13 relative error = 2.498449764858117e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.052999999999774 y1[1] (analytic) = 0.9960782369200483 y1[1] (numeric) = 0.996078236920069 absolute error = 2.076117056049043e-14 relative error = 2.084291152137365e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.0884768101495987 y2[1] (numeric) = -0.08847681014937503 absolute error = 2.236683060985456e-13 relative error = 2.527987906891782e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.053999999999774 y1[1] (analytic) = 0.9961662156763748 y1[1] (numeric) = 0.9961662156763953 absolute error = 2.05391259555654e-14 relative error = 2.061817157854504e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08748068784029041 y2[1] (numeric) = -0.0874806878400666 absolute error = 2.238070839766237e-13 relative error = 2.558359902075968e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.054999999999774 y1[1] (analytic) = 0.9962531982665687 y1[1] (numeric) = 0.9962531982665889 absolute error = 2.020605904817785e-14 relative error = 2.028205187530177e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08648447805030156 y2[1] (numeric) = -0.08648447805007763 absolute error = 2.239319840668941e-13 relative error = 2.589273695294196e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.055999999999774 y1[1] (analytic) = 0.9963391846036472 y1[1] (numeric) = 0.9963391846036672 absolute error = 1.998401444325282e-14 relative error = 2.005744103219491e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08548818177584187 y2[1] (numeric) = -0.0854881817756178 absolute error = 2.240707619449722e-13 relative error = 2.62107296342443e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.056999999999774 y1[1] (analytic) = 0.9964241746016242 y1[1] (numeric) = 0.996424174601644 absolute error = 1.976196983832779e-14 relative error = 1.983288878577111e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08449180001320754 y2[1] (numeric) = -0.08449180001298333 absolute error = 2.242095398230504e-13 relative error = 2.653624846292806e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.057999999999774 y1[1] (analytic) = 0.9965081681755097 y1[1] (numeric) = 0.9965081681755292 absolute error = 1.953992523340276e-14 relative error = 1.960839444916752e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08349533375878022 y2[1] (numeric) = -0.08349533375855589 absolute error = 2.243344399133207e-13 relative error = 2.68679014520054e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.058999999999774 y1[1] (analytic) = 0.99659116524131 y1[1] (numeric) = 0.9965911652413293 absolute error = 1.931788062847772e-14 relative error = 1.938395733600566e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.0824987840090261 y2[1] (numeric) = -0.08249878400880165 absolute error = 2.24459340003591e-13 relative error = 2.720759374817369e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y1[1] (analytic) = 0.9966731657160282 y1[1] (numeric) = 0.9966731657160472 absolute error = 1.909583602355269e-14 relative error = 1.915957676038553e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08150215176049486 y2[1] (numeric) = -0.08150215176027027 absolute error = 2.245842400938614e-13 relative error = 2.755562095511695e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.060999999999773 y1[1] (analytic) = 0.9967541695176636 y1[1] (numeric) = 0.9967541695176825 absolute error = 1.887379141862766e-14 relative error = 1.893525203687969e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.08050543800981864 y2[1] (numeric) = -0.08050543800959392 absolute error = 2.247230179719395e-13 relative error = 2.791401718037131e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.061999999999773 y1[1] (analytic) = 0.9968341765652126 y1[1] (numeric) = 0.9968341765652313 absolute error = 1.876276911616515e-14 relative error = 1.88223573762448e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07950864375371113 y2[1] (numeric) = -0.07950864375348628 absolute error = 2.248479180622098e-13 relative error = 2.827968223916722e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.062999999999773 y1[1] (analytic) = 0.9969131867786681 y1[1] (numeric) = 0.9969131867786866 absolute error = 1.84297022087776e-14 relative error = 1.848676740682869e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07851176998896647 y2[1] (numeric) = -0.0785117699887415 absolute error = 2.249728181524802e-13 relative error = 2.865466135639234e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.063999999999773 y1[1] (analytic) = 0.99699120007902 y1[1] (numeric) = 0.9969912000790382 absolute error = 1.820765760385257e-14 relative error = 1.826260613173863e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07751481771245838 y2[1] (numeric) = -0.07751481771223329 absolute error = 2.250977182427505e-13 relative error = 2.903931466081126e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.064999999999773 y1[1] (analytic) = 0.9970682163882547 y1[1] (numeric) = 0.9970682163882728 absolute error = 1.809663530139005e-14 relative error = 1.814984672457284e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07651778792113904 y2[1] (numeric) = -0.07651778792091381 absolute error = 2.252364961208286e-13 relative error = 2.943583475687542e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.065999999999773 y1[1] (analytic) = 0.9971442356293563 y1[1] (numeric) = 0.9971442356293742 absolute error = 1.787459069646502e-14 relative error = 1.792578250746575e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07552068161203815 y2[1] (numeric) = -0.07552068161181279 absolute error = 2.25361396211099e-13 relative error = 2.984101724198102e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.066999999999773 y1[1] (analytic) = 0.9972192577263053 y1[1] (numeric) = 0.9972192577263229 absolute error = 1.765254609153999e-14 relative error = 1.770177015212122e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07452349978226194 y2[1] (numeric) = -0.07452349978203646 absolute error = 2.254862963013693e-13 relative error = 3.025707286428857e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.067999999999773 y1[1] (analytic) = 0.9972932826040796 y1[1] (numeric) = 0.9972932826040971 absolute error = 1.754152378907747e-14 relative error = 1.758913260026576e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07352624342899217 y2[1] (numeric) = -0.07352624342876656 absolute error = 2.256111963916396e-13 relative error = 3.068444488253004e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.068999999999773 y1[1] (analytic) = 0.9973663101886545 y1[1] (numeric) = 0.9973663101886717 absolute error = 1.720845688168993e-14 relative error = 1.725389829784295e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07252891354948508 y2[1] (numeric) = -0.07252891354925935 absolute error = 2.2573609648191e-13 relative error = 3.112360097988984e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.069999999999772 y1[1] (analytic) = 0.9974383404070023 y1[1] (numeric) = 0.9974383404070193 absolute error = 1.69864122767649e-14 relative error = 1.703003743553073e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07153151114107049 y2[1] (numeric) = -0.07153151114084463 absolute error = 2.258609965721803e-13 relative error = 3.157503496979809e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.070999999999772 y1[1] (analytic) = 0.9975093731870928 y1[1] (numeric) = 0.9975093731871095 absolute error = 1.676436767183986e-14 relative error = 1.680622570821251e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.07053403720115073 y2[1] (numeric) = -0.07053403720092474 absolute error = 2.259858966624506e-13 relative error = 3.203926864670718e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.071999999999772 y1[1] (analytic) = 0.9975794084578932 y1[1] (numeric) = 0.9975794084579097 absolute error = 1.654232306691483e-14 relative error = 1.658246243523286e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06953649272719964 y2[1] (numeric) = -0.06953649272697353 absolute error = 2.261107967527209e-13 relative error = 3.25168537964349e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.072999999999772 y1[1] (analytic) = 0.9976484461493683 y1[1] (numeric) = 0.9976484461493846 absolute error = 1.63202784619898e-14 relative error = 1.635874693633946e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06853887871676161 y2[1] (numeric) = -0.06853887871653538 absolute error = 2.262218190551835e-13 relative error = 3.300634957715752e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.073999999999772 y1[1] (analytic) = 0.9977164861924804 y1[1] (numeric) = 0.9977164861924965 absolute error = 1.609823385706477e-14 relative error = 1.613507853167727e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06754119616745058 y2[1] (numeric) = -0.06754119616722423 absolute error = 2.263467191454538e-13 relative error = 3.351239421112513e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.074999999999772 y1[1] (analytic) = 0.9977835285191895 y1[1] (numeric) = 0.9977835285192054 absolute error = 1.587618925213974e-14 relative error = 1.591145654178276e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06654344607694902 y2[1] (numeric) = -0.06654344607672254 absolute error = 2.264854970235319e-13 relative error = 3.403573310009077e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.075999999999772 y1[1] (analytic) = 0.9978495730624531 y1[1] (numeric) = 0.9978495730624688 absolute error = 1.565414464721471e-14 relative error = 1.568788028757813e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06554562944300692 y2[1] (numeric) = -0.06554562944278031 absolute error = 2.266103971138023e-13 relative error = 3.457292256394364e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.076999999999772 y1[1] (analytic) = 0.997914619756227 y1[1] (numeric) = 0.9979146197562424 absolute error = 1.543210004228968e-14 relative error = 1.546434909036553e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06454774726344084 y2[1] (numeric) = -0.06454774726321411 absolute error = 2.267352972040726e-13 relative error = 3.512675605527957e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.077999999999772 y1[1] (analytic) = 0.9979786685354641 y1[1] (numeric) = 0.9979786685354793 absolute error = 1.521005543736464e-14 relative error = 1.524086227182133e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06354980053613288 y2[1] (numeric) = -0.06354980053590602 absolute error = 2.268601972943429e-13 relative error = 3.56980187790449e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.078999999999771 y1[1] (analytic) = 0.998041719336116 y1[1] (numeric) = 0.998041719336131 absolute error = 1.498801083243961e-14 relative error = 1.501741915399031e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06255179025902967 y2[1] (numeric) = -0.06255179025880268 absolute error = 2.269850973846133e-13 relative error = 3.628754611892931e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.079999999999771 y1[1] (analytic) = 0.9981037720951316 y1[1] (numeric) = 0.9981037720951463 absolute error = 1.476596622751458e-14 relative error = 1.479401905927994e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06155371743014142 y2[1] (numeric) = -0.06155371742991431 absolute error = 2.271099974748836e-13 relative error = 3.689622771080161e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.080999999999771 y1[1] (analytic) = 0.9981648267504583 y1[1] (numeric) = 0.9981648267504728 absolute error = 1.454392162258955e-14 relative error = 1.457066131045463e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.06055558304754086 y2[1] (numeric) = -0.06055558304731363 absolute error = 2.272348975651539e-13 relative error = 3.752501191950489e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.081999999999771 y1[1] (analytic) = 0.9982248832410414 y1[1] (numeric) = 0.9982248832410557 absolute error = 1.432187701766452e-14 relative error = 1.434734523062998e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05955738810936231 y2[1] (numeric) = -0.05955738810913495 absolute error = 2.273597976554242e-13 relative error = 3.817491076639133e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.082999999999771 y1[1] (analytic) = 0.9982839415068245 y1[1] (numeric) = 0.9982839415068386 absolute error = 1.409983241273949e-14 relative error = 1.412407014326705e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05855913361380061 y2[1] (numeric) = -0.05855913361357313 absolute error = 2.274846977456946e-13 relative error = 3.884700536144601e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.083999999999771 y1[1] (analytic) = 0.9983420014887493 y1[1] (numeric) = 0.9983420014887632 absolute error = 1.387778780781446e-14 relative error = 1.390083537216665e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05756082055911018 y2[1] (numeric) = -0.05756082055888257 absolute error = 2.276095978359649e-13 relative error = 3.954245190132909e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.084999999999771 y1[1] (analytic) = 0.9983990631287558 y1[1] (numeric) = 0.9983990631287695 absolute error = 1.365574320288943e-14 relative error = 1.36776402414636e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05656244994360399 y2[1] (numeric) = -0.05656244994337625 absolute error = 2.277344979262352e-13 relative error = 4.026248830333545e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.085999999999771 y1[1] (analytic) = 0.9984551263697824 y1[1] (numeric) = 0.9984551263697958 absolute error = 1.343369859796439e-14 relative error = 1.3454484075621e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05556402276565256 y2[1] (numeric) = -0.0555640227654247 absolute error = 2.278593980165056e-13 relative error = 4.10084415553438e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.086999999999771 y1[1] (analytic) = 0.9985101911557658 y1[1] (numeric) = 0.998510191155779 absolute error = 1.321165399303936e-14 relative error = 1.323136619942457e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.054565540023683 y2[1] (numeric) = -0.05456554002345502 absolute error = 2.279842981067759e-13 relative error = 4.178173587356126e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.08799999999977 y1[1] (analytic) = 0.9985642574316412 y1[1] (numeric) = 0.9985642574316542 absolute error = 1.298960938811433e-14 relative error = 1.300828593797687e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05356700271617796 y2[1] (numeric) = -0.05356700271594986 absolute error = 2.281022593031423e-13 relative error = 4.258260640636e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.08899999999977 y1[1] (analytic) = 0.9986173251433424 y1[1] (numeric) = 0.9986173251433552 absolute error = 1.27675647831893e-14 relative error = 1.278524261669167e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05256841184167468 y2[1] (numeric) = -0.05256841184144644 absolute error = 2.282340982873166e-13 relative error = 4.341658617625944e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.08999999999977 y1[1] (analytic) = 0.9986693942378018 y1[1] (numeric) = 0.9986693942378143 absolute error = 1.254552017826427e-14 relative error = 1.256223556128821e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05156976839876393 y2[1] (numeric) = -0.05156976839853557 absolute error = 2.283589983775869e-13 relative error = 4.428156368898108e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09099999999977 y1[1] (analytic) = 0.9987204646629501 y1[1] (numeric) = 0.9987204646629624 absolute error = 1.232347557333924e-14 relative error = 1.233926409778555e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.05057107338608907 y2[1] (numeric) = -0.05057107338586059 absolute error = 2.284769595739533e-13 relative error = 4.51793771173546e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09199999999977 y1[1] (analytic) = 0.9987705363677168 y1[1] (numeric) = 0.9987705363677291 absolute error = 1.221245327087672e-14 relative error = 1.222748652086836e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04957232780234505 y2[1] (numeric) = -0.04957232780211645 absolute error = 2.286018596642236e-13 relative error = 4.611481239608229e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09299999999977 y1[1] (analytic) = 0.9988196093020306 y1[1] (numeric) = 0.9988196093020425 absolute error = 1.187938636348917e-14 relative error = 1.189342525202366e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04857353264627735 y2[1] (numeric) = -0.04857353264604863 absolute error = 2.287198208605901e-13 relative error = 4.708733509793816e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09399999999977 y1[1] (analytic) = 0.9988676834168182 y1[1] (numeric) = 0.99886768341683 absolute error = 1.176836406102666e-14 relative error = 1.178170468061467e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04757468891668106 y2[1] (numeric) = -0.04757468891645222 absolute error = 2.288447209508604e-13 relative error = 4.810220017447573e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09499999999977 y1[1] (analytic) = 0.9989147586640057 y1[1] (numeric) = 0.9989147586640172 absolute error = 1.154631945610163e-14 relative error = 1.155886361269124e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04657579761239981 y2[1] (numeric) = -0.04657579761217085 absolute error = 2.289626821472268e-13 relative error = 4.915915429997282e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.09599999999977 y1[1] (analytic) = 0.9989608349965178 y1[1] (numeric) = 0.9989608349965291 absolute error = 1.13242748511766e-14 relative error = 1.133605488268824e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04557685973232484 y2[1] (numeric) = -0.04557685973209576 absolute error = 2.290806433435932e-13 relative error = 5.02624894933515e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.096999999999769 y1[1] (analytic) = 0.9990059123682781 y1[1] (numeric) = 0.9990059123682892 absolute error = 1.110223024625157e-14 relative error = 1.111327781827861e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04457787627539393 y2[1] (numeric) = -0.04457787627516473 absolute error = 2.291986045399597e-13 relative error = 5.141532609674199e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.097999999999769 y1[1] (analytic) = 0.9990499907342093 y1[1] (numeric) = 0.9990499907342202 absolute error = 1.088018564132653e-14 relative error = 1.089053174739595e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04357884824059045 y2[1] (numeric) = -0.04357884824036114 absolute error = 2.293165657363261e-13 relative error = 5.262107077046033e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.098999999999769 y1[1] (analytic) = 0.999093070050233 y1[1] (numeric) = 0.9990930700502436 absolute error = 1.06581410364015e-14 relative error = 1.06678159982289e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04257977662694237 y2[1] (numeric) = -0.04257977662671294 absolute error = 2.294345269326925e-13 relative error = 5.388345010422571e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.099999999999769 y1[1] (analytic) = 0.9991351502732698 y1[1] (numeric) = 0.9991351502732803 absolute error = 1.043609643147647e-14 relative error = 1.044512989921547e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04158066243352122 y2[1] (numeric) = -0.04158066243329166 absolute error = 2.295594270229628e-13 relative error = 5.5208217856072e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.100999999999769 y1[1] (analytic) = 0.9991762313612398 y1[1] (numeric) = 0.9991762313612499 absolute error = 1.010302952408892e-14 relative error = 1.011135894448264e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = -0.04058150665944109 y2[1] (numeric) = -0.04058150665921141 absolute error = 2.296773882193293e-13 relative error = 5.659656506762446e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.101999999999769 y1[1] (analytic) = 0.9992163132730616 y1[1] (numeric) = 0.9992163132730715 absolute error = 9.880984919163893e-15 relative error = 9.888734589207673e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03958231030385768 y2[1] (numeric) = -0.03958231030362789 absolute error = 2.297953494156957e-13 relative error = 5.805506238813449e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.102999999999769 y1[1] (analytic) = 0.9992553959686534 y1[1] (numeric) = 0.9992553959686631 absolute error = 9.658940314238862e-15 relative error = 9.66613775938205e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03858307436596727 y2[1] (numeric) = -0.03858307436573736 absolute error = 2.299133106120621e-13 relative error = 5.95891629659404e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.103999999999769 y1[1] (analytic) = 0.9992934794089324 y1[1] (numeric) = 0.999293479408942 absolute error = 9.547918011776346e-15 relative error = 9.554668581870263e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03758379984500571 y2[1] (numeric) = -0.03758379984477568 absolute error = 2.300312718084285e-13 relative error = 6.12049001849386e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.104999999999769 y1[1] (analytic) = 0.9993305635558154 y1[1] (numeric) = 0.9993305635558247 absolute error = 9.325873406851315e-15 relative error = 9.332120668528356e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03658448774024744 y2[1] (numeric) = -0.03658448774001729 absolute error = 2.30149233004795e-13 relative error = 6.290896694765046e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.105999999999769 y1[1] (analytic) = 0.9993666483722181 y1[1] (numeric) = 0.9993666483722272 absolute error = 9.103828801926284e-15 relative error = 9.109598380889258e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03558513905100447 y2[1] (numeric) = -0.03558513905077421 absolute error = 2.302671942011614e-13 relative error = 6.470880832336148e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.106999999999768 y1[1] (analytic) = 0.9994017338220558 y1[1] (numeric) = 0.9994017338220645 absolute error = 8.770761894538737e-15 relative error = 8.776012285866594e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03458575477662542 y2[1] (numeric) = -0.03458575477639503 absolute error = 2.303851553975278e-13 relative error = 6.661273026582385e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.107999999999768 y1[1] (analytic) = 0.9994358198702428 y1[1] (numeric) = 0.9994358198702514 absolute error = 8.659739592076221e-15 relative error = 8.664628003027267e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03358633591649448 y2[1] (numeric) = -0.03358633591626397 absolute error = 2.305100554877981e-13 relative error = 6.863209373624857e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.108999999999768 y1[1] (analytic) = 0.9994689064826933 y1[1] (numeric) = 0.9994689064827017 absolute error = 8.43769498715119e-15 relative error = 8.442178573463502e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03258688347003041 y2[1] (numeric) = -0.03258688346979979 absolute error = 2.306280166841645e-13 relative error = 7.077326584368496e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.109999999999768 y1[1] (analytic) = 0.9995009936263205 y1[1] (numeric) = 0.9995009936263287 absolute error = 8.215650382226158e-15 relative error = 8.219752090909587e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03158739843668559 y2[1] (numeric) = -0.03158739843645485 absolute error = 2.30745977880531e-13 relative error = 7.30500102257686e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.110999999999768 y1[1] (analytic) = 0.9995320812690375 y1[1] (numeric) = 0.9995320812690455 absolute error = 7.993605777301127e-15 relative error = 7.997347886175092e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.03058788181594498 y2[1] (numeric) = -0.03058788181571411 absolute error = 2.308674085238493e-13 relative error = 7.547675576656041e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.111999999999768 y1[1] (analytic) = 0.9995621693797565 y1[1] (numeric) = 0.9995621693797642 absolute error = 7.66053886991358e-15 relative error = 7.66389435753362e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02958833460732509 y2[1] (numeric) = -0.0295883346070941 absolute error = 2.309853697202158e-13 relative error = 7.806636391864768e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.112999999999768 y1[1] (analytic) = 0.9995912579283893 y1[1] (numeric) = 0.9995912579283969 absolute error = 7.549516567451064e-15 relative error = 7.552603634306605e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02858875781037306 y2[1] (numeric) = -0.02858875781014195 absolute error = 2.311033309165822e-13 relative error = 8.083713620909033e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.113999999999768 y1[1] (analytic) = 0.9996193468858476 y1[1] (numeric) = 0.9996193468858549 absolute error = 7.216449660063518e-15 relative error = 7.219197670138337e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.0275891524246656 y2[1] (numeric) = -0.02758915242443438 absolute error = 2.312212921129486e-13 relative error = 8.380876967653029e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.114999999999768 y1[1] (analytic) = 0.9996464362240423 y1[1] (numeric) = 0.9996464362240493 absolute error = 6.994405055138486e-15 relative error = 6.996878898061604e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02658951944980801 y2[1] (numeric) = -0.02658951944957667 absolute error = 2.31339253309315e-13 relative error = 8.700392413860846e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.115999999999767 y1[1] (analytic) = 0.9996725259158841 y1[1] (numeric) = 0.9996725259158907 absolute error = 6.661338147750939e-15 relative error = 6.663520277950949e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.0255898598854332 y2[1] (numeric) = -0.02558985988520174 absolute error = 2.314572145056815e-13 relative error = 9.044880102584558e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.116999999999767 y1[1] (analytic) = 0.9996976159352832 y1[1] (numeric) = 0.9996976159352896 absolute error = 6.439293542825908e-15 relative error = 6.441241271543419e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02459017473120062 y2[1] (numeric) = -0.02459017473096905 absolute error = 2.315751757020479e-13 relative error = 9.417386343669187e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.117999999999767 y1[1] (analytic) = 0.9997217062571497 y1[1] (numeric) = 0.999721706257156 absolute error = 6.217248937900877e-15 relative error = 6.218979641021886e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02359046498679537 y2[1] (numeric) = -0.02359046498656368 absolute error = 2.316896674514624e-13 relative error = 9.821326861558233e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.118999999999767 y1[1] (analytic) = 0.9997447968573933 y1[1] (numeric) = 0.9997447968573993 absolute error = 5.995204332975845e-15 relative error = 5.996734718521391e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02259073165192709 y2[1] (numeric) = -0.02259073165169529 absolute error = 2.318041592008768e-13 relative error = 1.026102929167869e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y1[1] (analytic) = 0.9997668877129233 y1[1] (numeric) = 0.9997668877129291 absolute error = 5.773159728050814e-15 relative error = 5.774505836313054e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02159097572632905 y2[1] (numeric) = -0.02159097572609713 absolute error = 2.319186509502913e-13 relative error = 1.074146226135944e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.120999999999767 y1[1] (analytic) = 0.9997879788016489 y1[1] (numeric) = 0.9997879788016545 absolute error = 5.551115123125783e-15 relative error = 5.552292326798506e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.02059119820975708 y2[1] (numeric) = -0.02059119820952504 absolute error = 2.320366121466577e-13 relative error = 1.126872801587174e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.121999999999767 y1[1] (analytic) = 0.9998080701024791 y1[1] (numeric) = 0.9998080701024844 absolute error = 5.329070518200751e-15 relative error = 5.330093522504303e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01959140010198862 y2[1] (numeric) = -0.01959140010175647 absolute error = 2.321511038960722e-13 relative error = 1.184964334797633e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.122999999999767 y1[1] (analytic) = 0.9998271615953225 y1[1] (numeric) = 0.9998271615953276 absolute error = 5.10702591327572e-15 relative error = 5.107908756076358e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01859158240282168 y2[1] (numeric) = -0.01859158240258942 absolute error = 2.322690650924386e-13 relative error = 1.249323807193446e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.123999999999767 y1[1] (analytic) = 0.9998452532610875 y1[1] (numeric) = 0.9998452532610924 absolute error = 4.884981308350689e-15 relative error = 4.885737360274374e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.0175917461120739 y2[1] (numeric) = -0.01759174611184151 absolute error = 2.323835568418531e-13 relative error = 1.320980619896278e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.124999999999766 y1[1] (analytic) = 0.9998623450816827 y1[1] (numeric) = 0.9998623450816874 absolute error = 4.662936703425657e-15 relative error = 4.663578667966262e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01659189222958146 y2[1] (numeric) = -0.01659189222934896 absolute error = 2.324980485912675e-13 relative error = 1.401275064797913e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.125999999999766 y1[1] (analytic) = 0.9998784370400161 y1[1] (numeric) = 0.9998784370400206 absolute error = 4.440892098500626e-15 relative error = 4.441432012122587e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01559202175519818 y2[1] (numeric) = -0.01559202175496557 absolute error = 2.32614275064158e-13 relative error = 1.491880134060276e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.126999999999766 y1[1] (analytic) = 0.9998935291199957 y1[1] (numeric) = 0.99989352912 absolute error = 4.218847493575595e-15 relative error = 4.219296725810991e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01459213568879445 y2[1] (numeric) = -0.01459213568856172 absolute error = 2.327287668135725e-13 relative error = 1.594891740160345e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.127999999999766 y1[1] (analytic) = 0.9999076213065297 y1[1] (numeric) = 0.9999076213065335 absolute error = 3.885780586188048e-15 relative error = 3.88613958268534e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01359223503025624 y2[1] (numeric) = -0.01359223503002339 absolute error = 2.328432585629869e-13 relative error = 1.713060861916228e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.128999999999766 y1[1] (analytic) = 0.9999207135855255 y1[1] (numeric) = 0.9999207135855293 absolute error = 3.774758283725532e-15 relative error = 3.775057594506635e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01259232077948413 y2[1] (numeric) = -0.01259232077925117 absolute error = 2.329577503124014e-13 relative error = 1.849998537933886e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y1[1] (analytic) = 0.9999328059438911 y1[1] (numeric) = 0.9999328059438947 absolute error = 3.552713678800501e-15 relative error = 3.552952416084499e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01159239393639229 y2[1] (numeric) = -0.01159239393615922 absolute error = 2.330705073383399e-13 relative error = 2.010546817311442e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.130999999999766 y1[1] (analytic) = 0.9999438983695341 y1[1] (numeric) = 0.9999438983695375 absolute error = 3.33066907387547e-15 relative error = 3.330855940324569e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.01059245550090749 y2[1] (numeric) = -0.0105924555006743 absolute error = 2.331849990877544e-13 relative error = 2.201425335870202e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.131999999999766 y1[1] (analytic) = 0.9999539908513622 y1[1] (numeric) = 0.9999539908513652 absolute error = 2.997602166487923e-15 relative error = 2.997740089957299e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.009592506472968063 y2[1] (numeric) = -0.009592506472734765 absolute error = 2.332977561136929e-13 relative error = 2.432083384787199e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.132999999999766 y1[1] (analytic) = 0.9999630833792826 y1[1] (numeric) = 0.9999630833792854 absolute error = 2.775557561562891e-15 relative error = 2.775660029551442e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.008592547852522964 y2[1] (numeric) = -0.008592547852289554 absolute error = 2.334105131396313e-13 relative error = 2.716429598598008e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.133999999999765 y1[1] (analytic) = 0.999971175944203 y1[1] (numeric) = 0.9999711759442056 absolute error = 2.55351295663786e-15 relative error = 2.553586561359387e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.007592580639530729 y2[1] (numeric) = -0.007592580639297205 absolute error = 2.335241375273078e-13 relative error = 3.075688604628915e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.134999999999765 y1[1] (analytic) = 0.9999782685380308 y1[1] (numeric) = 0.9999782685380332 absolute error = 2.331468351712829e-15 relative error = 2.331519019029721e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.006592605833958487 y2[1] (numeric) = -0.00659260583372485 absolute error = 2.336368945532463e-13 relative error = 3.54392330495149e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.135999999999765 y1[1] (analytic) = 0.9999843611536734 y1[1] (numeric) = 0.9999843611536755 absolute error = 2.109423746787797e-15 relative error = 2.109456736257528e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.005592624435780961 y2[1] (numeric) = -0.00559262443554721 absolute error = 2.337505189409228e-13 relative error = 4.179621242674801e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.136999999999765 y1[1] (analytic) = 0.9999894537850381 y1[1] (numeric) = 0.99998945378504 absolute error = 1.887379141862766e-15 relative error = 1.887399046778832e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.004592637444979465 y2[1] (numeric) = -0.004592637444745602 absolute error = 2.338632759668613e-13 relative error = 5.092134503726474e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.137999999999765 y1[1] (analytic) = 0.9999935464270324 y1[1] (numeric) = 0.9999935464270341 absolute error = 1.665334536937735e-15 relative error = 1.665345284365044e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.003592645861540906 y2[1] (numeric) = -0.003592645861306931 absolute error = 2.339755993119308e-13 relative error = 6.512626301874834e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.138999999999765 y1[1] (analytic) = 0.9999966390755637 y1[1] (numeric) = 0.999996639075565 absolute error = 1.332267629550188e-15 relative error = 1.332272107216069e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.002592650685456785 y2[1] (numeric) = -0.002592650685222697 absolute error = 2.340879226570003e-13 relative error = 9.028903275327181e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y1[1] (analytic) = 0.9999987317275392 y1[1] (numeric) = 0.9999987317275403 absolute error = 1.110223024625157e-15 relative error = 1.11022443269223e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = -0.001592652916722195 y2[1] (numeric) = -0.001592652916487995 absolute error = 2.341998123212008e-13 relative error = 1.470501261525345e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.140999999999765 y1[1] (analytic) = 0.9999998243808662 y1[1] (numeric) = 0.9999998243808671 absolute error = 8.881784197001252e-16 relative error = 8.881785756812774e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = -0.000592653555334821 y2[1] (numeric) = -0.0005926535551005095 absolute error = 2.343115935651841e-13 relative error = 3.953601416139471e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.141999999999765 y1[1] (analytic) = 0.9999999170344522 y1[1] (numeric) = 0.9999999170344529 absolute error = 6.661338147750939e-16 relative error = 6.661338700412554e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.0004073463987060589 y2[1] (numeric) = 0.000407346398940482 absolute error = 2.344231037586242e-13 relative error = 5.754883423623535e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.142999999999764 y1[1] (analytic) = 0.9999990096882047 y1[1] (numeric) = 0.999999009688205 absolute error = 3.33066907387547e-16 relative error = 3.330672372279607e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.001407345945400574 y2[1] (numeric) = 0.001407345945635109 absolute error = 2.345343971116298e-13 relative error = 1.666501387793987e-08 % Correct digits = 9 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.143999999999764 y1[1] (analytic) = 0.9999971023430306 y1[1] (numeric) = 0.9999971023430307 absolute error = 1.110223024625157e-16 relative error = 1.110226241679963e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.002407344084749261 y2[1] (numeric) = 0.002407344084983907 absolute error = 2.346452025736578e-13 relative error = 9.747057101648079e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.144999999999764 y1[1] (analytic) = 0.9999941950008375 y1[1] (numeric) = 0.9999941950008375 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 y2[1] (analytic) = 0.003407339816754064 y2[1] (numeric) = 0.003407339816988821 absolute error = 2.347566585569894e-13 relative error = 6.889734255523292e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.145999999999764 y1[1] (analytic) = 0.9999902876645329 y1[1] (numeric) = 0.9999902876645326 absolute error = 3.33066907387547e-16 relative error = 3.330701422765028e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.004407332141419334 y2[1] (numeric) = 0.004407332141654202 absolute error = 2.348676808594519e-13 relative error = 5.329021578659947e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.146999999999764 y1[1] (analytic) = 0.9999853803380239 y1[1] (numeric) = 0.9999853803380233 absolute error = 5.551115123125783e-16 relative error = 5.551196279738955e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.005407320058752831 y2[1] (numeric) = 0.005407320058987809 absolute error = 2.349778358001764e-13 relative error = 4.345550721004903e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.147999999999764 y1[1] (analytic) = 0.9999794730262178 y1[1] (numeric) = 0.999979473026217 absolute error = 7.771561172376096e-16 relative error = 7.771720702283194e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.006407302568766719 y2[1] (numeric) = 0.006407302569001807 absolute error = 2.350879907409009e-13 relative error = 3.66906335728345e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.148999999999764 y1[1] (analytic) = 0.9999725657350221 y1[1] (numeric) = 0.999972565735021 absolute error = 1.110223024625157e-15 relative error = 1.110253483613419e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.007407278671478571 y2[1] (numeric) = 0.00740727867171377 absolute error = 2.351990130433634e-13 relative error = 3.175241859726269e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y1[1] (analytic) = 0.999964658471344 y1[1] (numeric) = 0.9999646584713426 absolute error = 1.332267629550188e-15 relative error = 1.332314715588888e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.00840724736691237 y2[1] (numeric) = 0.00840724736714768 absolute error = 2.35310035345826e-13 relative error = 2.798895108902279e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.150999999999764 y1[1] (analytic) = 0.9999557512430907 y1[1] (numeric) = 0.9999557512430891 absolute error = 1.554312234475219e-15 relative error = 1.554381013902848e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.009407207655099503 y2[1] (numeric) = 0.009407207655334923 absolute error = 2.354193229248125e-13 relative error = 2.502542003494473e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.151999999999763 y1[1] (analytic) = 0.9999458440591695 y1[1] (numeric) = 0.9999458440591676 absolute error = 1.887379141862766e-15 relative error = 1.887481360191627e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01040715853607977 y2[1] (numeric) = 0.01040715853631529 absolute error = 2.35528610503799e-13 relative error = 2.263140411354966e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.152999999999763 y1[1] (analytic) = 0.9999349369294875 y1[1] (numeric) = 0.9999349369294855 absolute error = 1.998401444325282e-15 relative error = 1.998531474919556e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01140709900990236 y2[1] (numeric) = 0.011407099010138 absolute error = 2.356378980827856e-13 relative error = 2.065712745004066e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.153999999999763 y1[1] (analytic) = 0.9999230298649521 y1[1] (numeric) = 0.9999230298649497 absolute error = 2.331468351712829e-15 relative error = 2.331647818960338e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01240702807662689 y2[1] (numeric) = 0.01240702807686264 absolute error = 2.357454509382961e-13 relative error = 1.900096054287228e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.154999999999763 y1[1] (analytic) = 0.9999101228774699 y1[1] (numeric) = 0.9999101228774675 absolute error = 2.442490654175344e-15 relative error = 2.44271019793911e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01340694473632438 y2[1] (numeric) = 0.01340694473656024 absolute error = 2.358547385172827e-13 relative error = 1.759198259975405e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.155999999999763 y1[1] (analytic) = 0.9998962159799484 y1[1] (numeric) = 0.9998962159799456 absolute error = 2.775557561562891e-15 relative error = 2.77584564998349e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01440684798907825 y2[1] (numeric) = 0.01440684798931421 absolute error = 2.359622913727932e-13 relative error = 1.637848136883757e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.156999999999763 y1[1] (analytic) = 0.9998813091862941 y1[1] (numeric) = 0.9998813091862911 absolute error = 2.997602166487923e-15 relative error = 2.997957996561991e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01540673683498534 y2[1] (numeric) = 0.0154067368352214 absolute error = 2.360698442283038e-13 relative error = 1.532250772871259e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.157999999999763 y1[1] (analytic) = 0.999865402511414 y1[1] (numeric) = 0.9998654025114108 absolute error = 3.219646771412954e-15 relative error = 3.220080186119051e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01640661027415687 y2[1] (numeric) = 0.01640661027439305 absolute error = 2.361791318072903e-13 relative error = 1.439536429894429e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.158999999999763 y1[1] (analytic) = 0.9998484959712147 y1[1] (numeric) = 0.9998484959712112 absolute error = 3.552713678800501e-15 relative error = 3.553252010795426e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01740646730671949 y2[1] (numeric) = 0.01740646730695578 absolute error = 2.362866846628009e-13 relative error = 1.357464903700397e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y1[1] (analytic) = 0.9998305895826027 y1[1] (numeric) = 0.999830589582599 absolute error = 3.774758283725532e-15 relative error = 3.775397875455454e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01840630693281626 y2[1] (numeric) = 0.01840630693305266 absolute error = 2.363942375183115e-13 relative error = 1.284311070010729e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.160999999999762 y1[1] (analytic) = 0.9998116833634845 y1[1] (numeric) = 0.9998116833634805 absolute error = 3.996802888650564e-15 relative error = 3.997555694893309e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.01940612815260763 y2[1] (numeric) = 0.01940612815284413 absolute error = 2.36505259820774e-13 relative error = 1.218714304888244e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.161999999999762 y1[1] (analytic) = 0.9997917773327663 y1[1] (numeric) = 0.9997917773327619 absolute error = 4.329869796038111e-15 relative error = 4.330771560843689e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02040592996627246 y2[1] (numeric) = 0.02040592996650908 absolute error = 2.366128126762845e-13 relative error = 1.159529671362027e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.162999999999762 y1[1] (analytic) = 0.9997708715103539 y1[1] (numeric) = 0.9997708715103494 absolute error = 4.551914400963142e-15 relative error = 4.552957613264492e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02140571137400903 y2[1] (numeric) = 0.02140571137424575 absolute error = 2.367203655317951e-13 relative error = 1.105874789189313e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.163999999999762 y1[1] (analytic) = 0.9997489659171535 y1[1] (numeric) = 0.9997489659171487 absolute error = 4.773959005888173e-15 relative error = 4.775157733230182e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02240547137603601 y2[1] (numeric) = 0.02240547137627284 absolute error = 2.368279183873057e-13 relative error = 1.057009309969739e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.164999999999762 y1[1] (analytic) = 0.9997260605750703 y1[1] (numeric) = 0.9997260605750653 absolute error = 4.996003610813204e-15 relative error = 4.997372588186171e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02340520897259348 y2[1] (numeric) = 0.02340520897283041 absolute error = 2.369320017958643e-13 relative error = 1.012304577469493e-09 % Correct digits = 10 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.165999999999762 y1[1] (analytic) = 0.99970215550701 y1[1] (numeric) = 0.9997021555070047 absolute error = 5.329070518200751e-15 relative error = 5.330658225397198e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02440492316394393 y2[1] (numeric) = 0.02440492316418097 absolute error = 2.370360852044229e-13 relative error = 9.712633947343145e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.166999999999762 y1[1] (analytic) = 0.9996772507368774 y1[1] (numeric) = 0.9996772507368719 absolute error = 5.551115123125783e-15 relative error = 5.552907319871459e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02540461295037325 y2[1] (numeric) = 0.02540461295061039 absolute error = 2.371436380599334e-13 relative error = 9.334668413298906e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.167999999999762 y1[1] (analytic) = 0.9996513462895774 y1[1] (numeric) = 0.9996513462895716 absolute error = 5.773159728050814e-15 relative error = 5.775173263637514e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02640427733219173 y2[1] (numeric) = 0.02640427733242898 absolute error = 2.37247721468492e-13 relative error = 8.985200332646216e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.168999999999762 y1[1] (analytic) = 0.9996244421910145 y1[1] (numeric) = 0.9996244421910084 absolute error = 6.106226635438361e-15 relative error = 6.108520738102905e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02740391530973508 y2[1] (numeric) = 0.02740391530997243 absolute error = 2.373518048770507e-13 relative error = 8.661236987283084e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.169999999999761 y1[1] (analytic) = 0.9995965384680926 y1[1] (numeric) = 0.9995965384680864 absolute error = 6.217248937900877e-15 relative error = 6.219758371141391e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02840352588336541 y2[1] (numeric) = 0.02840352588360286 absolute error = 2.374558882856093e-13 relative error = 8.360084915537752e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.170999999999761 y1[1] (analytic) = 0.9995676351487156 y1[1] (numeric) = 0.9995676351487092 absolute error = 6.439293542825908e-15 relative error = 6.44207887129906e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.02940310805347222 y2[1] (numeric) = 0.02940310805370978 absolute error = 2.375599716941679e-13 relative error = 8.079417021566004e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.171999999999761 y1[1] (analytic) = 0.9995377322617868 y1[1] (numeric) = 0.99953773226178 absolute error = 6.772360450213455e-15 relative error = 6.775492541826046e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03040266082047342 y2[1] (numeric) = 0.03040266082071109 absolute error = 2.376640551027265e-13 relative error = 7.817212332371954e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.172999999999761 y1[1] (analytic) = 0.9995068298372088 y1[1] (numeric) = 0.999506829837202 absolute error = 6.883382752675971e-15 relative error = 6.886779106649104e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03140218318481634 y2[1] (numeric) = 0.03140218318505411 absolute error = 2.377681385112851e-13 relative error = 7.571707263533553e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.173999999999761 y1[1] (analytic) = 0.9994749279058845 y1[1] (numeric) = 0.9994749279058773 absolute error = 7.216449660063518e-15 relative error = 7.22024080702408e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.0324016741469787 y2[1] (numeric) = 0.03240167414721656 absolute error = 2.378652830259398e-13 relative error = 7.341141755421288e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.174999999999761 y1[1] (analytic) = 0.9994420264997155 y1[1] (numeric) = 0.999442026499708 absolute error = 7.438494264988549e-15 relative error = 7.44264706482269e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.0334011327074696 y2[1] (numeric) = 0.03340113270770757 absolute error = 2.379693664344984e-13 relative error = 7.124589711332769e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.175999999999761 y1[1] (analytic) = 0.9994081256516033 y1[1] (numeric) = 0.9994081256515955 absolute error = 7.771561172376096e-15 relative error = 7.776163684189701e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03440055786683058 y2[1] (numeric) = 0.03440055786706866 absolute error = 2.380803887369609e-13 relative error = 6.920829297553945e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.176999999999761 y1[1] (analytic) = 0.9993732253954487 y1[1] (numeric) = 0.9993732253954407 absolute error = 7.993605777301127e-15 relative error = 7.998619108629895e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03539994862563656 y2[1] (numeric) = 0.03539994862587474 absolute error = 2.381775332516156e-13 relative error = 6.728188669718237e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.177999999999761 y1[1] (analytic) = 0.999337325766152 y1[1] (numeric) = 0.9993373257661438 absolute error = 8.215650382226158e-15 relative error = 8.221098292238357e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03639930398449687 y2[1] (numeric) = 0.03639930398473515 absolute error = 2.382816166601742e-13 relative error = 6.546323434142113e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.17899999999976 y1[1] (analytic) = 0.9993004267996128 y1[1] (numeric) = 0.9993004267996043 absolute error = 8.548717289613705e-15 relative error = 8.554701929821108e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03739862294405622 y2[1] (numeric) = 0.03739862294429461 absolute error = 2.383857000687328e-13 relative error = 6.374183895094982e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.17999999999976 y1[1] (analytic) = 0.9992625285327301 y1[1] (numeric) = 0.9992625285327214 absolute error = 8.770761894538737e-15 relative error = 8.777234854805683e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03839790450499574 y2[1] (numeric) = 0.03839790450523423 absolute error = 2.384897834772914e-13 relative error = 6.211010380690509e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18099999999976 y1[1] (analytic) = 0.9992236310034022 y1[1] (numeric) = 0.9992236310033932 absolute error = 8.992806499463768e-15 relative error = 8.999793660237354e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.03939714766803397 y2[1] (numeric) = 0.03939714766827256 absolute error = 2.385869279919461e-13 relative error = 6.055944201908065e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18199999999976 y1[1] (analytic) = 0.9991837342505264 y1[1] (numeric) = 0.9991837342505172 absolute error = 9.214851104388799e-15 relative error = 9.22237901650864e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.0403963514339278 y2[1] (numeric) = 0.04039635143416649 absolute error = 2.386910114005047e-13 relative error = 5.908726974784031e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18299999999976 y1[1] (analytic) = 0.9991428383139997 y1[1] (numeric) = 0.9991428383139903 absolute error = 9.436895709313831e-15 relative error = 9.444991594233001e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.04139551480347357 y2[1] (numeric) = 0.04139551480371236 absolute error = 2.387881559151595e-13 relative error = 5.768454796342388e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18399999999976 y1[1] (analytic) = 0.999100943234718 y1[1] (numeric) = 0.9991009432347083 absolute error = 9.658940314238862e-15 relative error = 9.667632064250483e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.04239463677750799 y2[1] (numeric) = 0.04239463677774688 absolute error = 2.388922393237181e-13 relative error = 5.634963700183409e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18499999999976 y1[1] (analytic) = 0.9990580490545763 y1[1] (numeric) = 0.9990580490545664 absolute error = 9.880984919163893e-15 relative error = 9.890301097633335e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.04339371635690915 y2[1] (numeric) = 0.04339371635714815 absolute error = 2.389963227322767e-13 relative error = 5.507625130941882e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18599999999976 y1[1] (analytic) = 0.9990141558164688 y1[1] (numeric) = 0.9990141558164587 absolute error = 1.010302952408892e-14 relative error = 1.011299936569165e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.04439275254259759 y2[1] (numeric) = 0.04439275254283668 absolute error = 2.390934672469314e-13 relative error = 5.385867141658009e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.18699999999976 y1[1] (analytic) = 0.9989692635642886 y1[1] (numeric) = 0.9989692635642784 absolute error = 1.021405182655144e-14 relative error = 1.022459068471041e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.04539174433553717 y2[1] (numeric) = 0.04539174433577637 absolute error = 2.3919755065549e-13 relative error = 5.269626760481693e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.187999999999759 y1[1] (analytic) = 0.9989233723429283 y1[1] (numeric) = 0.9989233723429177 absolute error = 1.054711873393899e-14 relative error = 1.055848629229809e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.04639069073673621 y2[1] (numeric) = 0.04639069073697551 absolute error = 2.393016340640486e-13 relative error = 5.158397735917923e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.188999999999759 y1[1] (analytic) = 0.9988764821982787 y1[1] (numeric) = 0.998876482198268 absolute error = 1.076916333886402e-14 relative error = 1.07812762947064e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.04738959074724837 y2[1] (numeric) = 0.04738959074748777 absolute error = 2.393987785787033e-13 relative error = 5.05171652263327e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.189999999999759 y1[1] (analytic) = 0.9988285931772303 y1[1] (numeric) = 0.9988285931772193 absolute error = 1.099120794378905e-14 relative error = 1.100409821952183e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.04838844336817373 y2[1] (numeric) = 0.04838844336841323 absolute error = 2.395028619872619e-13 relative error = 4.94958806930311e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.190999999999759 y1[1] (analytic) = 0.9987797053276719 y1[1] (numeric) = 0.9987797053276606 absolute error = 1.13242748511766e-14 relative error = 1.133811068724251e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.04938724760065976 y2[1] (numeric) = 0.04938724760089936 absolute error = 2.396000065019166e-13 relative error = 4.851454943172735e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.191999999999759 y1[1] (analytic) = 0.9987298186984914 y1[1] (numeric) = 0.9987298186984799 absolute error = 1.154631945610163e-14 relative error = 1.15610040272437e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05038600244590231 y2[1] (numeric) = 0.050386002446142 absolute error = 2.396971510165713e-13 relative error = 4.757217071823187e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.192999999999759 y1[1] (analytic) = 0.9986789333395755 y1[1] (numeric) = 0.9986789333395637 absolute error = 1.176836406102666e-14 relative error = 1.178393141995429e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0513847069051466 y2[1] (numeric) = 0.0513847069053864 absolute error = 2.398012344251299e-13 relative error = 4.666782178358827e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.193999999999759 y1[1] (analytic) = 0.9986270493018093 y1[1] (numeric) = 0.9986270493017974 absolute error = 1.199040866595169e-14 relative error = 1.200689353881891e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05238335997968827 y2[1] (numeric) = 0.05238335997992817 absolute error = 2.398983789397846e-13 relative error = 4.57966764699335e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.194999999999759 y1[1] (analytic) = 0.9985741666370772 y1[1] (numeric) = 0.998574166637065 absolute error = 1.221245327087672e-14 relative error = 1.222989105757152e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05338196067087433 y2[1] (numeric) = 0.05338196067111433 absolute error = 2.399955234544393e-13 relative error = 4.4958169471168e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.195999999999759 y1[1] (analytic) = 0.9985202853982617 y1[1] (numeric) = 0.9985202853982492 absolute error = 1.243449787580175e-14 relative error = 1.245292465024106e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05438050798010417 y2[1] (numeric) = 0.05438050798034427 absolute error = 2.40092667969094e-13 relative error = 4.415050114223557e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.196999999999758 y1[1] (analytic) = 0.9984654056392438 y1[1] (numeric) = 0.9984654056392313 absolute error = 1.254552017826427e-14 relative error = 1.256480205263826e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05537900090883056 y2[1] (numeric) = 0.05537900090907075 absolute error = 2.401967513776526e-13 relative error = 4.337325474200666e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.197999999999758 y1[1] (analytic) = 0.9984095274149036 y1[1] (numeric) = 0.9984095274148908 absolute error = 1.287858708565182e-14 relative error = 1.289910275495592e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05637743845856065 y2[1] (numeric) = 0.05637743845880094 absolute error = 2.402938958923073e-13 relative error = 4.262235079533306e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.198999999999758 y1[1] (analytic) = 0.9983526507811192 y1[1] (numeric) = 0.9983526507811061 absolute error = 1.310063169057685e-14 relative error = 1.312224861658534e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05737581963085699 y2[1] (numeric) = 0.05737581963109738 absolute error = 2.40391040406962e-13 relative error = 4.18976220215386e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.199999999999758 y1[1] (analytic) = 0.9982947757947672 y1[1] (numeric) = 0.9982947757947539 absolute error = 1.332267629550188e-14 relative error = 1.334543325131133e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05837414342733847 y2[1] (numeric) = 0.05837414342757896 absolute error = 2.404881849216167e-13 relative error = 4.119772399246691e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.200999999999758 y1[1] (analytic) = 0.9982359025137226 y1[1] (numeric) = 0.9982359025137091 absolute error = 1.354472090042691e-14 relative error = 1.356865733472325e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.05937240884968139 y2[1] (numeric) = 0.05937240884992198 absolute error = 2.405922683301753e-13 relative error = 4.052257150948768e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.201999999999758 y1[1] (analytic) = 0.9981760309968587 y1[1] (numeric) = 0.9981760309968449 absolute error = 1.376676550535194e-14 relative error = 1.379192154273965e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06037061489962041 y2[1] (numeric) = 0.0603706148998611 absolute error = 2.4068941284483e-13 relative error = 3.98686369593932e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.202999999999758 y1[1] (analytic) = 0.9981151613040469 y1[1] (numeric) = 0.9981151613040329 absolute error = 1.398881011027697e-14 relative error = 1.4015226551614e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06136876057894956 y2[1] (numeric) = 0.06136876057919035 absolute error = 2.407865573594847e-13 relative error = 3.923601439688815e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.203999999999758 y1[1] (analytic) = 0.998053293496157 y1[1] (numeric) = 0.9980532934961428 absolute error = 1.4210854715202e-14 relative error = 1.423857303794041e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06236684488952325 y2[1] (numeric) = 0.06236684488976414 absolute error = 2.408837018741394e-13 relative error = 3.862367934450448e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.204999999999758 y1[1] (analytic) = 0.9979904276350569 y1[1] (numeric) = 0.9979904276350423 absolute error = 1.454392162258955e-14 relative error = 1.457320753772595e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06336486683325725 y2[1] (numeric) = 0.06336486683349822 absolute error = 2.409739074948902e-13 relative error = 3.802957688351273e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.205999999999757 y1[1] (analytic) = 0.9979265637836121 y1[1] (numeric) = 0.9979265637835973 absolute error = 1.476596622751458e-14 relative error = 1.479664612948052e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06436282541212968 y2[1] (numeric) = 0.06436282541237076 absolute error = 2.410849297973527e-13 relative error = 3.745717007505988e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.206999999999757 y1[1] (analytic) = 0.9978617020056868 y1[1] (numeric) = 0.9978617020056718 absolute error = 1.498801083243961e-14 relative error = 1.502012834274924e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06536071962818207 y2[1] (numeric) = 0.06536071962842326 absolute error = 2.411820743120074e-13 relative error = 3.690015588629094e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.207999999999757 y1[1] (analytic) = 0.9977958423661427 y1[1] (numeric) = 0.9977958423661274 absolute error = 1.532107773982716e-14 relative error = 1.535492240927285e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06635854848352028 y2[1] (numeric) = 0.06635854848376156 absolute error = 2.412792188266621e-13 relative error = 3.635993015829487e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.208999999999757 y1[1] (analytic) = 0.9977289849308393 y1[1] (numeric) = 0.9977289849308237 absolute error = 1.554312234475219e-14 relative error = 1.557850135608681e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06735631098031554 y2[1] (numeric) = 0.06735631098055692 absolute error = 2.413763633413168e-13 relative error = 3.583574572720551e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y1[1] (analytic) = 0.9976611297666342 y1[1] (numeric) = 0.9976611297666184 absolute error = 1.587618925213974e-14 relative error = 1.591340864994247e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.06835400612080543 y2[1] (numeric) = 0.0683540061210469 absolute error = 2.414735078559715e-13 relative error = 3.532689911827603e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.210999999999757 y1[1] (analytic) = 0.9975922769413824 y1[1] (numeric) = 0.9975922769413663 absolute error = 1.609823385706477e-14 relative error = 1.613708749472475e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0693516329072949 y2[1] (numeric) = 0.06935163290753646 absolute error = 2.415567745828184e-13 relative error = 3.483072632272653e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.211999999999757 y1[1] (analytic) = 0.9975224265239369 y1[1] (numeric) = 0.9975224265239205 absolute error = 1.63202784619898e-14 relative error = 1.636081357976183e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.07034919034215724 y2[1] (numeric) = 0.07034919034239889 absolute error = 2.416539190974731e-13 relative error = 3.435063259749563e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.212999999999757 y1[1] (analytic) = 0.9974515785841478 y1[1] (numeric) = 0.9974515785841312 absolute error = 1.654232306691483e-14 relative error = 1.658458758508975e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0713466774278351 y2[1] (numeric) = 0.07134667742807685 absolute error = 2.417510636121278e-13 relative error = 3.388399745126904e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.213999999999757 y1[1] (analytic) = 0.9973797331928634 y1[1] (numeric) = 0.9973797331928466 absolute error = 1.687538997430238e-14 relative error = 1.691972416592025e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.07234409316684147 y2[1] (numeric) = 0.07234409316708332 absolute error = 2.418482081267825e-13 relative error = 3.343026327927383e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.214999999999756 y1[1] (analytic) = 0.9973068904219289 y1[1] (numeric) = 0.9973068904219118 absolute error = 1.709743457922741e-14 relative error = 1.714360418385762e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0733414365617607 y2[1] (numeric) = 0.07334143656200265 absolute error = 2.419453526414372e-13 relative error = 3.29889028608944e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.215999999999756 y1[1] (analytic) = 0.9972330503441871 y1[1] (numeric) = 0.9972330503441696 absolute error = 1.743050148661496e-14 relative error = 1.74788646250733e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.07433870661524949 y2[1] (numeric) = 0.07433870661549152 absolute error = 2.420286193682841e-13 relative error = 3.255755048590467e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.216999999999756 y1[1] (analytic) = 0.997158213033478 y1[1] (numeric) = 0.9971582130334603 absolute error = 1.765254609153999e-14 relative error = 1.770285383082668e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.07533590233003785 y2[1] (numeric) = 0.07533590233027998 absolute error = 2.421257638829388e-13 relative error = 3.213949211389464e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.217999999999756 y1[1] (analytic) = 0.9970823785646389 y1[1] (numeric) = 0.997082378564621 absolute error = 1.787459069646502e-14 relative error = 1.792689458838555e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.07633302270893018 y2[1] (numeric) = 0.07633302270917239 absolute error = 2.422090306097857e-13 relative error = 3.173056981293232e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.218999999999756 y1[1] (analytic) = 0.9970055470135044 y1[1] (numeric) = 0.9970055470134863 absolute error = 1.809663530139005e-14 relative error = 1.81509875803579e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.07733006675480614 y2[1] (numeric) = 0.07733006675504844 absolute error = 2.423061751244404e-13 relative error = 3.133401861564808e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y1[1] (analytic) = 0.996927718456906 y1[1] (numeric) = 0.9969277184568877 absolute error = 1.831867990631508e-14 relative error = 1.837513348978765e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0783270334706218 y2[1] (numeric) = 0.0783270334708642 absolute error = 2.424033196390951e-13 relative error = 3.09475935572121e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.220999999999756 y1[1] (analytic) = 0.9968488929726722 y1[1] (numeric) = 0.9968488929726536 absolute error = 1.865174681370263e-14 relative error = 1.87107062516585e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.07932392185941051 y2[1] (numeric) = 0.07932392185965301 absolute error = 2.425004641537498e-13 relative error = 3.057091208671512e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.221999999999756 y1[1] (analytic) = 0.9967690706396285 y1[1] (numeric) = 0.9967690706396096 absolute error = 1.887379141862766e-14 relative error = 1.893496896579698e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08032073092428398 y2[1] (numeric) = 0.08032073092452656 absolute error = 2.425837308805967e-13 relative error = 3.020188288740467e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.222999999999756 y1[1] (analytic) = 0.9966882515375972 y1[1] (numeric) = 0.9966882515375781 absolute error = 1.909583602355269e-14 relative error = 1.915928676202757e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08131745966843321 y2[1] (numeric) = 0.08131745966867589 absolute error = 2.426808753952514e-13 relative error = 2.984363707188682e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.223999999999756 y1[1] (analytic) = 0.9966064357473975 y1[1] (numeric) = 0.9966064357473781 absolute error = 1.942890293094024e-14 relative error = 1.949506067193885e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08231410709512955 y2[1] (numeric) = 0.08231410709537232 absolute error = 2.427641421220983e-13 relative error = 2.949241031571154e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.224999999999755 y1[1] (analytic) = 0.9965236233508451 y1[1] (numeric) = 0.9965236233508253 absolute error = 1.976196983832779e-14 relative error = 1.983090954921618e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08331067220772566 y2[1] (numeric) = 0.08331067220796852 absolute error = 2.42861286636753e-13 relative error = 2.915128160665972e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.225999999999755 y1[1] (analytic) = 0.9964398144307522 y1[1] (numeric) = 0.9964398144307324 absolute error = 1.98729921407903e-14 relative error = 1.994399646921312e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08430715400965649 y2[1] (numeric) = 0.08430715400989945 absolute error = 2.429584311514077e-13 relative error = 2.881824609137907e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.226999999999755 y1[1] (analytic) = 0.9963550090709281 y1[1] (numeric) = 0.996355009070908 absolute error = 2.009503674571533e-14 relative error = 2.016855093091103e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08530355150444036 y2[1] (numeric) = 0.0853035515046834 absolute error = 2.430416978782546e-13 relative error = 2.849139263159558e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.227999999999755 y1[1] (analytic) = 0.996269207356178 y1[1] (numeric) = 0.9962692073561575 absolute error = 2.042810365310288e-14 relative error = 2.050460207167639e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08629986369567981 y2[1] (numeric) = 0.08629986369592295 absolute error = 2.431388423929093e-13 relative error = 2.817372264344386e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.228999999999755 y1[1] (analytic) = 0.9961824093723034 y1[1] (numeric) = 0.9961824093722828 absolute error = 2.065014825802791e-14 relative error = 2.072928417902863e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08729608958706277 y2[1] (numeric) = 0.08729608958730599 absolute error = 2.432221091197562e-13 relative error = 2.786174160495289e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y1[1] (analytic) = 0.9960946152061025 y1[1] (numeric) = 0.9960946152060817 absolute error = 2.087219286295294e-14 relative error = 2.095402639902261e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08829222818236342 y2[1] (numeric) = 0.08829222818260672 absolute error = 2.433053758466031e-13 relative error = 2.755682814392987e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.230999999999755 y1[1] (analytic) = 0.9960058249453695 y1[1] (numeric) = 0.9960058249453483 absolute error = 2.120525977034049e-14 relative error = 2.129029694329709e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.08928827848544324 y2[1] (numeric) = 0.08928827848568663 absolute error = 2.433886425734499e-13 relative error = 2.72587451233176e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.231999999999755 y1[1] (analytic) = 0.9959160386788944 y1[1] (numeric) = 0.995916038678873 absolute error = 2.142730437526552e-14 relative error = 2.151517150350278e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.09028423950025201 y2[1] (numeric) = 0.09028423950049549 absolute error = 2.434857870881046e-13 relative error = 2.696880301986982e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.232999999999755 y1[1] (analytic) = 0.9958252564964637 y1[1] (numeric) = 0.995825256496442 absolute error = 2.164934898019055e-14 relative error = 2.174010835631726e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.09128011023082881 y2[1] (numeric) = 0.09128011023107238 absolute error = 2.435690538149515e-13 relative error = 2.668369409272348e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.233999999999754 y1[1] (analytic) = 0.9957334784888595 y1[1] (numeric) = 0.9957334784888375 absolute error = 2.19824158875781e-14 relative error = 2.207660620283547e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.09227588968130299 y2[1] (numeric) = 0.09227588968154664 absolute error = 2.436523205417984e-13 relative error = 2.640476525160693e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.234999999999754 y1[1] (analytic) = 0.9956407047478597 y1[1] (numeric) = 0.9956407047478375 absolute error = 2.220446049250313e-14 relative error = 2.230168010068078e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.09327157685589517 y2[1] (numeric) = 0.0932715768561389 absolute error = 2.437355872686453e-13 relative error = 2.613181801838919e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.235999999999754 y1[1] (analytic) = 0.9955469353662383 y1[1] (numeric) = 0.9955469353662157 absolute error = 2.253752739989068e-14 relative error = 2.263833737944224e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.09426717075891826 y2[1] (numeric) = 0.09426717075916209 absolute error = 2.438327317833e-13 relative error = 2.586613450051294e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.236999999999754 y1[1] (analytic) = 0.9954521704377643 y1[1] (numeric) = 0.9954521704377416 absolute error = 2.275957200481571e-14 relative error = 2.286355154040888e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.09526267039477845 y2[1] (numeric) = 0.09526267039502237 absolute error = 2.439159985101469e-13 relative error = 2.560457286147171e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.237999999999754 y1[1] (analytic) = 0.9953564100572029 y1[1] (numeric) = 0.9953564100571799 absolute error = 2.298161660974074e-14 relative error = 2.308883167630376e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0962580747679762 y2[1] (numeric) = 0.09625807476822019 absolute error = 2.439992652369938e-13 relative error = 2.534844643684575e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.238999999999754 y1[1] (analytic) = 0.9952596543203144 y1[1] (numeric) = 0.9952596543202912 absolute error = 2.320366121466577e-14 relative error = 2.331417847989838e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0972533828831072 y2[1] (numeric) = 0.09725338288335128 absolute error = 2.440825319638407e-13 relative error = 2.509758783992259e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y1[1] (analytic) = 0.9951619033238546 y1[1] (numeric) = 0.995161903323831 absolute error = 2.353672812205332e-14 relative error = 2.365115469497005e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.0982485937448634 y2[1] (numeric) = 0.09824859374510758 absolute error = 2.441796764784954e-13 relative error = 2.485324900553719e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.240999999999754 y1[1] (analytic) = 0.9950631571655743 y1[1] (numeric) = 0.9950631571655505 absolute error = 2.375877272697835e-14 relative error = 2.387664798549565e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.09924370635803406 y2[1] (numeric) = 0.09924370635827832 absolute error = 2.442629432053423e-13 relative error = 2.461243661377712e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.241999999999754 y1[1] (analytic) = 0.9949634159442197 y1[1] (numeric) = 0.9949634159441957 absolute error = 2.398081733190338e-14 relative error = 2.410221013919954e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1002387197275066 y2[1] (numeric) = 0.100238719727751 absolute error = 2.443462099321891e-13 relative error = 2.437642964679025e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.242999999999753 y1[1] (analytic) = 0.9948626797595321 y1[1] (numeric) = 0.9948626797595078 absolute error = 2.431388423929093e-14 relative error = 2.443943745599928e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1012336328582678 y2[1] (numeric) = 0.1012336328585123 absolute error = 2.444155988712282e-13 relative error = 2.414371508463223e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.243999999999753 y1[1] (analytic) = 0.9947609487122477 y1[1] (numeric) = 0.9947609487122232 absolute error = 2.453592884421596e-14 relative error = 2.466515083445783e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1022284447554046 y2[1] (numeric) = 0.1022284447556491 absolute error = 2.445127433858829e-13 relative error = 2.391826892905519e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.244999999999753 y1[1] (analytic) = 0.9946582229040976 y1[1] (numeric) = 0.9946582229040727 absolute error = 2.486899575160351e-14 relative error = 2.500255382094329e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1032231544241051 y2[1] (numeric) = 0.1032231544243497 absolute error = 2.445960101127298e-13 relative error = 2.369584726192117e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.245999999999753 y1[1] (analytic) = 0.9945545024378073 y1[1] (numeric) = 0.9945545024377822 absolute error = 2.509104035652854e-14 relative error = 2.522842166520438e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1042177608696599 y2[1] (numeric) = 0.1042177608699045 absolute error = 2.446792768395767e-13 relative error = 2.347769466526778e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.246999999999753 y1[1] (analytic) = 0.9944497874170974 y1[1] (numeric) = 0.9944497874170721 absolute error = 2.531308496145357e-14 relative error = 2.54543620821718e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1052122630974624 y2[1] (numeric) = 0.1052122630977071 absolute error = 2.447625435664236e-13 relative error = 2.326368964610999e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.247999999999753 y1[1] (analytic) = 0.9943440779466831 y1[1] (numeric) = 0.9943440779466576 absolute error = 2.55351295663786e-14 relative error = 2.56803757700338e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1062066601130106 y2[1] (numeric) = 0.1062066601132554 absolute error = 2.448458102932705e-13 relative error = 2.305371527856531e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.248999999999753 y1[1] (analytic) = 0.9942373741322736 y1[1] (numeric) = 0.9942373741322479 absolute error = 2.575717417130363e-14 relative error = 2.590646342759279e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1072009509219075 y2[1] (numeric) = 0.1072009509221525 absolute error = 2.449290770201173e-13 relative error = 2.284765899124723e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y1[1] (analytic) = 0.994129676080573 y1[1] (numeric) = 0.9941296760805469 absolute error = 2.609024107869118e-14 relative error = 2.624430364211016e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1081951345298625 y2[1] (numeric) = 0.1081951345301075 absolute error = 2.450123437469642e-13 relative error = 2.264541236642572e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.250999999999753 y1[1] (analytic) = 0.9940209838992791 y1[1] (numeric) = 0.9940209838992528 absolute error = 2.631228568361621e-14 relative error = 2.647055354948357e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1091892099426919 y2[1] (numeric) = 0.109189209942937 absolute error = 2.450956104738111e-13 relative error = 2.244687095020194e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.251999999999752 y1[1] (analytic) = 0.993911297697084 y1[1] (numeric) = 0.9939112976970574 absolute error = 2.653433028854124e-14 relative error = 2.669687964109263e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1101831761663205 y2[1] (numeric) = 0.1101831761665657 absolute error = 2.45178877200658e-13 relative error = 2.225193407299883e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.252999999999752 y1[1] (analytic) = 0.9938006175836741 y1[1] (numeric) = 0.9938006175836473 absolute error = 2.675637489346627e-14 relative error = 2.692328261832006e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1111770322067821 y2[1] (numeric) = 0.1111770322070274 absolute error = 2.452621439275049e-13 relative error = 2.206050467971956e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.253999999999752 y1[1] (analytic) = 0.9936889436697295 y1[1] (numeric) = 0.9936889436697024 absolute error = 2.708944180085382e-14 relative error = 2.726149060370092e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1121707770702208 y2[1] (numeric) = 0.1121707770704661 absolute error = 2.45331532866544e-13 relative error = 2.187125196725368e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.254999999999752 y1[1] (analytic) = 0.993576276066924 y1[1] (numeric) = 0.9935762760668966 absolute error = 2.742250870824137e-14 relative error = 2.759980221829922e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1131644097628917 y2[1] (numeric) = 0.1131644097631371 absolute error = 2.454147995933909e-13 relative error = 2.168657090224722e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.255999999999752 y1[1] (analytic) = 0.9934626148879252 y1[1] (numeric) = 0.9934626148878976 absolute error = 2.76445533131664e-14 relative error = 2.782646563533248e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1141579292911623 y2[1] (numeric) = 0.1141579292914078 absolute error = 2.454980663202377e-13 relative error = 2.150512608669429e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.256999999999752 y1[1] (analytic) = 0.9933479602463944 y1[1] (numeric) = 0.9933479602463664 absolute error = 2.797762022055394e-14 relative error = 2.816497475226531e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1151513346615132 y2[1] (numeric) = 0.1151513346617587 absolute error = 2.455813330470846e-13 relative error = 2.132683340310122e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.257999999999752 y1[1] (analytic) = 0.9932323122569859 y1[1] (numeric) = 0.9932323122569578 absolute error = 2.808864252301646e-14 relative error = 2.82800329554209e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1161446248805389 y2[1] (numeric) = 0.1161446248807846 absolute error = 2.456645997739315e-13 relative error = 2.115161162443901e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.258999999999752 y1[1] (analytic) = 0.9931156710353481 y1[1] (numeric) = 0.9931156710353197 absolute error = 2.842170943040401e-14 relative error = 2.86187301835381e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1171377989549495 y2[1] (numeric) = 0.1171377989551952 absolute error = 2.457339887129706e-13 relative error = 2.097819755068801e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y1[1] (analytic) = 0.992998036698122 y1[1] (numeric) = 0.9929980366980934 absolute error = 2.864375403532904e-14 relative error = 2.88457307836923e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1181308558915709 y2[1] (numeric) = 0.1181308558918167 absolute error = 2.458172554398175e-13 relative error = 2.08088948128376e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.260999999999751 y1[1] (analytic) = 0.9928794093629419 y1[1] (numeric) = 0.9928794093629131 absolute error = 2.886579864025407e-14 relative error = 2.907281424918978e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1191237946973462 y2[1] (numeric) = 0.1191237946975921 absolute error = 2.459005221666644e-13 relative error = 2.064243527428047e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.261999999999751 y1[1] (analytic) = 0.9927597891484353 y1[1] (numeric) = 0.9927597891484061 absolute error = 2.919886554764162e-14 relative error = 2.941181327729609e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1201166143793367 y2[1] (numeric) = 0.1201166143795827 absolute error = 2.459837888935112e-13 relative error = 2.047874810362845e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.262999999999751 y1[1] (analytic) = 0.9926391761742221 y1[1] (numeric) = 0.9926391761741927 absolute error = 2.942091015256665e-14 relative error = 2.963907818544819e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1211093139447229 y2[1] (numeric) = 0.121109313944969 absolute error = 2.460670556203581e-13 relative error = 2.031776480318176e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.263999999999751 y1[1] (analytic) = 0.9925175705609156 y1[1] (numeric) = 0.992517570560886 absolute error = 2.964295475749168e-14 relative error = 2.986642819908884e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1221018924008053 y2[1] (numeric) = 0.1221018924010514 absolute error = 2.46150322347205e-13 relative error = 2.015941911360431e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.264999999999751 y1[1] (analytic) = 0.9923949724301212 y1[1] (numeric) = 0.9923949724300913 absolute error = 2.986499936241671e-14 relative error = 3.00938640280341e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1230943487550054 y2[1] (numeric) = 0.1230943487552516 absolute error = 2.462197112862441e-13 relative error = 2.000251951259721e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.265999999999751 y1[1] (analytic) = 0.9922713819044371 y1[1] (numeric) = 0.9922713819044069 absolute error = 3.019806626980426e-14 relative error = 3.043327341744554e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.124086682014867 y2[1] (numeric) = 0.1240866820151133 absolute error = 2.46302978013091e-13 relative error = 1.984926778714102e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.266999999999751 y1[1] (analytic) = 0.9921467991074537 y1[1] (numeric) = 0.9921467991074233 absolute error = 3.042011087472929e-14 relative error = 3.066089705887834e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1250788911880569 y2[1] (numeric) = 0.1250788911883033 absolute error = 2.463862447399379e-13 relative error = 1.969846729529243e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.267999999999751 y1[1] (analytic) = 0.9920212241637539 y1[1] (numeric) = 0.9920212241637233 absolute error = 3.064215547965432e-14 relative error = 3.088860876488282e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1260709752823661 y2[1] (numeric) = 0.1260709752826125 absolute error = 2.464695114667848e-13 relative error = 1.955005987022448e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.268999999999751 y1[1] (analytic) = 0.9918946571989127 y1[1] (numeric) = 0.9918946571988818 absolute error = 3.086420008457935e-14 relative error = 3.111640924827555e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1270629333057105 y2[1] (numeric) = 0.127062933305957 absolute error = 2.465527781936316e-13 relative error = 1.940398917128974e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.26999999999975 y1[1] (analytic) = 0.9917670983394969 y1[1] (numeric) = 0.9917670983394657 absolute error = 3.11972669919669e-14 relative error = 3.145624314841668e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1280547642661322 y2[1] (numeric) = 0.1280547642663788 absolute error = 2.466360449204785e-13 relative error = 1.926020061291142e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27099999999975 y1[1] (analytic) = 0.9916385477130654 y1[1] (numeric) = 0.9916385477130339 absolute error = 3.141931159689193e-14 relative error = 3.168423783983762e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1290464671718002 y2[1] (numeric) = 0.129046467172047 absolute error = 2.467193116473254e-13 relative error = 1.911864129677155e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27199999999975 y1[1] (analytic) = 0.9915090054481688 y1[1] (numeric) = 0.9915090054481371 absolute error = 3.164135620181696e-14 relative error = 3.191232356736372e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1300380410310119 y2[1] (numeric) = 0.1300380410312587 absolute error = 2.468025783741723e-13 relative error = 1.897925994711917e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27299999999975 y1[1] (analytic) = 0.9913784716743494 y1[1] (numeric) = 0.9913784716743175 absolute error = 3.197442310920451e-14 relative error = 3.225248885544445e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1310294848521934 y2[1] (numeric) = 0.1310294848524403 absolute error = 2.468858451010192e-13 relative error = 1.884200684903223e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27399999999975 y1[1] (analytic) = 0.991246946522141 y1[1] (numeric) = 0.9912469465221088 absolute error = 3.219646771412954e-14 relative error = 3.248077366300405e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1320207976439009 y2[1] (numeric) = 0.1320207976441479 absolute error = 2.469691118278661e-13 relative error = 1.870683378947723e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27499999999975 y1[1] (analytic) = 0.9911144301230685 y1[1] (numeric) = 0.9911144301230361 absolute error = 3.241851231905457e-14 relative error = 3.270915177274647e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1330119784148218 y2[1] (numeric) = 0.1330119784150688 absolute error = 2.47052378554713e-13 relative error = 1.857369400101964e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27599999999975 y1[1] (analytic) = 0.9909809226096487 y1[1] (numeric) = 0.990980922609616 absolute error = 3.26405569239796e-14 relative error = 3.293762390301518e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1340030261737754 y2[1] (numeric) = 0.1340030261740225 absolute error = 2.471356452815598e-13 relative error = 1.844254210804717e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27699999999975 y1[1] (analytic) = 0.9908464241153887 y1[1] (numeric) = 0.9908464241153558 absolute error = 3.286260152890463e-14 relative error = 3.316619077294831e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1349939399297139 y2[1] (numeric) = 0.1349939399299611 absolute error = 2.471911564327911e-13 relative error = 1.831127801451635e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.27799999999975 y1[1] (analytic) = 0.9907109347747872 y1[1] (numeric) = 0.9907109347747541 absolute error = 3.308464613382966e-14 relative error = 3.339485310248505e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1359847186917238 y2[1] (numeric) = 0.1359847186919711 absolute error = 2.47274423159638e-13 relative error = 1.818398607862748e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.278999999999749 y1[1] (analytic) = 0.9905744547233335 y1[1] (numeric) = 0.9905744547233002 absolute error = 3.33066907387547e-14 relative error = 3.362361161237216e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1369753614690263 y2[1] (numeric) = 0.1369753614692737 absolute error = 2.473576898864849e-13 relative error = 1.805855354084383e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.279999999999749 y1[1] (analytic) = 0.9904369840975077 y1[1] (numeric) = 0.990436984097474 absolute error = 3.363975764614224e-14 relative error = 3.396456128583991e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1379658672709788 y2[1] (numeric) = 0.1379658672712262 absolute error = 2.474132010377161e-13 relative error = 1.793292833449681e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.280999999999749 y1[1] (analytic) = 0.9902985230347803 y1[1] (numeric) = 0.9902985230347463 absolute error = 3.397282455352979e-14 relative error = 3.430563992907887e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1389562351070755 y2[1] (numeric) = 0.138956235107323 absolute error = 2.47496467764563e-13 relative error = 1.781110920095451e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.281999999999749 y1[1] (analytic) = 0.9901590716736123 y1[1] (numeric) = 0.9901590716735781 absolute error = 3.419486915845482e-14 relative error = 3.453472289119877e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1399464639869486 y2[1] (numeric) = 0.1399464639871962 absolute error = 2.475797344914099e-13 relative error = 1.769103180159658e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.282999999999749 y1[1] (analytic) = 0.9900186301534551 y1[1] (numeric) = 0.9900186301534207 absolute error = 3.441691376337985e-14 relative error = 3.476390515807279e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1409365529203695 y2[1] (numeric) = 0.1409365529206171 absolute error = 2.476630012182568e-13 relative error = 1.757265919212518e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.283999999999749 y1[1] (analytic) = 0.9898771986147504 y1[1] (numeric) = 0.9898771986147157 absolute error = 3.47499806707674e-14 relative error = 3.510534510684463e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1419265009172491 y2[1] (numeric) = 0.1419265009174969 absolute error = 2.477462679451037e-13 relative error = 1.745595546596004e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.284999999999749 y1[1] (analytic) = 0.9897347771989295 y1[1] (numeric) = 0.9897347771988946 absolute error = 3.497202527569243e-14 relative error = 3.533474429853576e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1429163069876397 y2[1] (numeric) = 0.1429163069878875 absolute error = 2.478017790963349e-13 relative error = 1.733894363207737e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.285999999999749 y1[1] (analytic) = 0.9895913660484139 y1[1] (numeric) = 0.9895913660483787 absolute error = 3.519406988061746e-14 relative error = 3.556424508951875e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1439059701417352 y2[1] (numeric) = 0.1439059701419831 absolute error = 2.478850458231818e-13 relative error = 1.722548728027309e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.286999999999749 y1[1] (analytic) = 0.9894469653066148 y1[1] (numeric) = 0.9894469653065793 absolute error = 3.552713678800501e-14 relative error = 3.590605462819898e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1448954893898725 y2[1] (numeric) = 0.1448954893901205 absolute error = 2.479683125500287e-13 relative error = 1.71135977796256e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.287999999999748 y1[1] (analytic) = 0.9893015751179327 y1[1] (numeric) = 0.989301575117897 absolute error = 3.574918139293004e-14 relative error = 3.613577729184192e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1458848637425326 y2[1] (numeric) = 0.1458848637427806 absolute error = 2.480515792768756e-13 relative error = 1.700324303106961e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.288999999999748 y1[1] (analytic) = 0.989155195627758 y1[1] (numeric) = 0.989155195627722 absolute error = 3.597122599785507e-14 relative error = 3.636560385756886e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.146874092210341 y2[1] (numeric) = 0.1468740922105891 absolute error = 2.481348460037225e-13 relative error = 1.689439180657976e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.289999999999748 y1[1] (analytic) = 0.9890078269824701 y1[1] (numeric) = 0.9890078269824338 absolute error = 3.630429290524262e-14 relative error = 3.670779129828474e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1478631738040695 y2[1] (numeric) = 0.1478631738043177 absolute error = 2.481903571549537e-13 relative error = 1.678513660770097e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.290999999999748 y1[1] (analytic) = 0.9888594693294377 y1[1] (numeric) = 0.9888594693294011 absolute error = 3.663735981263017e-14 relative error = 3.7050117786175e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1488521075346365 y2[1] (numeric) = 0.1488521075348848 absolute error = 2.482736238818006e-13 relative error = 1.667921455690708e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.291999999999748 y1[1] (analytic) = 0.9887101228170182 y1[1] (numeric) = 0.9887101228169813 absolute error = 3.68594044175552e-14 relative error = 3.728029436225042e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1498408924131083 y2[1] (numeric) = 0.1498408924133567 absolute error = 2.483568906086475e-13 relative error = 1.657470711826332e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.292999999999748 y1[1] (analytic) = 0.9885597875945584 y1[1] (numeric) = 0.9885597875945212 absolute error = 3.719247132494274e-14 relative error = 3.762288512204446e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1508295274507003 y2[1] (numeric) = 0.1508295274509487 absolute error = 2.484124017598788e-13 relative error = 1.646974607416139e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.293999999999748 y1[1] (analytic) = 0.9884084638123933 y1[1] (numeric) = 0.9884084638123559 absolute error = 3.741451592986778e-14 relative error = 3.785329375424016e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1518180116587773 y2[1] (numeric) = 0.1518180116590258 absolute error = 2.484956684867257e-13 relative error = 1.636799650921782e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.294999999999748 y1[1] (analytic) = 0.9882561516218469 y1[1] (numeric) = 0.9882561516218091 absolute error = 3.774758283725532e-14 relative error = 3.819615266275551e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1528063440488554 y2[1] (numeric) = 0.1528063440491039 absolute error = 2.485511796379569e-13 relative error = 1.626576312554732e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.295999999999748 y1[1] (analytic) = 0.9881028511752311 y1[1] (numeric) = 0.9881028511751931 absolute error = 3.796962744218035e-14 relative error = 3.842679676211843e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1537945236326021 y2[1] (numeric) = 0.1537945236328507 absolute error = 2.486344463648038e-13 relative error = 1.61666644879218e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.296999999999747 y1[1] (analytic) = 0.9879485626258465 y1[1] (numeric) = 0.9879485626258083 absolute error = 3.819167204710538e-14 relative error = 3.865755110326452e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.154782549421838 y2[1] (numeric) = 0.1547825494220867 absolute error = 2.487177130916507e-13 relative error = 1.606884716789395e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.297999999999747 y1[1] (analytic) = 0.9877932861279817 y1[1] (numeric) = 0.9877932861279431 absolute error = 3.852473895449293e-14 relative error = 3.900081069137936e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1557704204285374 y2[1] (numeric) = 0.1557704204287862 absolute error = 2.488009798184976e-13 relative error = 1.597228659549261e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.298999999999747 y1[1] (analytic) = 0.987637021836913 y1[1] (numeric) = 0.9876370218368742 absolute error = 3.885780586188048e-14 relative error = 3.934421756447381e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1567581356648294 y2[1] (numeric) = 0.1567581356650782 absolute error = 2.488564909697288e-13 relative error = 1.587518822639091e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.299999999999747 y1[1] (analytic) = 0.9874797699089047 y1[1] (numeric) = 0.9874797699088657 absolute error = 3.907985046680551e-14 relative error = 3.957534286541448e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1577456941429987 y2[1] (numeric) = 0.1577456941432476 absolute error = 2.489397576965757e-13 relative error = 1.578108100186293e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.300999999999747 y1[1] (analytic) = 0.987321530501209 y1[1] (numeric) = 0.9873215305011696 absolute error = 3.941291737419306e-14 relative error = 3.991902957305639e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.158733094875487 y2[1] (numeric) = 0.158733094875736 absolute error = 2.48995268847807e-13 relative error = 1.568641177462855e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.301999999999747 y1[1] (analytic) = 0.9871623037720648 y1[1] (numeric) = 0.9871623037720252 absolute error = 3.963496197911809e-14 relative error = 4.015040062578178e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1597203368748937 y2[1] (numeric) = 0.1597203368751428 absolute error = 2.490785355746539e-13 relative error = 1.559466630537806e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.302999999999747 y1[1] (analytic) = 0.9870020898806993 y1[1] (numeric) = 0.9870020898806593 absolute error = 3.996802888650564e-14 relative error = 4.049437108216928e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1607074191539768 y2[1] (numeric) = 0.160707419154226 absolute error = 2.491618023015008e-13 relative error = 1.550406344729947e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.303999999999747 y1[1] (analytic) = 0.986840888987326 y1[1] (numeric) = 0.9868408889872858 absolute error = 4.019007349143067e-14 relative error = 4.072599133247591e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1616943407256542 y2[1] (numeric) = 0.1616943407259034 absolute error = 2.49217313452732e-13 relative error = 1.541286555449566e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.304999999999747 y1[1] (analytic) = 0.9866787012531462 y1[1] (numeric) = 0.9866787012531056 absolute error = 4.052314039881821e-14 relative error = 4.107024946150271e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1626811006030043 y2[1] (numeric) = 0.1626811006032536 absolute error = 2.493005801795789e-13 relative error = 1.532449554714747e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.305999999999746 y1[1] (analytic) = 0.9865155268403472 y1[1] (numeric) = 0.9865155268403064 absolute error = 4.074518500374325e-14 relative error = 4.13021223642e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1636676977992674 y2[1] (numeric) = 0.1636676977995168 absolute error = 2.493838469064258e-13 relative error = 1.523720625754058e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.306999999999746 y1[1] (analytic) = 0.9863513659121035 y1[1] (numeric) = 0.9863513659120625 absolute error = 4.096722960866828e-14 relative error = 4.153411352635464e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1646541313278463 y2[1] (numeric) = 0.1646541313280958 absolute error = 2.494671136332727e-13 relative error = 1.515097809095075e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.307999999999746 y1[1] (analytic) = 0.9861862186325762 y1[1] (numeric) = 0.9861862186325349 absolute error = 4.130029651605582e-14 relative error = 4.187880111863852e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1656404002023076 y2[1] (numeric) = 0.1656404002025572 absolute error = 2.495226247845039e-13 relative error = 1.506411627113587e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.308999999999746 y1[1] (analytic) = 0.9860200851669124 y1[1] (numeric) = 0.9860200851668708 absolute error = 4.163336342344337e-14 relative error = 4.222364640411531e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1666265034363826 y2[1] (numeric) = 0.1666265034366321 absolute error = 2.495781359357352e-13 relative error = 1.497829761704286e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y1[1] (analytic) = 0.9858529656812456 y1[1] (numeric) = 0.9858529656812037 absolute error = 4.18554080283684e-14 relative error = 4.245603501273176e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1676124400439679 y2[1] (numeric) = 0.1676124400442175 absolute error = 2.496614026625821e-13 relative error = 1.489515948798855e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.310999999999746 y1[1] (analytic) = 0.9856848603426953 y1[1] (numeric) = 0.9856848603426531 absolute error = 4.218847493575595e-14 relative error = 4.280117980212071e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1685982090391272 y2[1] (numeric) = 0.1685982090393769 absolute error = 2.497169138138133e-13 relative error = 1.481136218688187e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.311999999999746 y1[1] (analytic) = 0.9855157693193668 y1[1] (numeric) = 0.9855157693193244 absolute error = 4.241051954068098e-14 relative error = 4.303383148295154e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1695838094360915 y2[1] (numeric) = 0.1695838094363412 absolute error = 2.497724249650446e-13 relative error = 1.472855373373203e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.312999999999746 y1[1] (analytic) = 0.9853456927803511 y1[1] (numeric) = 0.9853456927803084 absolute error = 4.274358644806853e-14 relative error = 4.337927974035072e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1705692402492605 y2[1] (numeric) = 0.1705692402495103 absolute error = 2.498279361162759e-13 relative error = 1.464671682603447e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.313999999999746 y1[1] (analytic) = 0.9851746308957248 y1[1] (numeric) = 0.9851746308956817 absolute error = 4.307665335545607e-14 relative error = 4.372489100362908e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1715545004932034 y2[1] (numeric) = 0.1715545004934533 absolute error = 2.499112028431227e-13 relative error = 1.456745244949279e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.314999999999745 y1[1] (analytic) = 0.9850025838365496 y1[1] (numeric) = 0.9850025838365063 absolute error = 4.329869796038111e-14 relative error = 4.395795368549617e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1725395891826602 y2[1] (numeric) = 0.1725395891829101 absolute error = 2.49966713994354e-13 relative error = 1.448749908229613e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.315999999999745 y1[1] (analytic) = 0.9848295517748726 y1[1] (numeric) = 0.9848295517748291 absolute error = 4.352074256530614e-14 relative error = 4.419114199698058e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1735245053325421 y2[1] (numeric) = 0.1735245053327922 absolute error = 2.500499807212009e-13 relative error = 1.441006734132482e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.316999999999745 y1[1] (analytic) = 0.984655534883726 y1[1] (numeric) = 0.9846555348836822 absolute error = 4.385380947269368e-14 relative error = 4.453720912448047e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1745092479579332 y2[1] (numeric) = 0.1745092479581833 absolute error = 2.501054918724321e-13 relative error = 1.433193339602965e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.317999999999745 y1[1] (analytic) = 0.9844805333371266 y1[1] (numeric) = 0.9844805333370824 absolute error = 4.418687638008123e-14 relative error = 4.488344348496104e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1754938160740908 y2[1] (numeric) = 0.175493816074341 absolute error = 2.50188758599279e-13 relative error = 1.425627205540126e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.318999999999745 y1[1] (analytic) = 0.9843045473100758 y1[1] (numeric) = 0.9843045473100314 absolute error = 4.440892098500626e-14 relative error = 4.511705356474042e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1764782086964471 y2[1] (numeric) = 0.1764782086966973 absolute error = 2.502442697505103e-13 relative error = 1.417989629421869e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y1[1] (analytic) = 0.9841275769785598 y1[1] (numeric) = 0.9841275769785151 absolute error = 4.474198789239381e-14 relative error = 4.546360547050147e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1774624248406093 y2[1] (numeric) = 0.1774624248408596 absolute error = 2.502997809017415e-13 relative error = 1.410438187839213e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.320999999999745 y1[1] (analytic) = 0.9839496225195488 y1[1] (numeric) = 0.9839496225195038 absolute error = 4.496403249731884e-14 relative error = 4.569749453450856e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1784464635223615 y2[1] (numeric) = 0.1784464635226118 absolute error = 2.503552920529728e-13 relative error = 1.402971440908384e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.321999999999745 y1[1] (analytic) = 0.9837706841109972 y1[1] (numeric) = 0.983770684110952 absolute error = 4.518607710224387e-14 relative error = 4.593151415472104e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.179430323757665 y2[1] (numeric) = 0.1794303237579154 absolute error = 2.504385587798197e-13 relative error = 1.395742667878463e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.322999999999745 y1[1] (analytic) = 0.9835907619318436 y1[1] (numeric) = 0.9835907619317981 absolute error = 4.551914400963142e-14 relative error = 4.627853958309706e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1804140045626597 y2[1] (numeric) = 0.1804140045629102 absolute error = 2.504940699310509e-13 relative error = 1.388440274014602e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.323999999999744 y1[1] (analytic) = 0.9834098561620099 y1[1] (numeric) = 0.9834098561619642 absolute error = 4.574118861455645e-14 relative error = 4.651284337648626e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1813975049536649 y2[1] (numeric) = 0.1813975049539154 absolute error = 2.505495810822822e-13 relative error = 1.381218452515547e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.324999999999744 y1[1] (analytic) = 0.9832279669824021 y1[1] (numeric) = 0.983227966982356 absolute error = 4.6074255521944e-14 relative error = 4.686019628118312e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1823808239471802 y2[1] (numeric) = 0.1823808239474309 absolute error = 2.506328478091291e-13 relative error = 1.374228070609635e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.325999999999744 y1[1] (analytic) = 0.9830450945749093 y1[1] (numeric) = 0.9830450945748629 absolute error = 4.640732242933154e-14 relative error = 4.720772494104058e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1833639605598868 y2[1] (numeric) = 0.1833639605601375 absolute error = 2.506883589603603e-13 relative error = 1.367162653963756e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.326999999999744 y1[1] (analytic) = 0.9828612391224038 y1[1] (numeric) = 0.9828612391223571 absolute error = 4.662936703425657e-14 relative error = 4.744247222109594e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1843469138086481 y2[1] (numeric) = 0.1843469138088989 absolute error = 2.507438701115916e-13 relative error = 1.360173951009906e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.327999999999744 y1[1] (analytic) = 0.982676400808741 y1[1] (numeric) = 0.9826764008086941 absolute error = 4.685141163918161e-14 relative error = 4.767735502818931e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.185329682710511 y2[1] (numeric) = 0.1853296827107618 absolute error = 2.508271368384385e-13 relative error = 1.353410490807541e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.328999999999744 y1[1] (analytic) = 0.9824905798187593 y1[1] (numeric) = 0.9824905798187121 absolute error = 4.718447854656915e-14 relative error = 4.802537501710531e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1863122662827066 y2[1] (numeric) = 0.1863122662829575 absolute error = 2.508826479896697e-13 relative error = 1.346570749179688e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y1[1] (analytic) = 0.9823037763382797 y1[1] (numeric) = 0.9823037763382323 absolute error = 4.740652315149418e-14 relative error = 4.826055268586143e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1872946635426515 y2[1] (numeric) = 0.1872946635429024 absolute error = 2.50938159140901e-13 relative error = 1.33980410543708e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.330999999999744 y1[1] (analytic) = 0.9821159905541056 y1[1] (numeric) = 0.982115990554058 absolute error = 4.762856775641922e-14 relative error = 4.849586832360543e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1882768735079484 y2[1] (numeric) = 0.1882768735081994 absolute error = 2.509936702921323e-13 relative error = 1.333109402209912e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.331999999999744 y1[1] (analytic) = 0.9819272226540228 y1[1] (numeric) = 0.9819272226539749 absolute error = 4.785061236134425e-14 relative error = 4.873132270639183e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1892588951963875 y2[1] (numeric) = 0.1892588951966385 absolute error = 2.510491814433635e-13 relative error = 1.326485506442687e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.332999999999744 y1[1] (analytic) = 0.9817374728267991 y1[1] (numeric) = 0.9817374728267511 absolute error = 4.807265696626928e-14 relative error = 4.896691661147418e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1902407276259472 y2[1] (numeric) = 0.1902407276261983 absolute error = 2.511324481702104e-13 relative error = 1.32007720588616e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.333999999999743 y1[1] (analytic) = 0.9815467412621844 y1[1] (numeric) = 0.9815467412621361 absolute error = 4.829470157119431e-14 relative error = 4.920265081731257e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1912223698147951 y2[1] (numeric) = 0.1912223698150463 absolute error = 2.511879593214417e-13 relative error = 1.313590871009104e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.334999999999743 y1[1] (analytic) = 0.9813550281509104 y1[1] (numeric) = 0.9813550281508617 absolute error = 4.862776847858186e-14 relative error = 4.955165774226206e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1922038207812891 y2[1] (numeric) = 0.1922038207815403 absolute error = 2.512434704726729e-13 relative error = 1.307172091852252e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.335999999999743 y1[1] (analytic) = 0.9811623336846899 y1[1] (numeric) = 0.981162333684641 absolute error = 4.884981308350689e-14 relative error = 4.978769710823964e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1931850795439783 y2[1] (numeric) = 0.1931850795442296 absolute error = 2.512989816239042e-13 relative error = 1.300819826340141e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.336999999999743 y1[1] (analytic) = 0.9809686580562175 y1[1] (numeric) = 0.9809686580561683 absolute error = 4.918287999089443e-14 relative error = 5.013705543696979e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1941661451216042 y2[1] (numeric) = 0.1941661451218555 absolute error = 2.513544927751354e-13 relative error = 1.294533053729397e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.337999999999743 y1[1] (analytic) = 0.9807740014591688 y1[1] (numeric) = 0.9807740014591193 absolute error = 4.951594689828198e-14 relative error = 5.048660223926563e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.195147016533101 y2[1] (numeric) = 0.1951470165333525 absolute error = 2.514377595019823e-13 relative error = 1.28845300312e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.338999999999743 y1[1] (analytic) = 0.9805783640882003 y1[1] (numeric) = 0.9805783640881506 absolute error = 4.973799150320701e-14 relative error = 5.072311742209031e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1961276927975976 y2[1] (numeric) = 0.1961276927978491 absolute error = 2.514932706532136e-13 relative error = 1.282293525538756e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y1[1] (analytic) = 0.9803817461389496 y1[1] (numeric) = 0.9803817461388995 absolute error = 5.007105841059456e-14 relative error = 5.107302192007356e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1971081729344178 y2[1] (numeric) = 0.1971081729346693 absolute error = 2.515487818044448e-13 relative error = 1.276196608489394e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.340999999999743 y1[1] (analytic) = 0.9801841478080343 y1[1] (numeric) = 0.980184147807984 absolute error = 5.029310301551959e-14 relative error = 5.130985144780093e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1980884559630814 y2[1] (numeric) = 0.198088455963333 absolute error = 2.516042929556761e-13 relative error = 1.270161311179934e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.341999999999743 y1[1] (analytic) = 0.9799855692930529 y1[1] (numeric) = 0.9799855692930024 absolute error = 5.051514762044462e-14 relative error = 5.154682803838173e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.1990685409033056 y2[1] (numeric) = 0.1990685409035573 absolute error = 2.51687559682523e-13 relative error = 1.264326138828617e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.342999999999742 y1[1] (analytic) = 0.9797860107925839 y1[1] (numeric) = 0.9797860107925331 absolute error = 5.073719222536965e-14 relative error = 5.178395248195729e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2000484267750055 y2[1] (numeric) = 0.2000484267752572 absolute error = 2.517430708337542e-13 relative error = 1.258410650321633e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.343999999999742 y1[1] (analytic) = 0.9795854725061858 y1[1] (numeric) = 0.9795854725061347 absolute error = 5.10702591327572e-14 relative error = 5.213456157337481e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2010281125982952 y2[1] (numeric) = 0.201028112598547 absolute error = 2.517985819849855e-13 relative error = 1.252554076792943e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.344999999999742 y1[1] (analytic) = 0.9793839546343966 y1[1] (numeric) = 0.9793839546343454 absolute error = 5.129230373768223e-14 relative error = 5.237200741850995e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2020075973934891 y2[1] (numeric) = 0.202007597393741 absolute error = 2.518540931362168e-13 relative error = 1.24675554972139e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.345999999999742 y1[1] (analytic) = 0.9791814573787346 y1[1] (numeric) = 0.979181457378683 absolute error = 5.162537064506978e-14 relative error = 5.272298638423027e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2029868801811025 y2[1] (numeric) = 0.2029868801813544 absolute error = 2.51909604287448e-13 relative error = 1.241014217582423e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.346999999999742 y1[1] (analytic) = 0.9789779809416969 y1[1] (numeric) = 0.9789779809416449 absolute error = 5.195843755245733e-14 relative error = 5.307416363182913e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2039659599818526 y2[1] (numeric) = 0.2039659599821046 absolute error = 2.519651154386793e-13 relative error = 1.235329245434372e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.347999999999742 y1[1] (analytic) = 0.9787735255267597 y1[1] (numeric) = 0.9787735255267075 absolute error = 5.218048215738236e-14 relative error = 5.331211030590522e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2049448358166597 y2[1] (numeric) = 0.2049448358169117 absolute error = 2.520206265899105e-13 relative error = 1.229699814516742e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.348999999999742 y1[1] (analytic) = 0.9785680913383785 y1[1] (numeric) = 0.9785680913383261 absolute error = 5.240252676230739e-14 relative error = 5.355020997122125e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2059235067066481 y2[1] (numeric) = 0.2059235067069002 absolute error = 2.520761377411418e-13 relative error = 1.224125121860135e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y1[1] (analytic) = 0.9783616785819875 y1[1] (numeric) = 0.9783616785819349 absolute error = 5.262457136723242e-14 relative error = 5.378846342745673e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2069019716731469 y2[1] (numeric) = 0.206901971673399 absolute error = 2.521594044679887e-13 relative error = 1.218738528341997e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.350999999999742 y1[1] (analytic) = 0.9781542874639996 y1[1] (numeric) = 0.9781542874639466 absolute error = 5.295763827461997e-14 relative error = 5.414037330646475e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2078802297376913 y2[1] (numeric) = 0.2078802297379435 absolute error = 2.522426711948356e-13 relative error = 1.2134038504437e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.351999999999741 y1[1] (analytic) = 0.9779459181918057 y1[1] (numeric) = 0.9779459181917524 absolute error = 5.329070518200751e-14 relative error = 5.449248694707016e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2088582799220233 y2[1] (numeric) = 0.2088582799222755 absolute error = 2.522704267704512e-13 relative error = 1.207854564658082e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.352999999999741 y1[1] (analytic) = 0.977736570973775 y1[1] (numeric) = 0.9777365709737215 absolute error = 5.351274978693255e-14 relative error = 5.473125520265302e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2098361212480927 y2[1] (numeric) = 0.2098361212483451 absolute error = 2.523259379216825e-13 relative error = 1.202490478859706e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.353999999999741 y1[1] (analytic) = 0.9775262460192549 y1[1] (numeric) = 0.977526246019201 absolute error = 5.384581669432009e-14 relative error = 5.50837554629295e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2108137527380584 y2[1] (numeric) = 0.2108137527383108 absolute error = 2.523814490729137e-13 relative error = 1.197177346330456e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.354999999999741 y1[1] (analytic) = 0.9773149435385702 y1[1] (numeric) = 0.977314943538516 absolute error = 5.417888360170764e-14 relative error = 5.543646289244471e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.211791173414289 y2[1] (numeric) = 0.2117911734145414 absolute error = 2.524092046485293e-13 relative error = 1.19178339956022e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.355999999999741 y1[1] (analytic) = 0.9771026637430233 y1[1] (numeric) = 0.9771026637429689 absolute error = 5.440092820663267e-14 relative error = 5.567575468296957e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2127683822993637 y2[1] (numeric) = 0.2127683822996162 absolute error = 2.524924713753762e-13 relative error = 1.186701090860958e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.356999999999741 y1[1] (analytic) = 0.9768894068448942 y1[1] (numeric) = 0.9768894068448396 absolute error = 5.46229728115577e-14 relative error = 5.591520639780105e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2137453784160739 y2[1] (numeric) = 0.2137453784163265 absolute error = 2.525479825266075e-13 relative error = 1.181536575892654e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.357999999999741 y1[1] (analytic) = 0.9766751730574398 y1[1] (numeric) = 0.9766751730573848 absolute error = 5.495603971894525e-14 relative error = 5.62684925704702e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2147221607874235 y2[1] (numeric) = 0.2147221607876761 absolute error = 2.526034936778387e-13 relative error = 1.176420229525904e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.358999999999741 y1[1] (analytic) = 0.9764599625948935 y1[1] (numeric) = 0.9764599625948384 absolute error = 5.517808432387028e-14 relative error = 5.650829162235928e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2156987284366302 y2[1] (numeric) = 0.2156987284368829 absolute error = 2.5265900482907e-13 relative error = 1.171351387466794e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y1[1] (analytic) = 0.9762437756724661 y1[1] (numeric) = 0.9762437756724106 absolute error = 5.551115123125783e-14 relative error = 5.686197711531638e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2166750803871264 y2[1] (numeric) = 0.2166750803873791 absolute error = 2.527145159803013e-13 relative error = 1.166329397588243e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36099999999974 y1[1] (analytic) = 0.9760266125063444 y1[1] (numeric) = 0.9760266125062885 absolute error = 5.584421813864537e-14 relative error = 5.72158765171809e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2176512156625603 y2[1] (numeric) = 0.2176512156628131 absolute error = 2.527700271315325e-13 relative error = 1.161353619652735e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36199999999974 y1[1] (analytic) = 0.9758084733136915 y1[1] (numeric) = 0.9758084733136353 absolute error = 5.617728504603292e-14 relative error = 5.756999102012686e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2186271332867967 y2[1] (numeric) = 0.2186271332870496 absolute error = 2.528255382827638e-13 relative error = 1.156423425042606e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36299999999974 y1[1] (analytic) = 0.9755893583126465 y1[1] (numeric) = 0.9755893583125901 absolute error = 5.639932965095795e-14 relative error = 5.781052157898149e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.219602832283918 y2[1] (numeric) = 0.2196028322841709 absolute error = 2.52881049433995e-13 relative error = 1.151538196497633e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36399999999974 y1[1] (analytic) = 0.9753692677223246 y1[1] (numeric) = 0.9753692677222678 absolute error = 5.67323965583455e-14 relative error = 5.816504418970119e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2205783116782254 y2[1] (numeric) = 0.2205783116784783 absolute error = 2.529365605852263e-13 relative error = 1.146697327859705e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36499999999974 y1[1] (analytic) = 0.9751482017628162 y1[1] (numeric) = 0.9751482017627592 absolute error = 5.706546346573305e-14 relative error = 5.851978536449477e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2215535704942394 y2[1] (numeric) = 0.2215535704944924 absolute error = 2.529920717364575e-13 relative error = 1.141900223824357e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36599999999974 y1[1] (analytic) = 0.9749261606551873 y1[1] (numeric) = 0.97492616065513 absolute error = 5.728750807065808e-14 relative error = 5.876086865097425e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2225286077567014 y2[1] (numeric) = 0.2225286077569545 absolute error = 2.530753384633044e-13 relative error = 1.137271027822189e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36699999999974 y1[1] (analytic) = 0.974703144621479 y1[1] (numeric) = 0.9747031446214215 absolute error = 5.750955267558311e-14 relative error = 5.900212079229174e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2235034224905742 y2[1] (numeric) = 0.2235034224908273 absolute error = 2.531308496145357e-13 relative error = 1.132559165286209e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36799999999974 y1[1] (analytic) = 0.9744791538847074 y1[1] (numeric) = 0.9744791538846496 absolute error = 5.784261958297066e-14 relative error = 5.935747250455204e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2244780137210431 y2[1] (numeric) = 0.2244780137212963 absolute error = 2.531586051901513e-13 relative error = 1.127765704060217e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.36899999999974 y1[1] (analytic) = 0.974254188668863 y1[1] (numeric) = 0.974254188668805 absolute error = 5.806466418789569e-14 relative error = 5.959909114399625e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.225452380473517 y2[1] (numeric) = 0.2254523804737702 absolute error = 2.532141163413826e-13 relative error = 1.123137914133165e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.369999999999739 y1[1] (analytic) = 0.9740282491989112 y1[1] (numeric) = 0.9740282491988529 absolute error = 5.828670879282072e-14 relative error = 5.984088124831962e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2264265217736292 y2[1] (numeric) = 0.2264265217738825 absolute error = 2.532696274926138e-13 relative error = 1.118551066848172e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.370999999999739 y1[1] (analytic) = 0.9738013357007913 y1[1] (numeric) = 0.9738013357007328 absolute error = 5.850875339774575e-14 relative error = 6.008284364863827e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2274004366472386 y2[1] (numeric) = 0.2274004366474919 absolute error = 2.533251386438451e-13 relative error = 1.114004627162713e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.371999999999739 y1[1] (analytic) = 0.9735734484014169 y1[1] (numeric) = 0.9735734484013581 absolute error = 5.88418203051333e-14 relative error = 6.04390150550532e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2283741241204302 y2[1] (numeric) = 0.2283741241206836 absolute error = 2.533806497950764e-13 relative error = 1.10949806932356e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.372999999999739 y1[1] (analytic) = 0.9733445875286753 y1[1] (numeric) = 0.9733445875286161 absolute error = 5.917488721252084e-14 relative error = 6.07954140503992e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2293475832195167 y2[1] (numeric) = 0.2293475832197701 absolute error = 2.534361609463076e-13 relative error = 1.105030876666073e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.373999999999739 y1[1] (analytic) = 0.973114753311427 y1[1] (numeric) = 0.9731147533113677 absolute error = 5.939693181744587e-14 relative error = 6.10379522202527e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2303208129710391 y2[1] (numeric) = 0.2303208129712926 absolute error = 2.534916720975389e-13 relative error = 1.100602541418666e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.374999999999739 y1[1] (analytic) = 0.9728839459795068 y1[1] (numeric) = 0.9728839459794471 absolute error = 5.972999872483342e-14 relative error = 6.139478297660346e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2312938124017678 y2[1] (numeric) = 0.2312938124020213 absolute error = 2.535471832487701e-13 relative error = 1.096212564512306e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.375999999999739 y1[1] (analytic) = 0.9726521657637216 y1[1] (numeric) = 0.9726521657636615 absolute error = 6.006306563222097e-14 relative error = 6.1751844848934e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2322665805387033 y2[1] (numeric) = 0.2322665805389569 absolute error = 2.535749388243858e-13 relative error = 1.091740956603663e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.376999999999739 y1[1] (analytic) = 0.9724194128958517 y1[1] (numeric) = 0.9724194128957914 absolute error = 6.0285110237146e-14 relative error = 6.19949678478937e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2332391164090776 y2[1] (numeric) = 0.2332391164093313 absolute error = 2.53630449975617e-13 relative error = 1.087426731332557e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.377999999999739 y1[1] (analytic) = 0.9721856876086498 y1[1] (numeric) = 0.9721856876085893 absolute error = 6.050715484207103e-14 relative error = 6.223826951300274e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.234211419040355 y2[1] (numeric) = 0.2342114190406087 absolute error = 2.536582055512326e-13 relative error = 1.083030906821528e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.378999999999738 y1[1] (analytic) = 0.9719509901358414 y1[1] (numeric) = 0.9719509901357806 absolute error = 6.084022174945858e-14 relative error = 6.259597692364658e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2351834874602328 y2[1] (numeric) = 0.2351834874604866 absolute error = 2.537137167024639e-13 relative error = 1.078790519871699e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.379999999999738 y1[1] (analytic) = 0.9717153207121239 y1[1] (numeric) = 0.9717153207120628 absolute error = 6.106226635438361e-14 relative error = 6.283966615822625e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2361553206966428 y2[1] (numeric) = 0.2361553206968966 absolute error = 2.537692278536952e-13 relative error = 1.074586111822899e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.380999999999738 y1[1] (analytic) = 0.9714786795731666 y1[1] (numeric) = 0.9714786795731053 absolute error = 6.128431095930864e-14 relative error = 6.308353672386799e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2371269177777518 y2[1] (numeric) = 0.2371269177780056 absolute error = 2.537969834293108e-13 relative error = 1.070300182736669e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.381999999999738 y1[1] (analytic) = 0.9712410669556107 y1[1] (numeric) = 0.9712410669555491 absolute error = 6.161737786669619e-14 relative error = 6.34418991979386e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2380982777319627 y2[1] (numeric) = 0.2380982777322166 absolute error = 2.53852494580542e-13 relative error = 1.066166866046442e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.382999999999738 y1[1] (analytic) = 0.9710024830970688 y1[1] (numeric) = 0.971002483097007 absolute error = 6.183942247162122e-14 relative error = 6.368616306147929e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2390693995879158 y2[1] (numeric) = 0.2390693995881697 absolute error = 2.539080057317733e-13 relative error = 1.062068195132605e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.383999999999738 y1[1] (analytic) = 0.9707629282361248 y1[1] (numeric) = 0.9707629282360626 absolute error = 6.217248937900877e-14 relative error = 6.404497696669991e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2400402823744892 y2[1] (numeric) = 0.2400402823747431 absolute error = 2.539357613073889e-13 relative error = 1.05788811275943e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.384999999999738 y1[1] (analytic) = 0.9705224026123334 y1[1] (numeric) = 0.9705224026122709 absolute error = 6.250555628639631e-14 relative error = 6.440403242434333e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2410109251208002 y2[1] (numeric) = 0.2410109251210542 absolute error = 2.539912724586202e-13 relative error = 1.053857920886009e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.385999999999738 y1[1] (analytic) = 0.9702809064662202 y1[1] (numeric) = 0.9702809064661574 absolute error = 6.283862319378386e-14 relative error = 6.476333067569392e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2419813268562062 y2[1] (numeric) = 0.2419813268564602 absolute error = 2.540190280342358e-13 relative error = 1.049746405371117e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.386999999999738 y1[1] (analytic) = 0.9700384400392814 y1[1] (numeric) = 0.9700384400392184 absolute error = 6.306066779870889e-14 relative error = 6.500842151797126e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2429514866103055 y2[1] (numeric) = 0.2429514866105595 absolute error = 2.540745391854671e-13 relative error = 1.045783019195939e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.387999999999737 y1[1] (analytic) = 0.9697950035739834 y1[1] (numeric) = 0.9697950035739201 absolute error = 6.328271240363392e-14 relative error = 6.525370018449083e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2439214034129384 y2[1] (numeric) = 0.2439214034131925 absolute error = 2.541300503366983e-13 relative error = 1.041852198211887e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.388999999999737 y1[1] (analytic) = 0.9695505973137627 y1[1] (numeric) = 0.9695505973136991 absolute error = 6.361577931102147e-14 relative error = 6.561367657064559e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2448910762941882 y2[1] (numeric) = 0.2448910762944424 absolute error = 2.54157805912314e-13 relative error = 1.037840209444764e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.389999999999737 y1[1] (analytic) = 0.9693052215030254 y1[1] (numeric) = 0.9693052215029616 absolute error = 6.38378239159465e-14 relative error = 6.585936245856408e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2458605042843822 y2[1] (numeric) = 0.2458605042846364 absolute error = 2.542133170635452e-13 relative error = 1.033973788524819e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.390999999999737 y1[1] (analytic) = 0.9690588763871475 y1[1] (numeric) = 0.9690588763870833 absolute error = 6.417089082333405e-14 relative error = 6.621980602724206e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2468296864140924 y2[1] (numeric) = 0.2468296864143466 absolute error = 2.542410726391608e-13 relative error = 1.030026316253689e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.391999999999737 y1[1] (analytic) = 0.9688115622124739 y1[1] (numeric) = 0.9688115622124095 absolute error = 6.439293542825908e-14 relative error = 6.646590311247422e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2477986217141367 y2[1] (numeric) = 0.247798621714391 absolute error = 2.542965837903921e-13 relative error = 1.02622275310212e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.392999999999737 y1[1] (analytic) = 0.9685632792263188 y1[1] (numeric) = 0.9685632792262542 absolute error = 6.461498003318411e-14 relative error = 6.671219260428506e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2487673092155799 y2[1] (numeric) = 0.2487673092158343 absolute error = 2.543520949416234e-13 relative error = 1.022449837736532e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.393999999999737 y1[1] (analytic) = 0.9683140276769653 y1[1] (numeric) = 0.9683140276769003 absolute error = 6.494804694057166e-14 relative error = 6.707333063880664e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2497357479497347 y2[1] (numeric) = 0.2497357479499891 absolute error = 2.54379850517239e-13 relative error = 1.018596066464778e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.394999999999737 y1[1] (analytic) = 0.9680638078136646 y1[1] (numeric) = 0.9680638078135995 absolute error = 6.517009154549669e-14 relative error = 6.732003719122696e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2507039369481623 y2[1] (numeric) = 0.2507039369484168 absolute error = 2.544631172440859e-13 relative error = 1.014994500452144e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.395999999999737 y1[1] (analytic) = 0.9678126198866369 y1[1] (numeric) = 0.9678126198865714 absolute error = 6.550315845288424e-14 relative error = 6.76816535628114e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2516718752426739 y2[1] (numeric) = 0.2516718752429284 absolute error = 2.545186283953171e-13 relative error = 1.011311367827249e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.396999999999736 y1[1] (analytic) = 0.96756046414707 y1[1] (numeric) = 0.9675604641470041 absolute error = 6.583622536027178e-14 relative error = 6.804352575351262e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2526395618653312 y2[1] (numeric) = 0.2526395618655857 absolute error = 2.545741395465484e-13 relative error = 1.007657461352979e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.397999999999736 y1[1] (analytic) = 0.9673073408471196 y1[1] (numeric) = 0.9673073408470534 absolute error = 6.616929226765933e-14 relative error = 6.840565503174158e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2536069958484476 y2[1] (numeric) = 0.2536069958487023 absolute error = 2.546296506977797e-13 relative error = 1.004032439428221e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.398999999999736 y1[1] (analytic) = 0.9670532502399088 y1[1] (numeric) = 0.9670532502398423 absolute error = 6.650235917504688e-14 relative error = 6.876804266833167e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2545741762245894 y2[1] (numeric) = 0.2545741762248441 absolute error = 2.546296506977797e-13 relative error = 1.000217910842384e-10 % Correct digits = 11 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.399999999999736 y1[1] (analytic) = 0.9667981925795285 y1[1] (numeric) = 0.9667981925794616 absolute error = 6.683542608243442e-14 relative error = 6.913068993655216e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2555411020265762 y2[1] (numeric) = 0.2555411020268309 absolute error = 2.546851618490109e-13 relative error = 9.966504794305995e-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 y1[1] (analytic) = 0.9665421681210361 y1[1] (numeric) = 0.9665421681209689 absolute error = 6.716849298982197e-14 relative error = 6.949359811212161e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2565077722874822 y2[1] (numeric) = 0.256507772287737 absolute error = 2.547406730002422e-13 relative error = 9.931109327741555e-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 y1[1] (analytic) = 0.9662851771204561 y1[1] (numeric) = 0.9662851771203887 absolute error = 6.7390537594747e-14 relative error = 6.974187247244316e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2574741860406374 y2[1] (numeric) = 0.2574741860408921 absolute error = 2.547406730002422e-13 relative error = 9.893833510751878e-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 y1[1] (analytic) = 0.9660272198347796 y1[1] (numeric) = 0.966027219834712 absolute error = 6.761258219967203e-14 relative error = 6.999034893782379e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2584403423196279 y2[1] (numeric) = 0.2584403423198827 absolute error = 2.547961841514734e-13 relative error = 9.858994221434381e-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 y1[1] (analytic) = 0.9657682965219637 y1[1] (numeric) = 0.9657682965218958 absolute error = 6.794564910705958e-14 relative error = 7.035398589056329e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2594062401582977 y2[1] (numeric) = 0.2594062401585525 absolute error = 2.547961841514734e-13 relative error = 9.822284305727917e-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 y1[1] (analytic) = 0.9655084074409318 y1[1] (numeric) = 0.9655084074408635 absolute error = 6.827871601444713e-14 relative error = 7.071788861520018e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2603718785907488 y2[1] (numeric) = 0.2603718785910037 absolute error = 2.548516953027047e-13 relative error = 9.787988498684193e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.405999999999735 y1[1] (analytic) = 0.9652475528515729 y1[1] (numeric) = 0.9652475528515043 absolute error = 6.861178292183467e-14 relative error = 7.108205839956703e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2613372566513432 y2[1] (numeric) = 0.2613372566515981 absolute error = 2.549072064539359e-13 relative error = 9.753955854599571e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.406999999999735 y1[1] (analytic) = 0.9649857330147416 y1[1] (numeric) = 0.9649857330146727 absolute error = 6.883382752675971e-14 relative error = 7.133144581496954e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2623023733747026 y2[1] (numeric) = 0.2623023733749575 absolute error = 2.549072064539359e-13 relative error = 9.718067098455011e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.407999999999735 y1[1] (analytic) = 0.9647229481922577 y1[1] (numeric) = 0.9647229481921885 absolute error = 6.916689443414725e-14 relative error = 7.169612225329082e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2632672277957105 y2[1] (numeric) = 0.2632672277959655 absolute error = 2.549627176051672e-13 relative error = 9.684559667373888e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.408999999999735 y1[1] (analytic) = 0.964459198646906 y1[1] (numeric) = 0.9644591986468365 absolute error = 6.94999613415348e-14 relative error = 7.206106949784936e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2642318189495126 y2[1] (numeric) = 0.2642318189497676 absolute error = 2.549627176051672e-13 relative error = 9.649205709547173e-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 y1[1] (analytic) = 0.964194484642436 y1[1] (numeric) = 0.9641944846423662 absolute error = 6.972200594645983e-14 relative error = 7.231114371320605e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2651961458715177 y2[1] (numeric) = 0.2651961458717728 absolute error = 2.550182287563985e-13 relative error = 9.616211725789926e-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 y1[1] (analytic) = 0.9639288064435617 y1[1] (numeric) = 0.9639288064434917 absolute error = 7.005507285384738e-14 relative error = 7.267660473009126e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2661602075973991 y2[1] (numeric) = 0.2661602075976542 absolute error = 2.550737399076297e-13 relative error = 9.583466372007829e-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 y1[1] (analytic) = 0.9636621643159613 y1[1] (numeric) = 0.963662164315891 absolute error = 7.027711745877241e-14 relative error = 7.292713158314915e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2671240031630951 y2[1] (numeric) = 0.2671240031633502 absolute error = 2.550737399076297e-13 relative error = 9.548888788997821e-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 y1[1] (analytic) = 0.9633945585262769 y1[1] (numeric) = 0.9633945585262064 absolute error = 7.049916206369744e-14 relative error = 7.317787031259691e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2680875316048101 y2[1] (numeric) = 0.2680875316050653 absolute error = 2.55129251058861e-13 relative error = 9.516639939635423e-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 y1[1] (analytic) = 0.9631259893421142 y1[1] (numeric) = 0.9631259893420434 absolute error = 7.083222897108499e-14 relative error = 7.354409470298751e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2690507919590159 y2[1] (numeric) = 0.2690507919592711 absolute error = 2.55129251058861e-13 relative error = 9.482568298766592e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.414999999999734 y1[1] (analytic) = 0.9628564570320425 y1[1] (numeric) = 0.9628564570319714 absolute error = 7.105427357601002e-14 relative error = 7.379529218200532e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2700137832624522 y2[1] (numeric) = 0.2700137832627074 absolute error = 2.551847622100922e-13 relative error = 9.450805033980572e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.415999999999734 y1[1] (analytic) = 0.962585961865594 y1[1] (numeric) = 0.9625859618655226 absolute error = 7.138734048339757e-14 relative error = 7.416204194900299e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2709765045521277 y2[1] (numeric) = 0.2709765045523829 absolute error = 2.551847622100922e-13 relative error = 9.417228354608228e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.416999999999734 y1[1] (analytic) = 0.9623145041132638 y1[1] (numeric) = 0.9623145041131921 absolute error = 7.172040739078511e-14 relative error = 7.452907244380853e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2719389548653212 y2[1] (numeric) = 0.2719389548655764 absolute error = 2.552402733613235e-13 relative error = 9.385940072018452e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.417999999999734 y1[1] (analytic) = 0.9620420840465097 y1[1] (numeric) = 0.9620420840464377 absolute error = 7.205347429817266e-14 relative error = 7.489638498463987e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2729011332395825 y2[1] (numeric) = 0.2729011332398377 absolute error = 2.552402733613235e-13 relative error = 9.352847689981765e-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 y1[1] (analytic) = 0.9617687019377518 y1[1] (numeric) = 0.9617687019376794 absolute error = 7.238654120556021e-14 relative error = 7.526398089240927e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2738630387127333 y2[1] (numeric) = 0.2738630387129886 absolute error = 2.552402733613235e-13 relative error = 9.319997125609052e-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 y1[1] (analytic) = 0.961494358060372 y1[1] (numeric) = 0.9614943580602994 absolute error = 7.260858581048524e-14 relative error = 7.551639299991208e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2748246703228682 y2[1] (numeric) = 0.2748246703231235 absolute error = 2.552957845125547e-13 relative error = 9.289405649522997e-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 y1[1] (analytic) = 0.9612190526887143 y1[1] (numeric) = 0.9612190526886414 absolute error = 7.294165271787278e-14 relative error = 7.588452654349804e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2757860271083558 y2[1] (numeric) = 0.2757860271086111 absolute error = 2.552957845125547e-13 relative error = 9.257023903254154e-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 y1[1] (analytic) = 0.960942786098084 y1[1] (numeric) = 0.9609427860980109 absolute error = 7.316369732279782e-14 relative error = 7.613741252991721e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2767471081078391 y2[1] (numeric) = 0.2767471081080944 absolute error = 2.552957845125547e-13 relative error = 9.224876323299266e-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 y1[1] (analytic) = 0.9606655585647477 y1[1] (numeric) = 0.9606655585646743 absolute error = 7.338574192772285e-14 relative error = 7.639052037772908e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2777079123602375 y2[1] (numeric) = 0.2777079123604928 absolute error = 2.55351295663786e-13 relative error = 9.194959318715743e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.423999999999733 y1[1] (analytic) = 0.9603873703659329 y1[1] (numeric) = 0.9603873703658592 absolute error = 7.371880883511039e-14 relative error = 7.675945260194497e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2786684389047466 y2[1] (numeric) = 0.2786684389050019 absolute error = 2.55351295663786e-13 relative error = 9.163265731397349e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.424999999999733 y1[1] (analytic) = 0.9601082217798277 y1[1] (numeric) = 0.9601082217797537 absolute error = 7.394085344003543e-14 relative error = 7.70130405747026e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.27962868678084 y2[1] (numeric) = 0.2796286867810954 absolute error = 2.55351295663786e-13 relative error = 9.131798979691897e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.425999999999733 y1[1] (analytic) = 0.9598281130855808 y1[1] (numeric) = 0.9598281130855065 absolute error = 7.427392034742297e-14 relative error = 7.738252228167495e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.28058865502827 y2[1] (numeric) = 0.2805886550285254 absolute error = 2.554068068150173e-13 relative error = 9.102535054002252e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.426999999999733 y1[1] (analytic) = 0.9595470445633008 y1[1] (numeric) = 0.9595470445632263 absolute error = 7.4495964952348e-14 relative error = 7.763659465623371e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2815483426870682 y2[1] (numeric) = 0.2815483426873237 absolute error = 2.554623179662485e-13 relative error = 9.073479727429492e-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 y1[1] (analytic) = 0.9592650164940562 y1[1] (numeric) = 0.9592650164939813 absolute error = 7.482903185973555e-14 relative error = 7.8006630673578e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2825077487975474 y2[1] (numeric) = 0.2825077487978028 absolute error = 2.554623179662485e-13 relative error = 9.042665875664872e-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 y1[1] (analytic) = 0.958982029159875 y1[1] (numeric) = 0.9589820291597999 absolute error = 7.505107646466058e-14 relative error = 7.826119174559483e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2834668724003012 y2[1] (numeric) = 0.2834668724005567 absolute error = 2.555178291174798e-13 relative error = 9.014027881065665e-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 y1[1] (analytic) = 0.9586980828437446 y1[1] (numeric) = 0.9586980828436692 absolute error = 7.538414337204813e-14 relative error = 7.863178692132085e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2844257125362062 y2[1] (numeric) = 0.2844257125364618 absolute error = 2.555178291174798e-13 relative error = 8.983640291837306e-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 y1[1] (analytic) = 0.9584131778296112 y1[1] (numeric) = 0.9584131778295355 absolute error = 7.571721027943568e-14 relative error = 7.900268071324124e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2853842682464224 y2[1] (numeric) = 0.285384268246678 absolute error = 2.55573340268711e-13 relative error = 8.955410956571356e-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 y1[1] (analytic) = 0.9581273144023799 y1[1] (numeric) = 0.9581273144023039 absolute error = 7.593925488436071e-14 relative error = 7.925800020817368e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2863425385723942 y2[1] (numeric) = 0.2863425385726498 absolute error = 2.556288514199423e-13 relative error = 8.927379518754713e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.432999999999732 y1[1] (analytic) = 0.9578404928479141 y1[1] (numeric) = 0.9578404928478378 absolute error = 7.627232179174825e-14 relative error = 7.962946060566974e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2873005225558513 y2[1] (numeric) = 0.2873005225561069 absolute error = 2.556288514199423e-13 relative error = 8.897611781066218e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.433999999999732 y1[1] (analytic) = 0.9575527134530351 y1[1] (numeric) = 0.9575527134529586 absolute error = 7.649436639667329e-14 relative error = 7.988527975742099e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2882582192388097 y2[1] (numeric) = 0.2882582192390654 absolute error = 2.556843625711736e-13 relative error = 8.869976483111134e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.434999999999732 y1[1] (analytic) = 0.9572639765055225 y1[1] (numeric) = 0.9572639765054457 absolute error = 7.682743330406083e-14 relative error = 8.02573116608004e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2892156276635729 y2[1] (numeric) = 0.2892156276638286 absolute error = 2.556843625711736e-13 relative error = 8.8406136499856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.435999999999732 y1[1] (analytic) = 0.9569742822941132 y1[1] (numeric) = 0.9569742822940361 absolute error = 7.704947790898586e-14 relative error = 8.051363483277572e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2901727468727325 y2[1] (numeric) = 0.2901727468729883 absolute error = 2.557398737224048e-13 relative error = 8.813366399104678e-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 y1[1] (analytic) = 0.9566836311085014 y1[1] (numeric) = 0.956683631108424 absolute error = 7.738254481637341e-14 relative error = 8.088624316349062e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2911295759091695 y2[1] (numeric) = 0.2911295759094253 absolute error = 2.557953848736361e-13 relative error = 8.786307061892005e-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 y1[1] (analytic) = 0.9563920232393381 y1[1] (numeric) = 0.9563920232392605 absolute error = 7.760458942129844e-14 relative error = 8.114307473879653e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2920861138160548 y2[1] (numeric) = 0.2920861138163106 absolute error = 2.558508960248673e-13 relative error = 8.759433739667368e-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 y1[1] (analytic) = 0.9560994589782313 y1[1] (numeric) = 0.9560994589781535 absolute error = 7.782663402622347e-14 relative error = 8.140014440484632e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2930423596368506 y2[1] (numeric) = 0.2930423596371065 absolute error = 2.558508960248673e-13 relative error = 8.73085025461601e-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 y1[1] (analytic) = 0.9558059386177453 y1[1] (numeric) = 0.9558059386176672 absolute error = 7.815970093361102e-14 relative error = 8.17736088213084e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2939983124153112 y2[1] (numeric) = 0.2939983124155671 absolute error = 2.559064071760986e-13 relative error = 8.704349527510117e-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 y1[1] (analytic) = 0.9555114624514003 y1[1] (numeric) = 0.9555114624513218 absolute error = 7.849276784099857e-14 relative error = 8.214738485671584e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2949539711954839 y2[1] (numeric) = 0.2949539711957399 absolute error = 2.559064071760986e-13 relative error = 8.676147201506699e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.441999999999731 y1[1] (analytic) = 0.9552160307736723 y1[1] (numeric) = 0.9552160307735936 absolute error = 7.87148124459236e-14 relative error = 8.240524646782669e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.29590933502171 y2[1] (numeric) = 0.295909335021966 absolute error = 2.559619183273298e-13 relative error = 8.65001160941917e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.442999999999731 y1[1] (analytic) = 0.9549196438799933 y1[1] (numeric) = 0.9549196438799143 absolute error = 7.893685705084863e-14 relative error = 8.266335032141069e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2968644029386258 y2[1] (numeric) = 0.2968644029388817 absolute error = 2.559619183273298e-13 relative error = 8.622182915620497e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.443999999999731 y1[1] (analytic) = 0.9546223020667499 y1[1] (numeric) = 0.9546223020666708 absolute error = 7.915890165577366e-14 relative error = 8.292169739214688e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2978191739911633 y2[1] (numeric) = 0.2978191739914193 absolute error = 2.560174294785611e-13 relative error = 8.596405196065634e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.444999999999731 y1[1] (analytic) = 0.9543240056312841 y1[1] (numeric) = 0.9543240056312046 absolute error = 7.949196856316121e-14 relative error = 8.329662472503495e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2987736472245516 y2[1] (numeric) = 0.2987736472248076 absolute error = 2.560174294785611e-13 relative error = 8.568942805258326e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.445999999999731 y1[1] (analytic) = 0.9540247548718921 y1[1] (numeric) = 0.9540247548718123 absolute error = 7.982503547054876e-14 relative error = 8.367187021396294e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.2997278216843176 y2[1] (numeric) = 0.2997278216845737 absolute error = 2.560729406297924e-13 relative error = 8.543515886873395e-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 y1[1] (analytic) = 0.9537245500878249 y1[1] (numeric) = 0.9537245500877446 absolute error = 8.026912468039882e-14 relative error = 8.416384444859591e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3006816964162869 y2[1] (numeric) = 0.300681696416543 absolute error = 2.560729406297924e-13 relative error = 8.516412661024275e-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 y1[1] (analytic) = 0.9534233915792869 y1[1] (numeric) = 0.9534233915792064 absolute error = 8.049116928532385e-14 relative error = 8.442332126128686e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3016352704665849 y2[1] (numeric) = 0.301635270466841 absolute error = 2.561284517810236e-13 relative error = 8.491329657331883e-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 y1[1] (analytic) = 0.9531212796474368 y1[1] (numeric) = 0.953121279647356 absolute error = 8.071321389024888e-14 relative error = 8.468304675781135e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3025885428816376 y2[1] (numeric) = 0.3025885428818937 absolute error = 2.561284517810236e-13 relative error = 8.46457864338943e-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 y1[1] (analytic) = 0.9528182145943865 y1[1] (numeric) = 0.9528182145943055 absolute error = 8.104628079763643e-14 relative error = 8.505954184779908e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3035415127081725 y2[1] (numeric) = 0.3035415127084287 absolute error = 2.561839629322549e-13 relative error = 8.439832846802487e-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 y1[1] (analytic) = 0.952514196723201 y1[1] (numeric) = 0.9525141967231198 absolute error = 8.126832540256146e-14 relative error = 8.531980487234448e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.30449417899322 y2[1] (numeric) = 0.3044941789934762 absolute error = 2.562394740834861e-13 relative error = 8.415250331901802e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45199999999973 y1[1] (analytic) = 0.9522092263378982 y1[1] (numeric) = 0.9522092263378167 absolute error = 8.149037000748649e-14 relative error = 8.558031969600875e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.305446540784114 y2[1] (numeric) = 0.3054465407843702 absolute error = 2.562394740834861e-13 relative error = 8.389012146796358e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45299999999973 y1[1] (analytic) = 0.9519033037434483 y1[1] (numeric) = 0.9519033037433666 absolute error = 8.171241461241152e-14 relative error = 8.584108731535003e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3063985971284925 y2[1] (numeric) = 0.3063985971287488 absolute error = 2.562949852347174e-13 relative error = 8.36475713781537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45399999999973 y1[1] (analytic) = 0.9515964292457741 y1[1] (numeric) = 0.9515964292456921 absolute error = 8.204548151979907e-14 relative error = 8.621877825332689e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3073503470742996 y2[1] (numeric) = 0.3073503470745559 absolute error = 2.562949852347174e-13 relative error = 8.338854589702481e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.45499999999973 y1[1] (analytic) = 0.9512886031517499 y1[1] (numeric) = 0.9512886031516676 absolute error = 8.22675261247241e-14 relative error = 8.648009221613764e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3083017896697851 y2[1] (numeric) = 0.3083017896700415 absolute error = 2.563504963859486e-13 relative error = 8.314920800833485e-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 y1[1] (analytic) = 0.9509798257692019 y1[1] (numeric) = 0.9509798257691193 absolute error = 8.260059303211165e-14 relative error = 8.685840729092227e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3092529239635067 y2[1] (numeric) = 0.309252923963763 absolute error = 2.563504963859486e-13 relative error = 8.28934753794597e-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 y1[1] (analytic) = 0.9506700974069073 y1[1] (numeric) = 0.9506700974068244 absolute error = 8.293365993949919e-14 relative error = 8.723705538410534e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3102037490043301 y2[1] (numeric) = 0.3102037490045864 absolute error = 2.563504963859486e-13 relative error = 8.263939336928204e-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 y1[1] (analytic) = 0.9503594183745945 y1[1] (numeric) = 0.9503594183745113 absolute error = 8.315570454442422e-14 relative error = 8.749921654551067e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3111542638414302 y2[1] (numeric) = 0.3111542638416867 absolute error = 2.564060075371799e-13 relative error = 8.24047867355753e-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 y1[1] (analytic) = 0.9500477889829426 y1[1] (numeric) = 0.9500477889828591 absolute error = 8.348877145181177e-14 relative error = 8.78784966608777e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3121044675242926 y2[1] (numeric) = 0.312104467524549 absolute error = 2.564060075371799e-13 relative error = 8.215390493159879e-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 y1[1] (analytic) = 0.9497352095435808 y1[1] (numeric) = 0.9497352095434971 absolute error = 8.37108160567368e-14 relative error = 8.814121579947125e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3130543591027133 y2[1] (numeric) = 0.3130543591029697 absolute error = 2.564060075371799e-13 relative error = 8.190462776883196e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.460999999999729 y1[1] (analytic) = 0.9494216803690887 y1[1] (numeric) = 0.9494216803690047 absolute error = 8.404388296412435e-14 relative error = 8.852113312964604e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3140039376268011 y2[1] (numeric) = 0.3140039376270575 absolute error = 2.564060075371799e-13 relative error = 8.16569401884134e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.461999999999729 y1[1] (analytic) = 0.9491072017729952 y1[1] (numeric) = 0.949107201772911 absolute error = 8.426592756904938e-14 relative error = 8.878441488130638e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3149532021469775 y2[1] (numeric) = 0.3149532021472339 absolute error = 2.564060075371799e-13 relative error = 8.141082731952168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.462999999999729 y1[1] (analytic) = 0.9487917740697792 y1[1] (numeric) = 0.9487917740696946 absolute error = 8.459899447643693e-14 relative error = 8.916497464301905e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3159021517139778 y2[1] (numeric) = 0.3159021517142343 absolute error = 2.564615186884112e-13 relative error = 8.118384673764899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.463999999999729 y1[1] (analytic) = 0.9484753975748681 y1[1] (numeric) = 0.9484753975747833 absolute error = 8.482103908136196e-14 relative error = 8.942882366610527e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3168507853788529 y2[1] (numeric) = 0.3168507853791093 absolute error = 2.564615186884112e-13 relative error = 8.094078680656091e-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 y1[1] (analytic) = 0.9481580726046385 y1[1] (numeric) = 0.9481580726045533 absolute error = 8.515410598874951e-14 relative error = 8.981003110043333e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3177991021929689 y2[1] (numeric) = 0.3177991021932254 absolute error = 2.564615186884112e-13 relative error = 8.069925840529489e-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 y1[1] (analytic) = 0.9478397994764153 y1[1] (numeric) = 0.9478397994763298 absolute error = 8.548717289613705e-14 relative error = 9.019158400328831e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3187471012080093 y2[1] (numeric) = 0.3187471012082657 absolute error = 2.564615186884112e-13 relative error = 8.045924738341337e-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 y1[1] (analytic) = 0.9475205785084716 y1[1] (numeric) = 0.9475205785083858 absolute error = 8.58202398035246e-14 relative error = 9.057348383780491e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.319694781475975 y2[1] (numeric) = 0.3196947814762314 absolute error = 2.564615186884112e-13 relative error = 8.02207397644632e-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 y1[1] (analytic) = 0.9472004100200283 y1[1] (numeric) = 0.9472004100199423 absolute error = 8.604228440844963e-14 relative error = 9.083852107562991e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3206421420491858 y2[1] (numeric) = 0.3206421420494423 absolute error = 2.564615186884112e-13 relative error = 7.998372174331048e-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 y1[1] (analytic) = 0.946879294331254 y1[1] (numeric) = 0.9468792943311677 absolute error = 8.626432901337466e-14 relative error = 9.110382868209193e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3215891819802814 y2[1] (numeric) = 0.3215891819805379 absolute error = 2.565170298396424e-13 relative error = 7.976544119427845e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.469999999999728 y1[1] (analytic) = 0.9465572317632642 y1[1] (numeric) = 0.9465572317631776 absolute error = 8.659739592076221e-14 relative error = 9.148669833671545e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3225359003222217 y2[1] (numeric) = 0.3225359003224783 absolute error = 2.565170298396424e-13 relative error = 7.953131095898945e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.470999999999728 y1[1] (analytic) = 0.9462342226381215 y1[1] (numeric) = 0.9462342226380347 absolute error = 8.681944052568724e-14 relative error = 9.175258984359364e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3234822961282886 y2[1] (numeric) = 0.3234822961285452 absolute error = 2.565725409908737e-13 relative error = 7.931579071304741e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.471999999999728 y1[1] (analytic) = 0.9459102672788351 y1[1] (numeric) = 0.9459102672787479 absolute error = 8.715250743307479e-14 relative error = 9.213612585450878e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3244283684520864 y2[1] (numeric) = 0.3244283684523429 absolute error = 2.565170298396424e-13 relative error = 7.906738583420965e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.472999999999728 y1[1] (analytic) = 0.9455853660093603 y1[1] (numeric) = 0.9455853660092728 absolute error = 8.748557434046234e-14 relative error = 9.252001721396809e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3253741163475427 y2[1] (numeric) = 0.3253741163477992 absolute error = 2.565170298396424e-13 relative error = 7.883756480667571e-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 y1[1] (analytic) = 0.9452595191545982 y1[1] (numeric) = 0.9452595191545105 absolute error = 8.770761894538737e-14 relative error = 9.278681374595361e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3263195388689098 y2[1] (numeric) = 0.3263195388691663 absolute error = 2.565170298396424e-13 relative error = 7.860915430586317e-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 y1[1] (analytic) = 0.9449327270403957 y1[1] (numeric) = 0.9449327270403077 absolute error = 8.79296635503124e-14 relative error = 9.305388736583935e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3272646350707652 y2[1] (numeric) = 0.3272646350710218 absolute error = 2.565725409908737e-13 relative error = 7.839910381254436e-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 y1[1] (analytic) = 0.9446049899935449 y1[1] (numeric) = 0.9446049899934567 absolute error = 8.826273045769994e-14 relative error = 9.343877217746128e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3282094040080128 y2[1] (numeric) = 0.3282094040082694 absolute error = 2.566280521421049e-13 relative error = 7.819034098603698e-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 y1[1] (analytic) = 0.9442763083417829 y1[1] (numeric) = 0.9442763083416943 absolute error = 8.859579736508749e-14 relative error = 9.382401801509569e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3291538447358838 y2[1] (numeric) = 0.3291538447361404 absolute error = 2.566280521421049e-13 relative error = 7.796598953538755e-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 y1[1] (analytic) = 0.9439466824137911 y1[1] (numeric) = 0.9439466824137023 absolute error = 8.881784197001252e-14 relative error = 9.409201136540261e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3300979563099374 y2[1] (numeric) = 0.3300979563101941 absolute error = 2.566835632933362e-13 relative error = 7.775981595364058e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.478999999999727 y1[1] (analytic) = 0.9436161125391956 y1[1] (numeric) = 0.9436161125391065 absolute error = 8.915090887740007e-14 relative error = 9.447794255812577e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3310417377860622 y2[1] (numeric) = 0.3310417377863189 absolute error = 2.566835632933362e-13 relative error = 7.753812706820055e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.479999999999727 y1[1] (analytic) = 0.9432845990485663 y1[1] (numeric) = 0.9432845990484768 absolute error = 8.948397578478762e-14 relative error = 9.486423914377977e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3319851882204769 y2[1] (numeric) = 0.3319851882207336 absolute error = 2.566835632933362e-13 relative error = 7.731777573247285e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.480999999999727 y1[1] (analytic) = 0.9429521422734165 y1[1] (numeric) = 0.9429521422733267 absolute error = 8.981704269217516e-14 relative error = 9.525090263396634e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.332928306669731 y2[1] (numeric) = 0.3329283066699877 absolute error = 2.566835632933362e-13 relative error = 7.709875013660808e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.481999999999727 y1[1] (analytic) = 0.942618742546203 y1[1] (numeric) = 0.9426187425461129 absolute error = 9.015010959956271e-14 relative error = 9.563793454398022e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3338710921907062 y2[1] (numeric) = 0.3338710921909629 absolute error = 2.567390744445674e-13 relative error = 7.689766513176255e-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 y1[1] (analytic) = 0.9422844002003256 y1[1] (numeric) = 0.9422844002002351 absolute error = 9.048317650695026e-14 relative error = 9.602533639282783e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.334813543840617 y2[1] (numeric) = 0.3348135438408737 absolute error = 2.567390744445674e-13 relative error = 7.668120933805005e-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 y1[1] (analytic) = 0.9419491155701264 y1[1] (numeric) = 0.9419491155700356 absolute error = 9.081624341433781e-14 relative error = 9.641310970324564e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3357556606770118 y2[1] (numeric) = 0.3357556606772686 absolute error = 2.567945855957987e-13 relative error = 7.648257815758121e-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 y1[1] (analytic) = 0.9416128889908901 y1[1] (numeric) = 0.9416128889907991 absolute error = 9.103828801926284e-14 relative error = 9.668334947796537e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.336697441757774 y2[1] (numeric) = 0.3366974417580307 absolute error = 2.567390744445674e-13 relative error = 7.625216072454451e-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 y1[1] (analytic) = 0.9412757207988434 y1[1] (numeric) = 0.941275720798752 absolute error = 9.137135492665038e-14 relative error = 9.707182806022575e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3376388861411224 y2[1] (numeric) = 0.3376388861413792 absolute error = 2.567945855957987e-13 relative error = 7.605598648032106e-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 y1[1] (analytic) = 0.9409376113311543 y1[1] (numeric) = 0.9409376113310626 absolute error = 9.170442183403793e-14 relative error = 9.746068254653221e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3385799928856129 y2[1] (numeric) = 0.3385799928858697 absolute error = 2.567945855957987e-13 relative error = 7.58445835523882e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.487999999999726 y1[1] (analytic) = 0.9405985609259322 y1[1] (numeric) = 0.9405985609258403 absolute error = 9.192646643896296e-14 relative error = 9.773188080201809e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3395207610501387 y2[1] (numeric) = 0.3395207610503955 absolute error = 2.5685009674703e-13 relative error = 7.565077786483274e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.488999999999726 y1[1] (analytic) = 0.9402585699222277 y1[1] (numeric) = 0.9402585699221354 absolute error = 9.225953334635051e-14 relative error = 9.812144903287788e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3404611896939317 y2[1] (numeric) = 0.3404611896941886 absolute error = 2.5685009674703e-13 relative error = 7.544181378733166e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.489999999999726 y1[1] (analytic) = 0.9399176386600315 y1[1] (numeric) = 0.9399176386599389 absolute error = 9.259260025373806e-14 relative error = 9.851139764303202e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3414012778765634 y2[1] (numeric) = 0.3414012778768203 absolute error = 2.569056078982612e-13 relative error = 7.525033576211383e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.490999999999726 y1[1] (analytic) = 0.939575767480275 y1[1] (numeric) = 0.9395757674801821 absolute error = 9.29256671611256e-14 relative error = 9.890172818135866e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3423410246579457 y2[1] (numeric) = 0.3423410246582027 absolute error = 2.569611190494925e-13 relative error = 7.505998420909045e-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 y1[1] (analytic) = 0.9392329567248293 y1[1] (numeric) = 0.9392329567247362 absolute error = 9.314771176605063e-14 relative error = 9.917423691228127e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3432804290983318 y2[1] (numeric) = 0.3432804290985888 absolute error = 2.569611190494925e-13 relative error = 7.485457872574688e-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 y1[1] (analytic) = 0.9388892067365052 y1[1] (numeric) = 0.9388892067364117 absolute error = 9.348077867343818e-14 relative error = 9.956529269131657e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3442194902583175 y2[1] (numeric) = 0.3442194902585745 absolute error = 2.569611190494925e-13 relative error = 7.465036882619794e-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 y1[1] (analytic) = 0.9385445178590526 y1[1] (numeric) = 0.9385445178589589 absolute error = 9.370282327836321e-14 relative error = 9.983844292448915e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.3451582071988416 y2[1] (numeric) = 0.3451582071990986 absolute error = 2.569611190494925e-13 relative error = 7.444734434533095e-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 y1[1] (analytic) = 0.9381988904371603 y1[1] (numeric) = 0.9381988904370663 absolute error = 9.403589018575076e-14 relative error = 1.002302295858974e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3460965789811873 y2[1] (numeric) = 0.3460965789814442 absolute error = 2.569611190494925e-13 relative error = 7.424549523312684e-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 y1[1] (analytic) = 0.9378523248164559 y1[1] (numeric) = 0.9378523248163615 absolute error = 9.436895709313831e-14 relative error = 1.006224056773618e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3470346046669828 y2[1] (numeric) = 0.3470346046672398 absolute error = 2.570166302007237e-13 relative error = 7.406080740776816e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.496999999999725 y1[1] (analytic) = 0.9375048213435047 y1[1] (numeric) = 0.9375048213434101 absolute error = 9.459100169806334e-14 relative error = 1.008965495905486e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3479722833182026 y2[1] (numeric) = 0.3479722833184596 absolute error = 2.570166302007237e-13 relative error = 7.386123623119011e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.497999999999725 y1[1] (analytic) = 0.9371563803658103 y1[1] (numeric) = 0.9371563803657154 absolute error = 9.492406860545088e-14 relative error = 1.012894652314037e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.348909613997168 y2[1] (numeric) = 0.348909613997425 absolute error = 2.57072141351955e-13 relative error = 7.367872108965206e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.498999999999725 y1[1] (analytic) = 0.9368070022318136 y1[1] (numeric) = 0.9368070022317184 absolute error = 9.514611321037592e-14 relative error = 1.01564263486186e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3498465957665485 y2[1] (numeric) = 0.3498465957668055 absolute error = 2.570166302007237e-13 relative error = 7.34655226921888e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.499999999999725 y1[1] (analytic) = 0.9364566872908928 y1[1] (numeric) = 0.9364566872907973 absolute error = 9.547918011776346e-14 relative error = 1.019579243904792e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3507832276893624 y2[1] (numeric) = 0.3507832276896194 absolute error = 2.570166302007237e-13 relative error = 7.326936122166191e-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 y1[1] (analytic) = 0.9361054358933627 y1[1] (numeric) = 0.936105435893267 absolute error = 9.570122472268849e-14 relative error = 1.022333821097375e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3517195088289779 y2[1] (numeric) = 0.3517195088292349 absolute error = 2.570166302007237e-13 relative error = 7.307431738900129e-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 y1[1] (analytic) = 0.9357532483904747 y1[1] (numeric) = 0.9357532483903788 absolute error = 9.592326932761353e-14 relative error = 1.025091491721825e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3526554382491138 y2[1] (numeric) = 0.3526554382493708 absolute error = 2.570166302007237e-13 relative error = 7.28803819038709e-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 y1[1] (analytic) = 0.9354001251344164 y1[1] (numeric) = 0.9354001251343201 absolute error = 9.625633623500107e-14 relative error = 1.029039163546927e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3535910150138409 y2[1] (numeric) = 0.353591015014098 absolute error = 2.57072141351955e-13 relative error = 7.270324483270374e-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 y1[1] (analytic) = 0.9350460664783108 y1[1] (numeric) = 0.9350460664782143 absolute error = 9.64783808399261e-14 relative error = 1.031803504647586e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3545262381875824 y2[1] (numeric) = 0.3545262381878395 absolute error = 2.571276525031863e-13 relative error = 7.252711500781451e-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 y1[1] (analytic) = 0.9346910727762167 y1[1] (numeric) = 0.9346910727761198 absolute error = 9.681144774731365e-14 relative error = 1.035758771716569e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3554611068351153 y2[1] (numeric) = 0.3554611068353724 absolute error = 2.571276525031863e-13 relative error = 7.233636748406848e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.505999999999724 y1[1] (analytic) = 0.9343351443831277 y1[1] (numeric) = 0.9343351443830306 absolute error = 9.71445146547012e-14 relative error = 1.039718084444298e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.356395620021571 y2[1] (numeric) = 0.3563956200218281 absolute error = 2.57072141351955e-13 relative error = 7.213111691338844e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.506999999999724 y1[1] (analytic) = 0.9339782816549721 y1[1] (numeric) = 0.9339782816548747 absolute error = 9.736655925962623e-14 relative error = 1.0424927556891e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3573297768124363 y2[1] (numeric) = 0.3573297768126934 absolute error = 2.57072141351955e-13 relative error = 7.194254664281535e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.507999999999724 y1[1] (analytic) = 0.9336204849486128 y1[1] (numeric) = 0.9336204849485151 absolute error = 9.769962616701378e-14 relative error = 1.046459752566282e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3582635762735547 y2[1] (numeric) = 0.3582635762738117 absolute error = 2.57072141351955e-13 relative error = 7.175503131684974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.508999999999724 y1[1] (analytic) = 0.9332617546218462 y1[1] (numeric) = 0.9332617546217483 absolute error = 9.792167077193881e-14 relative error = 1.049241226129707e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3591970174711265 y2[1] (numeric) = 0.3591970174713836 absolute error = 2.57072141351955e-13 relative error = 7.15685623343516e-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 y1[1] (analytic) = 0.9329020910334029 y1[1] (numeric) = 0.9329020910333047 absolute error = 9.825473767932635e-14 relative error = 1.053215965787864e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3601300994717109 y2[1] (numeric) = 0.3601300994719679 absolute error = 2.57072141351955e-13 relative error = 7.138313118760812e-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 y1[1] (analytic) = 0.9325414945429463 y1[1] (numeric) = 0.9325414945428477 absolute error = 9.85878045867139e-14 relative error = 1.057194829009012e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3610628213422258 y2[1] (numeric) = 0.3610628213424829 absolute error = 2.57072141351955e-13 relative error = 7.119872946106921e-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 y1[1] (analytic) = 0.9321799655110728 y1[1] (numeric) = 0.9321799655109739 absolute error = 9.892087149410145e-14 relative error = 1.061177832113862e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3619951821499494 y2[1] (numeric) = 0.3619951821502065 absolute error = 2.57072141351955e-13 relative error = 7.101534883010346e-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 y1[1] (analytic) = 0.9318175042993115 y1[1] (numeric) = 0.9318175042992123 absolute error = 9.925393840148899e-14 relative error = 1.065164991466048e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3629271809625211 y2[1] (numeric) = 0.3629271809627782 absolute error = 2.57072141351955e-13 relative error = 7.08329810597742e-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 y1[1] (analytic) = 0.9314541112701236 y1[1] (numeric) = 0.9314541112700241 absolute error = 9.947598300641403e-14 relative error = 1.067964398919978e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.363858816847942 y2[1] (numeric) = 0.3638588168481991 absolute error = 2.57072141351955e-13 relative error = 7.06516180036353e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.514999999999723 y1[1] (analytic) = 0.931089786786902 y1[1] (numeric) = 0.9310897867868022 absolute error = 9.980904991380157e-14 relative error = 1.071959453644451e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3647900888745764 y2[1] (numeric) = 0.3647900888748335 absolute error = 2.57072141351955e-13 relative error = 7.04712516025463e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.515999999999723 y1[1] (analytic) = 0.9307245312139713 y1[1] (numeric) = 0.9307245312138711 absolute error = 1.001421168211891e-13 relative error = 1.075958712408395e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3657209961111524 y2[1] (numeric) = 0.3657209961114095 absolute error = 2.57072141351955e-13 relative error = 7.029187388350652e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.516999999999723 y1[1] (analytic) = 0.9303583449165868 y1[1] (numeric) = 0.9303583449164864 absolute error = 1.003641614261142e-13 relative error = 1.078768863357833e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3666515376267627 y2[1] (numeric) = 0.3666515376270197 absolute error = 2.57072141351955e-13 relative error = 7.011347695850786e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.517999999999723 y1[1] (analytic) = 0.9299912282609349 y1[1] (numeric) = 0.9299912282608342 absolute error = 1.006972283335017e-13 relative error = 1.082776108779042e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3675817124908659 y2[1] (numeric) = 0.367581712491123 absolute error = 2.57072141351955e-13 relative error = 6.993605302340578e-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 y1[1] (analytic) = 0.9296231816141324 y1[1] (numeric) = 0.9296231816140313 absolute error = 1.010302952408892e-13 relative error = 1.086787606409162e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3685115197732873 y2[1] (numeric) = 0.3685115197735443 absolute error = 2.57072141351955e-13 relative error = 6.97595943568084e-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 y1[1] (analytic) = 0.9292542053442256 y1[1] (numeric) = 0.9292542053441243 absolute error = 1.013633621482768e-13 relative error = 1.090803372912674e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3694409585442196 y2[1] (numeric) = 0.3694409585444767 absolute error = 2.57072141351955e-13 relative error = 6.958409331898298e-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 y1[1] (analytic) = 0.9288842998201909 y1[1] (numeric) = 0.9288842998200894 absolute error = 1.015854067532018e-13 relative error = 1.093628202918988e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3703700278742241 y2[1] (numeric) = 0.3703700278744812 absolute error = 2.57072141351955e-13 relative error = 6.940954235077993e-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 y1[1] (analytic) = 0.9285134654119339 y1[1] (numeric) = 0.928513465411832 absolute error = 1.019184736605894e-13 relative error = 1.097652079987589e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3712987268342317 y2[1] (numeric) = 0.3712987268344887 absolute error = 2.57072141351955e-13 relative error = 6.923593397257359e-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 y1[1] (analytic) = 0.9281417024902888 y1[1] (numeric) = 0.9281417024901866 absolute error = 1.022515405679769e-13 relative error = 1.101680274613528e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3722270544955433 y2[1] (numeric) = 0.3722270544958003 absolute error = 2.570166302007237e-13 relative error = 6.904834753321269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.523999999999722 y1[1] (analytic) = 0.9277690114270186 y1[1] (numeric) = 0.927769011426916 absolute error = 1.025846074753645e-13 relative error = 1.105712803638237e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3731550099298315 y2[1] (numeric) = 0.3731550099300885 absolute error = 2.57072141351955e-13 relative error = 6.889151545903006e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.524999999999722 y1[1] (analytic) = 0.9273953925948143 y1[1] (numeric) = 0.9273953925947114 absolute error = 1.02917674382752e-13 relative error = 1.10974968394864e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3740825922091409 y2[1] (numeric) = 0.3740825922093979 absolute error = 2.570166302007237e-13 relative error = 6.870585147598414e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.525999999999722 y1[1] (analytic) = 0.9270208463672945 y1[1] (numeric) = 0.9270208463671914 absolute error = 1.03139718987677e-13 relative error = 1.112593307818798e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3750098004058892 y2[1] (numeric) = 0.3750098004061462 absolute error = 2.570166302007237e-13 relative error = 6.853597690581516e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.526999999999722 y1[1] (analytic) = 0.9266453731190059 y1[1] (numeric) = 0.9266453731189023 absolute error = 1.035838081975271e-13 relative error = 1.117836566203026e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3759366335928683 y2[1] (numeric) = 0.3759366335931253 absolute error = 2.57072141351955e-13 relative error = 6.838177458128726e-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 y1[1] (analytic) = 0.9262689732254211 y1[1] (numeric) = 0.9262689732253173 absolute error = 1.038058528024521e-13 relative error = 1.120688005353165e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3768630908432452 y2[1] (numeric) = 0.3768630908435022 absolute error = 2.57072141351955e-13 relative error = 6.82136689949516e-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 y1[1] (analytic) = 0.9258916470629405 y1[1] (numeric) = 0.9258916470628363 absolute error = 1.041389197098397e-13 relative error = 1.124741972132302e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3777891712305626 y2[1] (numeric) = 0.3777891712308197 absolute error = 2.57072141351955e-13 relative error = 6.804645578236157e-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 y1[1] (analytic) = 0.9255133950088898 y1[1] (numeric) = 0.9255133950087854 absolute error = 1.044719866172272e-13 relative error = 1.128800373723643e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3787148738287403 y2[1] (numeric) = 0.3787148738289974 absolute error = 2.57072141351955e-13 relative error = 6.788012806389175e-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 y1[1] (analytic) = 0.9251342174415214 y1[1] (numeric) = 0.9251342174414166 absolute error = 1.048050535246148e-13 relative error = 1.132863227288851e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3796401977120757 y2[1] (numeric) = 0.3796401977123328 absolute error = 2.57072141351955e-13 relative error = 6.771467903062309e-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 y1[1] (analytic) = 0.9247541147400125 y1[1] (numeric) = 0.9247541147399074 absolute error = 1.050270981295398e-13 relative error = 1.135729989793745e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3805651419552451 y2[1] (numeric) = 0.3805651419555022 absolute error = 2.57072141351955e-13 relative error = 6.755010194343731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.532999999999721 y1[1] (analytic) = 0.924373087284466 y1[1] (numeric) = 0.9243730872843606 absolute error = 1.053601650369274e-13 relative error = 1.139801304108109e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3814897056333042 y2[1] (numeric) = 0.3814897056335613 absolute error = 2.57072141351955e-13 relative error = 6.738639013212536e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.533999999999721 y1[1] (analytic) = 0.9239911354559092 y1[1] (numeric) = 0.9239911354558036 absolute error = 1.055822096418524e-13 relative error = 1.142675568957236e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3824138878216895 y2[1] (numeric) = 0.3824138878219465 absolute error = 2.570166302007237e-13 relative error = 6.720902100725078e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.534999999999721 y1[1] (analytic) = 0.9236082596362939 y1[1] (numeric) = 0.9236082596361881 absolute error = 1.058042542467774e-13 relative error = 1.145553357095809e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3833376875962188 y2[1] (numeric) = 0.3833376875964759 absolute error = 2.57072141351955e-13 relative error = 6.706153599557811e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.535999999999721 y1[1] (analytic) = 0.923224460208496 y1[1] (numeric) = 0.9232244602083899 absolute error = 1.06137321154165e-13 relative error = 1.149637230475842e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3842611040330924 y2[1] (numeric) = 0.3842611040333495 absolute error = 2.57072141351955e-13 relative error = 6.690038066663548e-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 y1[1] (analytic) = 0.9228397375563149 y1[1] (numeric) = 0.9228397375562084 absolute error = 1.064703880615525e-13 relative error = 1.1537256549386e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3851841362088941 y2[1] (numeric) = 0.3851841362091512 absolute error = 2.570166302007237e-13 relative error = 6.672565301633756e-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 y1[1] (analytic) = 0.922454092064473 y1[1] (numeric) = 0.9224540920643662 absolute error = 1.068034549689401e-13 relative error = 1.157818647970996e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3861067832005917 y2[1] (numeric) = 0.3861067832008487 absolute error = 2.570166302007237e-13 relative error = 6.656620432052795e-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 y1[1] (analytic) = 0.922067524118616 y1[1] (numeric) = 0.9220675241185089 absolute error = 1.071365218763276e-13 relative error = 1.161916227108606e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3870290440855382 y2[1] (numeric) = 0.3870290440857952 absolute error = 2.570166302007237e-13 relative error = 6.640758209968343e-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 y1[1] (analytic) = 0.9216800341053117 y1[1] (numeric) = 0.9216800341052043 absolute error = 1.074695887837152e-13 relative error = 1.166018409935911e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3879509179414729 y2[1] (numeric) = 0.3879509179417299 absolute error = 2.570166302007237e-13 relative error = 6.624978014345048e-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 y1[1] (analytic) = 0.9212916224120501 y1[1] (numeric) = 0.9212916224119424 absolute error = 1.076916333886402e-13 relative error = 1.168920141775422e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3888724038465219 y2[1] (numeric) = 0.388872403846779 absolute error = 2.570166302007237e-13 relative error = 6.609279230370939e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54199999999972 y1[1] (analytic) = 0.9209022894272429 y1[1] (numeric) = 0.9209022894271348 absolute error = 1.081357225984902e-13 relative error = 1.174236657243468e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3897935008791996 y2[1] (numeric) = 0.3897935008794566 absolute error = 2.570166302007237e-13 relative error = 6.593661249379718e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54299999999972 y1[1] (analytic) = 0.920512035540223 y1[1] (numeric) = 0.9205120355401146 absolute error = 1.083577672034153e-13 relative error = 1.177146664245657e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3907142081184088 y2[1] (numeric) = 0.3907142081186658 absolute error = 2.570166302007237e-13 relative error = 6.578123468774214e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54399999999972 y1[1] (analytic) = 0.9201208611412443 y1[1] (numeric) = 0.9201208611411356 absolute error = 1.086908341108028e-13 relative error = 1.181266925912227e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3916345246434424 y2[1] (numeric) = 0.3916345246436995 absolute error = 2.570166302007237e-13 relative error = 6.562665291950971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.54499999999972 y1[1] (analytic) = 0.9197287666214811 y1[1] (numeric) = 0.919728766621372 absolute error = 1.090239010181904e-13 relative error = 1.185391878289044e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3925544495339842 y2[1] (numeric) = 0.3925544495342411 absolute error = 2.569611190494925e-13 relative error = 6.545872027550331e-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 y1[1] (analytic) = 0.9193357523730278 y1[1] (numeric) = 0.9193357523729185 absolute error = 1.092459456231154e-13 relative error = 1.188313903175474e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.393473981870109 y2[1] (numeric) = 0.393473981870366 absolute error = 2.569611190494925e-13 relative error = 6.530574596780297e-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 y1[1] (analytic) = 0.9189418187888989 y1[1] (numeric) = 0.9189418187887893 absolute error = 1.09579012530503e-13 relative error = 1.192447772971312e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3943931207322848 y2[1] (numeric) = 0.3943931207325417 absolute error = 2.569611190494925e-13 relative error = 6.515354998393049e-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 y1[1] (analytic) = 0.9185469662630277 y1[1] (numeric) = 0.9185469662629179 absolute error = 1.09801057135428e-13 relative error = 1.195377712498876e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3953118652013727 y2[1] (numeric) = 0.3953118652016296 absolute error = 2.569611190494925e-13 relative error = 6.500212659151932e-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 y1[1] (analytic) = 0.9181511951902668 y1[1] (numeric) = 0.9181511951901566 absolute error = 1.101341240428155e-13 relative error = 1.199520565019715e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3962302143586283 y2[1] (numeric) = 0.3962302143588853 absolute error = 2.569611190494925e-13 relative error = 6.485147011452204e-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 y1[1] (analytic) = 0.9177545059663873 y1[1] (numeric) = 0.9177545059662768 absolute error = 1.104671909502031e-13 relative error = 1.203668194839121e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3971481672857026 y2[1] (numeric) = 0.3971481672859596 absolute error = 2.569611190494925e-13 relative error = 6.470157493252094e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.550999999999719 y1[1] (analytic) = 0.9173568989880783 y1[1] (numeric) = 0.9173568989879675 absolute error = 1.108002578575906e-13 relative error = 1.207820620085952e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3980657230646427 y2[1] (numeric) = 0.3980657230648997 absolute error = 2.569611190494925e-13 relative error = 6.455243548004861e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.551999999999719 y1[1] (analytic) = 0.9169583746529466 y1[1] (numeric) = 0.9169583746528356 absolute error = 1.110223024625157e-13 relative error = 1.210767091849025e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.398982880777893 y2[1] (numeric) = 0.3989828807781499 absolute error = 2.569611190494925e-13 relative error = 6.440404624591861e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.552999999999719 y1[1] (analytic) = 0.9165589333595168 y1[1] (numeric) = 0.9165589333594054 absolute error = 1.113553693699032e-13 relative error = 1.214928634885985e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.3998996395082957 y2[1] (numeric) = 0.3998996395085526 absolute error = 2.569611190494925e-13 relative error = 6.425640177256573e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.553999999999719 y1[1] (analytic) = 0.91615857550723 y1[1] (numeric) = 0.9161585755071183 absolute error = 1.116884362772907e-13 relative error = 1.219095026376352e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4008159983390921 y2[1] (numeric) = 0.4008159983393491 absolute error = 2.569611190494925e-13 relative error = 6.410949665539603e-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 y1[1] (analytic) = 0.9157573014964441 y1[1] (numeric) = 0.9157573014963321 absolute error = 1.120215031846783e-13 relative error = 1.223266284654497e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4017319563539237 y2[1] (numeric) = 0.4017319563541807 absolute error = 2.569611190494925e-13 relative error = 6.396332554214609e-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 y1[1] (analytic) = 0.9153551117284329 y1[1] (numeric) = 0.9153551117283206 absolute error = 1.122435477896033e-13 relative error = 1.226229540332798e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4026475126368324 y2[1] (numeric) = 0.4026475126370894 absolute error = 2.569611190494925e-13 relative error = 6.38178831322518e-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 y1[1] (analytic) = 0.9149520066053863 y1[1] (numeric) = 0.9149520066052738 absolute error = 1.125766146969909e-13 relative error = 1.230410053032919e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4035626662722621 y2[1] (numeric) = 0.403562666272519 absolute error = 2.569056078982612e-13 relative error = 6.365940890204666e-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 y1[1] (analytic) = 0.9145479865304094 y1[1] (numeric) = 0.9145479865302965 absolute error = 1.129096816043784e-13 relative error = 1.234595486156309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.404477416345059 y2[1] (numeric) = 0.4044774163453159 absolute error = 2.569056078982612e-13 relative error = 6.351543930924822e-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 y1[1] (analytic) = 0.9141430519075221 y1[1] (numeric) = 0.9141430519074089 absolute error = 1.13242748511766e-13 relative error = 1.238785858246856e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4053917619404733 y2[1] (numeric) = 0.4053917619407302 absolute error = 2.569056078982612e-13 relative error = 6.337218266807912e-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 y1[1] (analytic) = 0.9137372031416591 y1[1] (numeric) = 0.9137372031415455 absolute error = 1.135758154191535e-13 relative error = 1.24298118790229e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4063057021441595 y2[1] (numeric) = 0.4063057021444164 absolute error = 2.569056078982612e-13 relative error = 6.322963387974056e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.560999999999718 y1[1] (analytic) = 0.9133304406386691 y1[1] (numeric) = 0.9133304406385552 absolute error = 1.139088823265411e-13 relative error = 1.247181493774448e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4072192360421774 y2[1] (numeric) = 0.4072192360424343 absolute error = 2.569056078982612e-13 relative error = 6.308778789409949e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.561999999999718 y1[1] (analytic) = 0.9129227648053145 y1[1] (numeric) = 0.9129227648052003 absolute error = 1.142419492339286e-13 relative error = 1.251386794569542e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4081323627209932 y2[1] (numeric) = 0.4081323627212501 absolute error = 2.569056078982612e-13 relative error = 6.294663970910992e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.562999999999718 y1[1] (analytic) = 0.9125141760492713 y1[1] (numeric) = 0.9125141760491567 absolute error = 1.145750161413162e-13 relative error = 1.255597109048415e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4090450812674802 y2[1] (numeric) = 0.4090450812677371 absolute error = 2.569056078982612e-13 relative error = 6.280618437024233e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.563999999999718 y1[1] (analytic) = 0.912104674779128 y1[1] (numeric) = 0.9121046747790131 absolute error = 1.149080830487037e-13 relative error = 1.25981245602682e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4099573907689201 y2[1] (numeric) = 0.409957390769177 absolute error = 2.569056078982612e-13 relative error = 6.266641696992132e-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 y1[1] (analytic) = 0.911694261404386 y1[1] (numeric) = 0.9116942614042708 absolute error = 1.152411499560912e-13 relative error = 1.264032854375679e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4108692903130035 y2[1] (numeric) = 0.4108692903132603 absolute error = 2.5685009674703e-13 relative error = 6.251382198736722e-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 y1[1] (analytic) = 0.9112829363354585 y1[1] (numeric) = 0.9112829363353431 absolute error = 1.154631945610163e-13 relative error = 1.267040015314325e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4117807789878307 y2[1] (numeric) = 0.4117807789880875 absolute error = 2.5685009674703e-13 relative error = 6.237544583270134e-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 y1[1] (analytic) = 0.9108706999836707 y1[1] (numeric) = 0.910870699983555 absolute error = 1.156852391659413e-13 relative error = 1.270051162783205e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4126918558819132 y2[1] (numeric) = 0.4126918558821701 absolute error = 2.5685009674703e-13 relative error = 6.223774302454965e-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 y1[1] (analytic) = 0.9104575527612587 y1[1] (numeric) = 0.9104575527611427 absolute error = 1.160183060733289e-13 relative error = 1.274285722837551e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4136025200841743 y2[1] (numeric) = 0.4136025200844311 absolute error = 2.5685009674703e-13 relative error = 6.210070883870755e-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 y1[1] (analytic) = 0.9100434950813699 y1[1] (numeric) = 0.9100434950812536 absolute error = 1.163513729807164e-13 relative error = 1.278525406857757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4145127706839496 y2[1] (numeric) = 0.4145127706842065 absolute error = 2.5685009674703e-13 relative error = 6.196433859521989e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.569999999999717 y1[1] (analytic) = 0.9096285273580619 y1[1] (numeric) = 0.9096285273579452 absolute error = 1.16684439888104e-13 relative error = 1.282770233987757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.415422606770989 y2[1] (numeric) = 0.4154226067712458 absolute error = 2.567945855957987e-13 relative error = 6.181526508434878e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.570999999999717 y1[1] (analytic) = 0.9092126500063022 y1[1] (numeric) = 0.9092126500061852 absolute error = 1.170175067954915e-13 relative error = 1.287020223428264e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4163320274354561 y2[1] (numeric) = 0.4163320274357129 absolute error = 2.567945855957987e-13 relative error = 6.168023804885141e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.571999999999717 y1[1] (analytic) = 0.9087958634419684 y1[1] (numeric) = 0.908795863441851 absolute error = 1.17350573702879e-13 relative error = 1.291275394437054e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4172410317679305 y2[1] (numeric) = 0.4172410317681873 absolute error = 2.567945855957987e-13 relative error = 6.154586103569696e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.572999999999717 y1[1] (analytic) = 0.9083781680818468 y1[1] (numeric) = 0.9083781680817291 absolute error = 1.176836406102666e-13 relative error = 1.295535766329239e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4181496188594079 y2[1] (numeric) = 0.4181496188596647 absolute error = 2.567945855957987e-13 relative error = 6.141212953781008e-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 y1[1] (analytic) = 0.9079595643436329 y1[1] (numeric) = 0.9079595643435149 absolute error = 1.180167075176541e-13 relative error = 1.299801358477553e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4190577878013013 y2[1] (numeric) = 0.4190577878015581 absolute error = 2.567945855957987e-13 relative error = 6.127903908984491e-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 y1[1] (analytic) = 0.9075400526459302 y1[1] (numeric) = 0.9075400526458119 absolute error = 1.182387521225792e-13 relative error = 1.302848858051548e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4199655376854418 y2[1] (numeric) = 0.4199655376856986 absolute error = 2.567390744445674e-13 relative error = 6.113336724235394e-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 y1[1] (analytic) = 0.9071196334082505 y1[1] (numeric) = 0.907119633408132 absolute error = 1.185718190299667e-13 relative error = 1.307124382089119e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4208728676040796 y2[1] (numeric) = 0.4208728676043363 absolute error = 2.567390744445674e-13 relative error = 6.100157415851409e-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 y1[1] (analytic) = 0.9066983070510131 y1[1] (numeric) = 0.9066983070508942 absolute error = 1.189048859373543e-13 relative error = 1.31140518309873e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4217797766498849 y2[1] (numeric) = 0.4217797766501416 absolute error = 2.566835632933362e-13 relative error = 6.085724766894327e-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 y1[1] (analytic) = 0.9062760739955441 y1[1] (numeric) = 0.9062760739954249 absolute error = 1.192379528447418e-13 relative error = 1.315691280682845e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4226862639159487 y2[1] (numeric) = 0.4226862639162054 absolute error = 2.567390744445674e-13 relative error = 6.073986697983167e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.578999999999716 y1[1] (analytic) = 0.9058529346640767 y1[1] (numeric) = 0.9058529346639571 absolute error = 1.195710197521294e-13 relative error = 1.319982694502951e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4235923284957838 y2[1] (numeric) = 0.4235923284960404 absolute error = 2.566835632933362e-13 relative error = 6.059683946705166e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.579999999999716 y1[1] (analytic) = 0.9054288894797501 y1[1] (numeric) = 0.9054288894796302 absolute error = 1.199040866595169e-13 relative error = 1.324279444279854e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4244979694833257 y2[1] (numeric) = 0.4244979694835823 absolute error = 2.566280521421049e-13 relative error = 6.045448284580907e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.580999999999716 y1[1] (analytic) = 0.9050039388666095 y1[1] (numeric) = 0.9050039388664892 absolute error = 1.202371535669045e-13 relative error = 1.328581549793967e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4254031859729335 y2[1] (numeric) = 0.4254031859731901 absolute error = 2.566280521421049e-13 relative error = 6.032584160251988e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.581999999999716 y1[1] (analytic) = 0.9045780832496054 y1[1] (numeric) = 0.9045780832494849 absolute error = 1.20570220474292e-13 relative error = 1.3328890308856e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4263079770593907 y2[1] (numeric) = 0.4263079770596473 absolute error = 2.566280521421049e-13 relative error = 6.019780673875428e-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 y1[1] (analytic) = 0.9041513230545934 y1[1] (numeric) = 0.9041513230544725 absolute error = 1.209032873816795e-13 relative error = 1.337201907455256e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4272123418379065 y2[1] (numeric) = 0.427212341838163 absolute error = 2.565725409908737e-13 relative error = 6.005738033856307e-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 y1[1] (analytic) = 0.9037236587083337 y1[1] (numeric) = 0.9037236587082126 absolute error = 1.211253319866046e-13 relative error = 1.340291701112766e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.428116279404116 y2[1] (numeric) = 0.4281162794043725 absolute error = 2.565725409908737e-13 relative error = 5.993057338253766e-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 y1[1] (analytic) = 0.9032950906384907 y1[1] (numeric) = 0.9032950906383692 absolute error = 1.214583988939921e-13 relative error = 1.344614845721565e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4290197888540817 y2[1] (numeric) = 0.4290197888543383 absolute error = 2.565725409908737e-13 relative error = 5.98043604646263e-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 y1[1] (analytic) = 0.9028656192736323 y1[1] (numeric) = 0.9028656192735105 absolute error = 1.217914658013797e-13 relative error = 1.348943444090413e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4299228692842944 y2[1] (numeric) = 0.4299228692845509 absolute error = 2.565170298396424e-13 relative error = 5.966582570186929e-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 y1[1] (analytic) = 0.9024352450432298 y1[1] (numeric) = 0.9024352450431078 absolute error = 1.220135104063047e-13 relative error = 1.352047264072225e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4308255197916736 y2[1] (numeric) = 0.4308255197919301 absolute error = 2.565170298396424e-13 relative error = 5.954081595808941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.587999999999715 y1[1] (analytic) = 0.9020039683776575 y1[1] (numeric) = 0.9020039683775352 absolute error = 1.223465773136923e-13 relative error = 1.3563862422218e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4317277394735689 y2[1] (numeric) = 0.4317277394738254 absolute error = 2.565170298396424e-13 relative error = 5.941638824330092e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.588999999999715 y1[1] (analytic) = 0.9015717897081921 y1[1] (numeric) = 0.9015717897080694 absolute error = 1.226796442210798e-13 relative error = 1.360730732943485e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4326295274277607 y2[1] (numeric) = 0.4326295274280172 absolute error = 2.565170298396424e-13 relative error = 5.92925386680813e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.589999999999715 y1[1] (analytic) = 0.9011387094670119 y1[1] (numeric) = 0.901138709466889 absolute error = 1.229016888260048e-13 relative error = 1.363848734216471e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4335308827524612 y2[1] (numeric) = 0.4335308827527177 absolute error = 2.564615186884112e-13 relative error = 5.915645894939539e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.590999999999715 y1[1] (analytic) = 0.9007047280871975 y1[1] (numeric) = 0.9007047280870742 absolute error = 1.232347557333924e-13 relative error = 1.368203717494664e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.434431804546315 y2[1] (numeric) = 0.4344318045465715 absolute error = 2.564615186884112e-13 relative error = 5.90337806773237e-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 y1[1] (analytic) = 0.90026984600273 y1[1] (numeric) = 0.9002698460026065 absolute error = 1.234568003383174e-13 relative error = 1.371331061308734e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4353322919084005 y2[1] (numeric) = 0.435332291908657 absolute error = 2.564615186884112e-13 relative error = 5.891166896077031e-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 y1[1] (analytic) = 0.8998340636484915 y1[1] (numeric) = 0.8998340636483677 absolute error = 1.23789867245705e-13 relative error = 1.375696611703976e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4362323439382303 y2[1] (numeric) = 0.4362323439384868 absolute error = 2.564615186884112e-13 relative error = 5.879012004775273e-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 y1[1] (analytic) = 0.8993973814602644 y1[1] (numeric) = 0.8993973814601403 absolute error = 1.241229341530925e-13 relative error = 1.380067773285776e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4371319597357526 y2[1] (numeric) = 0.437131959736009 absolute error = 2.564615186884112e-13 relative error = 5.866913021949776e-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 y1[1] (analytic) = 0.8989597998747307 y1[1] (numeric) = 0.8989597998746063 absolute error = 1.2445600106048e-13 relative error = 1.384444566684994e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4380311384013515 y2[1] (numeric) = 0.438031138401608 absolute error = 2.564060075371799e-13 relative error = 5.853602291219869e-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 y1[1] (analytic) = 0.8985213193294722 y1[1] (numeric) = 0.8985213193293474 absolute error = 1.247890679678676e-13 relative error = 1.388827012596566e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4389298790358486 y2[1] (numeric) = 0.438929879036105 absolute error = 2.563504963859486e-13 relative error = 5.840351924754974e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.596999999999714 y1[1] (analytic) = 0.8980819402629692 y1[1] (numeric) = 0.898081940262844 absolute error = 1.251221348752551e-13 relative error = 1.393215131779823e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4398281807405032 y2[1] (numeric) = 0.4398281807407595 absolute error = 2.562949852347174e-13 relative error = 5.827161524830315e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.597999999999714 y1[1] (analytic) = 0.8976416631146007 y1[1] (numeric) = 0.8976416631144752 absolute error = 1.254552017826427e-13 relative error = 1.397608945058803e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4407260426170137 y2[1] (numeric) = 0.44072604261727 absolute error = 2.562949852347174e-13 relative error = 5.815290235921798e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.598999999999714 y1[1] (analytic) = 0.8972004883246438 y1[1] (numeric) = 0.8972004883245182 absolute error = 1.256772463875677e-13 relative error = 1.400771043072511e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4416234637675183 y2[1] (numeric) = 0.4416234637677746 absolute error = 2.562949852347174e-13 relative error = 5.803473009523731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.599999999999714 y1[1] (analytic) = 0.8967584163342736 y1[1] (numeric) = 0.8967584163341475 absolute error = 1.260103132949553e-13 relative error = 1.405175697263642e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.442520443294596 y2[1] (numeric) = 0.4425204432948522 absolute error = 2.562394740834861e-13 relative error = 5.790455061821893e-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 y1[1] (analytic) = 0.8963154475855616 y1[1] (numeric) = 0.8963154475854352 absolute error = 1.263433802023428e-13 relative error = 1.409586106573067e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4434169803012672 y2[1] (numeric) = 0.4434169803015234 absolute error = 2.561839629322549e-13 relative error = 5.777495547378403e-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 y1[1] (analytic) = 0.8958715825214767 y1[1] (numeric) = 0.8958715825213501 absolute error = 1.265654248072678e-13 relative error = 1.412763026270383e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4443130738909951 y2[1] (numeric) = 0.4443130738912513 absolute error = 2.561839629322549e-13 relative error = 5.765843455578923e-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 y1[1] (analytic) = 0.895426821585884 y1[1] (numeric) = 0.8954268215857571 absolute error = 1.268984917146554e-13 relative error = 1.417184393582341e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4452087231676862 y2[1] (numeric) = 0.4452087231679423 absolute error = 2.561284517810236e-13 relative error = 5.752997155101874e-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 y1[1] (analytic) = 0.8949811652235443 y1[1] (numeric) = 0.8949811652234172 absolute error = 1.271205363195804e-13 relative error = 1.420371078846434e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4461039272356911 y2[1] (numeric) = 0.4461039272359472 absolute error = 2.561284517810236e-13 relative error = 5.741452521347177e-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 y1[1] (analytic) = 0.894534613880114 y1[1] (numeric) = 0.8945346138799866 absolute error = 1.27453603226968e-13 relative error = 1.424803481601768e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.446998685199806 y2[1] (numeric) = 0.4469986852000621 absolute error = 2.560729406297924e-13 relative error = 5.728717983036776e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.605999999999713 y1[1] (analytic) = 0.8940871680021444 y1[1] (numeric) = 0.8940871680020166 absolute error = 1.277866701343555e-13 relative error = 1.429241741830356e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4478929961652729 y2[1] (numeric) = 0.447892996165529 absolute error = 2.560729406297924e-13 relative error = 5.71727941321282e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.606999999999713 y1[1] (analytic) = 0.8936388280370813 y1[1] (numeric) = 0.8936388280369532 absolute error = 1.281197370417431e-13 relative error = 1.433685880941006e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4487868592377811 y2[1] (numeric) = 0.4487868592380371 absolute error = 2.560174294785611e-13 relative error = 5.704655210123147e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.607999999999713 y1[1] (analytic) = 0.8931895944332645 y1[1] (numeric) = 0.8931895944331362 absolute error = 1.283417816466681e-13 relative error = 1.436892933443788e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4496802735234673 y2[1] (numeric) = 0.4496802735237233 absolute error = 2.560174294785611e-13 relative error = 5.693321334123419e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.608999999999713 y1[1] (analytic) = 0.8927394676399278 y1[1] (numeric) = 0.8927394676397992 absolute error = 1.286748485540556e-13 relative error = 1.441348268092417e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4505732381289175 y2[1] (numeric) = 0.4505732381291735 absolute error = 2.559619183273298e-13 relative error = 5.680806063632529e-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 y1[1] (analytic) = 0.8922884481071979 y1[1] (numeric) = 0.8922884481070689 absolute error = 1.290079154614432e-13 relative error = 1.445809544381151e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4514657521611672 y2[1] (numeric) = 0.4514657521614231 absolute error = 2.559064071760986e-13 relative error = 5.668345958715014e-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 y1[1] (analytic) = 0.8918365362860942 y1[1] (numeric) = 0.8918365362859648 absolute error = 1.293409823688307e-13 relative error = 1.450276783988351e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4523578147277023 y2[1] (numeric) = 0.4523578147279582 absolute error = 2.559064071760986e-13 relative error = 5.657167818138435e-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 y1[1] (analytic) = 0.8913837326285285 y1[1] (numeric) = 0.8913837326283989 absolute error = 1.296740492762183e-13 relative error = 1.454750008661624e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4532494249364603 y2[1] (numeric) = 0.4532494249367162 absolute error = 2.559064071760986e-13 relative error = 5.646039312945038e-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 y1[1] (analytic) = 0.8909300375873045 y1[1] (numeric) = 0.8909300375871746 absolute error = 1.298960938811433e-13 relative error = 1.457983100815753e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4541405818958312 y2[1] (numeric) = 0.4541405818960871 absolute error = 2.558508960248673e-13 relative error = 5.633737794513005e-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 y1[1] (analytic) = 0.8904754516161172 y1[1] (numeric) = 0.890475451615987 absolute error = 1.302291607885309e-13 relative error = 1.462467724990947e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4550312847146581 y2[1] (numeric) = 0.4550312847149139 absolute error = 2.557953848736361e-13 relative error = 5.621490070381441e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.614999999999712 y1[1] (analytic) = 0.8900199751695523 y1[1] (numeric) = 0.8900199751694219 absolute error = 1.304512053934559e-13 relative error = 1.465710984392282e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4559215325022381 y2[1] (numeric) = 0.4559215325024939 absolute error = 2.557953848736361e-13 relative error = 5.610513358949116e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.615999999999712 y1[1] (analytic) = 0.8895636087030866 y1[1] (numeric) = 0.8895636087029558 absolute error = 1.307842723008434e-13 relative error = 1.470207088299358e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4568113243683237 y2[1] (numeric) = 0.4568113243685794 absolute error = 2.557398737224048e-13 relative error = 5.598369831922196e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.616999999999712 y1[1] (analytic) = 0.8891063526730862 y1[1] (numeric) = 0.8891063526729551 absolute error = 1.31117339208231e-13 relative error = 1.474709283248607e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4577006594231229 y2[1] (numeric) = 0.4577006594233786 absolute error = 2.556843625711736e-13 relative error = 5.58627909545582e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.617999999999712 y1[1] (analytic) = 0.8886482075368073 y1[1] (numeric) = 0.8886482075366759 absolute error = 1.31339383813156e-13 relative error = 1.477968252219943e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4585895367773009 y2[1] (numeric) = 0.4585895367775565 absolute error = 2.556843625711736e-13 relative error = 5.575451292848367e-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 y1[1] (analytic) = 0.8881891737523949 y1[1] (numeric) = 0.8881891737522633 absolute error = 1.316724507205436e-13 relative error = 1.482482050127427e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4594779555419803 y2[1] (numeric) = 0.4594779555422359 absolute error = 2.556288514199423e-13 relative error = 5.563462802440948e-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 y1[1] (analytic) = 0.8877292517788827 y1[1] (numeric) = 0.8877292517787508 absolute error = 1.318944953254686e-13 relative error = 1.485751371391343e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4603659148287425 y2[1] (numeric) = 0.460365914828998 absolute error = 2.55573340268711e-13 relative error = 5.551526123817944e-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 y1[1] (analytic) = 0.8872684420761928 y1[1] (numeric) = 0.8872684420760606 absolute error = 1.322275622328561e-13 relative error = 1.490276853794619e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4612534137496281 y2[1] (numeric) = 0.4612534137498837 absolute error = 2.555178291174798e-13 relative error = 5.539640932742815e-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 y1[1] (analytic) = 0.8868067451051348 y1[1] (numeric) = 0.8868067451050022 absolute error = 1.325606291402437e-13 relative error = 1.494808534913974e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4621404514171385 y2[1] (numeric) = 0.462140451417394 absolute error = 2.555178291174798e-13 relative error = 5.52900808258491e-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 y1[1] (analytic) = 0.8863441613274055 y1[1] (numeric) = 0.8863441613272727 absolute error = 1.327826737451687e-13 relative error = 1.498093850432894e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.463027026944236 y2[1] (numeric) = 0.4630270269444914 absolute error = 2.554623179662485e-13 relative error = 5.517222604740409e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.623999999999711 y1[1] (analytic) = 0.8858806912055888 y1[1] (numeric) = 0.8858806912054557 absolute error = 1.331157406525563e-13 relative error = 1.502637341281251e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4639131394443451 y2[1] (numeric) = 0.4639131394446005 absolute error = 2.554068068150173e-13 relative error = 5.50548766781929e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.624999999999711 y1[1] (analytic) = 0.8854163352031545 y1[1] (numeric) = 0.8854163352030212 absolute error = 1.333377852574813e-13 relative error = 1.505933197255589e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4647987880313534 y2[1] (numeric) = 0.4647987880316088 absolute error = 2.554068068150173e-13 relative error = 5.494997263155269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.625999999999711 y1[1] (analytic) = 0.884951093784459 y1[1] (numeric) = 0.8849510937843253 absolute error = 1.336708521648688e-13 relative error = 1.510488580710496e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4656839718196124 y2[1] (numeric) = 0.4656839718198678 absolute error = 2.55351295663786e-13 relative error = 5.483360199536759e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.626999999999711 y1[1] (analytic) = 0.8844849674147435 y1[1] (numeric) = 0.8844849674146095 absolute error = 1.340039190722564e-13 relative error = 1.515050272295026e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4665686899239384 y2[1] (numeric) = 0.4665686899241938 absolute error = 2.55351295663786e-13 relative error = 5.472962527884463e-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 y1[1] (analytic) = 0.8840179565601342 y1[1] (numeric) = 0.8840179565599998 absolute error = 1.343369859796439e-13 relative error = 1.519618294885912e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4674529414596134 y2[1] (numeric) = 0.4674529414598687 absolute error = 2.552957845125547e-13 relative error = 5.461422142631048e-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 y1[1] (analytic) = 0.8835500616876419 y1[1] (numeric) = 0.8835500616875073 absolute error = 1.346700528870315e-13 relative error = 1.524192671435078e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4683367255423859 y2[1] (numeric) = 0.4683367255426412 absolute error = 2.552957845125547e-13 relative error = 5.451116057936604e-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 y1[1] (analytic) = 0.8830812832651618 y1[1] (numeric) = 0.8830812832650268 absolute error = 1.35003119794419e-13 relative error = 1.528773424970007e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4692200412884718 y2[1] (numeric) = 0.4692200412887271 absolute error = 2.552402733613235e-13 relative error = 5.439671175605312e-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 y1[1] (analytic) = 0.8826116217614718 y1[1] (numeric) = 0.8826116217613366 absolute error = 1.352251643993441e-13 relative error = 1.5321026946084e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4701028878145556 y2[1] (numeric) = 0.4701028878148108 absolute error = 2.552402733613235e-13 relative error = 5.429455550632774e-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 y1[1] (analytic) = 0.8821410776462336 y1[1] (numeric) = 0.8821410776460982 absolute error = 1.354472090042691e-13 relative error = 1.535437045576373e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4709852642377907 y2[1] (numeric) = 0.4709852642380459 absolute error = 2.551847622100922e-13 relative error = 5.41810501487908e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63299999999971 y1[1] (analytic) = 0.8816696513899914 y1[1] (numeric) = 0.8816696513898556 absolute error = 1.357802759116566e-13 relative error = 1.540035723103239e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4718671696758008 y2[1] (numeric) = 0.471867169676056 absolute error = 2.55129251058861e-13 relative error = 5.406802326047584e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63399999999971 y1[1] (analytic) = 0.8811973434641712 y1[1] (numeric) = 0.8811973434640351 absolute error = 1.361133428190442e-13 relative error = 1.544640866527742e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4727486032466806 y2[1] (numeric) = 0.4727486032469357 absolute error = 2.550737399076297e-13 relative error = 5.39554719264886e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63499999999971 y1[1] (analytic) = 0.880724154341081 y1[1] (numeric) = 0.8807241543409446 absolute error = 1.363353874239692e-13 relative error = 1.547991919512749e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4736295640689965 y2[1] (numeric) = 0.4736295640692516 absolute error = 2.550182287563985e-13 relative error = 5.384339325558833e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.63599999999971 y1[1] (analytic) = 0.8802500844939098 y1[1] (numeric) = 0.8802500844937732 absolute error = 1.366684543313568e-13 relative error = 1.552609386114774e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4745100512617879 y2[1] (numeric) = 0.4745100512620428 absolute error = 2.549072064539359e-13 relative error = 5.37200857550019e-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 y1[1] (analytic) = 0.8797751343967275 y1[1] (numeric) = 0.8797751343965906 absolute error = 1.368904989362818e-13 relative error = 1.555971447523909e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4753900639445675 y2[1] (numeric) = 0.4753900639448224 absolute error = 2.549072064539359e-13 relative error = 5.362064245492081e-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 y1[1] (analytic) = 0.8792993045244841 y1[1] (numeric) = 0.8792993045243469 absolute error = 1.372235658436693e-13 relative error = 1.560601323549078e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4762696012373228 y2[1] (numeric) = 0.4762696012375777 absolute error = 2.548516953027047e-13 relative error = 5.350996465880116e-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 y1[1] (analytic) = 0.8788225953530096 y1[1] (numeric) = 0.878822595352872 absolute error = 1.375566327510569e-13 relative error = 1.565237779256262e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4771486622605165 y2[1] (numeric) = 0.4771486622607714 absolute error = 2.548516953027047e-13 relative error = 5.341138212466773e-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 y1[1] (analytic) = 0.8783450073590128 y1[1] (numeric) = 0.8783450073588749 absolute error = 1.378896996584444e-13 relative error = 1.569880838430994e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4780272461350878 y2[1] (numeric) = 0.4780272461353425 absolute error = 2.547406730002422e-13 relative error = 5.328999027981219e-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 y1[1] (analytic) = 0.8778665410200819 y1[1] (numeric) = 0.8778665410199437 absolute error = 1.38222766565832e-13 relative error = 1.574530524938529e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4789053519824527 y2[1] (numeric) = 0.4789053519827075 absolute error = 2.547406730002422e-13 relative error = 5.319227942342477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.641999999999709 y1[1] (analytic) = 0.8773871968146831 y1[1] (numeric) = 0.8773871968145446 absolute error = 1.385558334732195e-13 relative error = 1.579186862724241e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4797829789245056 y2[1] (numeric) = 0.4797829789247603 absolute error = 2.547406730002422e-13 relative error = 5.309497922816598e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.642999999999709 y1[1] (analytic) = 0.8769069752221607 y1[1] (numeric) = 0.8769069752220218 absolute error = 1.388889003806071e-13 relative error = 1.583849875814024e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4806601260836195 y2[1] (numeric) = 0.4806601260838742 absolute error = 2.546851618490109e-13 relative error = 5.298653831017051e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.643999999999709 y1[1] (analytic) = 0.876425876722736 y1[1] (numeric) = 0.8764258767225969 absolute error = 1.391109449855321e-13 relative error = 1.587252826282546e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4815367925826474 y2[1] (numeric) = 0.481536792582902 absolute error = 2.546296506977797e-13 relative error = 5.287854523682672e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.644999999999709 y1[1] (analytic) = 0.8759439017975077 y1[1] (numeric) = 0.8759439017973683 absolute error = 1.394440118929197e-13 relative error = 1.591928565365536e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4824129775449228 y2[1] (numeric) = 0.4824129775451774 absolute error = 2.545186283953171e-13 relative error = 5.275949036251125e-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 y1[1] (analytic) = 0.8754610509284506 y1[1] (numeric) = 0.8754610509283108 absolute error = 1.397770788003072e-13 relative error = 1.596611050281104e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4832886800942609 y2[1] (numeric) = 0.4832886800945154 absolute error = 2.545186283953171e-13 relative error = 5.266389197149739e-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 y1[1] (analytic) = 0.8749773245984155 y1[1] (numeric) = 0.8749773245982755 absolute error = 1.399991234052322e-13 relative error = 1.600031446180471e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4841638993549592 y2[1] (numeric) = 0.4841638993552136 absolute error = 2.544631172440859e-13 relative error = 5.255722650596243e-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 y1[1] (analytic) = 0.8744927232911287 y1[1] (numeric) = 0.8744927232909884 absolute error = 1.403321903126198e-13 relative error = 1.604726792745439e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4850386344517985 y2[1] (numeric) = 0.4850386344520529 absolute error = 2.544076060928546e-13 relative error = 5.245099833756373e-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 y1[1] (analytic) = 0.8740072474911915 y1[1] (numeric) = 0.8740072474910509 absolute error = 1.406652572200073e-13 relative error = 1.609428956382024e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4859128845100437 y2[1] (numeric) = 0.4859128845102981 absolute error = 2.543520949416234e-13 relative error = 5.234520488134246e-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 y1[1] (analytic) = 0.8735208976840797 y1[1] (numeric) = 0.8735208976839387 absolute error = 1.409983241273949e-13 relative error = 1.61413796168147e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4867866486554449 y2[1] (numeric) = 0.4867866486556993 absolute error = 2.543520949416234e-13 relative error = 5.225124716221576e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.650999999999708 y1[1] (analytic) = 0.873033674356143 y1[1] (numeric) = 0.8730336743560017 absolute error = 1.413313910347824e-13 relative error = 1.618853833318783e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4876599260142381 y2[1] (numeric) = 0.4876599260144924 absolute error = 2.542965837903921e-13 relative error = 5.21462950357269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.651999999999708 y1[1] (analytic) = 0.8725455779946046 y1[1] (numeric) = 0.872545577994463 absolute error = 1.4166445794217e-13 relative error = 1.62357659605314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4885327157131458 y2[1] (numeric) = 0.4885327157134001 absolute error = 2.542410726391608e-13 relative error = 5.204177007225138e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.652999999999708 y1[1] (analytic) = 0.872056609087561 y1[1] (numeric) = 0.872056609087419 absolute error = 1.419975248495575e-13 relative error = 1.628306274728318e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4894050168793785 y2[1] (numeric) = 0.4894050168796328 absolute error = 2.542410726391608e-13 relative error = 5.194901234570354e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.653999999999708 y1[1] (analytic) = 0.8715667681239809 y1[1] (numeric) = 0.8715667681238387 absolute error = 1.422195694544826e-13 relative error = 1.631769069862606e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4902768286406352 y2[1] (numeric) = 0.4902768286408894 absolute error = 2.541855614879296e-13 relative error = 5.184531404282281e-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 y1[1] (analytic) = 0.8710760555937055 y1[1] (numeric) = 0.8710760555935628 absolute error = 1.426636586643326e-13 relative error = 1.637786479701779e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4911481501251041 y2[1] (numeric) = 0.4911481501253582 absolute error = 2.541300503366983e-13 relative error = 5.174203552878432e-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 y1[1] (analytic) = 0.8705844719874469 y1[1] (numeric) = 0.8705844719873039 absolute error = 1.429967255717202e-13 relative error = 1.642537056114436e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4920189804614638 y2[1] (numeric) = 0.4920189804617179 absolute error = 2.541300503366983e-13 relative error = 5.165045667513684e-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 y1[1] (analytic) = 0.8700920177967889 y1[1] (numeric) = 0.8700920177966457 absolute error = 1.432187701766452e-13 relative error = 1.646018665236096e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.492889318778884 y2[1] (numeric) = 0.4928893187791381 absolute error = 2.540745391854671e-13 relative error = 5.154799049306401e-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 y1[1] (analytic) = 0.8695986935141857 y1[1] (numeric) = 0.8695986935140422 absolute error = 1.435518370840327e-13 relative error = 1.65078257539598e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4937591642070265 y2[1] (numeric) = 0.4937591642072805 absolute error = 2.540190280342358e-13 relative error = 5.144593689560952e-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 y1[1] (analytic) = 0.8691044996329613 y1[1] (numeric) = 0.8691044996328176 absolute error = 1.437738816889578e-13 relative error = 1.654276116964946e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4946285158760459 y2[1] (numeric) = 0.4946285158762999 absolute error = 2.539635168830046e-13 relative error = 5.13442934912891e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.659999999999707 y1[1] (analytic) = 0.8686094366473098 y1[1] (numeric) = 0.8686094366471657 absolute error = 1.441069485963453e-13 relative error = 1.659053453904145e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4954973729165907 y2[1] (numeric) = 0.4954973729168446 absolute error = 2.539080057317733e-13 relative error = 5.124305790709303e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.660999999999707 y1[1] (analytic) = 0.8681135050522941 y1[1] (numeric) = 0.8681135050521497 absolute error = 1.444400155037329e-13 relative error = 1.663837904411267e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4963657344598039 y2[1] (numeric) = 0.4963657344600578 absolute error = 2.53852494580542e-13 relative error = 5.114222778830822e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.661999999999707 y1[1] (analytic) = 0.8676167053438456 y1[1] (numeric) = 0.8676167053437008 absolute error = 1.447730824111204e-13 relative error = 1.668629494100685e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.497233599637324 y2[1] (numeric) = 0.4972335996375778 absolute error = 2.537969834293108e-13 relative error = 5.10418007983425e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.662999999999707 y1[1] (analytic) = 0.8671190380187641 y1[1] (numeric) = 0.867119038018619 absolute error = 1.45106149318508e-13 relative error = 1.673428248675679e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4981009675812859 y2[1] (numeric) = 0.4981009675815396 absolute error = 2.537414722780795e-13 relative error = 5.094177461855082e-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 y1[1] (analytic) = 0.8666205035747168 y1[1] (numeric) = 0.8666205035745714 absolute error = 1.45328193923433e-13 relative error = 1.676953099124354e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4989678374243217 y2[1] (numeric) = 0.4989678374245753 absolute error = 2.536859611268483e-13 relative error = 5.084214694806351e-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 y1[1] (analytic) = 0.8661211025102381 y1[1] (numeric) = 0.8661211025100924 absolute error = 1.456612608308205e-13 relative error = 1.681765522265389e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.4998342082995616 y2[1] (numeric) = 0.4998342082998152 absolute error = 2.53630449975617e-13 relative error = 5.07429155036165e-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 y1[1] (analytic) = 0.8656208353247292 y1[1] (numeric) = 0.8656208353245831 absolute error = 1.461053500406706e-13 relative error = 1.687867760089908e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5007000793406349 y2[1] (numeric) = 0.5007000793408884 absolute error = 2.535749388243858e-13 relative error = 5.064407801938341e-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 y1[1] (analytic) = 0.865119702518457 y1[1] (numeric) = 0.8651197025183106 absolute error = 1.464384169480581e-13 relative error = 1.692695433033834e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5015654496816706 y2[1] (numeric) = 0.5015654496819241 absolute error = 2.534639165219232e-13 relative error = 5.053456466803876e-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 y1[1] (analytic) = 0.8646177045925544 y1[1] (numeric) = 0.8646177045924077 absolute error = 1.466604615529832e-13 relative error = 1.696246338398726e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5024303184572985 y2[1] (numeric) = 0.5024303184575518 absolute error = 2.533528942194607e-13 relative error = 5.042547889971596e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.668999999999706 y1[1] (analytic) = 0.8641148420490193 y1[1] (numeric) = 0.8641148420488722 absolute error = 1.471045507628332e-13 relative error = 1.702372689421857e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5032946848026496 y2[1] (numeric) = 0.503294684802903 absolute error = 2.533528942194607e-13 relative error = 5.033887737535013e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.669999999999706 y1[1] (analytic) = 0.8636111153907141 y1[1] (numeric) = 0.8636111153905668 absolute error = 1.473265953677583e-13 relative error = 1.705936766470461e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.504158547853358 y2[1] (numeric) = 0.5041585478536112 absolute error = 2.532418719169982e-13 relative error = 5.02306016619711e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.670999999999706 y1[1] (analytic) = 0.8631065251213655 y1[1] (numeric) = 0.8631065251212179 absolute error = 1.476596622751458e-13 relative error = 1.710793024700893e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5050219067455606 y2[1] (numeric) = 0.5050219067458137 absolute error = 2.531308496145357e-13 relative error = 5.01227464063391e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.671999999999706 y1[1] (analytic) = 0.8626010717455638 y1[1] (numeric) = 0.8626010717454158 absolute error = 1.479927291825334e-13 relative error = 1.71565668105483e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5058847606158984 y2[1] (numeric) = 0.5058847606161515 absolute error = 2.531308496145357e-13 relative error = 5.003725538329264e-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 y1[1] (analytic) = 0.862094755768762 y1[1] (numeric) = 0.8620947557686138 absolute error = 1.482147737874584e-13 relative error = 1.719239941963105e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5067471086015178 y2[1] (numeric) = 0.5067471086017709 absolute error = 2.530198273120732e-13 relative error = 4.993019654524287e-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 y1[1] (analytic) = 0.8615875776972765 y1[1] (numeric) = 0.8615875776971279 absolute error = 1.485478406948459e-13 relative error = 1.724117716412098e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5076089498400708 y2[1] (numeric) = 0.5076089498403238 absolute error = 2.530198273120732e-13 relative error = 4.984542281844924e-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 y1[1] (analytic) = 0.8610795380382851 y1[1] (numeric) = 0.8610795380381361 absolute error = 1.48991929904696e-13 relative error = 1.730292305448693e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5084702834697163 y2[1] (numeric) = 0.5084702834699693 absolute error = 2.529088050096107e-13 relative error = 4.973915157515267e-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 y1[1] (analytic) = 0.8605706372998273 y1[1] (numeric) = 0.860570637299678 absolute error = 1.493249968120836e-13 relative error = 1.735185821359345e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5093311086291207 y2[1] (numeric) = 0.5093311086293736 absolute error = 2.529088050096107e-13 relative error = 4.965508698071123e-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 y1[1] (analytic) = 0.8600608759908039 y1[1] (numeric) = 0.8600608759906543 absolute error = 1.496580637194711e-13 relative error = 1.740086869398199e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5101914244574589 y2[1] (numeric) = 0.5101914244577117 absolute error = 2.527977827071481e-13 relative error = 4.954959464008535e-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 y1[1] (analytic) = 0.8595502546209762 y1[1] (numeric) = 0.8595502546208263 absolute error = 1.498801083243961e-13 relative error = 1.743703844174727e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5110512300944152 y2[1] (numeric) = 0.5110512300946679 absolute error = 2.526867604046856e-13 relative error = 4.944450683701563e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.678999999999705 y1[1] (analytic) = 0.8590387737009656 y1[1] (numeric) = 0.8590387737008154 absolute error = 1.502131752317837e-13 relative error = 1.748619268774397e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5119105246801839 y2[1] (numeric) = 0.5119105246804366 absolute error = 2.526867604046856e-13 relative error = 4.936150913532236e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.679999999999705 y1[1] (analytic) = 0.8585264337422528 y1[1] (numeric) = 0.8585264337421024 absolute error = 1.504352198367087e-13 relative error = 1.752249132050283e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5127693073554707 y2[1] (numeric) = 0.5127693073557233 absolute error = 2.526867604046856e-13 relative error = 4.927883880333614e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.680999999999705 y1[1] (analytic) = 0.8580132352571779 y1[1] (numeric) = 0.8580132352570271 absolute error = 1.507682867440963e-13 relative error = 1.757179033478493e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5136275772614928 y2[1] (numeric) = 0.5136275772617455 absolute error = 2.526867604046856e-13 relative error = 4.919649403404996e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.681999999999705 y1[1] (analytic) = 0.8574991787589391 y1[1] (numeric) = 0.8574991787587881 absolute error = 1.509903313490213e-13 relative error = 1.760821877025585e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5144853335399804 y2[1] (numeric) = 0.5144853335402331 absolute error = 2.526867604046856e-13 relative error = 4.91144730338653e-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 y1[1] (analytic) = 0.8569842647615932 y1[1] (numeric) = 0.8569842647614417 absolute error = 1.514344205588714e-13 relative error = 1.767061856159043e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5153425753331774 y2[1] (numeric) = 0.51534257533343 absolute error = 2.525757381022231e-13 relative error = 4.90112306243917e-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 y1[1] (analytic) = 0.8564684937800537 y1[1] (numeric) = 0.8564684937799021 absolute error = 1.516564651637964e-13 relative error = 1.770718552581605e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.516199301783842 y2[1] (numeric) = 0.5161993017840946 absolute error = 2.525757381022231e-13 relative error = 4.8929887589811e-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 y1[1] (analytic) = 0.855951866330092 y1[1] (numeric) = 0.85595186632994 absolute error = 1.519895320711839e-13 relative error = 1.775678493731681e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5170555120352479 y2[1] (numeric) = 0.5170555120355004 absolute error = 2.524647157997606e-13 relative error = 4.882739085519118e-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 y1[1] (analytic) = 0.8554343829283352 y1[1] (numeric) = 0.855434382928183 absolute error = 1.52211576676109e-13 relative error = 1.779348360479224e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5179112052311847 y2[1] (numeric) = 0.5179112052314372 absolute error = 2.524647157997606e-13 relative error = 4.874671821148678e-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 y1[1] (analytic) = 0.8549160440922667 y1[1] (numeric) = 0.8549160440921142 absolute error = 1.525446435834965e-13 relative error = 1.784323088069606e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5187663805159596 y2[1] (numeric) = 0.5187663805162119 absolute error = 2.523536934972981e-13 relative error = 4.864495907508689e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.687999999999704 y1[1] (analytic) = 0.8543968503402255 y1[1] (numeric) = 0.8543968503400726 absolute error = 1.528777104908841e-13 relative error = 1.78930564210305e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5196210370343971 y2[1] (numeric) = 0.5196210370346495 absolute error = 2.523536934972981e-13 relative error = 4.856494935954511e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.688999999999704 y1[1] (analytic) = 0.8538768021914052 y1[1] (numeric) = 0.8538768021912519 absolute error = 1.532107773982716e-13 relative error = 1.794296050730839e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5204751739318408 y2[1] (numeric) = 0.5204751739320932 absolute error = 2.523536934972981e-13 relative error = 4.848525081243264e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.689999999999704 y1[1] (analytic) = 0.8533559001658537 y1[1] (numeric) = 0.8533559001657002 absolute error = 1.535438443056591e-13 relative error = 1.799294342206074e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5213287903541541 y2[1] (numeric) = 0.5213287903544064 absolute error = 2.522426711948356e-13 relative error = 4.8384565721659e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.690999999999704 y1[1] (analytic) = 0.8528341447844732 y1[1] (numeric) = 0.8528341447843194 absolute error = 1.537658889105842e-13 relative error = 1.802998740739252e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5221818854477205 y2[1] (numeric) = 0.5221818854479726 absolute error = 2.521316488923731e-13 relative error = 4.828425801791162e-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 y1[1] (analytic) = 0.8523115365690189 y1[1] (numeric) = 0.8523115365688649 absolute error = 1.539879335155092e-13 relative error = 1.806709482490262e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5230344583594448 y2[1] (numeric) = 0.523034458359697 absolute error = 2.521316488923731e-13 relative error = 4.820555220839784e-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 y1[1] (analytic) = 0.8517880760420992 y1[1] (numeric) = 0.8517880760419448 absolute error = 1.543210004228968e-13 relative error = 1.8117299920417e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5238865082367544 y2[1] (numeric) = 0.5238865082370066 absolute error = 2.521316488923731e-13 relative error = 4.812715061912415e-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 y1[1] (analytic) = 0.8512637637271744 y1[1] (numeric) = 0.8512637637270197 absolute error = 1.546540673302843e-13 relative error = 1.816758493902603e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5247380342275996 y2[1] (numeric) = 0.5247380342278516 absolute error = 2.520206265899105e-13 relative error = 4.80278939491928e-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 y1[1] (analytic) = 0.8507386001485568 y1[1] (numeric) = 0.8507386001484019 absolute error = 1.549871342376719e-13 relative error = 1.821795016831349e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5255890354804541 y2[1] (numeric) = 0.5255890354807061 absolute error = 2.520206265899105e-13 relative error = 4.795013015435761e-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 y1[1] (analytic) = 0.8502125858314099 y1[1] (numeric) = 0.8502125858312547 absolute error = 1.552091788425969e-13 relative error = 1.825533771542798e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.526439511144317 y2[1] (numeric) = 0.5264395111445689 absolute error = 2.51909604287448e-13 relative error = 4.785157628838959e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.696999999999703 y1[1] (analytic) = 0.8496857213017481 y1[1] (numeric) = 0.8496857213015926 absolute error = 1.555422457499844e-13 relative error = 1.830585613604149e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5272894603687125 y2[1] (numeric) = 0.5272894603689644 absolute error = 2.51909604287448e-13 relative error = 4.777444330317122e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.697999999999703 y1[1] (analytic) = 0.8491580070864357 y1[1] (numeric) = 0.84915800708628 absolute error = 1.557642903549095e-13 relative error = 1.834338121468767e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5281388823036917 y2[1] (numeric) = 0.5281388823039435 absolute error = 2.517985819849855e-13 relative error = 4.767658478138629e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.698999999999703 y1[1] (analytic) = 0.8486294437131872 y1[1] (numeric) = 0.8486294437130311 absolute error = 1.56097357262297e-13 relative error = 1.83940538969861e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5289877760998325 y2[1] (numeric) = 0.5289877761000843 absolute error = 2.517985819849855e-13 relative error = 4.760007572225358e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.699999999999703 y1[1] (analytic) = 0.8481000317105655 y1[1] (numeric) = 0.8481000317104092 absolute error = 1.56319401867222e-13 relative error = 1.843171748878908e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5298361409082414 y2[1] (numeric) = 0.5298361409084931 absolute error = 2.51687559682523e-13 relative error = 4.750290519085428e-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 y1[1] (analytic) = 0.8475697716079827 y1[1] (numeric) = 0.8475697716078262 absolute error = 1.565414464721471e-13 relative error = 1.846944661265604e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5306839758805535 y2[1] (numeric) = 0.5306839758808051 absolute error = 2.515765373800605e-13 relative error = 4.740609266798088e-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 y1[1] (analytic) = 0.8470386639356992 y1[1] (numeric) = 0.8470386639355423 absolute error = 1.568745133795346e-13 relative error = 1.8520348604942e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5315312801689339 y2[1] (numeric) = 0.5315312801691855 absolute error = 2.515765373800605e-13 relative error = 4.733052348304001e-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 y1[1] (analytic) = 0.8465067092248221 y1[1] (numeric) = 0.846506709224665 absolute error = 1.570965579844597e-13 relative error = 1.855821770489201e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5323780529260785 y2[1] (numeric) = 0.53237805292633 absolute error = 2.51465515077598e-13 relative error = 4.723438798716113e-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 y1[1] (analytic) = 0.8459739080073064 y1[1] (numeric) = 0.845973908007149 absolute error = 1.574296248918472e-13 relative error = 1.860927664573876e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5332242933052145 y2[1] (numeric) = 0.5332242933054659 absolute error = 2.51465515077598e-13 relative error = 4.715942582414574e-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 y1[1] (analytic) = 0.8454402608159532 y1[1] (numeric) = 0.8454402608157955 absolute error = 1.577626917992347e-13 relative error = 1.866041861396268e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5340700004601017 y2[1] (numeric) = 0.534070000460353 absolute error = 2.513544927751354e-13 relative error = 4.706396025962765e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.705999999999702 y1[1] (analytic) = 0.8449057681844097 y1[1] (numeric) = 0.8449057681842516 absolute error = 1.580957587066223e-13 relative error = 1.871164390868689e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5349151735450328 y2[1] (numeric) = 0.5349151735452842 absolute error = 2.513544927751354e-13 relative error = 4.698959857678718e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.706999999999702 y1[1] (analytic) = 0.8443704306471683 y1[1] (numeric) = 0.8443704306470099 absolute error = 1.584288256140098e-13 relative error = 1.876295283014375e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.535759811714835 y2[1] (numeric) = 0.5357598117150864 absolute error = 2.513544927751354e-13 relative error = 4.691551834965219e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.707999999999702 y1[1] (analytic) = 0.8438342487395667 y1[1] (numeric) = 0.8438342487394079 absolute error = 1.587618925213974e-13 relative error = 1.881434567968054e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5366039141248702 y2[1] (numeric) = 0.5366039141251214 absolute error = 2.512434704726729e-13 relative error = 4.682102829652626e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.708999999999702 y1[1] (analytic) = 0.8432972229977866 y1[1] (numeric) = 0.8432972229976275 absolute error = 1.590949594287849e-13 relative error = 1.886582275976527e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5374474799310359 y2[1] (numeric) = 0.5374474799312871 absolute error = 2.511324481702104e-13 relative error = 4.672688170431745e-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 y1[1] (analytic) = 0.8427593539588539 y1[1] (numeric) = 0.8427593539586945 absolute error = 1.594280263361725e-13 relative error = 1.891738437399251e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5382905082897665 y2[1] (numeric) = 0.5382905082900176 absolute error = 2.510214258677479e-13 relative error = 4.663307674981719e-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 y1[1] (analytic) = 0.8422206421606374 y1[1] (numeric) = 0.8422206421604777 absolute error = 1.5976109324356e-13 relative error = 1.896903082708921e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5391329983580336 y2[1] (numeric) = 0.5391329983582847 absolute error = 2.510214258677479e-13 relative error = 4.656020437113862e-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 y1[1] (analytic) = 0.8416810881418489 y1[1] (numeric) = 0.8416810881416888 absolute error = 1.600941601509476e-13 relative error = 1.902076242492059e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5399749492933474 y2[1] (numeric) = 0.5399749492935983 absolute error = 2.509104035652854e-13 relative error = 4.646704516452957e-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 y1[1] (analytic) = 0.8411406924420425 y1[1] (numeric) = 0.8411406924418821 absolute error = 1.604272270583351e-13 relative error = 1.907257947449607e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5408163602537568 y2[1] (numeric) = 0.5408163602540077 absolute error = 2.509104035652854e-13 relative error = 4.639475097379738e-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 y1[1] (analytic) = 0.8405994556016136 y1[1] (numeric) = 0.8405994556014529 absolute error = 1.607602939657227e-13 relative error = 1.912448228397521e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5416572303978511 y2[1] (numeric) = 0.5416572303981019 absolute error = 2.507993812628229e-13 relative error = 4.63022308552235e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.714999999999701 y1[1] (analytic) = 0.8400573781617993 y1[1] (numeric) = 0.8400573781616382 absolute error = 1.610933608731102e-13 relative error = 1.91764711626737e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.54249755888476 y2[1] (numeric) = 0.5424975588850108 absolute error = 2.507993812628229e-13 relative error = 4.623050871941322e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.715999999999701 y1[1] (analytic) = 0.8395144606646768 y1[1] (numeric) = 0.8395144606645153 absolute error = 1.615374500829603e-13 relative error = 1.924177100595321e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5433373448741554 y2[1] (numeric) = 0.5433373448744061 absolute error = 2.506883589603603e-13 relative error = 4.613862112099497e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.716999999999701 y1[1] (analytic) = 0.8389707036531635 y1[1] (numeric) = 0.8389707036530017 absolute error = 1.617594946878853e-13 relative error = 1.928070837080836e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5441765875262511 y2[1] (numeric) = 0.5441765875265018 absolute error = 2.506883589603603e-13 relative error = 4.60674649932945e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.717999999999701 y1[1] (analytic) = 0.8384261076710166 y1[1] (numeric) = 0.8384261076708545 absolute error = 1.620925615952729e-13 relative error = 1.933295732471097e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5450152860018046 y2[1] (numeric) = 0.5450152860020553 absolute error = 2.506883589603603e-13 relative error = 4.599657393086958e-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 y1[1] (analytic) = 0.8378806732628318 y1[1] (numeric) = 0.8378806732626694 absolute error = 1.624256285026604e-13 relative error = 1.938529359677803e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5458534394621176 y2[1] (numeric) = 0.5458534394623682 absolute error = 2.505773366578978e-13 relative error = 4.590560735585288e-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 y1[1] (analytic) = 0.8373344009740437 y1[1] (numeric) = 0.8373344009738808 absolute error = 1.628697177125105e-13 relative error = 1.945097651822849e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5466910470690366 y2[1] (numeric) = 0.5466910470692871 absolute error = 2.504663143554353e-13 relative error = 4.581496545411804e-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 y1[1] (analytic) = 0.8367872913509242 y1[1] (numeric) = 0.836787291350761 absolute error = 1.63202784619898e-13 relative error = 1.950349704241093e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.547528107984954 y2[1] (numeric) = 0.5475281079852045 absolute error = 2.504663143554353e-13 relative error = 4.574492353958166e-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 y1[1] (analytic) = 0.8362393449405832 y1[1] (numeric) = 0.8362393449404197 absolute error = 1.63424829224823e-13 relative error = 1.954282947981057e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5483646213728092 y2[1] (numeric) = 0.5483646213730595 absolute error = 2.503552920529728e-13 relative error = 4.565489499052988e-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 y1[1] (analytic) = 0.8356905622909669 y1[1] (numeric) = 0.8356905622908032 absolute error = 1.637578961322106e-13 relative error = 1.959551818836912e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5492005863960886 y2[1] (numeric) = 0.5492005863963388 absolute error = 2.502442697505103e-13 relative error = 4.556518619046626e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7239999999997 y1[1] (analytic) = 0.835140943950858 y1[1] (numeric) = 0.8351409439506939 absolute error = 1.640909630395981e-13 relative error = 1.964829580302001e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5500360022188274 y2[1] (numeric) = 0.5500360022190776 absolute error = 2.501332474480478e-13 relative error = 4.547579548229904e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7249999999997 y1[1] (analytic) = 0.8345904904698747 y1[1] (numeric) = 0.8345904904697103 absolute error = 1.643130076445232e-13 relative error = 1.968786003684453e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5508708680056098 y2[1] (numeric) = 0.5508708680058599 absolute error = 2.501332474480478e-13 relative error = 4.540687518177137e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7259999999997 y1[1] (analytic) = 0.8340392023984705 y1[1] (numeric) = 0.8340392023983059 absolute error = 1.646460745519107e-13 relative error = 1.974080763571224e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5517051829215701 y2[1] (numeric) = 0.5517051829218201 absolute error = 2.500222251455853e-13 relative error = 4.531808525371932e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.7269999999997 y1[1] (analytic) = 0.8334870802879334 y1[1] (numeric) = 0.8334870802877684 absolute error = 1.649791414592983e-13 relative error = 1.979384508303418e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5525389461323935 y2[1] (numeric) = 0.5525389461326434 absolute error = 2.499112028431227e-13 relative error = 4.522960862622011e-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 y1[1] (analytic) = 0.8329341246903855 y1[1] (numeric) = 0.8329341246902202 absolute error = 1.653122083666858e-13 relative error = 1.984697270364987e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5533721568043168 y2[1] (numeric) = 0.5533721568045666 absolute error = 2.498001805406602e-13 relative error = 4.514144368651248e-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 y1[1] (analytic) = 0.8323803361587823 y1[1] (numeric) = 0.8323803361586167 absolute error = 1.655342529716108e-13 relative error = 1.988685289413589e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5542048141041294 y2[1] (numeric) = 0.5542048141043792 absolute error = 2.498001805406602e-13 relative error = 4.507362155351566e-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 y1[1] (analytic) = 0.8318257152469123 y1[1] (numeric) = 0.8318257152467464 absolute error = 1.658673198789984e-13 relative error = 1.994015294775585e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5550369171991741 y2[1] (numeric) = 0.5550369171994237 absolute error = 2.495781359357352e-13 relative error = 4.496604247428365e-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 y1[1] (analytic) = 0.8312702625093963 y1[1] (numeric) = 0.8312702625092302 absolute error = 1.660893644839234e-13 relative error = 1.998018839054116e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5558684652573478 y2[1] (numeric) = 0.5558684652575974 absolute error = 2.495781359357352e-13 relative error = 4.489877579585113e-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 y1[1] (analytic) = 0.8307139785016872 y1[1] (numeric) = 0.8307139785015207 absolute error = 1.66422431391311e-13 relative error = 2.0033662090468e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5566994574471026 y2[1] (numeric) = 0.5566994574473521 absolute error = 2.494671136332727e-13 relative error = 4.481181188450807e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.732999999999699 y1[1] (analytic) = 0.8301568637800687 y1[1] (numeric) = 0.8301568637799019 absolute error = 1.667554982986985e-13 relative error = 2.008722755593292e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5575298929374464 y2[1] (numeric) = 0.5575298929376957 absolute error = 2.493560913308102e-13 relative error = 4.472515186890389e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.733999999999699 y1[1] (analytic) = 0.8295989189016557 y1[1] (numeric) = 0.8295989189014886 absolute error = 1.670885652060861e-13 relative error = 2.01408851191974e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5583597708979436 y2[1] (numeric) = 0.5583597708981929 absolute error = 2.492450690283476e-13 relative error = 4.463879420029069e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.734999999999699 y1[1] (analytic) = 0.8290401444243929 y1[1] (numeric) = 0.8290401444242255 absolute error = 1.674216321134736e-13 relative error = 2.019463511380566e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5591890904987166 y2[1] (numeric) = 0.5591890904989657 absolute error = 2.491340467258851e-13 relative error = 4.455273734036786e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.735999999999699 y1[1] (analytic) = 0.8284805409070547 y1[1] (numeric) = 0.8284805409068871 absolute error = 1.676436767183986e-13 relative error = 2.023507716123971e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5600178509104455 y2[1] (numeric) = 0.5600178509106947 absolute error = 2.491340467258851e-13 relative error = 4.448680454040117e-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 y1[1] (analytic) = 0.8279201089092447 y1[1] (numeric) = 0.8279201089090767 absolute error = 1.679767436257862e-13 relative error = 2.02890039531821e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5608460513043703 y2[1] (numeric) = 0.5608460513046194 absolute error = 2.491340467258851e-13 relative error = 4.442111095308051e-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 y1[1] (analytic) = 0.8273588489913948 y1[1] (numeric) = 0.8273588489912265 absolute error = 1.683098105331737e-13 relative error = 2.034302415914866e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5616736908522905 y2[1] (numeric) = 0.5616736908525395 absolute error = 2.490230244234226e-13 relative error = 4.433588905429273e-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 y1[1] (analytic) = 0.8267967617147648 y1[1] (numeric) = 0.8267967617145962 absolute error = 1.686428774405613e-13 relative error = 2.039713811781245e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5625007687265666 y2[1] (numeric) = 0.5625007687268155 absolute error = 2.489120021209601e-13 relative error = 4.425096212481036e-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 y1[1] (analytic) = 0.826233847641442 y1[1] (numeric) = 0.8262338476412731 absolute error = 1.689759443479488e-13 relative error = 2.045134616916333e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5633272841001209 y2[1] (numeric) = 0.5633272841003698 absolute error = 2.489120021209601e-13 relative error = 4.418603698888489e-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 y1[1] (analytic) = 0.8256701073343404 y1[1] (numeric) = 0.8256701073341711 absolute error = 1.693090112553364e-13 relative error = 2.050564865451495e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5641532361464381 y2[1] (numeric) = 0.5641532361466869 absolute error = 2.488009798184976e-13 relative error = 4.410166668864343e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.741999999999698 y1[1] (analytic) = 0.8251055413572004 y1[1] (numeric) = 0.8251055413570307 absolute error = 1.696420781627239e-13 relative error = 2.056004591651183e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5649786240395661 y2[1] (numeric) = 0.5649786240398148 absolute error = 2.486899575160351e-13 relative error = 4.401758702619854e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.742999999999698 y1[1] (analytic) = 0.8245401502745876 y1[1] (numeric) = 0.8245401502744177 absolute error = 1.69864122767649e-13 relative error = 2.060107354518527e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5658034469541171 y2[1] (numeric) = 0.5658034469543658 absolute error = 2.486899575160351e-13 relative error = 4.395341860407616e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.743999999999698 y1[1] (analytic) = 0.8239739346518934 y1[1] (numeric) = 0.8239739346517232 absolute error = 1.701971896750365e-13 relative error = 2.065565214110082e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5666277040652684 y2[1] (numeric) = 0.566627704065517 absolute error = 2.485789352135725e-13 relative error = 4.386988730521714e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.744999999999698 y1[1] (analytic) = 0.8234068950553332 y1[1] (numeric) = 0.8234068950551626 absolute error = 1.70530256582424e-13 relative error = 2.07103265234334e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5674513945487628 y2[1] (numeric) = 0.5674513945490113 absolute error = 2.4846791291111e-13 relative error = 4.378664239757339e-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 y1[1] (analytic) = 0.8228390320519464 y1[1] (numeric) = 0.8228390320517757 absolute error = 1.707523011873491e-13 relative error = 2.07516044494799e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5682745175809099 y2[1] (numeric) = 0.5682745175811583 absolute error = 2.4846791291111e-13 relative error = 4.372321918794003e-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 y1[1] (analytic) = 0.8222703462095963 y1[1] (numeric) = 0.8222703462094252 absolute error = 1.710853680947366e-13 relative error = 2.080646211837573e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5690970723385869 y2[1] (numeric) = 0.5690970723388351 absolute error = 2.48245868306185e-13 relative error = 4.362100604138937e-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 y1[1] (analytic) = 0.8217008380969684 y1[1] (numeric) = 0.8217008380967971 absolute error = 1.713074126996617e-13 relative error = 2.08479053150784e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5699190579992388 y2[1] (numeric) = 0.5699190579994871 absolute error = 2.48245868306185e-13 relative error = 4.355809212235829e-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 y1[1] (analytic) = 0.8211305082835709 y1[1] (numeric) = 0.8211305082833993 absolute error = 1.716404796070492e-13 relative error = 2.09029475674742e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5707404737408803 y2[1] (numeric) = 0.5707404737411285 absolute error = 2.481348460037225e-13 relative error = 4.347595052745063e-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 y1[1] (analytic) = 0.8205593573397336 y1[1] (numeric) = 0.8205593573395616 absolute error = 1.719735465144367e-13 relative error = 2.095808730668525e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5715613187420956 y2[1] (numeric) = 0.5715613187423437 absolute error = 2.481348460037225e-13 relative error = 4.341351275307136e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.750999999999697 y1[1] (analytic) = 0.8199873858366072 y1[1] (numeric) = 0.819987385836435 absolute error = 1.721955911193618e-13 relative error = 2.099978537397573e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5723815921820398 y2[1] (numeric) = 0.5723815921822879 absolute error = 2.481348460037225e-13 relative error = 4.33512973500388e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.751999999999697 y1[1] (analytic) = 0.8194145943461635 y1[1] (numeric) = 0.819414594345991 absolute error = 1.725286580267493e-13 relative error = 2.105511168792586e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5732012932404396 y2[1] (numeric) = 0.5732012932406876 absolute error = 2.4802382370126e-13 relative error = 4.326993442375608e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.752999999999697 y1[1] (analytic) = 0.8188409834411936 y1[1] (numeric) = 0.8188409834410207 absolute error = 1.728617249341369e-13 relative error = 2.111053653026531e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5740204210975938 y2[1] (numeric) = 0.5740204210978418 absolute error = 2.4802382370126e-13 relative error = 4.320818817334226e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.753999999999697 y1[1] (analytic) = 0.8182665536953085 y1[1] (numeric) = 0.8182665536951353 absolute error = 1.731947918415244e-13 relative error = 2.11660602598717e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5748389749343747 y2[1] (numeric) = 0.5748389749346227 absolute error = 2.479128013987975e-13 relative error = 4.312734734576755e-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 y1[1] (analytic) = 0.817691305682938 y1[1] (numeric) = 0.8176913056827645 absolute error = 1.73527858748912e-13 relative error = 2.122168323704763e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5756569539322287 y2[1] (numeric) = 0.5756569539324765 absolute error = 2.478017790963349e-13 relative error = 4.30467794063178e-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 y1[1] (analytic) = 0.8171152399793299 y1[1] (numeric) = 0.817115239979156 absolute error = 1.738609256562995e-13 relative error = 2.127740582352834e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5764743572731768 y2[1] (numeric) = 0.5764743572734244 absolute error = 2.476907567938724e-13 relative error = 4.296648301331085e-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 y1[1] (analytic) = 0.8165383571605499 y1[1] (numeric) = 0.8165383571603757 absolute error = 1.741939925636871e-13 relative error = 2.13332283824894e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5772911841398155 y2[1] (numeric) = 0.5772911841400631 absolute error = 2.475797344914099e-13 relative error = 4.288645683379222e-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 y1[1] (analytic) = 0.8159606578034807 y1[1] (numeric) = 0.8159606578033063 absolute error = 1.744160371686121e-13 relative error = 2.13755449482246e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5781074337153181 y2[1] (numeric) = 0.5781074337155657 absolute error = 2.475797344914099e-13 relative error = 4.28259039847129e-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 y1[1] (analytic) = 0.8153821424858219 y1[1] (numeric) = 0.815382142485647 absolute error = 1.748601263784622e-13 relative error = 2.14451748778031e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5789231051834354 y2[1] (numeric) = 0.5789231051836828 absolute error = 2.474687121889474e-13 relative error = 4.274638720984118e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.759999999999696 y1[1] (analytic) = 0.8148028117860884 y1[1] (numeric) = 0.8148028117859132 absolute error = 1.751931932858497e-13 relative error = 2.150129954777862e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5797381977284957 y2[1] (numeric) = 0.579738197728743 absolute error = 2.473576898864849e-13 relative error = 4.266713679651793e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.760999999999696 y1[1] (analytic) = 0.8142226662836111 y1[1] (numeric) = 0.8142226662834355 absolute error = 1.755262601932372e-13 relative error = 2.155752565749597e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5805527105354065 y2[1] (numeric) = 0.5805527105356537 absolute error = 2.472466675840224e-13 relative error = 4.258815144554276e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.761999999999696 y1[1] (analytic) = 0.8136417065585352 y1[1] (numeric) = 0.8136417065583594 absolute error = 1.757483047981623e-13 relative error = 2.160020846786798e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5813666427896551 y2[1] (numeric) = 0.5813666427899024 absolute error = 2.472466675840224e-13 relative error = 4.252852664501409e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.762999999999696 y1[1] (analytic) = 0.8130599331918207 y1[1] (numeric) = 0.8130599331916446 absolute error = 1.760813717055498e-13 relative error = 2.16566288064779e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5821799936773094 y2[1] (numeric) = 0.5821799936775566 absolute error = 2.471356452815598e-13 relative error = 4.245004087490889e-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 y1[1] (analytic) = 0.8124773467652407 y1[1] (numeric) = 0.8124773467650643 absolute error = 1.764144386129374e-13 relative error = 2.171315167312732e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5829927623850186 y2[1] (numeric) = 0.5829927623852657 absolute error = 2.470246229790973e-13 relative error = 4.237181641304115e-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 y1[1] (analytic) = 0.8118939478613817 y1[1] (numeric) = 0.8118939478612049 absolute error = 1.767475055203249e-13 relative error = 2.176977744271864e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5838049481000139 y2[1] (numeric) = 0.583804948100261 absolute error = 2.470246229790973e-13 relative error = 4.231286901267897e-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 y1[1] (analytic) = 0.8113097370636425 y1[1] (numeric) = 0.8113097370634654 absolute error = 1.770805724277125e-13 relative error = 2.182650649166577e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5846165500101099 y2[1] (numeric) = 0.5846165500103568 absolute error = 2.469136006766348e-13 relative error = 4.223513697523015e-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 y1[1] (analytic) = 0.8107247149562338 y1[1] (numeric) = 0.8107247149560565 absolute error = 1.773026170326375e-13 relative error = 2.186964499314777e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5854275673037045 y2[1] (numeric) = 0.5854275673039514 absolute error = 2.469136006766348e-13 relative error = 4.217662687355864e-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 y1[1] (analytic) = 0.8101388821241777 y1[1] (numeric) = 0.8101388821240001 absolute error = 1.77635683940025e-13 relative error = 2.192657183349424e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5862379991697806 y2[1] (numeric) = 0.5862379991700274 absolute error = 2.468025783741723e-13 relative error = 4.209938262679826e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.768999999999695 y1[1] (analytic) = 0.809552239153307 y1[1] (numeric) = 0.8095522391531291 absolute error = 1.778577285449501e-13 relative error = 2.196988902544048e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5870478447979064 y2[1] (numeric) = 0.5870478447981531 absolute error = 2.466915560717098e-13 relative error = 4.202239361880876e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.769999999999695 y1[1] (analytic) = 0.8089647866302646 y1[1] (numeric) = 0.8089647866300864 absolute error = 1.781907954523376e-13 relative error = 2.202701506880043e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5878571033782364 y2[1] (numeric) = 0.587857103378483 absolute error = 2.465805337692473e-13 relative error = 4.1945658622176e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.770999999999695 y1[1] (analytic) = 0.808376525142503 y1[1] (numeric) = 0.8083765251423245 absolute error = 1.785238623597252e-13 relative error = 2.208424624011125e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5886657741015119 y2[1] (numeric) = 0.5886657741017584 absolute error = 2.464695114667848e-13 relative error = 4.186917641729287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.771999999999695 y1[1] (analytic) = 0.8077874552782837 y1[1] (numeric) = 0.8077874552781048 absolute error = 1.788569292671127e-13 relative error = 2.214158292486683e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5894738561590623 y2[1] (numeric) = 0.5894738561593087 absolute error = 2.463584891643222e-13 relative error = 4.179294579229743e-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 y1[1] (analytic) = 0.8071975776266763 y1[1] (numeric) = 0.8071975776264971 absolute error = 1.791899961745003e-13 relative error = 2.219902551013037e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5902813487428058 y2[1] (numeric) = 0.590281348743052 absolute error = 2.462474668618597e-13 relative error = 4.171696554301148e-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 y1[1] (analytic) = 0.8066068927775586 y1[1] (numeric) = 0.8066068927773791 absolute error = 1.795230630818878e-13 relative error = 2.225657438454294e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5910882510452496 y2[1] (numeric) = 0.5910882510454959 absolute error = 2.462474668618597e-13 relative error = 4.166001716772556e-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 y1[1] (analytic) = 0.8060154013216153 y1[1] (numeric) = 0.8060154013214355 absolute error = 1.798561299892754e-13 relative error = 2.231422993833208e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5918945622594918 y2[1] (numeric) = 0.5918945622597379 absolute error = 2.461364445593972e-13 relative error = 4.158450850093954e-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 y1[1] (analytic) = 0.8054231038503379 y1[1] (numeric) = 0.8054231038501577 absolute error = 1.801891968966629e-13 relative error = 2.237199256332052e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5927002815792209 y2[1] (numeric) = 0.592700281579467 absolute error = 2.460254222569347e-13 relative error = 4.150924673114917e-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 y1[1] (analytic) = 0.8048300009560238 y1[1] (numeric) = 0.8048300009558432 absolute error = 1.805222638040505e-13 relative error = 2.242986265293486e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5935054081987179 y2[1] (numeric) = 0.5935054081989639 absolute error = 2.460254222569347e-13 relative error = 4.145293688285319e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.777999999999694 y1[1] (analytic) = 0.8042360932317757 y1[1] (numeric) = 0.8042360932315948 absolute error = 1.80855330711438e-13 relative error = 2.248784060221439e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5943099413128562 y2[1] (numeric) = 0.5943099413131021 absolute error = 2.459143999544722e-13 relative error = 4.137814006799831e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.778999999999694 y1[1] (analytic) = 0.8036413812715015 y1[1] (numeric) = 0.8036413812713202 absolute error = 1.812994199212881e-13 relative error = 2.255974171395214e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5951138801171026 y2[1] (numeric) = 0.5951138801173484 absolute error = 2.458033776520097e-13 relative error = 4.130358673597767e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.779999999999694 y1[1] (analytic) = 0.803045865669913 y1[1] (numeric) = 0.8030458656697314 absolute error = 1.816324868286756e-13 relative error = 2.261794681890991e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5959172238075185 y2[1] (numeric) = 0.5959172238077642 absolute error = 2.456923553495471e-13 relative error = 4.122927573392405e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.780999999999694 y1[1] (analytic) = 0.8024495470225257 y1[1] (numeric) = 0.8024495470223437 absolute error = 1.819655537360632e-13 relative error = 2.267626100746683e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5967199715807603 y2[1] (numeric) = 0.596719971581006 absolute error = 2.456923553495471e-13 relative error = 4.117381134381809e-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 y1[1] (analytic) = 0.8018524259256582 y1[1] (numeric) = 0.801852425925476 absolute error = 1.821875983409882e-13 relative error = 2.272083895371033e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5975221226340802 y2[1] (numeric) = 0.5975221226343258 absolute error = 2.455813330470846e-13 relative error = 4.109995659482511e-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 y1[1] (analytic) = 0.8012545029764316 y1[1] (numeric) = 0.8012545029762491 absolute error = 1.825206652483757e-13 relative error = 2.277936218397071e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5983236761653273 y2[1] (numeric) = 0.5983236761655728 absolute error = 2.454703107446221e-13 relative error = 4.102634084578568e-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 y1[1] (analytic) = 0.8006557787727689 y1[1] (numeric) = 0.8006557787725861 absolute error = 1.828537321557633e-13 relative error = 2.283799567849723e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5991246313729481 y2[1] (numeric) = 0.5991246313731935 absolute error = 2.453592884421596e-13 relative error = 4.095296297197741e-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 y1[1] (analytic) = 0.8000562539133941 y1[1] (numeric) = 0.800056253913211 absolute error = 1.830757767606883e-13 relative error = 2.288286303184204e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.5999249874559874 y2[1] (numeric) = 0.5999249874562327 absolute error = 2.452482661396971e-13 relative error = 4.087982185567647e-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 y1[1] (analytic) = 0.799455928997832 y1[1] (numeric) = 0.7994559289976486 absolute error = 1.834088436680759e-13 relative error = 2.29417078559903e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6007247436140893 y2[1] (numeric) = 0.6007247436143345 absolute error = 2.451372438372346e-13 relative error = 4.080691638610325e-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 y1[1] (analytic) = 0.7988548046264077 y1[1] (numeric) = 0.7988548046262238 absolute error = 1.838529328779259e-13 relative error = 2.301456182189535e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6015238990474976 y2[1] (numeric) = 0.6015238990477427 absolute error = 2.451372438372346e-13 relative error = 4.075270229917798e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.787999999999693 y1[1] (analytic) = 0.7982528814002452 y1[1] (numeric) = 0.798252881400061 absolute error = 1.841859997853135e-13 relative error = 2.307364045617047e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.602322452957057 y2[1] (numeric) = 0.602322452957302 absolute error = 2.45026221534772e-13 relative error = 4.06802403483108e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.788999999999693 y1[1] (analytic) = 0.7976501599212678 y1[1] (numeric) = 0.7976501599210833 absolute error = 1.844080443902385e-13 relative error = 2.311891273342696e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6031204045442137 y2[1] (numeric) = 0.6031204045444586 absolute error = 2.449151992323095e-13 relative error = 4.060801083614395e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.789999999999693 y1[1] (analytic) = 0.797046640792197 y1[1] (numeric) = 0.7970466407920123 absolute error = 1.84741111297626e-13 relative error = 2.31782058718683e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.603917753011016 y2[1] (numeric) = 0.6039177530112608 absolute error = 2.44804176929847e-13 relative error = 4.053601267876316e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.790999999999693 y1[1] (analytic) = 0.7964423246165518 y1[1] (numeric) = 0.7964423246163668 absolute error = 1.850741782050136e-13 relative error = 2.323761212641704e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6047144975601156 y2[1] (numeric) = 0.6047144975603604 absolute error = 2.44804176929847e-13 relative error = 4.048260425664934e-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 y1[1] (analytic) = 0.7958372119986483 y1[1] (numeric) = 0.795837211998463 absolute error = 1.852962228099386e-13 relative error = 2.328318153716257e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6055106373947682 y2[1] (numeric) = 0.6055106373950129 absolute error = 2.446931546273845e-13 relative error = 4.041104144432306e-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 y1[1] (analytic) = 0.7952313035435993 y1[1] (numeric) = 0.7952313035434136 absolute error = 1.856292897173262e-13 relative error = 2.334280465194852e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6063061717188337 y2[1] (numeric) = 0.6063061717190783 absolute error = 2.44582132324922e-13 relative error = 4.033970685661165e-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 y1[1] (analytic) = 0.7946245998573129 y1[1] (numeric) = 0.794624599857127 absolute error = 1.859623566247137e-13 relative error = 2.340254211335845e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6071010997367781 y2[1] (numeric) = 0.6071010997370225 absolute error = 2.444711100224595e-13 relative error = 4.026859943565499e-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 y1[1] (analytic) = 0.7940171015464929 y1[1] (numeric) = 0.7940171015463067 absolute error = 1.861844012296388e-13 relative error = 2.344841198848372e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6078954206536733 y2[1] (numeric) = 0.6078954206539177 absolute error = 2.44360087719997e-13 relative error = 4.019771813007494e-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 y1[1] (analytic) = 0.7934088092186374 y1[1] (numeric) = 0.7934088092184509 absolute error = 1.865174681370263e-13 relative error = 2.350836869592006e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6086891336751986 y2[1] (numeric) = 0.6086891336754428 absolute error = 2.441380431150719e-13 relative error = 4.010882232133718e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.796999999999692 y1[1] (analytic) = 0.792799723482039 y1[1] (numeric) = 0.7927997234818521 absolute error = 1.868505350444138e-13 relative error = 2.356844099588627e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6094822380076408 y2[1] (numeric) = 0.6094822380078849 absolute error = 2.441380431150719e-13 relative error = 4.005662969164514e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.797999999999692 y1[1] (analytic) = 0.792189844945783 y1[1] (numeric) = 0.7921898449455959 absolute error = 1.871836019518014e-13 relative error = 2.362862931733392e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6102747328578959 y2[1] (numeric) = 0.6102747328581399 absolute error = 2.440270208126094e-13 relative error = 3.998642048800532e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.798999999999692 y1[1] (analytic) = 0.7915791742197482 y1[1] (numeric) = 0.7915791742195607 absolute error = 1.875166688591889e-13 relative error = 2.368893409102409e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.611066617433469 y2[1] (numeric) = 0.6110666174337129 absolute error = 2.439159985101469e-13 relative error = 3.991643325806514e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.799999999999692 y1[1] (analytic) = 0.7909677119146051 y1[1] (numeric) = 0.7909677119144173 absolute error = 1.878497357665765e-13 relative error = 2.37493557495375e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6118578909424756 y2[1] (numeric) = 0.6118578909427194 absolute error = 2.438049762076844e-13 relative error = 3.984666698212215e-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 y1[1] (analytic) = 0.790355458641816 y1[1] (numeric) = 0.7903554586416278 absolute error = 1.88182802673964e-13 relative error = 2.380989472728463e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6126485525936421 y2[1] (numeric) = 0.6126485525938858 absolute error = 2.436939539052219e-13 relative error = 3.977712064666532e-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 y1[1] (analytic) = 0.7897424150136342 y1[1] (numeric) = 0.7897424150134457 absolute error = 1.885158695813516e-13 relative error = 2.387055146051603e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6134386015963071 y2[1] (numeric) = 0.6134386015965508 absolute error = 2.436939539052219e-13 relative error = 3.972589160041032e-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 y1[1] (analytic) = 0.7891285816431031 y1[1] (numeric) = 0.7891285816429143 absolute error = 1.887379141862766e-13 relative error = 2.39172574123841e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6142280371604217 y2[1] (numeric) = 0.6142280371606653 absolute error = 2.435829316027593e-13 relative error = 3.96567588690422e-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 y1[1] (analytic) = 0.7885139591440561 y1[1] (numeric) = 0.788513959143867 absolute error = 1.890709810936642e-13 relative error = 2.397814000641201e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6150168584965503 y2[1] (numeric) = 0.6150168584967938 absolute error = 2.434719093002968e-13 relative error = 3.95878431520528e-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 y1[1] (analytic) = 0.7878985481311157 y1[1] (numeric) = 0.7878985481309263 absolute error = 1.894040480010517e-13 relative error = 2.403914164460836e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6158050648158717 y2[1] (numeric) = 0.6158050648161151 absolute error = 2.433608869978343e-13 relative error = 3.951914345988698e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.805999999999691 y1[1] (analytic) = 0.7872823492196929 y1[1] (numeric) = 0.7872823492195031 absolute error = 1.897371149084393e-13 relative error = 2.410026277059245e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6165926553301796 y2[1] (numeric) = 0.6165926553304228 absolute error = 2.432498646953718e-13 relative error = 3.945065880895285e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.806999999999691 y1[1] (analytic) = 0.7866653630259863 y1[1] (numeric) = 0.7866653630257964 absolute error = 1.899591595133643e-13 relative error = 2.414739080193737e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6173796292518835 y2[1] (numeric) = 0.6173796292521266 absolute error = 2.431388423929093e-13 relative error = 3.938238822157696e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.807999999999691 y1[1] (analytic) = 0.7860475901669824 y1[1] (numeric) = 0.7860475901667922 absolute error = 1.902922264207518e-13 relative error = 2.420874115017991e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6181659857940096 y2[1] (numeric) = 0.6181659857942526 absolute error = 2.430278200904468e-13 relative error = 3.931433072595982e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.808999999999691 y1[1] (analytic) = 0.7854290312604538 y1[1] (numeric) = 0.7854290312602632 absolute error = 1.906252933281394e-13 relative error = 2.427021229686717e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6189517241702014 y2[1] (numeric) = 0.6189517241704444 absolute error = 2.430278200904468e-13 relative error = 3.926442250666033e-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 y1[1] (analytic) = 0.7848096869249593 y1[1] (numeric) = 0.7848096869247685 absolute error = 1.908473379330644e-13 relative error = 2.431765829507562e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6197368435947207 y2[1] (numeric) = 0.6197368435949635 absolute error = 2.428057754855217e-13 relative error = 3.917885115191013e-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 y1[1] (analytic) = 0.7841895577798434 y1[1] (numeric) = 0.7841895577796523 absolute error = 1.91180404840452e-13 relative error = 2.437936120722035e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6205213432824479 y2[1] (numeric) = 0.6205213432826907 absolute error = 2.428057754855217e-13 relative error = 3.912931893706061e-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 y1[1] (analytic) = 0.783568644445235 y1[1] (numeric) = 0.7835686444450436 absolute error = 1.91402449445377e-13 relative error = 2.44270174415784e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6213052224488836 y2[1] (numeric) = 0.6213052224491263 absolute error = 2.426947531830592e-13 relative error = 3.906208163299744e-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 y1[1] (analytic) = 0.7829469475420475 y1[1] (numeric) = 0.7829469475418558 absolute error = 1.917355163527645e-13 relative error = 2.448895381158217e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6220884803101487 y2[1] (numeric) = 0.6220884803103913 absolute error = 2.425837308805967e-13 relative error = 3.899505272299112e-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 y1[1] (analytic) = 0.7823244676919777 y1[1] (numeric) = 0.7823244676917857 absolute error = 1.920685832601521e-13 relative error = 2.455101319108616e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6228711160829853 y2[1] (numeric) = 0.6228711160832278 absolute error = 2.424727085781342e-13 relative error = 3.892823126924856e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.81499999999969 y1[1] (analytic) = 0.7817012055175053 y1[1] (numeric) = 0.781701205517313 absolute error = 1.922906278650771e-13 relative error = 2.4598993388756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6236531289847577 y2[1] (numeric) = 0.623653128985 absolute error = 2.423616862756717e-13 relative error = 3.886161633955261e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.81599999999969 y1[1] (analytic) = 0.7810771616418927 y1[1] (numeric) = 0.7810771616417 absolute error = 1.926236947724647e-13 relative error = 2.466128882421203e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6244345182334531 y2[1] (numeric) = 0.6244345182336953 absolute error = 2.422506639732092e-13 relative error = 3.879520700722066e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.81699999999969 y1[1] (analytic) = 0.7804523366891835 y1[1] (numeric) = 0.7804523366889905 absolute error = 1.929567616798522e-13 relative error = 2.472370862497624e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6252152830476823 y2[1] (numeric) = 0.6252152830479244 absolute error = 2.421396416707466e-13 relative error = 3.872900235106373e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.81799999999969 y1[1] (analytic) = 0.7798267312842025 y1[1] (numeric) = 0.7798267312840093 absolute error = 1.932898285872398e-13 relative error = 2.478625325768637e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6259954226466805 y2[1] (numeric) = 0.6259954226469225 absolute error = 2.420286193682841e-13 relative error = 3.866300145534579e-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 y1[1] (analytic) = 0.7792003460525554 y1[1] (numeric) = 0.7792003460523618 absolute error = 1.936228954946273e-13 relative error = 2.484892319100277e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6267749362503082 y2[1] (numeric) = 0.6267749362505501 absolute error = 2.419175970658216e-13 relative error = 3.85972034097435e-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 y1[1] (analytic) = 0.7785731816206271 y1[1] (numeric) = 0.7785731816204331 absolute error = 1.939559624020148e-13 relative error = 2.491171889561991e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6275538230790521 y2[1] (numeric) = 0.6275538230792937 absolute error = 2.416955524608966e-13 relative error = 3.851391602954995e-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 y1[1] (analytic) = 0.777945238615582 y1[1] (numeric) = 0.7779452386153878 absolute error = 1.941780070069399e-13 relative error = 2.496036962093832e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6283320823540249 y2[1] (numeric) = 0.6283320823542666 absolute error = 2.416955524608966e-13 relative error = 3.846621225441686e-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 y1[1] (analytic) = 0.7773165176653631 y1[1] (numeric) = 0.7773165176651686 absolute error = 1.945110739143274e-13 relative error = 2.502340674536714e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.629109713296968 y2[1] (numeric) = 0.6291097132972094 absolute error = 2.414735078559715e-13 relative error = 3.838336982439583e-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 y1[1] (analytic) = 0.7766870193986914 y1[1] (numeric) = 0.7766870193984966 absolute error = 1.94844140821715e-13 relative error = 2.50865710325071e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6298867151302501 y2[1] (numeric) = 0.6298867151304914 absolute error = 2.41362485553509e-13 relative error = 3.831839595213551e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.823999999999689 y1[1] (analytic) = 0.776056744445065 y1[1] (numeric) = 0.7760567444448699 absolute error = 1.9506618542664e-13 relative error = 2.513555700957486e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6306630870768695 y2[1] (numeric) = 0.6306630870771108 absolute error = 2.41362485553509e-13 relative error = 3.827122444603931e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.824999999999689 y1[1] (analytic) = 0.7754256934347589 y1[1] (numeric) = 0.7754256934345635 absolute error = 1.953992523340276e-13 relative error = 2.519896541840184e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6314388283604544 y2[1] (numeric) = 0.6314388283606956 absolute error = 2.412514632510465e-13 relative error = 3.820662468246711e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.825999999999689 y1[1] (analytic) = 0.7747938669988238 y1[1] (numeric) = 0.7747938669986282 absolute error = 1.956212969389526e-13 relative error = 2.524817312980222e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6322139382052636 y2[1] (numeric) = 0.6322139382055048 absolute error = 2.41140440948584e-13 relative error = 3.814222154499414e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.826999999999689 y1[1] (analytic) = 0.7741612657690864 y1[1] (numeric) = 0.7741612657688904 absolute error = 1.959543638463401e-13 relative error = 2.531182745905923e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6329884158361873 y2[1] (numeric) = 0.6329884158364283 absolute error = 2.410294186461215e-13 relative error = 3.8078014165191e-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 y1[1] (analytic) = 0.7735278903781477 y1[1] (numeric) = 0.7735278903779514 absolute error = 1.962874307537277e-13 relative error = 2.537561129926038e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6337622604787478 y2[1] (numeric) = 0.6337622604789888 absolute error = 2.40918396343659e-13 relative error = 3.801400167969418e-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 y1[1] (analytic) = 0.7728937414593832 y1[1] (numeric) = 0.7728937414591865 absolute error = 1.966204976611152e-13 relative error = 2.543952513962075e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6345354713591008 y2[1] (numeric) = 0.6345354713593415 absolute error = 2.406963517387339e-13 relative error = 3.793268660350705e-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 y1[1] (analytic) = 0.7722588196469414 y1[1] (numeric) = 0.7722588196467446 absolute error = 1.968425422660403e-13 relative error = 2.548919316402654e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6353080477040353 y2[1] (numeric) = 0.6353080477042758 absolute error = 2.405853294362714e-13 relative error = 3.786908261365997e-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 y1[1] (analytic) = 0.7716231255757445 y1[1] (numeric) = 0.7716231255755474 absolute error = 1.971756091734278e-13 relative error = 2.555335663719328e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6360799887409749 y2[1] (numeric) = 0.6360799887412154 absolute error = 2.404743071338089e-13 relative error = 3.780567088893832e-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 y1[1] (analytic) = 0.7709866598814863 y1[1] (numeric) = 0.7709866598812888 absolute error = 1.975086760808153e-13 relative error = 2.561765155718463e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6368512936979789 y2[1] (numeric) = 0.6368512936982192 absolute error = 2.403632848313464e-13 relative error = 3.774245058617036e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.832999999999688 y1[1] (analytic) = 0.7703494232006325 y1[1] (numeric) = 0.7703494232004346 absolute error = 1.978417429882029e-13 relative error = 2.568207842179124e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6376219618037422 y2[1] (numeric) = 0.6376219618039825 absolute error = 2.402522625288839e-13 relative error = 3.767942086706742e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.833999999999688 y1[1] (analytic) = 0.7697114161704196 y1[1] (numeric) = 0.7697114161702214 absolute error = 1.981748098955904e-13 relative error = 2.574663773100556e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6383919922875968 y2[1] (numeric) = 0.6383919922878369 absolute error = 2.401412402264214e-13 relative error = 3.761658089818853e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.834999999999688 y1[1] (analytic) = 0.7690726394288547 y1[1] (numeric) = 0.7690726394286562 absolute error = 1.98507876802978e-13 relative error = 2.581132998703454e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6391613843795124 y2[1] (numeric) = 0.6391613843797523 absolute error = 2.399191956214963e-13 relative error = 3.753655985559985e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.835999999999688 y1[1] (analytic) = 0.7684330936147146 y1[1] (numeric) = 0.7684330936145157 absolute error = 1.988409437103655e-13 relative error = 2.587615569431248e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6399301373100968 y2[1] (numeric) = 0.6399301373103367 absolute error = 2.398081733190338e-13 relative error = 3.74741177727699e-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 y1[1] (analytic) = 0.7677927793675448 y1[1] (numeric) = 0.7677927793673456 absolute error = 1.991740106177531e-13 relative error = 2.594111535951393e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6406982503105974 y2[1] (numeric) = 0.640698250310837 absolute error = 2.396971510165713e-13 relative error = 3.741186290119741e-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 y1[1] (analytic) = 0.7671516973276595 y1[1] (numeric) = 0.7671516973274601 absolute error = 1.993960552226781e-13 relative error = 2.599173747738105e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6414657226129008 y2[1] (numeric) = 0.6414657226131405 absolute error = 2.396971510165713e-13 relative error = 3.736710202381602e-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 y1[1] (analytic) = 0.766509848136141 y1[1] (numeric) = 0.7665098481359413 absolute error = 1.997291221300657e-13 relative error = 2.605695446910833e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6422325534495352 y2[1] (numeric) = 0.6422325534497748 absolute error = 2.395861287141088e-13 relative error = 3.730519847168332e-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 y1[1] (analytic) = 0.7658672324348381 y1[1] (numeric) = 0.7658672324346381 absolute error = 2.000621890374532e-13 relative error = 2.612230691753417e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6429987420536697 y2[1] (numeric) = 0.6429987420539092 absolute error = 2.394751064116463e-13 relative error = 3.724347976899429e-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 y1[1] (analytic) = 0.7652238508663667 y1[1] (numeric) = 0.7652238508661663 absolute error = 2.003952559448408e-13 relative error = 2.618779533831289e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6437642876591156 y2[1] (numeric) = 0.643764287659355 absolute error = 2.393640841091838e-13 relative error = 3.718194511527971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.841999999999687 y1[1] (analytic) = 0.7645797040741081 y1[1] (numeric) = 0.7645797040739074 absolute error = 2.007283228522283e-13 relative error = 2.625342024940442e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6445291895003277 y2[1] (numeric) = 0.6445291895005668 absolute error = 2.391420395042587e-13 relative error = 3.710336838113631e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.842999999999687 y1[1] (analytic) = 0.7639347927022092 y1[1] (numeric) = 0.7639347927020081 absolute error = 2.010613897596158e-13 relative error = 2.631918217108773e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6452934468124039 y2[1] (numeric) = 0.6452934468126429 absolute error = 2.390310172017962e-13 relative error = 3.704221984316633e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.843999999999687 y1[1] (analytic) = 0.7632891173955813 y1[1] (numeric) = 0.7632891173953799 absolute error = 2.013944566670034e-13 relative error = 2.638508162597436e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.646057058831087 y2[1] (numeric) = 0.6460570588313259 absolute error = 2.389199948993337e-13 relative error = 3.698125291465933e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.844999999999687 y1[1] (analytic) = 0.7626426787998996 y1[1] (numeric) = 0.7626426787996978 absolute error = 2.017275235743909e-13 relative error = 2.645111913902208e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6468200247927651 y2[1] (numeric) = 0.6468200247930039 absolute error = 2.388089725968712e-13 relative error = 3.692046681352873e-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 y1[1] (analytic) = 0.7619954775616026 y1[1] (numeric) = 0.7619954775614005 absolute error = 2.020605904817785e-13 relative error = 2.651729523754859e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6475823439344724 y2[1] (numeric) = 0.647582343934711 absolute error = 2.385869279919461e-13 relative error = 3.684271664084904e-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 y1[1] (analytic) = 0.7613475143278915 y1[1] (numeric) = 0.7613475143276892 absolute error = 2.022826350867035e-13 relative error = 2.65690281087049e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6483440154938896 y2[1] (numeric) = 0.6483440154941282 absolute error = 2.385869279919461e-13 relative error = 3.679943398724789e-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 y1[1] (analytic) = 0.7606987897467296 y1[1] (numeric) = 0.7606987897465269 absolute error = 2.026157019940911e-13 relative error = 2.663547053381679e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6491050387093455 y2[1] (numeric) = 0.6491050387095839 absolute error = 2.383648833870211e-13 relative error = 3.672208181606112e-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 y1[1] (analytic) = 0.7600493044668413 y1[1] (numeric) = 0.7600493044666383 absolute error = 2.029487689014786e-13 relative error = 2.670205310481048e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6498654128198167 y2[1] (numeric) = 0.6498654128200551 absolute error = 2.383648833870211e-13 relative error = 3.667911519598148e-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 y1[1] (analytic) = 0.7593990591377119 y1[1] (numeric) = 0.7593990591375086 absolute error = 2.032818358088662e-13 relative error = 2.676877635846562e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6506251370649293 y2[1] (numeric) = 0.6506251370651674 absolute error = 2.381428387820961e-13 relative error = 3.660215771194997e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.850999999999686 y1[1] (analytic) = 0.7587480544095866 y1[1] (numeric) = 0.758748054409383 absolute error = 2.036149027162537e-13 relative error = 2.683564083399132e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.651384210684959 y2[1] (numeric) = 0.651384210685197 absolute error = 2.380318164796336e-13 relative error = 3.654246028305363e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.851999999999686 y1[1] (analytic) = 0.7580962909334702 y1[1] (numeric) = 0.7580962909332662 absolute error = 2.039479696236413e-13 relative error = 2.690264707304043e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6521426329208323 y2[1] (numeric) = 0.6521426329210702 absolute error = 2.37920794177171e-13 relative error = 3.648293826636753e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.852999999999686 y1[1] (analytic) = 0.7574437693611259 y1[1] (numeric) = 0.7574437693609217 absolute error = 2.041700142285663e-13 relative error = 2.695513812210452e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.652900403014127 y2[1] (numeric) = 0.6529004030143648 absolute error = 2.378097718747085e-13 relative error = 3.642359091476361e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.853999999999686 y1[1] (analytic) = 0.7567904903450755 y1[1] (numeric) = 0.756790490344871 absolute error = 2.045030811359538e-13 relative error = 2.702241687031586e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6536575202070731 y2[1] (numeric) = 0.6536575202073108 absolute error = 2.37698749572246e-13 relative error = 3.636441748531327e-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 y1[1] (analytic) = 0.7561364545385978 y1[1] (numeric) = 0.756136454538393 absolute error = 2.048361480433414e-13 relative error = 2.708983898525756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6544139837425536 y2[1] (numeric) = 0.6544139837427911 absolute error = 2.375877272697835e-13 relative error = 3.630541723925791e-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 y1[1] (analytic) = 0.7554816625957285 y1[1] (numeric) = 0.7554816625955234 absolute error = 2.050581926482664e-13 relative error = 2.714270945289597e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6551697928641047 y2[1] (numeric) = 0.6551697928643422 absolute error = 2.37476704967321e-13 relative error = 3.624658944197972e-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 y1[1] (analytic) = 0.7548261151712596 y1[1] (numeric) = 0.7548261151710542 absolute error = 2.05391259555654e-13 relative error = 2.721040719544441e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6559249468159176 y2[1] (numeric) = 0.655924946816155 absolute error = 2.373656826648585e-13 relative error = 3.618793336297271e-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 y1[1] (analytic) = 0.7541698129207385 y1[1] (numeric) = 0.7541698129205328 absolute error = 2.057243264630415e-13 relative error = 2.727824992972274e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6566794448428384 y2[1] (numeric) = 0.6566794448430756 absolute error = 2.37254660362396e-13 relative error = 3.612944827581402e-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 y1[1] (analytic) = 0.7535127565004672 y1[1] (numeric) = 0.7535127565002612 absolute error = 2.060573933704291e-13 relative error = 2.734623821465474e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.657433286190369 y2[1] (numeric) = 0.6574332861906061 absolute error = 2.371436380599334e-13 relative error = 3.607113345813543e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.859999999999685 y1[1] (analytic) = 0.7528549465675023 y1[1] (numeric) = 0.7528549465672959 absolute error = 2.063904602778166e-13 relative error = 2.741437261172478e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6581864701046682 y2[1] (numeric) = 0.6581864701049053 absolute error = 2.370326157574709e-13 relative error = 3.601298819159512e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.860999999999685 y1[1] (analytic) = 0.7521963837796535 y1[1] (numeric) = 0.7521963837794469 absolute error = 2.066125048827416e-13 relative error = 2.746789393543086e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6589389958325522 y2[1] (numeric) = 0.6589389958327891 absolute error = 2.369215934550084e-13 relative error = 3.595501176184969e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.861999999999685 y1[1] (analytic) = 0.7515370687954837 y1[1] (numeric) = 0.7515370687952767 absolute error = 2.069455717901292e-13 relative error = 2.753630930298734e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6596908626214952 y2[1] (numeric) = 0.659690862621732 absolute error = 2.368105711525459e-13 relative error = 3.589720345852638e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.862999999999685 y1[1] (analytic) = 0.7508770022743076 y1[1] (numeric) = 0.7508770022741004 absolute error = 2.072786386975167e-13 relative error = 2.760487244511378e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6604420697196306 y2[1] (numeric) = 0.6604420697198673 absolute error = 2.366995488500834e-13 relative error = 3.583956257519551e-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 y1[1] (analytic) = 0.7502161848761919 y1[1] (numeric) = 0.7502161848759843 absolute error = 2.076117056049043e-13 relative error = 2.767358393356528e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6611926163757513 y2[1] (numeric) = 0.6611926163759879 absolute error = 2.365885265476209e-13 relative error = 3.578208840934321e-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 y1[1] (analytic) = 0.7495546172619538 y1[1] (numeric) = 0.7495546172617459 absolute error = 2.079447725122918e-13 relative error = 2.774244434273419e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6619425018393108 y2[1] (numeric) = 0.6619425018395473 absolute error = 2.364775042451583e-13 relative error = 3.572478026234433e-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 y1[1] (analytic) = 0.7488923000931609 y1[1] (numeric) = 0.7488923000929527 absolute error = 2.081668171172169e-13 relative error = 2.779662938066278e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6626917253604235 y2[1] (numeric) = 0.6626917253606599 absolute error = 2.363664819426958e-13 relative error = 3.566763743943555e-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 y1[1] (analytic) = 0.7482292340321303 y1[1] (numeric) = 0.7482292340319219 absolute error = 2.083888617221419e-13 relative error = 2.785093822105236e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6634402861898662 y2[1] (numeric) = 0.6634402861901024 absolute error = 2.362554596402333e-13 relative error = 3.561065924968878e-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 y1[1] (analytic) = 0.747565419741928 y1[1] (numeric) = 0.7475654197417193 absolute error = 2.087219286295294e-13 relative error = 2.792022251398195e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6641881835790779 y2[1] (numeric) = 0.6641881835793141 absolute error = 2.361444373377708e-13 relative error = 3.555384500598475e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.868999999999684 y1[1] (analytic) = 0.7469008578863684 y1[1] (numeric) = 0.7469008578861593 absolute error = 2.09054995536917e-13 relative error = 2.798965797529209e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6649354167801614 y2[1] (numeric) = 0.6649354167803975 absolute error = 2.360334150353083e-13 relative error = 3.549719402498676e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.869999999999684 y1[1] (analytic) = 0.746235549130013 y1[1] (numeric) = 0.7462355491298037 absolute error = 2.09277040141842e-13 relative error = 2.804436754397782e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6656819850458836 y2[1] (numeric) = 0.6656819850461195 absolute error = 2.359223927328458e-13 relative error = 3.544070562711477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.870999999999684 y1[1] (analytic) = 0.7455694941381708 y1[1] (numeric) = 0.7455694941379611 absolute error = 2.096101070492296e-13 relative error = 2.811409381650265e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6664278876296761 y2[1] (numeric) = 0.666427887629912 absolute error = 2.359223927328458e-13 relative error = 3.540103844873075e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.871999999999684 y1[1] (analytic) = 0.7449026935768964 y1[1] (numeric) = 0.7449026935766865 absolute error = 2.099431739566171e-13 relative error = 2.818397298961366e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6671731237856365 y2[1] (numeric) = 0.6671731237858723 absolute error = 2.358113704303832e-13 relative error = 3.534485458472241e-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 y1[1] (analytic) = 0.7442351481129906 y1[1] (numeric) = 0.7442351481127804 absolute error = 2.102762408640046e-13 relative error = 2.825400565898566e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6679176927685289 y2[1] (numeric) = 0.6679176927687644 absolute error = 2.355893258254582e-13 relative error = 3.527220919226394e-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 y1[1] (analytic) = 0.7435668584139987 y1[1] (numeric) = 0.7435668584137881 absolute error = 2.106093077713922e-13 relative error = 2.832419242307467e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.668661593833784 y2[1] (numeric) = 0.6686615938340195 absolute error = 2.354783035229957e-13 relative error = 3.521636440533041e-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 y1[1] (analytic) = 0.7428978251482103 y1[1] (numeric) = 0.7428978251479995 absolute error = 2.108313523763172e-13 relative error = 2.837958939161731e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6694048262375011 y2[1] (numeric) = 0.6694048262377363 absolute error = 2.352562589180707e-13 relative error = 3.514409363320053e-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 y1[1] (analytic) = 0.7422280489846588 y1[1] (numeric) = 0.7422280489844476 absolute error = 2.111644192837048e-13 relative error = 2.845007266601823e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6701473892364477 y2[1] (numeric) = 0.6701473892366828 absolute error = 2.351452366156082e-13 relative error = 3.508858504746662e-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 y1[1] (analytic) = 0.7415575305931201 y1[1] (numeric) = 0.7415575305929086 absolute error = 2.114974861910923e-13 relative error = 2.852071180801444e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6708892820880609 y2[1] (numeric) = 0.6708892820882959 absolute error = 2.350342143131456e-13 relative error = 3.503323433363407e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.877999999999683 y1[1] (analytic) = 0.7408862706441126 y1[1] (numeric) = 0.7408862706439008 absolute error = 2.118305530984799e-13 relative error = 2.859150742722204e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.671630504050448 y2[1] (numeric) = 0.6716305040506828 absolute error = 2.348121697082206e-13 relative error = 3.496151057644386e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.878999999999683 y1[1] (analytic) = 0.7402142698088962 y1[1] (numeric) = 0.7402142698086841 absolute error = 2.120525977034049e-13 relative error = 2.864746146519863e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6723710543823869 y2[1] (numeric) = 0.6723710543826217 absolute error = 2.348121697082206e-13 relative error = 3.492300392435984e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.879999999999683 y1[1] (analytic) = 0.7395415287594717 y1[1] (numeric) = 0.7395415287592593 absolute error = 2.123856646107924e-13 relative error = 2.871855823526967e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6731109323433275 y2[1] (numeric) = 0.6731109323435621 absolute error = 2.345901251032956e-13 relative error = 3.485162903038995e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.880999999999683 y1[1] (analytic) = 0.73886804816858 y1[1] (numeric) = 0.7388680481683673 absolute error = 2.1271873151818e-13 relative error = 2.878981328877902e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6738501371933918 y2[1] (numeric) = 0.6738501371936263 absolute error = 2.344791028008331e-13 relative error = 3.479692143084608e-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 y1[1] (analytic) = 0.7381938287097017 y1[1] (numeric) = 0.7381938287094887 absolute error = 2.130517984255675e-13 relative error = 2.886122724677385e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6745886681933752 y2[1] (numeric) = 0.6745886681936095 absolute error = 2.343680804983705e-13 relative error = 3.474236843112631e-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 y1[1] (analytic) = 0.7375188710570563 y1[1] (numeric) = 0.7375188710568429 absolute error = 2.133848653329551e-13 relative error = 2.893280073323671e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6753265246047465 y2[1] (numeric) = 0.6753265246049808 absolute error = 2.34257058195908e-13 relative error = 3.468796939865696e-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 y1[1] (analytic) = 0.7368431758856012 y1[1] (numeric) = 0.7368431758853875 absolute error = 2.137179322403426e-13 relative error = 2.900453437510338e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6760637056896495 y2[1] (numeric) = 0.6760637056898836 absolute error = 2.341460358934455e-13 relative error = 3.463372370427639e-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 y1[1] (analytic) = 0.7361667438710316 y1[1] (numeric) = 0.7361667438708177 absolute error = 2.139399768452677e-13 relative error = 2.906134766701002e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6768002107109031 y2[1] (numeric) = 0.6768002107111372 absolute error = 2.34035013590983e-13 relative error = 3.4579630722212e-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 y1[1] (analytic) = 0.7354895756897796 y1[1] (numeric) = 0.7354895756895653 absolute error = 2.142730437526552e-13 relative error = 2.91333896271336e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6775360389320025 y2[1] (numeric) = 0.6775360389322364 absolute error = 2.33812968986058e-13 relative error = 3.450930364599003e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.886999999999682 y1[1] (analytic) = 0.7348116720190131 y1[1] (numeric) = 0.7348116720187985 absolute error = 2.146061106600428e-13 relative error = 2.920559360065389e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6782711896171194 y2[1] (numeric) = 0.6782711896173531 absolute error = 2.337019466835955e-13 relative error = 3.445553198500426e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.887999999999682 y1[1] (analytic) = 0.7341330335366358 y1[1] (numeric) = 0.7341330335364209 absolute error = 2.149391775674303e-13 relative error = 2.927796022636054e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6790056620311031 y2[1] (numeric) = 0.6790056620313367 absolute error = 2.335909243811329e-13 relative error = 3.440191112433358e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.888999999999682 y1[1] (analytic) = 0.7334536609212863 y1[1] (numeric) = 0.733453660921071 absolute error = 2.152722444748179e-13 relative error = 2.935049014608718e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6797394554394814 y2[1] (numeric) = 0.6797394554397149 absolute error = 2.334799020786704e-13 relative error = 3.434844045174859e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.889999999999682 y1[1] (analytic) = 0.7327735548523369 y1[1] (numeric) = 0.7327735548521213 absolute error = 2.156053113822054e-13 relative error = 2.942318400473016e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.680472569108461 y2[1] (numeric) = 0.6804725691086944 absolute error = 2.333688797762079e-13 relative error = 3.42951193582957e-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 y1[1] (analytic) = 0.7320927160098937 y1[1] (numeric) = 0.7320927160096777 absolute error = 2.159383782895929e-13 relative error = 2.949604245026729e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6812050023049282 y2[1] (numeric) = 0.6812050023051613 absolute error = 2.331468351712829e-13 relative error = 3.42256493100324e-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 y1[1] (analytic) = 0.7314111450747954 y1[1] (numeric) = 0.7314111450745793 absolute error = 2.16160422894518e-13 relative error = 2.955388694171635e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6819367542964497 y2[1] (numeric) = 0.6819367542966828 absolute error = 2.330358128688204e-13 relative error = 3.417264304946316e-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 y1[1] (analytic) = 0.7307288427286132 y1[1] (numeric) = 0.7307288427283967 absolute error = 2.164934898019055e-13 relative error = 2.962706234415185e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6826678243512738 y2[1] (numeric) = 0.6826678243515067 absolute error = 2.329247905663578e-13 relative error = 3.411978450686494e-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 y1[1] (analytic) = 0.7300458096536491 y1[1] (numeric) = 0.7300458096534322 absolute error = 2.168265567092931e-13 relative error = 2.970040425437969e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6833982117383306 y2[1] (numeric) = 0.6833982117385633 absolute error = 2.327027459614328e-13 relative error = 3.40508274625883e-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 y1[1] (analytic) = 0.729362046532936 y1[1] (numeric) = 0.729362046532719 absolute error = 2.170486013142181e-13 relative error = 2.975869149566679e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6841279157272324 y2[1] (numeric) = 0.684127915727465 absolute error = 2.325917236589703e-13 relative error = 3.399827989941381e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.895999999999681 y1[1] (analytic) = 0.7286775540502374 y1[1] (numeric) = 0.72867755405002 absolute error = 2.173816682216057e-13 relative error = 2.983235410687821e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6848569355882755 y2[1] (numeric) = 0.684856935588508 absolute error = 2.324807013565078e-13 relative error = 3.394587822299156e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.896999999999681 y1[1] (analytic) = 0.7279923328900453 y1[1] (numeric) = 0.7279923328898277 absolute error = 2.176037128265307e-13 relative error = 2.989093469743962e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6855852705924402 y2[1] (numeric) = 0.6855852705926725 absolute error = 2.322586567515827e-13 relative error = 3.387742804784578e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.897999999999681 y1[1] (analytic) = 0.7273063837375811 y1[1] (numeric) = 0.7273063837373631 absolute error = 2.179367797339182e-13 relative error = 2.996492050763463e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6863129200113914 y2[1] (numeric) = 0.6863129200116236 absolute error = 2.321476344491202e-13 relative error = 3.382533355852707e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.898999999999681 y1[1] (analytic) = 0.7266197072787937 y1[1] (numeric) = 0.7266197072785754 absolute error = 2.182698466413058e-13 relative error = 3.00390760744339e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6870398831174798 y2[1] (numeric) = 0.6870398831177118 absolute error = 2.320366121466577e-13 relative error = 3.377338315408697e-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 y1[1] (analytic) = 0.7259323042003595 y1[1] (numeric) = 0.725932304200141 absolute error = 2.184918912462308e-13 relative error = 3.009810831974304e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6877661591837423 y2[1] (numeric) = 0.6877661591839742 absolute error = 2.319255898441952e-13 relative error = 3.372157625775746e-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 y1[1] (analytic) = 0.7252441751896817 y1[1] (numeric) = 0.7252441751894628 absolute error = 2.188249581536184e-13 relative error = 3.017259092034576e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.688491747483903 y2[1] (numeric) = 0.6884917474841347 absolute error = 2.317035452392702e-13 relative error = 3.365378685888859e-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 y1[1] (analytic) = 0.7245553209348891 y1[1] (numeric) = 0.7245553209346699 absolute error = 2.191580250610059e-13 relative error = 3.024724527289755e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6892166472923734 y2[1] (numeric) = 0.689216647292605 absolute error = 2.315925229368077e-13 relative error = 3.360228222092893e-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 y1[1] (analytic) = 0.7238657421248359 y1[1] (numeric) = 0.7238657421246164 absolute error = 2.194910919683934e-13 relative error = 3.032207206326676e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6899408578842541 y2[1] (numeric) = 0.6899408578844856 absolute error = 2.314815006343451e-13 relative error = 3.355091932723007e-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 y1[1] (analytic) = 0.723175439449101 y1[1] (numeric) = 0.7231754394488812 absolute error = 2.19824158875781e-13 relative error = 3.039707198065772e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6906643785353344 y2[1] (numeric) = 0.6906643785355657 absolute error = 2.313704783318826e-13 relative error = 3.34996976132664e-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 y1[1] (analytic) = 0.7224844135979869 y1[1] (numeric) = 0.7224844135977667 absolute error = 2.201572257831685e-13 relative error = 3.047224571763163e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6913872085220937 y2[1] (numeric) = 0.6913872085223249 absolute error = 2.312594560294201e-13 relative error = 3.344861651747352e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.90599999999968 y1[1] (analytic) = 0.7217926652625194 y1[1] (numeric) = 0.7217926652622989 absolute error = 2.204902926905561e-13 relative error = 3.054759397012752e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.692109347121702 y2[1] (numeric) = 0.6921093471219332 absolute error = 2.311484337269576e-13 relative error = 3.339767548122883e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.90699999999968 y1[1] (analytic) = 0.7211001951344467 y1[1] (numeric) = 0.721100195134226 absolute error = 2.207123372954811e-13 relative error = 3.060772119945552e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.692830793612021 y2[1] (numeric) = 0.692830793612252 absolute error = 2.309263891220326e-13 relative error = 3.333084950195635e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.90799999999968 y1[1] (analytic) = 0.720407003906239 y1[1] (numeric) = 0.720407003906018 absolute error = 2.210454042028687e-13 relative error = 3.068340576983587e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6935515472716041 y2[1] (numeric) = 0.6935515472718349 absolute error = 2.3081536681957e-13 relative error = 3.328020357356072e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.90899999999968 y1[1] (analytic) = 0.7197130922710875 y1[1] (numeric) = 0.7197130922708661 absolute error = 2.213784711102562e-13 relative error = 3.075926692005649e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6942716073796977 y2[1] (numeric) = 0.6942716073799283 absolute error = 2.30593322214645e-13 relative error = 3.321370480422561e-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 y1[1] (analytic) = 0.7190184609229037 y1[1] (numeric) = 0.719018460922682 absolute error = 2.217115380176438e-13 relative error = 3.083530535962367e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6949909732162417 y2[1] (numeric) = 0.6949909732164723 absolute error = 2.30593322214645e-13 relative error = 3.317932622167993e-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 y1[1] (analytic) = 0.7183231105563188 y1[1] (numeric) = 0.7183231105560968 absolute error = 2.220446049250313e-13 relative error = 3.091152180152811e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6957096440618705 y2[1] (numeric) = 0.6957096440621009 absolute error = 2.3037127760972e-13 relative error = 3.31131355697051e-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 y1[1] (analytic) = 0.7176270418666832 y1[1] (numeric) = 0.7176270418664609 absolute error = 2.223776718324189e-13 relative error = 3.098791696226672e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6964276191979132 y2[1] (numeric) = 0.6964276191981434 absolute error = 2.302602553072575e-13 relative error = 3.306305622577862e-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 y1[1] (analytic) = 0.7169302555500656 y1[1] (numeric) = 0.7169302555498429 absolute error = 2.227107387398064e-13 relative error = 3.106449156186488e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6971448979063948 y2[1] (numeric) = 0.6971448979066248 absolute error = 2.300382107023324e-13 relative error = 3.299718772857168e-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 y1[1] (analytic) = 0.7162327523032522 y1[1] (numeric) = 0.7162327523030292 absolute error = 2.230438056471939e-13 relative error = 3.114124632389855e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6978614794700364 y2[1] (numeric) = 0.6978614794702663 absolute error = 2.299271883998699e-13 relative error = 3.294739646247263e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.914999999999679 y1[1] (analytic) = 0.7155345328237462 y1[1] (numeric) = 0.7155345328235229 absolute error = 2.233768725545815e-13 relative error = 3.121818197551686e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6985773631722568 y2[1] (numeric) = 0.6985773631724865 absolute error = 2.297051437949449e-13 relative error = 3.288184758118245e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.915999999999679 y1[1] (analytic) = 0.714835597809767 y1[1] (numeric) = 0.7148355978095433 absolute error = 2.23709939461969e-13 relative error = 3.129529924746459e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.6992925482971722 y2[1] (numeric) = 0.6992925482974018 absolute error = 2.295941214924824e-13 relative error = 3.283234206507142e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.916999999999679 y1[1] (analytic) = 0.7141359479602496 y1[1] (numeric) = 0.7141359479600256 absolute error = 2.240430063693566e-13 relative error = 3.137259887410503e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7000070341295977 y2[1] (numeric) = 0.7000070341298271 absolute error = 2.293720768875573e-13 relative error = 3.276711028665062e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.917999999999679 y1[1] (analytic) = 0.7134355839748436 y1[1] (numeric) = 0.7134355839746194 absolute error = 2.242650509742816e-13 relative error = 3.143451994990334e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7007208199550473 y2[1] (numeric) = 0.7007208199552766 absolute error = 2.292610545850948e-13 relative error = 3.27178882168511e-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 y1[1] (analytic) = 0.7127345065539132 y1[1] (numeric) = 0.7127345065536886 absolute error = 2.245981178816692e-13 relative error = 3.151217119648184e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7014339050597354 y2[1] (numeric) = 0.7014339050599645 absolute error = 2.291500322826323e-13 relative error = 3.266879896019818e-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 y1[1] (analytic) = 0.7120327163985356 y1[1] (numeric) = 0.7120327163983108 absolute error = 2.248201624865942e-13 relative error = 3.157441467349078e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7021462887305768 y2[1] (numeric) = 0.7021462887308058 absolute error = 2.289279876777073e-13 relative error = 3.260403015041073e-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 y1[1] (analytic) = 0.7113302142105009 y1[1] (numeric) = 0.7113302142102759 absolute error = 2.250422070915192e-13 relative error = 3.163681263578711e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.702857970255188 y2[1] (numeric) = 0.7028579702554169 absolute error = 2.288169653752448e-13 relative error = 3.255522097759918e-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 y1[1] (analytic) = 0.7106270006923113 y1[1] (numeric) = 0.710627000692086 absolute error = 2.253752739989068e-13 relative error = 3.171498884496935e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7035689489218876 y2[1] (numeric) = 0.7035689489221163 absolute error = 2.287059430727822e-13 relative error = 3.250654302229218e-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 y1[1] (analytic) = 0.7099230765471803 y1[1] (numeric) = 0.7099230765469546 absolute error = 2.257083409062943e-13 relative error = 3.179335175355356e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7042792240196969 y2[1] (numeric) = 0.7042792240199254 absolute error = 2.284838984678572e-13 relative error = 3.244223181308371e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.923999999999678 y1[1] (analytic) = 0.7092184424790319 y1[1] (numeric) = 0.7092184424788058 absolute error = 2.260414078136819e-13 relative error = 3.187190212137847e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7049887948383408 y2[1] (numeric) = 0.7049887948385691 absolute error = 2.283728761653947e-13 relative error = 3.239383063070702e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.924999999999678 y1[1] (analytic) = 0.7085130991925001 y1[1] (numeric) = 0.7085130991922737 absolute error = 2.263744747210694e-13 relative error = 3.195064071208716e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7056976606682487 y2[1] (numeric) = 0.7056976606684768 absolute error = 2.281508315604697e-13 relative error = 3.232982681909786e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.925999999999678 y1[1] (analytic) = 0.7078070473929281 y1[1] (numeric) = 0.7078070473927014 absolute error = 2.26707541628457e-13 relative error = 3.202956829315148e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7064058208005546 y2[1] (numeric) = 0.7064058208007826 absolute error = 2.280398092580072e-13 relative error = 3.228170019884243e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.926999999999678 y1[1] (analytic) = 0.7071002877863677 y1[1] (numeric) = 0.7071002877861408 absolute error = 2.26929586233382e-13 relative error = 3.209298456712593e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7071132745270987 y2[1] (numeric) = 0.7071132745273265 absolute error = 2.278177646530821e-13 relative error = 3.221800139524201e-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 y1[1] (analytic) = 0.7063928210795785 y1[1] (numeric) = 0.7063928210793512 absolute error = 2.272626531407695e-13 relative error = 3.21722767218167e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7078200211404271 y2[1] (numeric) = 0.7078200211406548 absolute error = 2.277067423506196e-13 relative error = 3.217014714895215e-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 y1[1] (analytic) = 0.7056846479800269 y1[1] (numeric) = 0.7056846479797995 absolute error = 2.274846977456946e-13 relative error = 3.223602757929532e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7085260599337934 y2[1] (numeric) = 0.708526059934021 absolute error = 2.275957200481571e-13 relative error = 3.212242046106593e-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 y1[1] (analytic) = 0.7049757691958863 y1[1] (numeric) = 0.7049757691956585 absolute error = 2.278177646530821e-13 relative error = 3.231568723460339e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7092313902011588 y2[1] (numeric) = 0.7092313902013863 absolute error = 2.274846977456946e-13 relative error = 3.207482083966606e-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 y1[1] (analytic) = 0.7042661854360353 y1[1] (numeric) = 0.7042661854358071 absolute error = 2.281508315604697e-13 relative error = 3.23955396806697e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7099360112371931 y2[1] (numeric) = 0.7099360112374205 absolute error = 2.273736754432321e-13 relative error = 3.202734779533045e-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 y1[1] (analytic) = 0.7035558974100574 y1[1] (numeric) = 0.7035558974098289 absolute error = 2.284838984678572e-13 relative error = 3.24755857081088e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7106399223372754 y2[1] (numeric) = 0.7106399223375025 absolute error = 2.27151630838307e-13 relative error = 3.196437797797955e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.932999999999677 y1[1] (analytic) = 0.7028449058282408 y1[1] (numeric) = 0.7028449058280121 absolute error = 2.287059430727822e-13 relative error = 3.254002998047947e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7113431227974945 y2[1] (numeric) = 0.7113431227977215 absolute error = 2.270406085358445e-13 relative error = 3.191717207343812e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.933999999999677 y1[1] (analytic) = 0.7021332114015769 y1[1] (numeric) = 0.7021332114013479 absolute error = 2.290390099801698e-13 relative error = 3.262044954731156e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7120456119146501 y2[1] (numeric) = 0.7120456119148769 absolute error = 2.268185639309195e-13 relative error = 3.185449922526975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.934999999999677 y1[1] (analytic) = 0.7014208148417602 y1[1] (numeric) = 0.7014208148415308 absolute error = 2.293720768875573e-13 relative error = 3.270106504314439e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7127473889862531 y2[1] (numeric) = 0.7127473889864798 absolute error = 2.26707541628457e-13 relative error = 3.180755834839396e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.935999999999677 y1[1] (analytic) = 0.700707716861187 y1[1] (numeric) = 0.7007077168609575 absolute error = 2.295941214924824e-13 relative error = 3.276603296463565e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7134484533105265 y2[1] (numeric) = 0.7134484533107531 absolute error = 2.265965193259944e-13 relative error = 3.176074154685551e-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 y1[1] (analytic) = 0.6999939181729554 y1[1] (numeric) = 0.6999939181727255 absolute error = 2.299271883998699e-13 relative error = 3.284702658560231e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.714148804186406 y2[1] (numeric) = 0.7141488041866325 absolute error = 2.264854970235319e-13 relative error = 3.171404834620643e-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 y1[1] (analytic) = 0.699279419490864 y1[1] (numeric) = 0.6992794194906338 absolute error = 2.302602553072575e-13 relative error = 3.292821851884428e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7148484409135409 y2[1] (numeric) = 0.7148484409137672 absolute error = 2.262634524186069e-13 relative error = 3.165194738754041e-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 y1[1] (analytic) = 0.6985642215294113 y1[1] (numeric) = 0.6985642215291807 absolute error = 2.30593322214645e-13 relative error = 3.300960958318081e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7155473627922945 y2[1] (numeric) = 0.7155473627925206 absolute error = 2.261524301161444e-13 relative error = 3.160551514488508e-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 y1[1] (analytic) = 0.6978483250037953 y1[1] (numeric) = 0.6978483250035644 absolute error = 2.309263891220326e-13 relative error = 3.309120060161735e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7162455691237449 y2[1] (numeric) = 0.7162455691239709 absolute error = 2.259303855112194e-13 relative error = 3.154370445706529e-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 y1[1] (analytic) = 0.6971317306299125 y1[1] (numeric) = 0.6971317306296813 absolute error = 2.312594560294201e-13 relative error = 3.317299240137288e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7169430592096858 y2[1] (numeric) = 0.7169430592099116 absolute error = 2.258193632087568e-13 relative error = 3.149753112299969e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.941999999999676 y1[1] (analytic) = 0.6964144391243572 y1[1] (numeric) = 0.6964144391241256 absolute error = 2.315925229368077e-13 relative error = 3.325498581390739e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7176398323526273 y2[1] (numeric) = 0.717639832352853 absolute error = 2.257083409062943e-13 relative error = 3.145147896352941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.942999999999676 y1[1] (analytic) = 0.6956964512044207 y1[1] (numeric) = 0.6956964512041889 absolute error = 2.318145675417327e-13 relative error = 3.332122323470315e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7183358878557963 y2[1] (numeric) = 0.7183358878560218 absolute error = 2.254862963013693e-13 relative error = 3.139009203263348e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.943999999999676 y1[1] (analytic) = 0.6949777675880909 y1[1] (numeric) = 0.6949777675878589 absolute error = 2.320366121466577e-13 relative error = 3.338763093845966e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7190312250231372 y2[1] (numeric) = 0.7190312250233626 absolute error = 2.253752739989068e-13 relative error = 3.134429579072238e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.944999999999676 y1[1] (analytic) = 0.6942583889940517 y1[1] (numeric) = 0.6942583889938192 absolute error = 2.324807013565078e-13 relative error = 3.348619261099049e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7197258431593131 y2[1] (numeric) = 0.7197258431595382 absolute error = 2.251532293939817e-13 relative error = 3.128319366797331e-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 y1[1] (analytic) = 0.6935383161416812 y1[1] (numeric) = 0.6935383161414483 absolute error = 2.328137682638953e-13 relative error = 3.356898427171173e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7204197415697057 y2[1] (numeric) = 0.7204197415699307 absolute error = 2.250422070915192e-13 relative error = 3.123765134492012e-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 y1[1] (analytic) = 0.6928175497510523 y1[1] (numeric) = 0.6928175497508192 absolute error = 2.330358128688204e-13 relative error = 3.363595696335295e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7211129195604168 y2[1] (numeric) = 0.7211129195606417 absolute error = 2.249311847890567e-13 relative error = 3.119222783113809e-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 y1[1] (analytic) = 0.6920960905429314 y1[1] (numeric) = 0.6920960905426981 absolute error = 2.333688797762079e-13 relative error = 3.37191443449906e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7218053764382685 y2[1] (numeric) = 0.7218053764384932 absolute error = 2.247091401841317e-13 relative error = 3.113154148185396e-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 y1[1] (analytic) = 0.6913739392387777 y1[1] (numeric) = 0.6913739392385441 absolute error = 2.335909243811329e-13 relative error = 3.378648096547046e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7224971115108039 y2[1] (numeric) = 0.7224971115110284 absolute error = 2.244870955792067e-13 relative error = 3.107100249989716e-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 y1[1] (analytic) = 0.6906510965607423 y1[1] (numeric) = 0.6906510965605084 absolute error = 2.339239912885205e-13 relative error = 3.387006731088959e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.723188124086288 y2[1] (numeric) = 0.7231881240865122 absolute error = 2.242650509742816e-13 relative error = 3.101061031078591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.950999999999675 y1[1] (analytic) = 0.6899275632316679 y1[1] (numeric) = 0.6899275632314337 absolute error = 2.34257058195908e-13 relative error = 3.395386279374489e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7238784134737082 y2[1] (numeric) = 0.7238784134739323 absolute error = 2.241540286718191e-13 relative error = 3.09657014906911e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.951999999999675 y1[1] (analytic) = 0.6892033399750879 y1[1] (numeric) = 0.6892033399748533 absolute error = 2.345901251032956e-13 relative error = 3.403786828888194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7245679789827753 y2[1] (numeric) = 0.7245679789829993 absolute error = 2.240430063693566e-13 relative error = 3.092090913041613e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.952999999999675 y1[1] (analytic) = 0.6884784275152253 y1[1] (numeric) = 0.6884784275149903 absolute error = 2.349231920106831e-13 relative error = 3.412208467570147e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7252568199239238 y2[1] (numeric) = 0.7252568199241476 absolute error = 2.238209617644316e-13 relative error = 3.086092479460026e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.953999999999675 y1[1] (analytic) = 0.6877528265769924 y1[1] (numeric) = 0.6877528265767573 absolute error = 2.351452366156082e-13 relative error = 3.419037007611399e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7259449356083127 y2[1] (numeric) = 0.7259449356085365 absolute error = 2.23709939461969e-13 relative error = 3.081637855555933e-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 y1[1] (analytic) = 0.6870265378859903 y1[1] (numeric) = 0.687026537885755 absolute error = 2.353672812205332e-13 relative error = 3.425883401022153e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7266323253478266 y2[1] (numeric) = 0.7266323253480502 absolute error = 2.235989171595065e-13 relative error = 3.077194742918621e-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 y1[1] (analytic) = 0.6862995621685077 y1[1] (numeric) = 0.6862995621682719 absolute error = 2.358113704303832e-13 relative error = 3.435983110426118e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7273189884550758 y2[1] (numeric) = 0.7273189884552992 absolute error = 2.233768725545815e-13 relative error = 3.071236638947984e-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 y1[1] (analytic) = 0.68557190015152 y1[1] (numeric) = 0.685571900151284 absolute error = 2.360334150353083e-13 relative error = 3.442868865878866e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.728004924243397 y2[1] (numeric) = 0.7280049242436203 absolute error = 2.23265850252119e-13 relative error = 3.06681785819176e-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 y1[1] (analytic) = 0.6848435525626894 y1[1] (numeric) = 0.684843552562453 absolute error = 2.363664819426958e-13 relative error = 3.451393841092769e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7286901320268547 y2[1] (numeric) = 0.7286901320270778 absolute error = 2.230438056471939e-13 relative error = 3.060886868699548e-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 y1[1] (analytic) = 0.6841145201303632 y1[1] (numeric) = 0.6841145201301265 absolute error = 2.366995488500834e-13 relative error = 3.459940432268248e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.729374611120241 y2[1] (numeric) = 0.729374611120464 absolute error = 2.229327833447314e-13 relative error = 3.056492232466532e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.959999999999674 y1[1] (analytic) = 0.6833848035835739 y1[1] (numeric) = 0.683384803583337 absolute error = 2.369215934550084e-13 relative error = 3.466884136325901e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7300583608390772 y2[1] (numeric) = 0.7300583608392999 absolute error = 2.227107387398064e-13 relative error = 3.05058815412837e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.960999999999674 y1[1] (analytic) = 0.682654403652038 y1[1] (numeric) = 0.6826544036518007 absolute error = 2.37254660362396e-13 relative error = 3.475472495206069e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7307413804996131 y2[1] (numeric) = 0.7307413804998357 absolute error = 2.225997164373439e-13 relative error = 3.046217476902031e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.961999999999674 y1[1] (analytic) = 0.6819233210661553 y1[1] (numeric) = 0.6819233210659178 absolute error = 2.37476704967321e-13 relative error = 3.482454663612871e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7314236694188296 y2[1] (numeric) = 0.731423669419052 absolute error = 2.223776718324189e-13 relative error = 3.040340108341236e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.962999999999674 y1[1] (analytic) = 0.6811915565570084 y1[1] (numeric) = 0.6811915565567705 absolute error = 2.378097718747085e-13 relative error = 3.491085137295099e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7321052269144376 y2[1] (numeric) = 0.7321052269146598 absolute error = 2.222666495299563e-13 relative error = 3.035993206423768e-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 y1[1] (analytic) = 0.6804591108563617 y1[1] (numeric) = 0.6804591108561235 absolute error = 2.381428387820961e-13 relative error = 3.499737676851618e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7327860523048796 y2[1] (numeric) = 0.7327860523051017 absolute error = 2.221556272274938e-13 relative error = 3.031657419361808e-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 y1[1] (analytic) = 0.6797259846966608 y1[1] (numeric) = 0.6797259846964223 absolute error = 2.384759056894836e-13 relative error = 3.508412375847416e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7334661449093305 y2[1] (numeric) = 0.7334661449095524 absolute error = 2.219335826225688e-13 relative error = 3.025819039677745e-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 y1[1] (analytic) = 0.6789921788110318 y1[1] (numeric) = 0.6789921788107931 absolute error = 2.386979502944087e-13 relative error = 3.515474224053469e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7341455040476975 y2[1] (numeric) = 0.7341455040479193 absolute error = 2.218225603201063e-13 relative error = 3.02150675986016e-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 y1[1] (analytic) = 0.6782576939332807 y1[1] (numeric) = 0.6782576939330417 absolute error = 2.390310172017962e-13 relative error = 3.524191753957594e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7348241290406217 y2[1] (numeric) = 0.7348241290408434 absolute error = 2.217115380176438e-13 relative error = 3.017205468022776e-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 y1[1] (analytic) = 0.6775225307978922 y1[1] (numeric) = 0.6775225307976528 absolute error = 2.393640841091838e-13 relative error = 3.532931721507385e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.735502019209478 y2[1] (numeric) = 0.7355020192096996 absolute error = 2.216005157151812e-13 relative error = 3.01291512365063e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.968999999999673 y1[1] (analytic) = 0.6767866901400292 y1[1] (numeric) = 0.6767866901397895 absolute error = 2.396971510165713e-13 relative error = 3.541694222251582e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7361791738763764 y2[1] (numeric) = 0.7361791738765979 absolute error = 2.214894934127187e-13 relative error = 3.008635686424791e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.969999999999673 y1[1] (analytic) = 0.6760501726955326 y1[1] (numeric) = 0.6760501726952926 absolute error = 2.400302179239588e-13 relative error = 3.5504793522486e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7368555923641623 y2[1] (numeric) = 0.7368555923643837 absolute error = 2.213784711102562e-13 relative error = 3.004367116221173e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.970999999999673 y1[1] (analytic) = 0.6753129792009196 y1[1] (numeric) = 0.6753129792006792 absolute error = 2.403632848313464e-13 relative error = 3.559287208069983e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7375312739964173 y2[1] (numeric) = 0.7375312739966385 absolute error = 2.212674488077937e-13 relative error = 3.000109373109357e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.971999999999673 y1[1] (analytic) = 0.6745751103933837 y1[1] (numeric) = 0.674575110393143 absolute error = 2.406963517387339e-13 relative error = 3.568117886803888e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7382062180974597 y2[1] (numeric) = 0.7382062180976808 absolute error = 2.211564265053312e-13 relative error = 2.995862417351429e-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 y1[1] (analytic) = 0.6738365670107935 y1[1] (numeric) = 0.6738365670105526 absolute error = 2.40918396343659e-13 relative error = 3.575323871371319e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7388804239923455 y2[1] (numeric) = 0.7388804239925665 absolute error = 2.209343819004062e-13 relative error = 2.990123634710005e-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 y1[1] (analytic) = 0.6730973497916926 y1[1] (numeric) = 0.6730973497914513 absolute error = 2.412514632510465e-13 relative error = 3.584198679815157e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.739553891006869 y2[1] (numeric) = 0.7395538910070898 absolute error = 2.208233595979436e-13 relative error = 2.985899503514243e-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 y1[1] (analytic) = 0.6723574594752979 y1[1] (numeric) = 0.6723574594750563 absolute error = 2.415845301584341e-13 relative error = 3.593096599939036e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.740226618467563 y2[1] (numeric) = 0.7402266184677837 absolute error = 2.207123372954811e-13 relative error = 2.981686037613801e-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 y1[1] (analytic) = 0.6716168968014998 y1[1] (numeric) = 0.6716168968012579 absolute error = 2.419175970658216e-13 relative error = 3.602017730910688e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7408986057017003 y2[1] (numeric) = 0.7408986057019208 absolute error = 2.204902926905561e-13 relative error = 2.975984716312581e-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 y1[1] (analytic) = 0.6708756625108608 y1[1] (numeric) = 0.6708756625106187 absolute error = 2.421396416707466e-13 relative error = 3.609307286010344e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7415698520372936 y2[1] (numeric) = 0.7415698520375139 absolute error = 2.202682480856311e-13 relative error = 2.970296695321343e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.977999999999672 y1[1] (analytic) = 0.6701337573446153 y1[1] (numeric) = 0.6701337573443729 absolute error = 2.424727085781342e-13 relative error = 3.618273306196735e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7422403568030966 y2[1] (numeric) = 0.7422403568033168 absolute error = 2.201572257831685e-13 relative error = 2.966117697121829e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.978999999999672 y1[1] (analytic) = 0.6693911820446683 y1[1] (numeric) = 0.6693911820444255 absolute error = 2.428057754855217e-13 relative error = 3.627262832233117e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7429101193286047 y2[1] (numeric) = 0.7429101193288248 absolute error = 2.20046203480706e-13 relative error = 2.961949201601533e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.979999999999672 y1[1] (analytic) = 0.668647937353595 y1[1] (numeric) = 0.6686479373533519 absolute error = 2.430278200904468e-13 relative error = 3.634615565439613e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7435791389440555 y2[1] (numeric) = 0.7435791389442753 absolute error = 2.19824158875781e-13 relative error = 2.956298090717683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.980999999999672 y1[1] (analytic) = 0.66790402401464 y1[1] (numeric) = 0.6679040240143966 absolute error = 2.433608869978343e-13 relative error = 3.643650558279913e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7442474149804291 y2[1] (numeric) = 0.7442474149806488 absolute error = 2.197131365733185e-13 relative error = 2.952151826810122e-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 y1[1] (analytic) = 0.6671594427717167 y1[1] (numeric) = 0.667159442771473 absolute error = 2.436939539052219e-13 relative error = 3.652709356743784e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7449149467694499 y2[1] (numeric) = 0.7449149467696694 absolute error = 2.194910919683934e-13 relative error = 2.94652554523551e-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 y1[1] (analytic) = 0.6664141943694063 y1[1] (numeric) = 0.6664141943691622 absolute error = 2.441380431150719e-13 relative error = 3.663458029222911e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.745581733643586 y2[1] (numeric) = 0.7455817336438053 absolute error = 2.192690473634684e-13 relative error = 2.940912276537701e-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 y1[1] (analytic) = 0.6656682795529569 y1[1] (numeric) = 0.6656682795527126 absolute error = 2.44360087719997e-13 relative error = 3.670898782860766e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7462477749360505 y2[1] (numeric) = 0.7462477749362697 absolute error = 2.191580250610059e-13 relative error = 2.936799712130285e-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 y1[1] (analytic) = 0.6649216990682836 y1[1] (numeric) = 0.6649216990680389 absolute error = 2.446931546273845e-13 relative error = 3.680029618077721e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7469130699808023 y2[1] (numeric) = 0.7469130699810214 absolute error = 2.190470027585434e-13 relative error = 2.932697412353134e-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 y1[1] (analytic) = 0.6641744536619665 y1[1] (numeric) = 0.6641744536617216 absolute error = 2.449151992323095e-13 relative error = 3.68751309060375e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7475776181125464 y2[1] (numeric) = 0.7475776181127652 absolute error = 2.188249581536184e-13 relative error = 2.927120246137099e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.986999999999671 y1[1] (analytic) = 0.6634265440812511 y1[1] (numeric) = 0.6634265440810059 absolute error = 2.452482661396971e-13 relative error = 3.696690588094121e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7482414186667347 y2[1] (numeric) = 0.7482414186669534 absolute error = 2.187139358511558e-13 relative error = 2.923039682043726e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.987999999999671 y1[1] (analytic) = 0.662677971074047 y1[1] (numeric) = 0.6626779710738014 absolute error = 2.455813330470846e-13 relative error = 3.705892511396664e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7489044709795666 y2[1] (numeric) = 0.7489044709797852 absolute error = 2.186029135486933e-13 relative error = 2.918969268039765e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.988999999999671 y1[1] (analytic) = 0.661928735388927 y1[1] (numeric) = 0.6619287353886811 absolute error = 2.459143999544722e-13 relative error = 3.715118966847408e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7495667743879899 y2[1] (numeric) = 0.7495667743882084 absolute error = 2.184918912462308e-13 relative error = 2.914908967578321e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.989999999999671 y1[1] (analytic) = 0.6611788377751268 y1[1] (numeric) = 0.6611788377748806 absolute error = 2.461364445593972e-13 relative error = 3.72269090444045e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7502283282297014 y2[1] (numeric) = 0.7502283282299197 absolute error = 2.182698466413058e-13 relative error = 2.909378897439833e-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 y1[1] (analytic) = 0.6604282789825439 y1[1] (numeric) = 0.6604282789822974 absolute error = 2.464695114667848e-13 relative error = 3.7319648372189e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7508891318431471 y2[1] (numeric) = 0.7508891318433653 absolute error = 2.181588243388433e-13 relative error = 2.905340017418368e-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 y1[1] (analytic) = 0.6596770597617371 y1[1] (numeric) = 0.6596770597614903 absolute error = 2.468025783741723e-13 relative error = 3.741263618645656e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7515491845675236 y2[1] (numeric) = 0.7515491845677416 absolute error = 2.179367797339182e-13 relative error = 2.899833892565916e-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 y1[1] (analytic) = 0.6589251808639254 y1[1] (numeric) = 0.6589251808636784 absolute error = 2.470246229790973e-13 relative error = 3.748902457411328e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7522084857427781 y2[1] (numeric) = 0.7522084857429959 absolute error = 2.178257574314557e-13 relative error = 2.895816273813513e-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 y1[1] (analytic) = 0.6581726430409878 y1[1] (numeric) = 0.6581726430407404 absolute error = 2.473576898864849e-13 relative error = 3.758249336277574e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7528670347096096 y2[1] (numeric) = 0.7528670347098272 absolute error = 2.176037128265307e-13 relative error = 2.890333920789389e-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 y1[1] (analytic) = 0.657419447045462 y1[1] (numeric) = 0.6574194470452143 absolute error = 2.476907567938724e-13 relative error = 3.767621385510126e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7535248308094691 y2[1] (numeric) = 0.7535248308096865 absolute error = 2.173816682216057e-13 relative error = 2.884864032789534e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.99599999999967 y1[1] (analytic) = 0.6566655936305439 y1[1] (numeric) = 0.6566655936302959 absolute error = 2.4802382370126e-13 relative error = 3.777018715568708e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7541818733845606 y2[1] (numeric) = 0.7541818733847778 absolute error = 2.172706459191431e-13 relative error = 2.880878652573448e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.99699999999967 y1[1] (analytic) = 0.655911083550087 y1[1] (numeric) = 0.6559110835498386 absolute error = 2.483568906086475e-13 relative error = 3.786441437525768e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7548381617778415 y2[1] (numeric) = 0.7548381617780586 absolute error = 2.171596236166806e-13 relative error = 2.876903084830964e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.99799999999967 y1[1] (analytic) = 0.6551559175586011 y1[1] (numeric) = 0.6551559175583525 absolute error = 2.486899575160351e-13 relative error = 3.795889663070787e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7554936953330236 y2[1] (numeric) = 0.7554936953332405 absolute error = 2.169375790117556e-13 relative error = 2.87146776143683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 3.99899999999967 y1[1] (analytic) = 0.6544000964112523 y1[1] (numeric) = 0.6544000964110034 absolute error = 2.489120021209601e-13 relative error = 3.803666953687816e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7561484733945733 y2[1] (numeric) = 0.7561484733947901 absolute error = 2.168265567092931e-13 relative error = 2.867512986383412e-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 y1[1] (analytic) = 0.6536436208638616 y1[1] (numeric) = 0.6536436208636124 absolute error = 2.492450690283476e-13 relative error = 3.813164560513005e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7568024953077126 y2[1] (numeric) = 0.7568024953079292 absolute error = 2.16604512104368e-13 relative error = 2.862100923918037e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.00099999999967 y1[1] (analytic) = 0.6528864916729046 y1[1] (numeric) = 0.652886491672655 absolute error = 2.495781359357352e-13 relative error = 3.822688003487957e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7574557604184197 y2[1] (numeric) = 0.757455760418636 absolute error = 2.16382467499443e-13 relative error = 2.856701061721585e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.00199999999967 y1[1] (analytic) = 0.6521287095955098 y1[1] (numeric) = 0.6521287095952604 absolute error = 2.494671136332727e-13 relative error = 3.825427556900653e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7581082680734297 y2[1] (numeric) = 0.7581082680736456 absolute error = 2.159383782895929e-13 relative error = 2.848384424540762e-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 y1[1] (analytic) = 0.6513702753894599 y1[1] (numeric) = 0.6513702753892104 absolute error = 2.494671136332727e-13 relative error = 3.829881759405035e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7587600176202349 y2[1] (numeric) = 0.7587600176204503 absolute error = 2.153832667772804e-13 relative error = 2.838621721961651e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.003999999999671 y1[1] (analytic) = 0.6506111898131889 y1[1] (numeric) = 0.6506111898129394 absolute error = 2.494671136332727e-13 relative error = 3.834350185475639e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7594110084070856 y2[1] (numeric) = 0.7594110084073006 absolute error = 2.149391775674303e-13 relative error = 2.830340555877368e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.004999999999671 y1[1] (analytic) = 0.6498514536257822 y1[1] (numeric) = 0.6498514536255328 absolute error = 2.494671136332727e-13 relative error = 3.838832893908223e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7600612397829913 y2[1] (numeric) = 0.7600612397832057 absolute error = 2.143840660551177e-13 relative error = 2.820615692971366e-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 y1[1] (analytic) = 0.6490910675869761 y1[1] (numeric) = 0.6490910675867266 absolute error = 2.494671136332727e-13 relative error = 3.843329943834806e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7607107110977205 y2[1] (numeric) = 0.7607107110979344 absolute error = 2.139399768452677e-13 relative error = 2.812369718530032e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.006999999999672 y1[1] (analytic) = 0.6483300324571565 y1[1] (numeric) = 0.648330032456907 absolute error = 2.494671136332727e-13 relative error = 3.847841394726045e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.761359421701802 y2[1] (numeric) = 0.7613594217020154 absolute error = 2.133848653329551e-13 relative error = 2.802682402694828e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.007999999999672 y1[1] (analytic) = 0.6475683489973585 y1[1] (numeric) = 0.647568348997109 absolute error = 2.494671136332727e-13 relative error = 3.852367306393634e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7620073709465253 y2[1] (numeric) = 0.7620073709467382 absolute error = 2.12940776123105e-13 relative error = 2.794471342955663e-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 y1[1] (analytic) = 0.6468060179692654 y1[1] (numeric) = 0.646806017969016 absolute error = 2.493560913308102e-13 relative error = 3.855191269148936e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.762654558183941 y2[1] (numeric) = 0.7626545581841535 absolute error = 2.12496686913255e-13 relative error = 2.786277019300315e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.009999999999673 y1[1] (analytic) = 0.6460430401352083 y1[1] (numeric) = 0.6460430401349589 absolute error = 2.493560913308102e-13 relative error = 3.859744256027016e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7633009827668622 y2[1] (numeric) = 0.7633009827670743 absolute error = 2.120525977034049e-13 relative error = 2.778099366972424e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.010999999999673 y1[1] (analytic) = 0.6452794162581648 y1[1] (numeric) = 0.6452794162579155 absolute error = 2.492450690283476e-13 relative error = 3.862591348003407e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7639466440488643 y2[1] (numeric) = 0.7639466440490758 absolute error = 2.114974861910923e-13 relative error = 2.768485048512947e-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 y1[1] (analytic) = 0.6445151471017588 y1[1] (numeric) = 0.6445151471015096 absolute error = 2.492450690283476e-13 relative error = 3.867171627372099e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7645915413842859 y2[1] (numeric) = 0.7645915413844969 absolute error = 2.110533969812423e-13 relative error = 2.760341771491901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.012999999999674 y1[1] (analytic) = 0.6437502334302596 y1[1] (numeric) = 0.6437502334300104 absolute error = 2.492450690283476e-13 relative error = 3.871766658634532e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7652356741282298 y2[1] (numeric) = 0.7652356741284404 absolute error = 2.106093077713922e-13 relative error = 2.75221496973886e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.013999999999674 y1[1] (analytic) = 0.6429846760085804 y1[1] (numeric) = 0.6429846760083313 absolute error = 2.491340467258851e-13 relative error = 3.87464983259664e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7658790416365634 y2[1] (numeric) = 0.7658790416367736 absolute error = 2.101652185615421e-13 relative error = 2.744104579653362e-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 y1[1] (analytic) = 0.642218475602279 y1[1] (numeric) = 0.6422184756020298 absolute error = 2.491340467258851e-13 relative error = 3.879272493558282e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7665216432659192 y2[1] (numeric) = 0.7665216432661289 absolute error = 2.097211293516921e-13 relative error = 2.736010537916883e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.015999999999675 y1[1] (analytic) = 0.6414516329775553 y1[1] (numeric) = 0.6414516329773062 absolute error = 2.490230244234226e-13 relative error = 3.882179288678123e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7671634783736956 y2[1] (numeric) = 0.7671634783739049 absolute error = 2.09277040141842e-13 relative error = 2.727932781491201e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.016999999999675 y1[1] (analytic) = 0.6406841489012521 y1[1] (numeric) = 0.6406841489010031 absolute error = 2.490230244234226e-13 relative error = 3.886829802961213e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7678045463180575 y2[1] (numeric) = 0.7678045463182663 absolute error = 2.088329509319919e-13 relative error = 2.719871247616765e-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 y1[1] (analytic) = 0.6399160241408535 y1[1] (numeric) = 0.6399160241406046 absolute error = 2.489120021209601e-13 relative error = 3.889760417472707e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7684448464579371 y2[1] (numeric) = 0.7684448464581455 absolute error = 2.083888617221419e-13 relative error = 2.711825873811083e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.018999999999676 y1[1] (analytic) = 0.639147259464484 y1[1] (numeric) = 0.6391472594642351 absolute error = 2.489120021209601e-13 relative error = 3.894439011277519e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7690843781530343 y2[1] (numeric) = 0.7690843781532423 absolute error = 2.079447725122918e-13 relative error = 2.703796597867113e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.019999999999676 y1[1] (analytic) = 0.6383778556409084 y1[1] (numeric) = 0.6383778556406595 absolute error = 2.489120021209601e-13 relative error = 3.899132777264985e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7697231407638174 y2[1] (numeric) = 0.7697231407640249 absolute error = 2.075006833024418e-13 relative error = 2.69578335785167e-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 y1[1] (analytic) = 0.6376078134395302 y1[1] (numeric) = 0.6376078134392814 absolute error = 2.488009798184976e-13 relative error = 3.902100547927076e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7703611336515239 y2[1] (numeric) = 0.770361133651731 absolute error = 2.070565940925917e-13 relative error = 2.687786092103845e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.021999999999677 y1[1] (analytic) = 0.6368371336303918 y1[1] (numeric) = 0.636837133630143 absolute error = 2.488009798184976e-13 relative error = 3.906822744461647e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.770998356178161 y2[1] (numeric) = 0.7709983561783675 absolute error = 2.065014825802791e-13 relative error = 2.67836475818064e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.022999999999677 y1[1] (analytic) = 0.6360658169841729 y1[1] (numeric) = 0.6360658169839242 absolute error = 2.486899575160351e-13 relative error = 3.909814847387455e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7716348077065062 y2[1] (numeric) = 0.7716348077067122 absolute error = 2.060573933704291e-13 relative error = 2.67040044477625e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.023999999999678 y1[1] (analytic) = 0.6352938642721899 y1[1] (numeric) = 0.6352938642719412 absolute error = 2.486899575160351e-13 relative error = 3.914565707335157e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7722704876001079 y2[1] (numeric) = 0.7722704876003135 absolute error = 2.05613304160579e-13 relative error = 2.662451918880634e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.024999999999678 y1[1] (analytic) = 0.6345212762663957 y1[1] (numeric) = 0.634521276266147 absolute error = 2.486899575160351e-13 relative error = 3.919332051075711e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7729053952232864 y2[1] (numeric) = 0.7729053952234914 absolute error = 2.050581926482664e-13 relative error = 2.653082691821897e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.025999999999678 y1[1] (analytic) = 0.6337480537393779 y1[1] (numeric) = 0.6337480537391293 absolute error = 2.485789352135725e-13 relative error = 3.922362108204564e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.773539529941134 y2[1] (numeric) = 0.7735395299413387 absolute error = 2.047251257408789e-13 relative error = 2.646601987573387e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.026999999999679 y1[1] (analytic) = 0.6329741974643593 y1[1] (numeric) = 0.6329741974641108 absolute error = 2.485789352135725e-13 relative error = 3.927157476708507e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7741728911195161 y2[1] (numeric) = 0.7741728911197204 absolute error = 2.042810365310288e-13 relative error = 2.638700461800232e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.027999999999679 y1[1] (analytic) = 0.632199708215196 y1[1] (numeric) = 0.6321997082149475 absolute error = 2.4846791291111e-13 relative error = 3.930212394633587e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7748054781250717 y2[1] (numeric) = 0.7748054781252756 absolute error = 2.038369473211787e-13 relative error = 2.63081448280977e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.028999999999679 y1[1] (analytic) = 0.6314245867663771 y1[1] (numeric) = 0.6314245867661288 absolute error = 2.483568906086475e-13 relative error = 3.933278744822426e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7754372903252138 y2[1] (numeric) = 0.7754372903254171 absolute error = 2.032818358088662e-13 relative error = 2.621512253087687e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.02999999999968 y1[1] (analytic) = 0.6306488338930242 y1[1] (numeric) = 0.6306488338927758 absolute error = 2.483568906086475e-13 relative error = 3.93811701950718e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7760683270881301 y2[1] (numeric) = 0.776068327088333 absolute error = 2.028377465990161e-13 relative error = 2.61365835351224e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.03099999999968 y1[1] (analytic) = 0.6298724503708898 y1[1] (numeric) = 0.6298724503706415 absolute error = 2.48245868306185e-13 relative error = 3.941208544047443e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.776698587782784 y2[1] (numeric) = 0.7766985877829864 absolute error = 2.02393657389166e-13 relative error = 2.605819819589638e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.03199999999968 y1[1] (analytic) = 0.6290954369763576 y1[1] (numeric) = 0.6290954369761094 absolute error = 2.48245868306185e-13 relative error = 3.946076441109435e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7773280717789148 y2[1] (numeric) = 0.7773280717791168 absolute error = 2.01949568179316e-13 relative error = 2.597996592573255e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.032999999999681 y1[1] (analytic) = 0.6283177944864408 y1[1] (numeric) = 0.6283177944861926 absolute error = 2.481348460037225e-13 relative error = 3.949193356946654e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7779567784470386 y2[1] (numeric) = 0.7779567784472402 absolute error = 2.016165012719284e-13 relative error = 2.591615715135182e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.033999999999681 y1[1] (analytic) = 0.6275395236787819 y1[1] (numeric) = 0.6275395236785338 absolute error = 2.4802382370126e-13 relative error = 3.952321954915078e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7785847071584489 y2[1] (numeric) = 0.7785847071586499 absolute error = 2.010613897596158e-13 relative error = 2.582395825541152e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.034999999999681 y1[1] (analytic) = 0.6267606253316516 y1[1] (numeric) = 0.6267606253314036 absolute error = 2.479128013987975e-13 relative error = 3.955462283030526e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7792118572852168 y2[1] (numeric) = 0.7792118572854174 absolute error = 2.006173005497658e-13 relative error = 2.57461816929633e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.035999999999682 y1[1] (analytic) = 0.6259811002239483 y1[1] (numeric) = 0.6259811002237003 absolute error = 2.479128013987975e-13 relative error = 3.9603879623539e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7798382282001923 y2[1] (numeric) = 0.7798382282003925 absolute error = 2.001732113399157e-13 relative error = 2.566855587496658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.036999999999682 y1[1] (analytic) = 0.6252009491351967 y1[1] (numeric) = 0.6252009491349489 absolute error = 2.478017790963349e-13 relative error = 3.96355410910851e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7804638192770047 y2[1] (numeric) = 0.7804638192772044 absolute error = 1.997291221300657e-13 relative error = 2.559108022651043e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.037999999999682 y1[1] (analytic) = 0.6244201728455483 y1[1] (numeric) = 0.6244201728453005 absolute error = 2.478017790963349e-13 relative error = 3.968510145453441e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7810886298900629 y2[1] (numeric) = 0.7810886298902621 absolute error = 1.991740106177531e-13 relative error = 2.549954038452545e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.038999999999683 y1[1] (analytic) = 0.623638772135779 y1[1] (numeric) = 0.6236387721355312 absolute error = 2.478017790963349e-13 relative error = 3.973482569848678e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7817126594145563 y2[1] (numeric) = 0.781712659414755 absolute error = 1.98729921407903e-13 relative error = 2.542237470693346e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.039999999999683 y1[1] (analytic) = 0.6228567477872895 y1[1] (numeric) = 0.6228567477870418 absolute error = 2.476907567938724e-13 relative error = 3.976688984646928e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7823359072264553 y2[1] (numeric) = 0.7823359072266536 absolute error = 1.98285832198053e-13 relative error = 2.534535745662215e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.040999999999683 y1[1] (analytic) = 0.6220741005821042 y1[1] (numeric) = 0.6220741005818565 absolute error = 2.476907567938724e-13 relative error = 3.98169215792936e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7829583727025123 y2[1] (numeric) = 0.7829583727027102 absolute error = 1.978417429882029e-13 relative error = 2.526848806856984e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.041999999999684 y1[1] (analytic) = 0.6212908313028701 y1[1] (numeric) = 0.6212908313026225 absolute error = 2.475797344914099e-13 relative error = 3.984924966174472e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7835800552202619 y2[1] (numeric) = 0.7835800552204593 absolute error = 1.973976537783528e-13 relative error = 2.519176598016714e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.042999999999684 y1[1] (analytic) = 0.6205069407328565 y1[1] (numeric) = 0.6205069407326089 absolute error = 2.475797344914099e-13 relative error = 3.989959148547205e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7842009541580215 y2[1] (numeric) = 0.7842009541582184 absolute error = 1.969535645685028e-13 relative error = 2.511519063120336e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.043999999999684 y1[1] (analytic) = 0.6197224296559538 y1[1] (numeric) = 0.6197224296557063 absolute error = 2.474687121889474e-13 relative error = 3.993218582169642e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7848210688948923 y2[1] (numeric) = 0.7848210688950888 absolute error = 1.965094753586527e-13 relative error = 2.50387614638529e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.044999999999685 y1[1] (analytic) = 0.6189372988566731 y1[1] (numeric) = 0.6189372988564258 absolute error = 2.473576898864849e-13 relative error = 3.996490280088376e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7854403988107597 y2[1] (numeric) = 0.7854403988109557 absolute error = 1.960653861488026e-13 relative error = 2.496247792266179e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.045999999999685 y1[1] (analytic) = 0.6181515491201452 y1[1] (numeric) = 0.6181515491198979 absolute error = 2.473576898864849e-13 relative error = 4.001570330747613e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7860589432862937 y2[1] (numeric) = 0.7860589432864893 absolute error = 1.956212969389526e-13 relative error = 2.488633945453434e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.046999999999685 y1[1] (analytic) = 0.6173651812321197 y1[1] (numeric) = 0.6173651812318725 absolute error = 2.472466675840224e-13 relative error = 4.00486899974784e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7866767017029499 y2[1] (numeric) = 0.7866767017031451 absolute error = 1.951772077291025e-13 relative error = 2.481034550871975e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.047999999999686 y1[1] (analytic) = 0.6165781959789643 y1[1] (numeric) = 0.6165781959787172 absolute error = 2.471356452815598e-13 relative error = 4.008180096105625e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.78729367344297 y2[1] (numeric) = 0.7872936734431647 absolute error = 1.947331185192525e-13 relative error = 2.473449553679902e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.048999999999686 y1[1] (analytic) = 0.6157905941476645 y1[1] (numeric) = 0.6157905941474173 absolute error = 2.471356452815598e-13 relative error = 4.013306595298492e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7879098578893822 y2[1] (numeric) = 0.7879098578895765 absolute error = 1.942890293094024e-13 relative error = 2.465878899267172e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.049999999999686 y1[1] (analytic) = 0.6150023765258217 y1[1] (numeric) = 0.6150023765255747 absolute error = 2.470246229790973e-13 relative error = 4.016645014846145e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7885252544260022 y2[1] (numeric) = 0.788525254426196 absolute error = 1.938449400995523e-13 relative error = 2.458322533254303e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.050999999999687 y1[1] (analytic) = 0.6142135439016536 y1[1] (numeric) = 0.6142135439014067 absolute error = 2.469136006766348e-13 relative error = 4.01999602789889e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7891398624374335 y2[1] (numeric) = 0.7891398624376269 absolute error = 1.934008508897023e-13 relative error = 2.450780401491072e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.051999999999687 y1[1] (analytic) = 0.6134240970639929 y1[1] (numeric) = 0.613424097063746 absolute error = 2.469136006766348e-13 relative error = 4.025169566347776e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7897536813090681 y2[1] (numeric) = 0.789753681309261 absolute error = 1.929567616798522e-13 relative error = 2.443252450055235e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.052999999999687 y1[1] (analytic) = 0.6126340368022862 y1[1] (numeric) = 0.6126340368020394 absolute error = 2.468025783741723e-13 relative error = 4.028548261248864e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7903667104270872 y2[1] (numeric) = 0.7903667104272797 absolute error = 1.925126724700021e-13 relative error = 2.435738625251244e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.053999999999688 y1[1] (analytic) = 0.6118433639065938 y1[1] (numeric) = 0.6118433639063471 absolute error = 2.466915560717098e-13 relative error = 4.031939718960008e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7909789491784617 y2[1] (numeric) = 0.7909789491786537 absolute error = 1.920685832601521e-13 relative error = 2.428238873608978e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.054999999999688 y1[1] (analytic) = 0.6110520791675884 y1[1] (numeric) = 0.6110520791673418 absolute error = 2.465805337692473e-13 relative error = 4.035343994003817e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.791590396950953 y2[1] (numeric) = 0.7915903969511445 absolute error = 1.915134717478395e-13 relative error = 2.419350619784056e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.055999999999688 y1[1] (analytic) = 0.6102601833765547 y1[1] (numeric) = 0.6102601833763083 absolute error = 2.464695114667848e-13 relative error = 4.038761141241018e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7922010531331133 y2[1] (numeric) = 0.7922010531333044 absolute error = 1.910693825379894e-13 relative error = 2.411879936063202e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.056999999999689 y1[1] (analytic) = 0.6094676773253886 y1[1] (numeric) = 0.6094676773251422 absolute error = 2.464695114667848e-13 relative error = 4.04401284327991e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7928109171142864 y2[1] (numeric) = 0.792810917114477 absolute error = 1.906252933281394e-13 relative error = 2.404423163368979e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.057999999999689 y1[1] (analytic) = 0.608674561806596 y1[1] (numeric) = 0.6086745618063496 absolute error = 2.463584891643222e-13 relative error = 4.04745827446953e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7934199882846086 y2[1] (numeric) = 0.7934199882847988 absolute error = 1.901812041182893e-13 relative error = 2.39698024912966e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.058999999999689 y1[1] (analytic) = 0.6078808376132921 y1[1] (numeric) = 0.6078808376130459 absolute error = 2.462474668618597e-13 relative error = 4.050916752511811e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7940282660350085 y2[1] (numeric) = 0.7940282660351983 absolute error = 1.897371149084393e-13 relative error = 2.389551140992678e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.05999999999969 y1[1] (analytic) = 0.6070865055392015 y1[1] (numeric) = 0.6070865055389553 absolute error = 2.462474668618597e-13 relative error = 4.056217106047315e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7946357497572086 y2[1] (numeric) = 0.7946357497573979 absolute error = 1.892930256985892e-13 relative error = 2.382135786823402e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.06099999999969 y1[1] (analytic) = 0.6062915663786558 y1[1] (numeric) = 0.6062915663784096 absolute error = 2.461364445593972e-13 relative error = 4.059704244767181e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7952424388437251 y2[1] (numeric) = 0.795242438843914 absolute error = 1.888489364887391e-13 relative error = 2.374734134703923e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.06199999999969 y1[1] (analytic) = 0.6054960209265943 y1[1] (numeric) = 0.6054960209263482 absolute error = 2.460254222569347e-13 relative error = 4.063204608354659e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7958483326878691 y2[1] (numeric) = 0.7958483326880575 absolute error = 1.884048472788891e-13 relative error = 2.367346132931854e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.062999999999691 y1[1] (analytic) = 0.6046998699785623 y1[1] (numeric) = 0.6046998699783164 absolute error = 2.459143999544722e-13 relative error = 4.066718254184349e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7964534306837467 y2[1] (numeric) = 0.7964534306839347 absolute error = 1.87960758069039e-13 relative error = 2.359971730019126e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.063999999999691 y1[1] (analytic) = 0.6039031143307108 y1[1] (numeric) = 0.6039031143304648 absolute error = 2.459143999544722e-13 relative error = 4.072083652474824e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7970577322262601 y2[1] (numeric) = 0.7970577322264476 absolute error = 1.875166688591889e-13 relative error = 2.352610874690803e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.064999999999691 y1[1] (analytic) = 0.6031057547797951 y1[1] (numeric) = 0.6031057547795493 absolute error = 2.458033776520097e-13 relative error = 4.075626466899772e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7976612367111076 y2[1] (numeric) = 0.7976612367112946 absolute error = 1.870725796493389e-13 relative error = 2.345263515883896e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.065999999999692 y1[1] (analytic) = 0.6023077921231751 y1[1] (numeric) = 0.6023077921229293 absolute error = 2.458033776520097e-13 relative error = 4.081026027997021e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7982639435347848 y2[1] (numeric) = 0.7982639435349714 absolute error = 1.866284904394888e-13 relative error = 2.337929602746192e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.066999999999692 y1[1] (analytic) = 0.6015092271588131 y1[1] (numeric) = 0.6015092271585674 absolute error = 2.456923553495471e-13 relative error = 4.084598278068948e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.798865852094585 y2[1] (numeric) = 0.7988658520947712 absolute error = 1.861844012296388e-13 relative error = 2.330609084635084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.067999999999692 y1[1] (analytic) = 0.600710060685274 y1[1] (numeric) = 0.6007100606850284 absolute error = 2.455813330470846e-13 relative error = 4.088184119422472e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.7994669617885998 y2[1] (numeric) = 0.7994669617887855 absolute error = 1.857403120197887e-13 relative error = 2.323301911116414e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.068999999999693 y1[1] (analytic) = 0.5999102935017242 y1[1] (numeric) = 0.5999102935014788 absolute error = 2.453592884421596e-13 relative error = 4.089932963309862e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8000672720157194 y2[1] (numeric) = 0.8000672720159047 absolute error = 1.852962228099386e-13 relative error = 2.316008031963317e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.069999999999693 y1[1] (analytic) = 0.599109926407931 y1[1] (numeric) = 0.5991099264076857 absolute error = 2.453592884421596e-13 relative error = 4.095396814959391e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8006667821756336 y2[1] (numeric) = 0.8006667821758184 absolute error = 1.848521336000886e-13 relative error = 2.308727397155082e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.070999999999693 y1[1] (analytic) = 0.5983089602042614 y1[1] (numeric) = 0.598308960204016 absolute error = 2.453592884421596e-13 relative error = 4.100879391115829e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8012654916688323 y2[1] (numeric) = 0.8012654916690167 absolute error = 1.844080443902385e-13 relative error = 2.301459956876009e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.071999999999694 y1[1] (analytic) = 0.5975073956916813 y1[1] (numeric) = 0.5975073956914361 absolute error = 2.452482661396971e-13 relative error = 4.10452268721787e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8018633998966062 y2[1] (numeric) = 0.8018633998967901 absolute error = 1.839639551803884e-13 relative error = 2.294205661514282e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.072999999999694 y1[1] (analytic) = 0.5967052336717554 y1[1] (numeric) = 0.5967052336715102 absolute error = 2.452482661396971e-13 relative error = 4.110040473930332e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8024605062610469 y2[1] (numeric) = 0.8024605062612304 absolute error = 1.835198659705384e-13 relative error = 2.286964461660844e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.073999999999694 y1[1] (analytic) = 0.5959024749466455 y1[1] (numeric) = 0.5959024749464004 absolute error = 2.451372438372346e-13 relative error = 4.113714141885098e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8030568101650484 y2[1] (numeric) = 0.8030568101652313 absolute error = 1.829647544582258e-13 relative error = 2.278353811863222e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.074999999999695 y1[1] (analytic) = 0.5950991203191104 y1[1] (numeric) = 0.5950991203188652 absolute error = 2.451372438372346e-13 relative error = 4.119267454231565e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8036523110123065 y2[1] (numeric) = 0.803652311012489 absolute error = 1.825206652483757e-13 relative error = 2.271139680024895e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.075999999999695 y1[1] (analytic) = 0.5942951705925045 y1[1] (numeric) = 0.5942951705922594 absolute error = 2.45026221534772e-13 relative error = 4.122971776642306e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8042470082073206 y2[1] (numeric) = 0.8042470082075027 absolute error = 1.820765760385257e-13 relative error = 2.263938493776648e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.076999999999695 y1[1] (analytic) = 0.5934906265707776 y1[1] (numeric) = 0.5934906265705325 absolute error = 2.45026221534772e-13 relative error = 4.128560933650249e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8048409011553935 y2[1] (numeric) = 0.8048409011555752 absolute error = 1.816324868286756e-13 relative error = 2.256750204517839e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.077999999999696 y1[1] (analytic) = 0.5926854890584734 y1[1] (numeric) = 0.5926854890582286 absolute error = 2.44804176929847e-13 relative error = 4.130422989075324e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8054339892626323 y2[1] (numeric) = 0.8054339892628135 absolute error = 1.811883976188255e-13 relative error = 2.249574763845041e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.078999999999696 y1[1] (analytic) = 0.5918797588607296 y1[1] (numeric) = 0.5918797588604849 absolute error = 2.446931546273845e-13 relative error = 4.134170006056268e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.806026271935949 y2[1] (numeric) = 0.8060262719361297 absolute error = 1.807443084089755e-13 relative error = 2.24241212355096e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.079999999999696 y1[1] (analytic) = 0.5910734367832764 y1[1] (numeric) = 0.5910734367830317 absolute error = 2.446931546273845e-13 relative error = 4.139809698758362e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.806617748583061 y2[1] (numeric) = 0.8066177485832412 absolute error = 1.801891968966629e-13 relative error = 2.233885842621129e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.080999999999697 y1[1] (analytic) = 0.5902665236324356 y1[1] (numeric) = 0.590266523632191 absolute error = 2.44582132324922e-13 relative error = 4.143588066282165e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8072084186124915 y2[1] (numeric) = 0.8072084186126713 absolute error = 1.798561299892754e-13 relative error = 2.228125052243999e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.081999999999697 y1[1] (analytic) = 0.5894590202151203 y1[1] (numeric) = 0.5894590202148758 absolute error = 2.444711100224595e-13 relative error = 4.147380931302754e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8077982814335707 y2[1] (numeric) = 0.8077982814337501 absolute error = 1.794120407794253e-13 relative error = 2.221000525787566e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.082999999999697 y1[1] (analytic) = 0.588650927338834 y1[1] (numeric) = 0.5886509273385896 absolute error = 2.44360087719997e-13 relative error = 4.151188359197821e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8083873364564358 y2[1] (numeric) = 0.8083873364566148 absolute error = 1.789679515695752e-13 relative error = 2.213888608820629e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.083999999999698 y1[1] (analytic) = 0.5878422458116693 y1[1] (numeric) = 0.5878422458114251 absolute error = 2.442490654175344e-13 relative error = 4.155010415766988e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8089755830920319 y2[1] (numeric) = 0.8089755830922103 absolute error = 1.784128400572627e-13 relative error = 2.205416872723658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.084999999999698 y1[1] (analytic) = 0.5870329764423079 y1[1] (numeric) = 0.5870329764420638 absolute error = 2.441380431150719e-13 relative error = 4.158847167235164e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8095630207521122 y2[1] (numeric) = 0.8095630207522901 absolute error = 1.779687508474126e-13 relative error = 2.198331029029382e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.085999999999698 y1[1] (analytic) = 0.586223120040019 y1[1] (numeric) = 0.5862231200397748 absolute error = 2.441380431150719e-13 relative error = 4.164592537708264e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8101496488492392 y2[1] (numeric) = 0.8101496488494168 absolute error = 1.775246616375625e-13 relative error = 2.191257650851591e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.086999999999699 y1[1] (analytic) = 0.5854126774146587 y1[1] (numeric) = 0.5854126774144147 absolute error = 2.440270208126094e-13 relative error = 4.168461501214817e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8107354667967849 y2[1] (numeric) = 0.8107354667969621 absolute error = 1.77191594730175e-13 relative error = 2.185566093836487e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.087999999999699 y1[1] (analytic) = 0.5846016493766699 y1[1] (numeric) = 0.584601649376426 absolute error = 2.439159985101469e-13 relative error = 4.172345370051927e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8113204740089314 y2[1] (numeric) = 0.8113204740091081 absolute error = 1.767475055203249e-13 relative error = 2.178516519458366e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.088999999999699 y1[1] (analytic) = 0.5837900367370805 y1[1] (numeric) = 0.5837900367368366 absolute error = 2.439159985101469e-13 relative error = 4.178145962775286e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8119046699006714 y2[1] (numeric) = 0.8119046699008478 absolute error = 1.763034163104749e-13 relative error = 2.171479273940423e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.0899999999997 y1[1] (analytic) = 0.582977840307503 y1[1] (numeric) = 0.5829778403072592 absolute error = 2.438049762076844e-13 relative error = 4.182062496219148e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8124880538878092 y2[1] (numeric) = 0.8124880538879852 absolute error = 1.759703494030873e-13 relative error = 2.165820759592188e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.0909999999997 y1[1] (analytic) = 0.5821650609001336 y1[1] (numeric) = 0.5821650608998901 absolute error = 2.435829316027593e-13 relative error = 4.184087090800942e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8130706253869608 y2[1] (numeric) = 0.8130706253871364 absolute error = 1.755262601932372e-13 relative error = 2.158807054549534e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.0919999999997 y1[1] (analytic) = 0.581351699327752 y1[1] (numeric) = 0.5813516993275085 absolute error = 2.434719093002968e-13 relative error = 4.188031265442871e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8136523838155548 y2[1] (numeric) = 0.8136523838157299 absolute error = 1.750821709833872e-13 relative error = 2.151805543324952e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.092999999999701 y1[1] (analytic) = 0.5805377564037195 y1[1] (numeric) = 0.580537756403476 absolute error = 2.434719093002968e-13 relative error = 4.19390309440926e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8142333285918328 y2[1] (numeric) = 0.8142333285920075 absolute error = 1.746380817735371e-13 relative error = 2.144816180339401e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.093999999999701 y1[1] (analytic) = 0.5797232329419789 y1[1] (numeric) = 0.5797232329417356 absolute error = 2.433608869978343e-13 relative error = 4.197880525899001e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8148134591348501 y2[1] (numeric) = 0.8148134591350243 absolute error = 1.741939925636871e-13 relative error = 2.137838920194595e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.094999999999701 y1[1] (analytic) = 0.5789081297570537 y1[1] (numeric) = 0.5789081297568105 absolute error = 2.432498646953718e-13 relative error = 4.201873357650976e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8153927748644761 y2[1] (numeric) = 0.8153927748646499 absolute error = 1.73749903353837e-13 relative error = 2.130873717672019e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.095999999999702 y1[1] (analytic) = 0.578092447664047 y1[1] (numeric) = 0.5780924476638039 absolute error = 2.431388423929093e-13 relative error = 4.205881660889767e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8159712752013952 y2[1] (numeric) = 0.8159712752015685 absolute error = 1.733058141439869e-13 relative error = 2.123920527731962e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.096999999999702 y1[1] (analytic) = 0.5772761874786407 y1[1] (numeric) = 0.5772761874783977 absolute error = 2.430278200904468e-13 relative error = 4.209905507308645e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8165489595671072 y2[1] (numeric) = 0.81654895956728 absolute error = 1.728617249341369e-13 relative error = 2.116979305512549e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.097999999999702 y1[1] (analytic) = 0.5764593500170951 y1[1] (numeric) = 0.5764593500168522 absolute error = 2.429167977879843e-13 relative error = 4.213944969073369e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8171258273839276 y2[1] (numeric) = 0.8171258273841 absolute error = 1.724176357242868e-13 relative error = 2.110050006328783e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.098999999999703 y1[1] (analytic) = 0.5756419360962476 y1[1] (numeric) = 0.5756419360960048 absolute error = 2.428057754855217e-13 relative error = 4.218000118826028e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8177018780749886 y2[1] (numeric) = 0.8177018780751607 absolute error = 1.720845688168993e-13 relative error = 2.104490321362794e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.099999999999703 y1[1] (analytic) = 0.574823946533512 y1[1] (numeric) = 0.5748239465332692 absolute error = 2.428057754855217e-13 relative error = 4.224002443700669e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8182771110642397 y2[1] (numeric) = 0.8182771110644115 absolute error = 1.717515019095117e-13 relative error = 2.098940561665401e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.100999999999703 y1[1] (analytic) = 0.5740053821468776 y1[1] (numeric) = 0.574005382146635 absolute error = 2.425837308805967e-13 relative error = 4.226157775268454e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.818851525776448 y2[1] (numeric) = 0.8188515257766193 absolute error = 1.713074126996617e-13 relative error = 2.092044861700969e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.101999999999704 y1[1] (analytic) = 0.573186243754909 y1[1] (numeric) = 0.5731862437546664 absolute error = 2.425837308805967e-13 relative error = 4.232197362090288e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8194251216371988 y2[1] (numeric) = 0.8194251216373697 absolute error = 1.708633234898116e-13 relative error = 2.085160913158597e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.102999999999704 y1[1] (analytic) = 0.5723665321767444 y1[1] (numeric) = 0.5723665321765019 absolute error = 2.424727085781342e-13 relative error = 4.236318773845771e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8199978980728961 y2[1] (numeric) = 0.8199978980730667 absolute error = 1.70530256582424e-13 relative error = 2.07964260619683e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.103999999999704 y1[1] (analytic) = 0.5715462482320953 y1[1] (numeric) = 0.571546248231853 absolute error = 2.423616862756717e-13 relative error = 4.240456253983714e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8205698545107638 y2[1] (numeric) = 0.8205698545109339 absolute error = 1.70086167372574e-13 relative error = 2.072781085456545e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.104999999999705 y1[1] (analytic) = 0.5707253927412456 y1[1] (numeric) = 0.5707253927410033 absolute error = 2.422506639732092e-13 relative error = 4.244609878135216e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8211409903788454 y2[1] (numeric) = 0.821140990379015 absolute error = 1.696420781627239e-13 relative error = 2.065931187827526e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.105999999999705 y1[1] (analytic) = 0.5699039665250507 y1[1] (numeric) = 0.5699039665248086 absolute error = 2.421396416707466e-13 relative error = 4.248779722435975e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8217113051060049 y2[1] (numeric) = 0.8217113051061742 absolute error = 1.693090112553364e-13 relative error = 2.060443980790731e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.106999999999705 y1[1] (analytic) = 0.5690819704049368 y1[1] (numeric) = 0.5690819704046948 absolute error = 2.420286193682841e-13 relative error = 4.252965863530449e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8222807981219279 y2[1] (numeric) = 0.8222807981220966 absolute error = 1.687538997430238e-13 relative error = 2.052266088767416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.107999999999706 y1[1] (analytic) = 0.5682594052028999 y1[1] (numeric) = 0.5682594052026579 absolute error = 2.419175970658216e-13 relative error = 4.257168378576043e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8228494688571212 y2[1] (numeric) = 0.8228494688572896 absolute error = 1.684208328356362e-13 relative error = 2.046800043142286e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.108999999999706 y1[1] (analytic) = 0.5674362717415051 y1[1] (numeric) = 0.5674362717412633 absolute error = 2.418065747633591e-13 relative error = 4.261387345247358e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8234173167429143 y2[1] (numeric) = 0.8234173167430823 absolute error = 1.679767436257862e-13 relative error = 2.039995275909792e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.109999999999706 y1[1] (analytic) = 0.5666125708438859 y1[1] (numeric) = 0.5666125708436442 absolute error = 2.416955524608966e-13 relative error = 4.265622841740462e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8239843412114591 y2[1] (numeric) = 0.8239843412116268 absolute error = 1.676436767183986e-13 relative error = 2.034549303108373e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.110999999999707 y1[1] (analytic) = 0.5657883033337431 y1[1] (numeric) = 0.5657883033335015 absolute error = 2.415845301584341e-13 relative error = 4.269874946777221e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8245505416957315 y2[1] (numeric) = 0.8245505416958987 absolute error = 1.671995875085486e-13 relative error = 2.027766389731475e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.111999999999707 y1[1] (analytic) = 0.5649634700353441 y1[1] (numeric) = 0.5649634700351026 absolute error = 2.414735078559715e-13 relative error = 4.274143739609659e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.825115917629531 y2[1] (numeric) = 0.8251159176296977 absolute error = 1.667554982986985e-13 relative error = 2.020994804921096e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.112999999999707 y1[1] (analytic) = 0.564138071773522 y1[1] (numeric) = 0.5641380717732808 absolute error = 2.412514632510465e-13 relative error = 4.276461301266314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8256804684474814 y2[1] (numeric) = 0.8256804684476479 absolute error = 1.66422431391311e-13 relative error = 2.015579122323595e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.113999999999708 y1[1] (analytic) = 0.5633121093736754 y1[1] (numeric) = 0.5633121093734341 absolute error = 2.412514632510465e-13 relative error = 4.282731708346986e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8262441935850323 y2[1] (numeric) = 0.8262441935851983 absolute error = 1.659783421814609e-13 relative error = 2.008829150874745e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.114999999999708 y1[1] (analytic) = 0.5624855836617662 y1[1] (numeric) = 0.562485583661525 absolute error = 2.41140440948584e-13 relative error = 4.287051045446643e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8268070924784585 y2[1] (numeric) = 0.8268070924786241 absolute error = 1.655342529716108e-13 relative error = 2.002090384534572e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.115999999999708 y1[1] (analytic) = 0.5616584954643202 y1[1] (numeric) = 0.5616584954640792 absolute error = 2.410294186461215e-13 relative error = 4.29138739274056e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8273691645648611 y2[1] (numeric) = 0.8273691645650262 absolute error = 1.650901637617608e-13 relative error = 1.99536278160169e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.116999999999709 y1[1] (analytic) = 0.5608308456084257 y1[1] (numeric) = 0.5608308456081847 absolute error = 2.40918396343659e-13 relative error = 4.295740832198612e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.827930409282168 y2[1] (numeric) = 0.8279304092823327 absolute error = 1.647570968543732e-13 relative error = 1.989987262301682e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.117999999999709 y1[1] (analytic) = 0.5600026349217322 y1[1] (numeric) = 0.5600026349214914 absolute error = 2.408073740411965e-13 relative error = 4.300111446347971e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8284908260691347 y2[1] (numeric) = 0.828490826069299 absolute error = 1.643130076445232e-13 relative error = 1.983280954650086e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.118999999999709 y1[1] (analytic) = 0.5591738642324504 y1[1] (numeric) = 0.5591738642322097 absolute error = 2.406963517387339e-13 relative error = 4.304499318277788e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8290504143653443 y2[1] (numeric) = 0.8290504143655082 absolute error = 1.638689184346731e-13 relative error = 1.976585688822292e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.11999999999971 y1[1] (analytic) = 0.5583445343693511 y1[1] (numeric) = 0.5583445343691105 absolute error = 2.405853294362714e-13 relative error = 4.308904531643926e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8296091736112087 y2[1] (numeric) = 0.8296091736113721 absolute error = 1.63424829224823e-13 relative error = 1.969901423744515e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.12099999999971 y1[1] (analytic) = 0.5575146461617638 y1[1] (numeric) = 0.5575146461615234 absolute error = 2.404743071338089e-13 relative error = 4.313327170673735e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8301671032479686 y2[1] (numeric) = 0.8301671032481316 absolute error = 1.62980740014973e-13 relative error = 1.963228118499549e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.12199999999971 y1[1] (analytic) = 0.5566842004395769 y1[1] (numeric) = 0.5566842004393365 absolute error = 2.403632848313464e-13 relative error = 4.317767320170885e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8307242027176944 y2[1] (numeric) = 0.830724202717857 absolute error = 1.625366508051229e-13 relative error = 1.956565732325941e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.122999999999711 y1[1] (analytic) = 0.555853198033236 y1[1] (numeric) = 0.5558531980329957 absolute error = 2.402522625288839e-13 relative error = 4.322225065520241e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8312804714632867 y2[1] (numeric) = 0.8312804714634489 absolute error = 1.622035838977354e-13 relative error = 1.951249782305262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.123999999999711 y1[1] (analytic) = 0.5550216397737432 y1[1] (numeric) = 0.5550216397735032 absolute error = 2.400302179239588e-13 relative error = 4.32470016884041e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8318359089284768 y2[1] (numeric) = 0.8318359089286386 absolute error = 1.617594946878853e-13 relative error = 1.944608220823919e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.124999999999711 y1[1] (analytic) = 0.5541895264926571 y1[1] (numeric) = 0.554189526492417 absolute error = 2.400302179239588e-13 relative error = 4.331193688250606e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8323905145578273 y2[1] (numeric) = 0.8323905145579886 absolute error = 1.613154054780352e-13 relative error = 1.937977459578901e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.125999999999712 y1[1] (analytic) = 0.5533568590220905 y1[1] (numeric) = 0.5533568590218506 absolute error = 2.399191956214963e-13 relative error = 4.335704739351907e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8329442877967327 y2[1] (numeric) = 0.8329442877968936 absolute error = 1.608713162681852e-13 relative error = 1.931357458416755e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.126999999999712 y1[1] (analytic) = 0.5525236381947111 y1[1] (numeric) = 0.5525236381944713 absolute error = 2.398081733190338e-13 relative error = 4.340233733756105e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8334972280914196 y2[1] (numeric) = 0.8334972280915801 absolute error = 1.605382493607976e-13 relative error = 1.926080182994796e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.127999999999712 y1[1] (analytic) = 0.5516898648437395 y1[1] (numeric) = 0.5516898648434998 absolute error = 2.396971510165713e-13 relative error = 4.34478075982895e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8340493348889479 y2[1] (numeric) = 0.834049334889108 absolute error = 1.600941601509476e-13 relative error = 1.919480700410411e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.128999999999713 y1[1] (analytic) = 0.5508555398029491 y1[1] (numeric) = 0.5508555398027095 absolute error = 2.395861287141088e-13 relative error = 4.349345906547714e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8346006076372109 y2[1] (numeric) = 0.8346006076373705 absolute error = 1.596500709410975e-13 relative error = 1.912891860851546e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.129999999999713 y1[1] (analytic) = 0.5500206639066647 y1[1] (numeric) = 0.5500206639064253 absolute error = 2.393640841091838e-13 relative error = 4.351910752025899e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8351510457849357 y2[1] (numeric) = 0.8351510457850949 absolute error = 1.592059817312474e-13 relative error = 1.906313624760107e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.130999999999713 y1[1] (analytic) = 0.5491852379897623 y1[1] (numeric) = 0.549185237989523 absolute error = 2.392530618067212e-13 relative error = 4.356509338861386e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8357006487816844 y2[1] (numeric) = 0.8357006487818431 absolute error = 1.587618925213974e-13 relative error = 1.89974595272657e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.131999999999714 y1[1] (analytic) = 0.5483492628876677 y1[1] (numeric) = 0.5483492628874285 absolute error = 2.392530618067212e-13 relative error = 4.363150969635451e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8362494160778539 y2[1] (numeric) = 0.8362494160780122 absolute error = 1.583178033115473e-13 relative error = 1.8931888054892e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.132999999999714 y1[1] (analytic) = 0.5475127394363558 y1[1] (numeric) = 0.5475127394361168 absolute error = 2.390310172017962e-13 relative error = 4.365761743696956e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.836797347124677 y2[1] (numeric) = 0.8367973471248349 absolute error = 1.578737141016973e-13 relative error = 1.886642143933269e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.133999999999714 y1[1] (analytic) = 0.5466756684723502 y1[1] (numeric) = 0.5466756684721112 absolute error = 2.389199948993337e-13 relative error = 4.37041574517081e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8373444413742227 y2[1] (numeric) = 0.8373444413743802 absolute error = 1.575406471943097e-13 relative error = 1.881431814794866e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.134999999999715 y1[1] (analytic) = 0.5458380508327216 y1[1] (numeric) = 0.5458380508324828 absolute error = 2.388089725968712e-13 relative error = 4.375088402733157e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8378906982793968 y2[1] (numeric) = 0.837890698279554 absolute error = 1.572075802869222e-13 relative error = 1.876230164742811e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.135999999999715 y1[1] (analytic) = 0.5449998873550878 y1[1] (numeric) = 0.5449998873548491 absolute error = 2.386979502944087e-13 relative error = 4.379779809732108e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8384361172939425 y2[1] (numeric) = 0.8384361172940993 absolute error = 1.567634910770721e-13 relative error = 1.86971300309709e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.136999999999715 y1[1] (analytic) = 0.5441611788776118 y1[1] (numeric) = 0.5441611788773734 absolute error = 2.384759056894836e-13 relative error = 4.382449813515999e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8389806978724408 y2[1] (numeric) = 0.8389806978725971 absolute error = 1.56319401867222e-13 relative error = 1.863206177014921e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.137999999999716 y1[1] (analytic) = 0.5433219262390026 y1[1] (numeric) = 0.5433219262387641 absolute error = 2.384759056894836e-13 relative error = 4.389219248710757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8395244394703111 y2[1] (numeric) = 0.839524439470467 absolute error = 1.55875312657372e-13 relative error = 1.856709648092197e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.138999999999716 y1[1] (analytic) = 0.5424821302785121 y1[1] (numeric) = 0.5424821302782739 absolute error = 2.382538610845586e-13 relative error = 4.391920909214803e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8400673415438118 y2[1] (numeric) = 0.8400673415439673 absolute error = 1.555422457499844e-13 relative error = 1.851544966194505e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.139999999999716 y1[1] (analytic) = 0.5416417918359367 y1[1] (numeric) = 0.5416417918356986 absolute error = 2.381428387820961e-13 relative error = 4.396685085449047e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8406094035500411 y2[1] (numeric) = 0.8406094035501962 absolute error = 1.550981565401344e-13 relative error = 1.845068064729321e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.140999999999717 y1[1] (analytic) = 0.5408009117516146 y1[1] (numeric) = 0.5408009117513766 absolute error = 2.380318164796336e-13 relative error = 4.401468475869723e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8411506249469368 y2[1] (numeric) = 0.8411506249470915 absolute error = 1.546540673302843e-13 relative error = 1.838601348480725e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.141999999999717 y1[1] (analytic) = 0.5399594908664258 y1[1] (numeric) = 0.5399594908661879 absolute error = 2.37920794177171e-13 relative error = 4.406271177776694e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8416910051932777 y2[1] (numeric) = 0.841691005193432 absolute error = 1.543210004228968e-13 relative error = 1.833463818322022e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.142999999999717 y1[1] (analytic) = 0.5391175300217912 y1[1] (numeric) = 0.5391175300215534 absolute error = 2.378097718747085e-13 relative error = 4.411093289158975e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8422305437486836 y2[1] (numeric) = 0.8422305437488374 absolute error = 1.538769112130467e-13 relative error = 1.827016514126358e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.143999999999718 y1[1] (analytic) = 0.5382750300596714 y1[1] (numeric) = 0.5382750300594338 absolute error = 2.375877272697835e-13 relative error = 4.413872351527161e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8427692400736158 y2[1] (numeric) = 0.8427692400737693 absolute error = 1.535438443056591e-13 relative error = 1.821896635575441e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.144999999999718 y1[1] (analytic) = 0.5374319918225664 y1[1] (numeric) = 0.5374319918223289 absolute error = 2.37476704967321e-13 relative error = 4.418730343200784e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8433070936293782 y2[1] (numeric) = 0.8433070936295313 absolute error = 1.530997550958091e-13 relative error = 1.815468602747154e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.145999999999718 y1[1] (analytic) = 0.5365884161535145 y1[1] (numeric) = 0.536588416153277 absolute error = 2.37476704967321e-13 relative error = 4.425677070512466e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8438441038781173 y2[1] (numeric) = 0.8438441038782699 absolute error = 1.52655665885959e-13 relative error = 1.809050572071168e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.146999999999719 y1[1] (analytic) = 0.535744303896091 y1[1] (numeric) = 0.5357443038958537 absolute error = 2.37254660362396e-13 relative error = 4.428505513488616e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8443802702828228 y2[1] (numeric) = 0.844380270282975 absolute error = 1.52211576676109e-13 relative error = 1.802642506380758e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.147999999999719 y1[1] (analytic) = 0.5348996558944084 y1[1] (numeric) = 0.5348996558941711 absolute error = 2.37254660362396e-13 relative error = 4.435498466823301e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8449155923073284 y2[1] (numeric) = 0.8449155923074803 absolute error = 1.518785097687214e-13 relative error = 1.79755837330408e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.148999999999719 y1[1] (analytic) = 0.5340544729931143 y1[1] (numeric) = 0.5340544729928772 absolute error = 2.370326157574709e-13 relative error = 4.438360274917631e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8454500694163121 y2[1] (numeric) = 0.8454500694164635 absolute error = 1.514344205588714e-13 relative error = 1.791169295939851e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.14999999999972 y1[1] (analytic) = 0.5332087560373918 y1[1] (numeric) = 0.5332087560371549 absolute error = 2.369215934550084e-13 relative error = 4.443317758240152e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8459837010752969 y2[1] (numeric) = 0.8459837010754478 absolute error = 1.509903313490213e-13 relative error = 1.784790075235532e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.15099999999972 y1[1] (analytic) = 0.5323625058729576 y1[1] (numeric) = 0.5323625058727209 absolute error = 2.366995488500834e-13 relative error = 4.44620998358906e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8465164867506511 y2[1] (numeric) = 0.8465164867508016 absolute error = 1.505462421391712e-13 relative error = 1.778420674558179e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.15199999999972 y1[1] (analytic) = 0.5315157233460621 y1[1] (numeric) = 0.5315157233458254 absolute error = 2.366995488500834e-13 relative error = 4.453293448404193e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.847048425909589 y2[1] (numeric) = 0.8470484259097392 absolute error = 1.502131752317837e-13 relative error = 1.773371753456477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.152999999999721 y1[1] (analytic) = 0.5306684093034874 y1[1] (numeric) = 0.5306684093032509 absolute error = 2.364775042451583e-13 relative error = 4.456219742862397e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8475795180201716 y2[1] (numeric) = 0.8475795180203214 absolute error = 1.497690860219336e-13 relative error = 1.767021062186277e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.153999999999721 y1[1] (analytic) = 0.5298205645925477 y1[1] (numeric) = 0.5298205645923113 absolute error = 2.363664819426958e-13 relative error = 4.461255333198905e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8481097625513068 y2[1] (numeric) = 0.8481097625514562 absolute error = 1.494360191145461e-13 relative error = 1.761989140002452e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.154999999999721 y1[1] (analytic) = 0.5289721900610874 y1[1] (numeric) = 0.5289721900608513 absolute error = 2.361444373377708e-13 relative error = 4.464212708620846e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8486391589727502 y2[1] (numeric) = 0.8486391589728992 absolute error = 1.48991929904696e-13 relative error = 1.755657022532944e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.155999999999722 y1[1] (analytic) = 0.5281232865574813 y1[1] (numeric) = 0.5281232865572453 absolute error = 2.360334150353083e-13 relative error = 4.469286264081791e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8491677067551053 y2[1] (numeric) = 0.8491677067552539 absolute error = 1.485478406948459e-13 relative error = 1.749334548560338e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.156999999999722 y1[1] (analytic) = 0.5272738549306326 y1[1] (numeric) = 0.5272738549303967 absolute error = 2.359223927328458e-13 relative error = 4.474380637816441e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8496954053698245 y2[1] (numeric) = 0.8496954053699726 absolute error = 1.481037514849959e-13 relative error = 1.743021682228995e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.157999999999722 y1[1] (analytic) = 0.5264238960299729 y1[1] (numeric) = 0.5264238960297372 absolute error = 2.357003481279207e-13 relative error = 4.477386948150635e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8502222542892089 y2[1] (numeric) = 0.8502222542893567 absolute error = 1.477706845776083e-13 relative error = 1.7380241911116e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.158999999999723 y1[1] (analytic) = 0.525573410705461 y1[1] (numeric) = 0.5255734107052255 absolute error = 2.355893258254582e-13 relative error = 4.482519873089354e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8507482529864101 y2[1] (numeric) = 0.8507482529865574 absolute error = 1.473265953677583e-13 relative error = 1.731729625662971e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.159999999999723 y1[1] (analytic) = 0.5247223998075822 y1[1] (numeric) = 0.5247223998073468 absolute error = 2.353672812205332e-13 relative error = 4.485558102852924e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8512734009354291 y2[1] (numeric) = 0.851273400935576 absolute error = 1.468825061579082e-13 relative error = 1.72544456336243e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.160999999999723 y1[1] (analytic) = 0.5238708641873474 y1[1] (numeric) = 0.523870864187112 absolute error = 2.353672812205332e-13 relative error = 4.492849236531712e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8517976976111181 y2[1] (numeric) = 0.8517976976112647 absolute error = 1.465494392505207e-13 relative error = 1.720472357010605e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.161999999999724 y1[1] (analytic) = 0.5230188046962919 y1[1] (numeric) = 0.5230188046960568 absolute error = 2.351452366156082e-13 relative error = 4.495923177220234e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8523211424891806 y2[1] (numeric) = 0.8523211424893267 absolute error = 1.461053500406706e-13 relative error = 1.714205394623603e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.162999999999724 y1[1] (analytic) = 0.5221662221864755 y1[1] (numeric) = 0.5221662221862404 absolute error = 2.350342143131456e-13 relative error = 4.501137843213659e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8528437350461715 y2[1] (numeric) = 0.8528437350463172 absolute error = 1.456612608308205e-13 relative error = 1.707947832001541e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.163999999999724 y1[1] (analytic) = 0.5213131175104803 y1[1] (numeric) = 0.5213131175102453 absolute error = 2.349231920106831e-13 relative error = 4.506374079604094e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8533654747594984 y2[1] (numeric) = 0.8533654747596437 absolute error = 1.45328193923433e-13 relative error = 1.703000627771945e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.164999999999725 y1[1] (analytic) = 0.520459491521411 y1[1] (numeric) = 0.5204594915211762 absolute error = 2.348121697082206e-13 relative error = 4.511632000827114e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8538863611074218 y2[1] (numeric) = 0.8538863611075667 absolute error = 1.448841047135829e-13 relative error = 1.696760966244734e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.165999999999725 y1[1] (analytic) = 0.5196053450728937 y1[1] (numeric) = 0.519605345072659 absolute error = 2.347011474057581e-13 relative error = 4.516911722161608e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8544063935690551 y2[1] (numeric) = 0.8544063935691997 absolute error = 1.445510378061954e-13 relative error = 1.691830010802844e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.166999999999725 y1[1] (analytic) = 0.5187506790190745 y1[1] (numeric) = 0.51875067901884 absolute error = 2.344791028008331e-13 relative error = 4.520073173575764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8549255716243661 y2[1] (numeric) = 0.8549255716245102 absolute error = 1.441069485963453e-13 relative error = 1.685608120512068e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.167999999999726 y1[1] (analytic) = 0.5178954942146196 y1[1] (numeric) = 0.5178954942143852 absolute error = 2.343680804983705e-13 relative error = 4.52539331035861e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8554438947541767 y2[1] (numeric) = 0.8554438947543205 absolute error = 1.437738816889578e-13 relative error = 1.680693293512523e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.168999999999726 y1[1] (analytic) = 0.5170397915147135 y1[1] (numeric) = 0.5170397915144793 absolute error = 2.341460358934455e-13 relative error = 4.528588316336237e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8559613624401639 y2[1] (numeric) = 0.8559613624403072 absolute error = 1.433297924791077e-13 relative error = 1.674489045516084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.169999999999726 y1[1] (analytic) = 0.516183571775059 y1[1] (numeric) = 0.516183571774825 absolute error = 2.34035013590983e-13 relative error = 4.533949284479942e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8564779741648599 y2[1] (numeric) = 0.8564779741650028 absolute error = 1.428857032692576e-13 relative error = 1.668293961775066e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.170999999999727 y1[1] (analytic) = 0.5153268358518759 y1[1] (numeric) = 0.515326835851642 absolute error = 2.339239912885205e-13 relative error = 4.539332614064736e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8569937294116532 y2[1] (numeric) = 0.8569937294117956 absolute error = 1.424416140594076e-13 relative error = 1.662108008155406e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.171999999999727 y1[1] (analytic) = 0.5144695846018997 y1[1] (numeric) = 0.514469584601666 absolute error = 2.337019466835955e-13 relative error = 4.542580429986657e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8575086276647884 y2[1] (numeric) = 0.8575086276649305 absolute error = 1.4210854715202e-13 relative error = 1.657225858345208e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.172999999999727 y1[1] (analytic) = 0.5136118188823819 y1[1] (numeric) = 0.5136118188821484 absolute error = 2.335909243811329e-13 relative error = 4.548005240405609e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8580226684093675 y2[1] (numeric) = 0.8580226684095091 absolute error = 1.4166445794217e-13 relative error = 1.651057287388368e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.173999999999728 y1[1] (analytic) = 0.5127535395510879 y1[1] (numeric) = 0.5127535395508546 absolute error = 2.333688797762079e-13 relative error = 4.551287544119553e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8585358511313496 y2[1] (numeric) = 0.8585358511314909 absolute error = 1.413313910347824e-13 relative error = 1.646190905697656e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.174999999999728 y1[1] (analytic) = 0.5118947474662973 y1[1] (numeric) = 0.511894747466064 absolute error = 2.332578574737454e-13 relative error = 4.556754266932636e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8590481753175522 y2[1] (numeric) = 0.8590481753176931 absolute error = 1.408873018249324e-13 relative error = 1.640039591177207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.175999999999728 y1[1] (analytic) = 0.5110354434868016 y1[1] (numeric) = 0.5110354434865686 absolute error = 2.330358128688204e-13 relative error = 4.560071436118284e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8595596404556509 y2[1] (numeric) = 0.8595596404557915 absolute error = 1.405542349175448e-13 relative error = 1.635188860694265e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.176999999999729 y1[1] (analytic) = 0.5101756284719052 y1[1] (numeric) = 0.5101756284716723 absolute error = 2.329247905663578e-13 relative error = 4.565580509285044e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8600702460341809 y2[1] (numeric) = 0.860070246034321 absolute error = 1.401101457076948e-13 relative error = 1.629054677263263e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.177999999999729 y1[1] (analytic) = 0.5093153032814228 y1[1] (numeric) = 0.50931530328119 absolute error = 2.328137682638953e-13 relative error = 4.57111276185734e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8605799915425366 y2[1] (numeric) = 0.8605799915426763 absolute error = 1.396660564978447e-13 relative error = 1.622929394947957e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.178999999999729 y1[1] (analytic) = 0.5084544687756796 y1[1] (numeric) = 0.5084544687754469 absolute error = 2.327027459614328e-13 relative error = 4.576668320405634e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8610888764709723 y2[1] (numeric) = 0.8610888764711117 absolute error = 1.393329895904571e-13 relative error = 1.618102305089458e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.17999999999973 y1[1] (analytic) = 0.5075931258155099 y1[1] (numeric) = 0.5075931258152774 absolute error = 2.324807013565078e-13 relative error = 4.580060082236129e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8615969003106034 y2[1] (numeric) = 0.8615969003107423 absolute error = 1.388889003806071e-13 relative error = 1.611993965281653e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.18099999999973 y1[1] (analytic) = 0.5067312752622567 y1[1] (numeric) = 0.5067312752620243 absolute error = 2.323696790540453e-13 relative error = 4.585658916232934e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.862104062553406 y2[1] (numeric) = 0.8621040625535445 absolute error = 1.385558334732195e-13 relative error = 1.607182235783006e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.18199999999973 y1[1] (analytic) = 0.5058689179777706 y1[1] (numeric) = 0.5058689179775383 absolute error = 2.322586567515827e-13 relative error = 4.591281426817943e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8626103626922179 y2[1] (numeric) = 0.862610362692356 absolute error = 1.381117442633695e-13 relative error = 1.601090715306514e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.182999999999731 y1[1] (analytic) = 0.5050060548244085 y1[1] (numeric) = 0.5050060548241764 absolute error = 2.321476344491202e-13 relative error = 4.596927744358201e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.863115800220739 y2[1] (numeric) = 0.8631158002208766 absolute error = 1.376676550535194e-13 relative error = 1.595007935416214e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.183999999999731 y1[1] (analytic) = 0.5041426866650337 y1[1] (numeric) = 0.5041426866648018 absolute error = 2.319255898441952e-13 relative error = 4.600395800213065e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8636203746335317 y2[1] (numeric) = 0.863620374633669 absolute error = 1.373345881461319e-13 relative error = 1.590219408665623e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.184999999999731 y1[1] (analytic) = 0.5032788143630142 y1[1] (numeric) = 0.5032788143627825 absolute error = 2.317035452392702e-13 relative error = 4.603880366641914e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8641240854260218 y2[1] (numeric) = 0.8641240854261587 absolute error = 1.368904989362818e-13 relative error = 1.584153262766579e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.185999999999732 y1[1] (analytic) = 0.5024144387822225 y1[1] (numeric) = 0.5024144387819909 absolute error = 2.315925229368077e-13 relative error = 4.609591306693998e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8646269320944985 y2[1] (numeric) = 0.864626932094635 absolute error = 1.365574320288943e-13 relative error = 1.579379810643804e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.186999999999732 y1[1] (analytic) = 0.5015495607870337 y1[1] (numeric) = 0.5015495607868022 absolute error = 2.314815006343451e-13 relative error = 4.615326554590206e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8651289141361151 y2[1] (numeric) = 0.8651289141362513 absolute error = 1.361133428190442e-13 relative error = 1.573330177676026e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.187999999999732 y1[1] (analytic) = 0.5006841812423259 y1[1] (numeric) = 0.5006841812420947 absolute error = 2.312594560294201e-13 relative error = 4.618868833754764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8656300310488897 y2[1] (numeric) = 0.8656300310490255 absolute error = 1.357802759116566e-13 relative error = 1.568571688151008e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.188999999999733 y1[1] (analytic) = 0.4998183010134786 y1[1] (numeric) = 0.4998183010132476 absolute error = 2.310374114244951e-13 relative error = 4.622428009459075e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8661302823317054 y2[1] (numeric) = 0.8661302823318408 absolute error = 1.353361867018066e-13 relative error = 1.562538447881866e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.189999999999733 y1[1] (analytic) = 0.498951920966372 y1[1] (numeric) = 0.4989519209661411 absolute error = 2.309263891220326e-13 relative error = 4.628229282588459e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8666296674843109 y2[1] (numeric) = 0.8666296674844459 absolute error = 1.35003119794419e-13 relative error = 1.557794809705878e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.190999999999733 y1[1] (analytic) = 0.498085041967386 y1[1] (numeric) = 0.4980850419671553 absolute error = 2.307598556683388e-13 relative error = 4.632940888103374e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8671281860073211 y2[1] (numeric) = 0.8671281860074558 absolute error = 1.346700528870315e-13 relative error = 1.553058187476499e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.191999999999734 y1[1] (analytic) = 0.4972176648833995 y1[1] (numeric) = 0.4972176648831689 absolute error = 2.30593322214645e-13 relative error = 4.63767356835e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8676258374022177 y2[1] (numeric) = 0.8676258374023519 absolute error = 1.342259636771814e-13 relative error = 1.547048945419503e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.192999999999734 y1[1] (analytic) = 0.4963497905817896 y1[1] (numeric) = 0.4963497905815591 absolute error = 2.304267887609512e-13 relative error = 4.64242743994834e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8681226211713491 y2[1] (numeric) = 0.8681226211714829 absolute error = 1.337818744673314e-13 relative error = 1.541048133117656e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.193999999999734 y1[1] (analytic) = 0.4954814199304304 y1[1] (numeric) = 0.4954814199302002 absolute error = 2.302602553072575e-13 relative error = 4.647202620424956e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8686185368179317 y2[1] (numeric) = 0.868618536818065 absolute error = 1.333377852574813e-13 relative error = 1.535055719003494e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.194999999999735 y1[1] (analytic) = 0.4946125537976926 y1[1] (numeric) = 0.4946125537974626 absolute error = 2.300937218535637e-13 relative error = 4.651999228221713e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8691135838460498 y2[1] (numeric) = 0.8691135838461828 absolute error = 1.330047183500938e-13 relative error = 1.530349091559631e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.195999999999735 y1[1] (analytic) = 0.4937431930524422 y1[1] (numeric) = 0.4937431930522123 absolute error = 2.299271883998699e-13 relative error = 4.656817382704627e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8696077617606566 y2[1] (numeric) = 0.8696077617607891 absolute error = 1.325606291402437e-13 relative error = 1.524372653618616e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.196999999999735 y1[1] (analytic) = 0.49287333856404 y1[1] (numeric) = 0.4928733385638102 absolute error = 2.297606549461761e-13 relative error = 4.66165720417281e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.870101070067574 y2[1] (numeric) = 0.8701010700677062 absolute error = 1.322275622328561e-13 relative error = 1.51968049209027e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.197999999999736 y1[1] (analytic) = 0.4920029912023402 y1[1] (numeric) = 0.4920029912021106 absolute error = 2.295941214924824e-13 relative error = 4.666518813867535e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8705935082734938 y2[1] (numeric) = 0.8705935082736257 absolute error = 1.318944953254686e-13 relative error = 1.51499516217429e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.198999999999736 y1[1] (analytic) = 0.4911321518376902 y1[1] (numeric) = 0.4911321518374608 absolute error = 2.294275880387886e-13 relative error = 4.671402333981385e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8710850758859779 y2[1] (numeric) = 0.8710850758861094 absolute error = 1.314504061156185e-13 relative error = 1.509042110288949e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.199999999999736 y1[1] (analytic) = 0.4902608213409294 y1[1] (numeric) = 0.4902608213407 absolute error = 2.293165657363261e-13 relative error = 4.67744016560643e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8715757724134588 y2[1] (numeric) = 0.8715757724135899 absolute error = 1.310063169057685e-13 relative error = 1.503097275673487e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.200999999999737 y1[1] (analytic) = 0.489389000583388 y1[1] (numeric) = 0.4893890005831588 absolute error = 2.291500322826323e-13 relative error = 4.682369894081569e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8720655973652399 y2[1] (numeric) = 0.8720655973653705 absolute error = 1.305622276959184e-13 relative error = 1.497160627484725e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.201999999999737 y1[1] (analytic) = 0.4885166904368868 y1[1] (numeric) = 0.4885166904366578 absolute error = 2.289834988289385e-13 relative error = 4.687321913692563e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8725545502514963 y2[1] (numeric) = 0.8725545502516264 absolute error = 1.301181384860683e-13 relative error = 1.491232134983015e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.202999999999737 y1[1] (analytic) = 0.4876438917737359 y1[1] (numeric) = 0.487643891773507 absolute error = 2.28872476526476e-13 relative error = 4.693434704861875e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8730426305832751 y2[1] (numeric) = 0.8730426305834049 absolute error = 1.297850715786808e-13 relative error = 1.486583438565561e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.203999999999738 y1[1] (analytic) = 0.4867706054667338 y1[1] (numeric) = 0.4867706054665051 absolute error = 2.287059430727822e-13 relative error = 4.698433728418963e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8735298378724962 y2[1] (numeric) = 0.8735298378726255 absolute error = 1.293409823688307e-13 relative error = 1.480670456361788e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.204999999999738 y1[1] (analytic) = 0.4858968323891669 y1[1] (numeric) = 0.4858968323889384 absolute error = 2.285394096190885e-13 relative error = 4.703455433025864e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.874016171631952 y2[1] (numeric) = 0.874016171632081 absolute error = 1.290079154614432e-13 relative error = 1.47603579485905e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.205999999999738 y1[1] (analytic) = 0.4850225734148081 y1[1] (numeric) = 0.4850225734145797 absolute error = 2.283728761653947e-13 relative error = 4.708499947899999e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8745016313753091 y2[1] (numeric) = 0.8745016313754378 absolute error = 1.286748485540556e-13 relative error = 1.471407758859084e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.206999999999739 y1[1] (analytic) = 0.4841478294179162 y1[1] (numeric) = 0.484147829417688 absolute error = 2.282063427117009e-13 relative error = 4.713567403288166e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8749862166171077 y2[1] (numeric) = 0.8749862166172361 absolute error = 1.283417816466681e-13 relative error = 1.466786324279097e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.207999999999739 y1[1] (analytic) = 0.4832726012732353 y1[1] (numeric) = 0.4832726012730073 absolute error = 2.280398092580072e-13 relative error = 4.718657930476732e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8754699268727627 y2[1] (numeric) = 0.8754699268728906 absolute error = 1.27897692436818e-13 relative error = 1.460903321872827e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.208999999999739 y1[1] (analytic) = 0.4823968898559934 y1[1] (numeric) = 0.4823968898557656 absolute error = 2.278732758043134e-13 relative error = 4.72377166180194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8759527616585637 y2[1] (numeric) = 0.8759527616586912 absolute error = 1.27453603226968e-13 relative error = 1.45502827099537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.20999999999974 y1[1] (analytic) = 0.4815206960419018 y1[1] (numeric) = 0.4815206960416742 absolute error = 2.276512311993883e-13 relative error = 4.72775590064312e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.876434720491676 y2[1] (numeric) = 0.8764347204918032 absolute error = 1.271205363195804e-13 relative error = 1.450427890947387e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.21099999999974 y1[1] (analytic) = 0.4806440207071544 y1[1] (numeric) = 0.4806440207069269 absolute error = 2.275402088969258e-13 relative error = 4.734069271519368e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8769158028901409 y2[1] (numeric) = 0.8769158028902676 absolute error = 1.266764471097304e-13 relative error = 1.444567958431469e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.21199999999974 y1[1] (analytic) = 0.4797668647284262 y1[1] (numeric) = 0.4797668647281989 absolute error = 2.273181642920008e-13 relative error = 4.73809637563601e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.877396008372876 y2[1] (numeric) = 0.8773960083730022 absolute error = 1.262323578998803e-13 relative error = 1.438715889920416e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.212999999999741 y1[1] (analytic) = 0.4788892289828733 y1[1] (numeric) = 0.4788892289826462 absolute error = 2.27151630838307e-13 relative error = 4.743302147779789e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8778753364596759 y2[1] (numeric) = 0.8778753364598016 absolute error = 1.257882686900302e-13 relative error = 1.432871655755967e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.213999999999741 y1[1] (analytic) = 0.4780111143481314 y1[1] (numeric) = 0.4780111143479044 absolute error = 2.270406085358445e-13 relative error = 4.749693087062674e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8783537866712123 y2[1] (numeric) = 0.8783537866713378 absolute error = 1.254552017826427e-13 relative error = 1.428299207977382e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.214999999999741 y1[1] (analytic) = 0.4771325217023149 y1[1] (numeric) = 0.4771325217020881 absolute error = 2.268185639309195e-13 relative error = 4.75378544983007e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8788313585290354 y2[1] (numeric) = 0.8788313585291604 absolute error = 1.250111125727926e-13 relative error = 1.422469867052001e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.215999999999742 y1[1] (analytic) = 0.4762534519240165 y1[1] (numeric) = 0.4762534519237898 absolute error = 2.26707541628457e-13 relative error = 4.760228838501455e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8793080515555731 y2[1] (numeric) = 0.8793080515556978 absolute error = 1.246780456654051e-13 relative error = 1.417910883959708e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.216999999999742 y1[1] (analytic) = 0.4753739058923059 y1[1] (numeric) = 0.4753739058920793 absolute error = 2.265410081747632e-13 relative error = 4.7655330965113e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8797838652741327 y2[1] (numeric) = 0.8797838652742569 absolute error = 1.24233956455555e-13 relative error = 1.412096326827326e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.217999999999742 y1[1] (analytic) = 0.4744938844867289 y1[1] (numeric) = 0.4744938844865026 absolute error = 2.263189635698382e-13 relative error = 4.769691896338193e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8802587992089002 y2[1] (numeric) = 0.8802587992090241 absolute error = 1.239008895481675e-13 relative error = 1.407550707354687e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.218999999999743 y1[1] (analytic) = 0.4736133885873071 y1[1] (numeric) = 0.4736133885870809 absolute error = 2.261524301161444e-13 relative error = 4.77504301115117e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8807328528849417 y2[1] (numeric) = 0.8807328528850653 absolute error = 1.235678226407799e-13 relative error = 1.403011392569487e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.219999999999743 y1[1] (analytic) = 0.4727324190745361 y1[1] (numeric) = 0.4727324190743101 absolute error = 2.259858966624506e-13 relative error = 4.780418848888366e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.881206025828204 y2[1] (numeric) = 0.8812060258283271 absolute error = 1.231237334309299e-13 relative error = 1.397218469031821e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.220999999999743 y1[1] (analytic) = 0.4718509768293854 y1[1] (numeric) = 0.4718509768291596 absolute error = 2.258193632087568e-13 relative error = 4.785819555278995e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8816783175655137 y2[1] (numeric) = 0.8816783175656364 absolute error = 1.226796442210798e-13 relative error = 1.391433153985484e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.221999999999744 y1[1] (analytic) = 0.4709690627332972 y1[1] (numeric) = 0.4709690627330715 absolute error = 2.256528297550631e-13 relative error = 4.791245277247582e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8821497276245793 y2[1] (numeric) = 0.8821497276247017 absolute error = 1.223465773136923e-13 relative error = 1.386913961229038e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.222999999999744 y1[1] (analytic) = 0.4700866776681855 y1[1] (numeric) = 0.47008667766796 absolute error = 2.254862963013693e-13 relative error = 4.796696162926162e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8826202555339909 y2[1] (numeric) = 0.8826202555341128 absolute error = 1.219024881038422e-13 relative error = 1.381143105877288e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.223999999999744 y1[1] (analytic) = 0.4692038225164354 y1[1] (numeric) = 0.46920382251621 absolute error = 2.253752739989068e-13 relative error = 4.803355454143008e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8830899008232205 y2[1] (numeric) = 0.883089900823342 absolute error = 1.215694211964546e-13 relative error = 1.37663697753906e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.224999999999745 y1[1] (analytic) = 0.4683204981609018 y1[1] (numeric) = 0.4683204981606766 absolute error = 2.25208740545213e-13 relative error = 4.808859348023617e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8835586630226229 y2[1] (numeric) = 0.883558663022744 absolute error = 1.211253319866046e-13 relative error = 1.370880475239065e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.225999999999745 y1[1] (analytic) = 0.4674367054849091 y1[1] (numeric) = 0.4674367054846841 absolute error = 2.24986695940288e-13 relative error = 4.813201301915122e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8840265416634357 y2[1] (numeric) = 0.8840265416635565 absolute error = 1.20792265079217e-13 relative error = 1.366387312895915e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.226999999999745 y1[1] (analytic) = 0.4665524453722498 y1[1] (numeric) = 0.466552445372025 absolute error = 2.248201624865942e-13 relative error = 4.81875434833947e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8844935362777807 y2[1] (numeric) = 0.8844935362779012 absolute error = 1.204591981718295e-13 relative error = 1.361900265306162e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.227999999999746 y1[1] (analytic) = 0.4656677187071841 y1[1] (numeric) = 0.4656677187069594 absolute error = 2.246536290329004e-13 relative error = 4.824333317684076e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8849596463986631 y2[1] (numeric) = 0.8849596463987832 absolute error = 1.201261312644419e-13 relative error = 1.357419310058875e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.228999999999746 y1[1] (analytic) = 0.4647825263744385 y1[1] (numeric) = 0.464782526374214 absolute error = 2.244870955792067e-13 relative error = 4.829938365590689e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8854248715599728 y2[1] (numeric) = 0.8854248715600925 absolute error = 1.196820420545919e-13 relative error = 1.351690537490006e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.229999999999746 y1[1] (analytic) = 0.4638968692592051 y1[1] (numeric) = 0.4638968692589809 absolute error = 2.242650509742816e-13 relative error = 4.834373022012619e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8858892112964848 y2[1] (numeric) = 0.8858892112966041 absolute error = 1.193489751472043e-13 relative error = 1.34722235721258e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.230999999999747 y1[1] (analytic) = 0.4630107482471413 y1[1] (numeric) = 0.4630107482469172 absolute error = 2.240985175205878e-13 relative error = 4.84002840903751e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8863526651438592 y2[1] (numeric) = 0.8863526651439783 absolute error = 1.190159082398168e-13 relative error = 1.342760200540492e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.231999999999747 y1[1] (analytic) = 0.4621241642243678 y1[1] (numeric) = 0.4621241642241438 absolute error = 2.239319840668941e-13 relative error = 4.845710339400732e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8868152326386425 y2[1] (numeric) = 0.8868152326387611 absolute error = 1.185718190299667e-13 relative error = 1.337052123892442e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.232999999999747 y1[1] (analytic) = 0.4612371180774685 y1[1] (numeric) = 0.4612371180772447 absolute error = 2.237654506132003e-13 relative error = 4.851418973952073e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.887276913318267 y2[1] (numeric) = 0.8872769133183851 absolute error = 1.181277298201167e-13 relative error = 1.331351329522806e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.233999999999748 y1[1] (analytic) = 0.4603496106934896 y1[1] (numeric) = 0.460349610693266 absolute error = 2.235989171595065e-13 relative error = 4.857154474892852e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.887737706721052 y2[1] (numeric) = 0.8877377067211698 absolute error = 1.177946629127291e-13 relative error = 1.326908410230939e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.234999999999748 y1[1] (analytic) = 0.4594616429599383 y1[1] (numeric) = 0.4594616429597149 absolute error = 2.233768725545815e-13 relative error = 4.861708827651982e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8881976123862044 y2[1] (numeric) = 0.8881976123863218 absolute error = 1.17350573702879e-13 relative error = 1.321221449668262e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.235999999999748 y1[1] (analytic) = 0.4585732157647824 y1[1] (numeric) = 0.4585732157645592 absolute error = 2.23265850252119e-13 relative error = 4.868706731590698e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8886566298538183 y2[1] (numeric) = 0.8886566298539353 absolute error = 1.170175067954915e-13 relative error = 1.316791017636819e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.236999999999749 y1[1] (analytic) = 0.4576843299964489 y1[1] (numeric) = 0.4576843299962259 absolute error = 2.230438056471939e-13 relative error = 4.873310948813224e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8891147586648765 y2[1] (numeric) = 0.8891147586649931 absolute error = 1.165734175856414e-13 relative error = 1.311117788222207e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.237999999999749 y1[1] (analytic) = 0.4567949865438236 y1[1] (numeric) = 0.4567949865436007 absolute error = 2.228772721935002e-13 relative error = 4.879153203493357e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8895719983612501 y2[1] (numeric) = 0.8895719983613664 absolute error = 1.162403506782539e-13 relative error = 1.30669974878244e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.238999999999749 y1[1] (analytic) = 0.4559051862962498 y1[1] (numeric) = 0.4559051862960271 absolute error = 2.227107387398064e-13 relative error = 4.885023145911037e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8900283484856994 y2[1] (numeric) = 0.8900283484858154 absolute error = 1.159072837708663e-13 relative error = 1.302287550369287e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.23999999999975 y1[1] (analytic) = 0.4550149301435277 y1[1] (numeric) = 0.4550149301433052 absolute error = 2.225442052861126e-13 relative error = 4.890920946614089e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8904838085818745 y2[1] (numeric) = 0.8904838085819901 absolute error = 1.155742168634788e-13 relative error = 1.297881171444708e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.24099999999975 y1[1] (analytic) = 0.4541242189759134 y1[1] (numeric) = 0.4541242189756911 absolute error = 2.223776718324189e-13 relative error = 4.896846777604118e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8909383781943152 y2[1] (numeric) = 0.8909383781944303 absolute error = 1.151301276536287e-13 relative error = 1.292234462802754e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.24199999999975 y1[1] (analytic) = 0.453233053684118 y1[1] (numeric) = 0.4532330536838958 absolute error = 2.222111383787251e-13 relative error = 4.902800812351955e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8913920568684519 y2[1] (numeric) = 0.8913920568685667 absolute error = 1.147970607462412e-13 relative error = 1.287840292738692e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.242999999999751 y1[1] (analytic) = 0.4523414351593066 y1[1] (numeric) = 0.4523414351590846 absolute error = 2.219890937738001e-13 relative error = 4.907556030006835e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8918448441506061 y2[1] (numeric) = 0.8918448441507205 absolute error = 1.144639938388536e-13 relative error = 1.283451876070094e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.243999999999751 y1[1] (analytic) = 0.4514493642930977 y1[1] (numeric) = 0.451449364292876 absolute error = 2.21767049168875e-13 relative error = 4.912334952916128e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8922967395879904 y2[1] (numeric) = 0.8922967395881044 absolute error = 1.140199046290036e-13 relative error = 1.277824960804532e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.244999999999751 y1[1] (analytic) = 0.4505568419775622 y1[1] (numeric) = 0.4505568419773406 absolute error = 2.216005157151812e-13 relative error = 4.918369783100907e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8927477427287095 y2[1] (numeric) = 0.8927477427288231 absolute error = 1.135758154191535e-13 relative error = 1.272205013613428e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.245999999999752 y1[1] (analytic) = 0.4496638691052223 y1[1] (numeric) = 0.4496638691050009 absolute error = 2.214339822614875e-13 relative error = 4.924433504121975e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8931978531217601 y2[1] (numeric) = 0.8931978531218734 absolute error = 1.13242748511766e-13 relative error = 1.267834983212043e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.246999999999752 y1[1] (analytic) = 0.4487704465690507 y1[1] (numeric) = 0.4487704465688295 absolute error = 2.212119376565624e-13 relative error = 4.929289335957316e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8936470703170323 y2[1] (numeric) = 0.8936470703171451 absolute error = 1.127986593019159e-13 relative error = 1.262228267160314e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.247999999999752 y1[1] (analytic) = 0.44787657526247 y1[1] (numeric) = 0.4478765752622489 absolute error = 2.210454042028687e-13 relative error = 4.93540891423779e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8940953938653085 y2[1] (numeric) = 0.8940953938654209 absolute error = 1.124655923945284e-13 relative error = 1.257870168733593e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.248999999999753 y1[1] (analytic) = 0.4469822560793513 y1[1] (numeric) = 0.4469822560791304 absolute error = 2.208788707491749e-13 relative error = 4.941557919694311e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8945428233182653 y2[1] (numeric) = 0.8945428233183774 absolute error = 1.121325254871408e-13 relative error = 1.253517691542037e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.249999999999753 y1[1] (analytic) = 0.4460874899140138 y1[1] (numeric) = 0.4460874899137931 absolute error = 2.206568261442499e-13 relative error = 4.946492137378318e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8949893582284734 y2[1] (numeric) = 0.8949893582285852 absolute error = 1.117994585797533e-13 relative error = 1.249170814735129e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.250999999999753 y1[1] (analytic) = 0.4451922776612235 y1[1] (numeric) = 0.4451922776610031 absolute error = 2.204902926905561e-13 relative error = 4.952698053274451e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8954349981493978 y2[1] (numeric) = 0.8954349981495092 absolute error = 1.114663916723657e-13 relative error = 1.244829517527617e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.251999999999754 y1[1] (analytic) = 0.4442966202161927 y1[1] (numeric) = 0.4442966202159724 absolute error = 2.202682480856311e-13 relative error = 4.957684530178275e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8958797426353987 y2[1] (numeric) = 0.8958797426355097 absolute error = 1.110223024625157e-13 relative error = 1.239254524674514e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.252999999999754 y1[1] (analytic) = 0.4434005184745787 y1[1] (numeric) = 0.4434005184743586 absolute error = 2.20046203480706e-13 relative error = 4.962696124887862e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8963235912417317 y2[1] (numeric) = 0.8963235912418422 absolute error = 1.105782132526656e-13 relative error = 1.233686297372524e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.253999999999754 y1[1] (analytic) = 0.4425039733324831 y1[1] (numeric) = 0.4425039733322633 absolute error = 2.198796700270123e-13 relative error = 4.968987473063926e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.896766543524548 y2[1] (numeric) = 0.8967665435246582 absolute error = 1.10245146345278e-13 relative error = 1.229362838537477e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.254999999999755 y1[1] (analytic) = 0.4416069856864512 y1[1] (numeric) = 0.4416069856862315 absolute error = 2.197131365733185e-13 relative error = 4.975309351861538e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8972085990408956 y2[1] (numeric) = 0.8972085990410055 absolute error = 1.099120794378905e-13 relative error = 1.225044873125214e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.255999999999755 y1[1] (analytic) = 0.4407095564334703 y1[1] (numeric) = 0.4407095564332508 absolute error = 2.194910919683934e-13 relative error = 4.980402370773821e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8976497573487189 y2[1] (numeric) = 0.8976497573488285 absolute error = 1.09579012530503e-13 relative error = 1.220732380679893e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.256999999999755 y1[1] (analytic) = 0.4398116864709697 y1[1] (numeric) = 0.4398116864707504 absolute error = 2.193245585146997e-13 relative error = 4.986783327076882e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8980900180068596 y2[1] (numeric) = 0.8980900180069689 absolute error = 1.092459456231154e-13 relative error = 1.216425340808999e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.257999999999756 y1[1] (analytic) = 0.4389133766968193 y1[1] (numeric) = 0.4389133766966001 absolute error = 2.191580250610059e-13 relative error = 4.993195393367789e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8985293805750573 y2[1] (numeric) = 0.8985293805751661 absolute error = 1.088018564132653e-13 relative error = 1.210888133047273e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.258999999999756 y1[1] (analytic) = 0.4380146280093288 y1[1] (numeric) = 0.4380146280091098 absolute error = 2.189914916073121e-13 relative error = 4.999638770115414e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8989678446139491 y2[1] (numeric) = 0.8989678446140575 absolute error = 1.084687895058778e-13 relative error = 1.206592540053069e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.259999999999756 y1[1] (analytic) = 0.4371154413072467 y1[1] (numeric) = 0.437115441307028 absolute error = 2.187694470023871e-13 relative error = 5.004843716985393e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8994054096850713 y2[1] (numeric) = 0.8994054096851793 absolute error = 1.080247002960277e-13 relative error = 1.201067940361319e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.260999999999757 y1[1] (analytic) = 0.4362158174897598 y1[1] (numeric) = 0.4362158174895412 absolute error = 2.185474023974621e-13 relative error = 5.010075142508845e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.8998420753508588 y2[1] (numeric) = 0.8998420753509664 absolute error = 1.075806110861777e-13 relative error = 1.195549908512899e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.261999999999757 y1[1] (analytic) = 0.4353157574564918 y1[1] (numeric) = 0.4353157574562734 absolute error = 2.183808689437683e-13 relative error = 5.016608409025825e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9002778411746458 y2[1] (numeric) = 0.9002778411747531 absolute error = 1.072475441787901e-13 relative error = 1.191271619424265e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.262999999999757 y1[1] (analytic) = 0.4344152621075025 y1[1] (numeric) = 0.4344152621072843 absolute error = 2.182143354900745e-13 relative error = 5.02317378149744e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9007127067206668 y2[1] (numeric) = 0.9007127067207736 absolute error = 1.068034549689401e-13 relative error = 1.185766051394925e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.263999999999758 y1[1] (analytic) = 0.4335143323432874 y1[1] (numeric) = 0.4335143323430694 absolute error = 2.180478020363807e-13 relative error = 5.029771469325148e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.901146671554056 y2[1] (numeric) = 0.9011466715541625 absolute error = 1.064703880615525e-13 relative error = 1.181498988149631e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.264999999999758 y1[1] (analytic) = 0.432612969064776 y1[1] (numeric) = 0.4326129690645582 absolute error = 2.178257574314557e-13 relative error = 5.035118524124509e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9015797352408489 y2[1] (numeric) = 0.9015797352409549 absolute error = 1.060262988517024e-13 relative error = 1.17600578969733e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.265999999999758 y1[1] (analytic) = 0.4317111731733316 y1[1] (numeric) = 0.431711173173114 absolute error = 2.176037128265307e-13 relative error = 5.040492957988905e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9020118973479816 y2[1] (numeric) = 0.9020118973480873 absolute error = 1.056932319443149e-13 relative error = 1.171749865551276e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.266999999999759 y1[1] (analytic) = 0.4308089455707501 y1[1] (numeric) = 0.4308089455705327 absolute error = 2.173816682216057e-13 relative error = 5.045894948481424e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9024431574432921 y2[1] (numeric) = 0.9024431574433974 absolute error = 1.053601650369274e-13 relative error = 1.16749918449626e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.267999999999759 y1[1] (analytic) = 0.4299062871592588 y1[1] (numeric) = 0.4299062871590416 absolute error = 2.172151347679119e-13 relative error = 5.052615913184924e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9028735150955204 y2[1] (numeric) = 0.9028735150956253 absolute error = 1.049160758270773e-13 relative error = 1.162024071732546e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.268999999999759 y1[1] (analytic) = 0.4290031988415162 y1[1] (numeric) = 0.4290031988412992 absolute error = 2.169930901629868e-13 relative error = 5.058076274231912e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9033029698743088 y2[1] (numeric) = 0.9033029698744134 absolute error = 1.045830089196897e-13 relative error = 1.157784402438554e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.26999999999976 y1[1] (analytic) = 0.4280996815206106 y1[1] (numeric) = 0.4280996815203937 absolute error = 2.168265567092931e-13 relative error = 5.064861434587498e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9037315213502026 y2[1] (numeric) = 0.9037315213503069 absolute error = 1.042499420123022e-13 relative error = 1.153549915538517e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.27099999999976 y1[1] (analytic) = 0.4271957361000591 y1[1] (numeric) = 0.4271957360998424 absolute error = 2.166600232555993e-13 relative error = 5.071680378496393e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9041591690946504 y2[1] (numeric) = 0.9041591690947544 absolute error = 1.039168751049147e-13 relative error = 1.149320591516739e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.27199999999976 y1[1] (analytic) = 0.426291363483807 y1[1] (numeric) = 0.4262913634835906 absolute error = 2.164379786506743e-13 relative error = 5.07723114261253e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9045859126800044 y2[1] (numeric) = 0.904585912680108 absolute error = 1.035838081975271e-13 relative error = 1.145096410916247e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.272999999999761 y1[1] (analytic) = 0.4253865645762271 y1[1] (numeric) = 0.4253865645760108 absolute error = 2.162714451969805e-13 relative error = 5.084115559983225e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9050117516795212 y2[1] (numeric) = 0.9050117516796244 absolute error = 1.032507412901396e-13 relative error = 1.140877354338513e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.273999999999761 y1[1] (analytic) = 0.424481340282118 y1[1] (numeric) = 0.4244813402819019 absolute error = 2.160494005920555e-13 relative error = 5.089726687360747e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9054366856673617 y2[1] (numeric) = 0.9054366856674646 absolute error = 1.02917674382752e-13 relative error = 1.136663402443159e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.274999999999761 y1[1] (analytic) = 0.4235756915067039 y1[1] (numeric) = 0.4235756915064881 absolute error = 2.158273559871304e-13 relative error = 5.095366904068774e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9058607142185919 y2[1] (numeric) = 0.9058607142186945 absolute error = 1.025846074753645e-13 relative error = 1.132454535947675e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.275999999999762 y1[1] (analytic) = 0.4226696191556337 y1[1] (numeric) = 0.4226696191554181 absolute error = 2.156608225334367e-13 relative error = 5.102349749297379e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9062838369091835 y2[1] (numeric) = 0.9062838369092857 absolute error = 1.022515405679769e-13 relative error = 1.128250735627136e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.276999999999762 y1[1] (analytic) = 0.4217631241349796 y1[1] (numeric) = 0.4217631241347641 absolute error = 2.154387779285116e-13 relative error = 5.108051548374897e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9067060533160136 y2[1] (numeric) = 0.9067060533161155 absolute error = 1.019184736605894e-13 relative error = 1.124051982313917e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.277999999999762 y1[1] (analytic) = 0.4208562073512364 y1[1] (numeric) = 0.4208562073510212 absolute error = 2.152167333235866e-13 relative error = 5.113783034782992e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.907127363016866 y2[1] (numeric) = 0.9071273630169676 absolute error = 1.015854067532018e-13 relative error = 1.119858256897417e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.278999999999763 y1[1] (analytic) = 0.419948869711321 y1[1] (numeric) = 0.419948869711106 absolute error = 2.150501998698928e-13 relative error = 5.12086626206951e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.907547765590431 y2[1] (numeric) = 0.9075477655905322 absolute error = 1.011413175433518e-13 relative error = 1.114446218459382e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.279999999999763 y1[1] (analytic) = 0.4190411121225709 y1[1] (numeric) = 0.419041112122356 absolute error = 2.14883666416199e-13 relative error = 5.127985302629325e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9079672606163061 y2[1] (numeric) = 0.9079672606164069 absolute error = 1.008082506359642e-13 relative error = 1.11026305692496e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.280999999999763 y1[1] (analytic) = 0.4181329354927436 y1[1] (numeric) = 0.4181329354925289 absolute error = 2.14661621811274e-13 relative error = 5.133812804253478e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9083858476749961 y2[1] (numeric) = 0.9083858476750966 absolute error = 1.004751837285767e-13 relative error = 1.106084864551136e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.281999999999764 y1[1] (analytic) = 0.4172243407300155 y1[1] (numeric) = 0.4172243407298011 absolute error = 2.14439577206349e-13 relative error = 5.139670826278856e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9088035263479142 y2[1] (numeric) = 0.9088035263480143 absolute error = 1.001421168211891e-13 relative error = 1.10191162245614e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.282999999999764 y1[1] (analytic) = 0.4163153287429816 y1[1] (numeric) = 0.4163153287427673 absolute error = 2.142730437526552e-13 relative error = 5.146892966915946e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9092202962173817 y2[1] (numeric) = 0.9092202962174815 absolute error = 9.980904991380157e-14 relative error = 1.097743311813825e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.283999999999764 y1[1] (analytic) = 0.4154059004406536 y1[1] (numeric) = 0.4154059004404395 absolute error = 2.140509991477302e-13 relative error = 5.152815569559063e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9096361568666286 y2[1] (numeric) = 0.9096361568667282 absolute error = 9.958700530887654e-14 relative error = 1.094800427150106e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.284999999999765 y1[1] (analytic) = 0.4144960567324598 y1[1] (numeric) = 0.4144960567322459 absolute error = 2.138844656940364e-13 relative error = 5.160108575703293e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9100511078797946 y2[1] (numeric) = 0.9100511078798937 absolute error = 9.914291609902648e-14 relative error = 1.089421409859125e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.285999999999765 y1[1] (analytic) = 0.4135857985282437 y1[1] (numeric) = 0.4135857985280301 absolute error = 2.136624210891114e-13 relative error = 5.166096656351231e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9104651488419285 y2[1] (numeric) = 0.9104651488420273 absolute error = 9.880984919163893e-14 relative error = 1.085267781170105e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.286999999999765 y1[1] (analytic) = 0.4126751267382637 y1[1] (numeric) = 0.4126751267380502 absolute error = 2.134958876354176e-13 relative error = 5.173461490709758e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9108782793389895 y2[1] (numeric) = 0.9108782793390879 absolute error = 9.847678228425139e-14 relative error = 1.081119009179959e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.287999999999766 y1[1] (analytic) = 0.4117640422731912 y1[1] (numeric) = 0.411764042272978 absolute error = 2.132738430304926e-13 relative error = 5.17951596387799e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9112904989578469 y2[1] (numeric) = 0.9112904989579451 absolute error = 9.825473767932635e-14 relative error = 1.078193372933116e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.288999999999766 y1[1] (analytic) = 0.4108525460441109 y1[1] (numeric) = 0.4108525460438978 absolute error = 2.130517984255675e-13 relative error = 5.185602486267504e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9117018072862814 y2[1] (numeric) = 0.9117018072863793 absolute error = 9.792167077193881e-14 relative error = 1.07405370911139e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.289999999999766 y1[1] (analytic) = 0.4099406389625186 y1[1] (numeric) = 0.4099406389623058 absolute error = 2.128297538206425e-13 relative error = 5.191721278458118e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9121122039129845 y2[1] (numeric) = 0.9121122039130821 absolute error = 9.758860386455126e-14 relative error = 1.069918848206325e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.290999999999767 y1[1] (analytic) = 0.4090283219403217 y1[1] (numeric) = 0.409028321940109 absolute error = 2.126632203669487e-13 relative error = 5.199229710014478e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9125216884275599 y2[1] (numeric) = 0.912521688427657 absolute error = 9.71445146547012e-14 relative error = 1.06457211797452e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.291999999999767 y1[1] (analytic) = 0.4081155958898368 y1[1] (numeric) = 0.4081155958896244 absolute error = 2.124411757620237e-13 relative error = 5.205416747155338e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9129302604205227 y2[1] (numeric) = 0.9129302604206195 absolute error = 9.681144774731365e-14 relative error = 1.060447352273321e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.292999999999767 y1[1] (analytic) = 0.4072024617237901 y1[1] (numeric) = 0.4072024617235778 absolute error = 2.122746423083299e-13 relative error = 5.212999975729964e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9133379194833012 y2[1] (numeric) = 0.9133379194833977 absolute error = 9.64783808399261e-14 relative error = 1.056327332763173e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.293999999999768 y1[1] (analytic) = 0.4062889203553156 y1[1] (numeric) = 0.4062889203551035 absolute error = 2.120525977034049e-13 relative error = 5.219256225790175e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9137446652082364 y2[1] (numeric) = 0.9137446652083325 absolute error = 9.614531393253856e-14 relative error = 1.052212041212057e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.294999999999768 y1[1] (analytic) = 0.4053749726979545 y1[1] (numeric) = 0.4053749726977427 absolute error = 2.118305530984799e-13 relative error = 5.225545910953785e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9141504971885825 y2[1] (numeric) = 0.9141504971886782 absolute error = 9.570122472268849e-14 relative error = 1.04688697339237e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.295999999999768 y1[1] (analytic) = 0.4044606196656546 y1[1] (numeric) = 0.4044606196654429 absolute error = 2.116640196447861e-13 relative error = 5.233241738584021e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9145554150185076 y2[1] (numeric) = 0.914555415018603 absolute error = 9.547918011776346e-14 relative error = 1.043995569320764e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.296999999999769 y1[1] (analytic) = 0.4035458621727687 y1[1] (numeric) = 0.4035458621725573 absolute error = 2.114419750398611e-13 relative error = 5.239602108702508e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9149594182930939 y2[1] (numeric) = 0.9149594182931889 absolute error = 9.50350909079134e-14 relative error = 1.038680940464075e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.297999999999769 y1[1] (analytic) = 0.4026307011340542 y1[1] (numeric) = 0.402630701133843 absolute error = 2.11219930434936e-13 relative error = 5.245996637613862e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9153625066083382 y2[1] (numeric) = 0.9153625066084329 absolute error = 9.470202400052585e-14 relative error = 1.034584913811055e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.298999999999769 y1[1] (analytic) = 0.4017151374646722 y1[1] (numeric) = 0.4017151374644612 absolute error = 2.110533969812423e-13 relative error = 5.253807419686862e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.915764679561152 y2[1] (numeric) = 0.9157646795612464 absolute error = 9.436895709313831e-14 relative error = 1.030493523056178e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.29999999999977 y1[1] (analytic) = 0.4007991720801862 y1[1] (numeric) = 0.4007991720799754 absolute error = 2.108313523763172e-13 relative error = 5.260274148823268e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9161659367493628 y2[1] (numeric) = 0.9161659367494567 absolute error = 9.392486788328824e-14 relative error = 1.025194935936408e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.30099999999977 y1[1] (analytic) = 0.3998828058965615 y1[1] (numeric) = 0.3998828058963509 absolute error = 2.106093077713922e-13 relative error = 5.266775781949247e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.916566277771713 y2[1] (numeric) = 0.9165662777718065 absolute error = 9.35918009759007e-14 relative error = 1.02111329257535e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.30199999999977 y1[1] (analytic) = 0.3989660398301643 y1[1] (numeric) = 0.3989660398299538 absolute error = 2.104427743176984e-13 relative error = 5.27470394240276e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9169657022278619 y2[1] (numeric) = 0.916965702227955 absolute error = 9.314771176605063e-14 relative error = 1.015825472422128e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.302999999999771 y1[1] (analytic) = 0.3980488747977604 y1[1] (numeric) = 0.3980488747975502 absolute error = 2.102207297127734e-13 relative error = 5.281279335849945e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9173642097183849 y2[1] (numeric) = 0.9173642097184778 absolute error = 9.281464485866309e-14 relative error = 1.011753498505851e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.303999999999771 y1[1] (analytic) = 0.3971313117165149 y1[1] (numeric) = 0.3971313117163049 absolute error = 2.099986851078484e-13 relative error = 5.28789040078895e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9177617998447747 y2[1] (numeric) = 0.9177617998448672 absolute error = 9.248157795127554e-14 relative error = 1.007686068072537e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.304999999999771 y1[1] (analytic) = 0.3962133515039908 y1[1] (numeric) = 0.3962133515037811 absolute error = 2.097766405029233e-13 relative error = 5.294537392711017e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9181584722094411 y2[1] (numeric) = 0.9181584722095333 absolute error = 9.214851104388799e-14 relative error = 1.003623163462658e-11 % Correct digits = 12 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.305999999999772 y1[1] (analytic) = 0.3952949950781482 y1[1] (numeric) = 0.3952949950779387 absolute error = 2.095545958979983e-13 relative error = 5.301220569629782e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9185542264157118 y2[1] (numeric) = 0.9185542264158036 absolute error = 9.181544413650045e-14 relative error = 9.995647670663197e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.306999999999772 y1[1] (analytic) = 0.3943762433573435 y1[1] (numeric) = 0.3943762433571342 absolute error = 2.093325512930733e-13 relative error = 5.30794019211237e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9189490620678327 y2[1] (numeric) = 0.9189490620679241 absolute error = 9.14823772291129e-14 relative error = 9.955108613230194e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.307999999999772 y1[1] (analytic) = 0.3934570972603283 y1[1] (numeric) = 0.3934570972601192 absolute error = 2.091105066881482e-13 relative error = 5.314696523310943e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.919342978770968 y2[1] (numeric) = 0.9193429787710592 absolute error = 9.114931032172535e-14 relative error = 9.91461428721402e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.308999999999773 y1[1] (analytic) = 0.3925375577062486 y1[1] (numeric) = 0.3925375577060397 absolute error = 2.088884620832232e-13 relative error = 5.321489828994726e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9197359761312012 y2[1] (numeric) = 0.9197359761312921 absolute error = 9.092726571680032e-14 relative error = 9.886235623757906e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.309999999999773 y1[1] (analytic) = 0.3916176256146439 y1[1] (numeric) = 0.3916176256144352 absolute error = 2.086664174782982e-13 relative error = 5.3283203775825e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.920128053755535 y2[1] (numeric) = 0.9201280537556255 absolute error = 9.048317650695026e-14 relative error = 9.833759131420892e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.310999999999773 y1[1] (analytic) = 0.3906973019054463 y1[1] (numeric) = 0.3906973019052378 absolute error = 2.084443728733731e-13 relative error = 5.335188440175595e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9205192112518916 y2[1] (numeric) = 0.9205192112519818 absolute error = 9.015010959956271e-14 relative error = 9.793397953852585e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.311999999999774 y1[1] (analytic) = 0.3897765874989793 y1[1] (numeric) = 0.389776587498771 absolute error = 2.082223282684481e-13 relative error = 5.342094290591361e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9209094482291137 y2[1] (numeric) = 0.9209094482292035 absolute error = 8.981704269217516e-14 relative error = 9.753080812113627e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.312999999999774 y1[1] (analytic) = 0.3888554833159572 y1[1] (numeric) = 0.3888554833157492 absolute error = 2.080002836635231e-13 relative error = 5.349038205397154e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9212987642969642 y2[1] (numeric) = 0.9212987642970538 absolute error = 8.959499808725013e-14 relative error = 9.724858163206087e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.313999999999774 y1[1] (analytic) = 0.3879339902774843 y1[1] (numeric) = 0.3879339902772765 absolute error = 2.07778239058598e-13 relative error = 5.35602046394483e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9216871590661273 y2[1] (numeric) = 0.9216871590662166 absolute error = 8.926193117986259e-14 relative error = 9.68462349744621e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.314999999999775 y1[1] (analytic) = 0.3870121093050534 y1[1] (numeric) = 0.3870121093048458 absolute error = 2.07556194453673e-13 relative error = 5.363041348405758e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9220746321482082 y2[1] (numeric) = 0.9220746321482971 absolute error = 8.892886427247504e-14 relative error = 9.644432367181879e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.315999999999775 y1[1] (analytic) = 0.3860898413205454 y1[1] (numeric) = 0.3860898413203381 absolute error = 2.07334149848748e-13 relative error = 5.370101143806367e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9224611831557337 y2[1] (numeric) = 0.9224611831558223 absolute error = 8.859579736508749e-14 relative error = 9.604284601114796e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.316999999999775 y1[1] (analytic) = 0.3851671872462283 y1[1] (numeric) = 0.3851671872460212 absolute error = 2.07112105243823e-13 relative error = 5.377200138064228e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9228468117021529 y2[1] (numeric) = 0.9228468117022411 absolute error = 8.826273045769994e-14 relative error = 9.564180028416956e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.317999999999776 y1[1] (analytic) = 0.3842441480047561 y1[1] (numeric) = 0.3842441480045492 absolute error = 2.068900606388979e-13 relative error = 5.384338622024689e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9232315174018373 y2[1] (numeric) = 0.9232315174019252 absolute error = 8.79296635503124e-14 relative error = 9.524118478728336e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.318999999999776 y1[1] (analytic) = 0.3833207245191679 y1[1] (numeric) = 0.3833207245189612 absolute error = 2.066680160339729e-13 relative error = 5.391516889498065e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9236152998700813 y2[1] (numeric) = 0.9236152998701689 absolute error = 8.759659664292485e-14 relative error = 9.48409978215459e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.319999999999776 y1[1] (analytic) = 0.3823969177128871 y1[1] (numeric) = 0.3823969177126806 absolute error = 2.064459714290479e-13 relative error = 5.398735237297402e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9239981587231023 y2[1] (numeric) = 0.9239981587231896 absolute error = 8.72635297355373e-14 relative error = 9.444123769264768e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.320999999999777 y1[1] (analytic) = 0.3814727285097204 y1[1] (numeric) = 0.3814727285095142 absolute error = 2.062239268241228e-13 relative error = 5.405993965276812e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9243800935780417 y2[1] (numeric) = 0.9243800935781286 absolute error = 8.681944052568724e-14 relative error = 9.392179810972684e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.321999999999777 y1[1] (analytic) = 0.380548157833857 y1[1] (numeric) = 0.380548157833651 absolute error = 2.060018822191978e-13 relative error = 5.413293376370406e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9247611040529645 y2[1] (numeric) = 0.924761104053051 absolute error = 8.648637361829969e-14 relative error = 9.352293607425156e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.322999999999777 y1[1] (analytic) = 0.3796232066098676 y1[1] (numeric) = 0.3796232066096618 absolute error = 2.05835348765504e-13 relative error = 5.422096046331476e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9251411897668603 y2[1] (numeric) = 0.9251411897669465 absolute error = 8.615330671091215e-14 relative error = 9.312449565954702e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.323999999999778 y1[1] (analytic) = 0.3786978757627031 y1[1] (numeric) = 0.3786978757624975 absolute error = 2.055577930093477e-13 relative error = 5.428015475274355e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9255203503396434 y2[1] (numeric) = 0.9255203503397292 absolute error = 8.58202398035246e-14 relative error = 9.272647518990875e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.324999999999778 y1[1] (analytic) = 0.3777721662176944 y1[1] (numeric) = 0.3777721662174891 absolute error = 2.053357484044227e-13 relative error = 5.435438784711741e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9258985853921533 y2[1] (numeric) = 0.9258985853922388 absolute error = 8.548717289613705e-14 relative error = 9.232887299415193e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.325999999999778 y1[1] (analytic) = 0.376846078900551 y1[1] (numeric) = 0.3768460789003459 absolute error = 2.050581926482664e-13 relative error = 5.441430974856472e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.926275894546155 y2[1] (numeric) = 0.9262758945462402 absolute error = 8.515410598874951e-14 relative error = 9.193168740558908e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.326999999999779 y1[1] (analytic) = 0.3759196147373601 y1[1] (numeric) = 0.3759196147371552 absolute error = 2.048916591945726e-13 relative error = 5.450411501877128e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9266522774243393 y2[1] (numeric) = 0.9266522774244241 absolute error = 8.482103908136196e-14 relative error = 9.153491676200791e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.327999999999779 y1[1] (analytic) = 0.3749927746545858 y1[1] (numeric) = 0.3749927746543811 absolute error = 2.046696145896476e-13 relative error = 5.457961550810501e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9270277336503234 y2[1] (numeric) = 0.9270277336504079 absolute error = 8.448797217397441e-14 relative error = 9.113855940564927e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.328999999999779 y1[1] (analytic) = 0.3740655595790681 y1[1] (numeric) = 0.3740655595788636 absolute error = 2.044475699847226e-13 relative error = 5.465554493035532e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9274022628486511 y2[1] (numeric) = 0.9274022628487353 absolute error = 8.415490526658687e-14 relative error = 9.074261368318514e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.32999999999978 y1[1] (analytic) = 0.3731379704380219 y1[1] (numeric) = 0.3731379704378177 absolute error = 2.042255253797975e-13 relative error = 5.473190657602061e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9277758646447933 y2[1] (numeric) = 0.9277758646448772 absolute error = 8.382183835919932e-14 relative error = 9.034707794569673e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.33099999999978 y1[1] (analytic) = 0.3722100081590365 y1[1] (numeric) = 0.3722100081588325 absolute error = 2.040034807748725e-13 relative error = 5.480870377018629e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9281485386651481 y2[1] (numeric) = 0.9281485386652316 absolute error = 8.348877145181177e-14 relative error = 8.995195054865281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.33199999999978 y1[1] (analytic) = 0.3712816736700739 y1[1] (numeric) = 0.3712816736698701 absolute error = 2.037814361699475e-13 relative error = 5.488593987297917e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9285202845370416 y2[1] (numeric) = 0.9285202845371248 absolute error = 8.315570454442422e-14 relative error = 8.955722985188793e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.332999999999781 y1[1] (analytic) = 0.3703529678994685 y1[1] (numeric) = 0.370352967899265 absolute error = 2.035593915650225e-13 relative error = 5.496361828002906e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.928891101888728 y2[1] (numeric) = 0.9288911018888107 absolute error = 8.271161533457416e-14 relative error = 8.904339288684691e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.333999999999781 y1[1] (analytic) = 0.3694238917759262 y1[1] (numeric) = 0.3694238917757228 absolute error = 2.033373469600974e-13 relative error = 5.50417424229377e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9292609903493898 y2[1] (numeric) = 0.9292609903494723 absolute error = 8.248957072964913e-14 relative error = 8.876900202023347e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.334999999999781 y1[1] (analytic) = 0.3684944462285228 y1[1] (numeric) = 0.3684944462283197 absolute error = 2.031153023551724e-13 relative error = 5.512031576975516e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9296299495491388 y2[1] (numeric) = 0.929629949549221 absolute error = 8.215650382226158e-14 relative error = 8.83754916266485e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.335999999999782 y1[1] (analytic) = 0.3675646321867039 y1[1] (numeric) = 0.367564632186501 absolute error = 2.028932577502474e-13 relative error = 5.519934182546379e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9299979791190157 y2[1] (numeric) = 0.9299979791190975 absolute error = 8.182343691487404e-14 relative error = 8.798238141590924e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.336999999999782 y1[1] (analytic) = 0.3666344505802834 y1[1] (numeric) = 0.3666344505800808 absolute error = 2.026712131453223e-13 relative error = 5.527882413246995e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9303650786909909 y2[1] (numeric) = 0.9303650786910724 absolute error = 8.149037000748649e-14 relative error = 8.758966976935782e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.337999999999782 y1[1] (analytic) = 0.3657039023394429 y1[1] (numeric) = 0.3657039023392405 absolute error = 2.024491685403973e-13 relative error = 5.535876627110363e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.930731247897965 y2[1] (numeric) = 0.9307312478980462 absolute error = 8.115730310009894e-14 relative error = 8.71973550725742e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.338999999999783 y1[1] (analytic) = 0.3647729883947306 y1[1] (numeric) = 0.3647729883945284 absolute error = 2.022271239354723e-13 relative error = 5.543917186012602e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9310964863737687 y2[1] (numeric) = 0.9310964863738496 absolute error = 8.08242361927114e-14 relative error = 8.680543571535532e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.339999999999783 y1[1] (analytic) = 0.3638417096770603 y1[1] (numeric) = 0.3638417096768582 absolute error = 2.020050793305472e-13 relative error = 5.552004455724538e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9314607937531637 y2[1] (numeric) = 0.9314607937532442 absolute error = 8.049116928532385e-14 relative error = 8.641391009169404e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.340999999999783 y1[1] (analytic) = 0.3629100671177106 y1[1] (numeric) = 0.3629100671175088 absolute error = 2.017830347256222e-13 relative error = 5.560138805964109e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9318241696718426 y2[1] (numeric) = 0.9318241696719227 absolute error = 8.01581023779363e-14 relative error = 8.602277659975843e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.341999999999784 y1[1] (analytic) = 0.361978061648324 y1[1] (numeric) = 0.3619780616481225 absolute error = 2.015609901206972e-13 relative error = 5.568320610449636e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9321866137664293 y2[1] (numeric) = 0.9321866137665092 absolute error = 7.993605777301127e-14 relative error = 8.575113243692237e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.342999999999784 y1[1] (analytic) = 0.3610456942009059 y1[1] (numeric) = 0.3610456942007046 absolute error = 2.012834343645409e-13 relative error = 5.575012736546737e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9325481256744801 y2[1] (numeric) = 0.9325481256745597 absolute error = 7.960299086562372e-14 relative error = 8.53607322496623e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.343999999999784 y1[1] (analytic) = 0.3601129657078238 y1[1] (numeric) = 0.3601129657076227 absolute error = 2.011169009108471e-13 relative error = 5.584828097359385e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9329087050344829 y2[1] (numeric) = 0.9329087050345621 absolute error = 7.926992395823618e-14 relative error = 8.497071956821986e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.344999999999785 y1[1] (analytic) = 0.3591798771018059 y1[1] (numeric) = 0.359179877101605 absolute error = 2.008948563059221e-13 relative error = 5.59315454771372e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9332683514858583 y2[1] (numeric) = 0.9332683514859373 absolute error = 7.904787935331115e-14 relative error = 8.470005355636337e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.345999999999785 y1[1] (analytic) = 0.3582464293159409 y1[1] (numeric) = 0.3582464293157402 absolute error = 2.006173005497658e-13 relative error = 5.599980464085506e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9336270646689601 y2[1] (numeric) = 0.9336270646690388 absolute error = 7.87148124459236e-14 relative error = 8.431076542734312e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.346999999999785 y1[1] (analytic) = 0.3573126232836764 y1[1] (numeric) = 0.357312623283476 absolute error = 2.003952559448408e-13 relative error = 5.608401239878493e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.933984844225075 y2[1] (numeric) = 0.9339848442251534 absolute error = 7.838174553853605e-14 relative error = 8.392186021344832e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.347999999999786 y1[1] (analytic) = 0.3563784599388184 y1[1] (numeric) = 0.3563784599386182 absolute error = 2.00228722491147e-13 relative error = 5.618429422629006e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9343416897964235 y2[1] (numeric) = 0.9343416897965016 absolute error = 7.80486786311485e-14 relative error = 8.353333634096315e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.348999999999786 y1[1] (analytic) = 0.3554439402155301 y1[1] (numeric) = 0.3554439402153302 absolute error = 1.999511667349907e-13 relative error = 5.62539247718632e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9346976010261601 y2[1] (numeric) = 0.9346976010262378 absolute error = 7.771561172376096e-14 relative error = 8.314519224018622e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.349999999999786 y1[1] (analytic) = 0.3545090650483313 y1[1] (numeric) = 0.3545090650481316 absolute error = 1.997291221300657e-13 relative error = 5.633963749356761e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9350525775583735 y2[1] (numeric) = 0.9350525775584508 absolute error = 7.738254481637341e-14 relative error = 8.275742634541058e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.350999999999787 y1[1] (analytic) = 0.3535738353720969 y1[1] (numeric) = 0.3535738353718975 absolute error = 1.994515663739094e-13 relative error = 5.641016003461028e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9354066190380873 y2[1] (numeric) = 0.9354066190381644 absolute error = 7.704947790898586e-14 relative error = 8.237003709490386e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.351999999999787 y1[1] (analytic) = 0.3526382521220567 y1[1] (numeric) = 0.3526382521218575 absolute error = 1.992295217689843e-13 relative error = 5.649685494131424e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9357597251112599 y2[1] (numeric) = 0.9357597251113368 absolute error = 7.682743330406083e-14 relative error = 8.210166695828484e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.352999999999787 y1[1] (analytic) = 0.3517023162337937 y1[1] (numeric) = 0.3517023162335947 absolute error = 1.989519660128281e-13 relative error = 5.656828426474592e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9361118954247856 y2[1] (numeric) = 0.9361118954248621 absolute error = 7.649436639667329e-14 relative error = 8.171498169239901e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.353999999999788 y1[1] (analytic) = 0.3507660286432437 y1[1] (numeric) = 0.350766028643045 absolute error = 1.98729921407903e-13 relative error = 5.665597725543335e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9364631296264937 y2[1] (numeric) = 0.9364631296265699 absolute error = 7.616129948928574e-14 relative error = 8.132866856131592e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.354999999999788 y1[1] (analytic) = 0.3498293902866944 y1[1] (numeric) = 0.3498293902864959 absolute error = 1.98507876802978e-13 relative error = 5.674419654686405e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9368134273651503 y2[1] (numeric) = 0.9368134273652261 absolute error = 7.582823258189819e-14 relative error = 8.094272601874432e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.355999999999788 y1[1] (analytic) = 0.348892402100784 y1[1] (numeric) = 0.3488924021005857 absolute error = 1.98285832198053e-13 relative error = 5.683294649127225e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9371627882904575 y2[1] (numeric) = 0.937162788290533 absolute error = 7.549516567451064e-14 relative error = 8.055715252227046e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.356999999999789 y1[1] (analytic) = 0.3479550650225005 y1[1] (numeric) = 0.3479550650223024 absolute error = 1.980082764418967e-13 relative error = 5.690627794973828e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9375112120530545 y2[1] (numeric) = 0.9375112120531298 absolute error = 7.527312106958561e-14 relative error = 8.029036890635698e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.357999999999789 y1[1] (analytic) = 0.3470173799891809 y1[1] (numeric) = 0.3470173799889832 absolute error = 1.977307206857404e-13 relative error = 5.698006269654422e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9378586983045177 y2[1] (numeric) = 0.9378586983045927 absolute error = 7.494005416219807e-14 relative error = 7.990548501354884e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.358999999999789 y1[1] (analytic) = 0.3460793479385104 y1[1] (numeric) = 0.3460793479383129 absolute error = 1.975086760808153e-13 relative error = 5.707034449102918e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9382052466973607 y2[1] (numeric) = 0.9382052466974353 absolute error = 7.460698725481052e-14 relative error = 7.952096571346151e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.35999999999979 y1[1] (analytic) = 0.3451409698085207 y1[1] (numeric) = 0.3451409698083234 absolute error = 1.972311203246591e-13 relative error = 5.714509072454658e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9385508568850353 y2[1] (numeric) = 0.9385508568851095 absolute error = 7.427392034742297e-14 relative error = 7.913680947874401e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.36099999999979 y1[1] (analytic) = 0.3442022465375899 y1[1] (numeric) = 0.344202246537393 absolute error = 1.969535645685028e-13 relative error = 5.722030188637764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.938895528521931 y2[1] (numeric) = 0.938895528522005 absolute error = 7.394085344003543e-14 relative error = 7.875301478582799e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.36199999999979 y1[1] (analytic) = 0.3432631790644413 y1[1] (numeric) = 0.3432631790642446 absolute error = 1.967315199635777e-13 relative error = 5.731215346189083e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9392392612633765 y2[1] (numeric) = 0.9392392612634501 absolute error = 7.360778653264788e-14 relative error = 7.836958011490872e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.362999999999791 y1[1] (analytic) = 0.3423237683281423 y1[1] (numeric) = 0.3423237683279458 absolute error = 1.965094753586527e-13 relative error = 5.740456653605311e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9395820547656391 y2[1] (numeric) = 0.9395820547657123 absolute error = 7.327471962526033e-14 relative error = 7.798650394992625e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.363999999999791 y1[1] (analytic) = 0.3413840152681034 y1[1] (numeric) = 0.3413840152679071 absolute error = 1.962874307537277e-13 relative error = 5.749754586475726e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9399239086859251 y2[1] (numeric) = 0.9399239086859981 absolute error = 7.294165271787278e-14 relative error = 7.760378477854656e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.364999999999791 y1[1] (analytic) = 0.3404439208240778 y1[1] (numeric) = 0.3404439208238817 absolute error = 1.960653861488026e-13 relative error = 5.759109625873396e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9402648226823809 y2[1] (numeric) = 0.9402648226824535 absolute error = 7.260858581048524e-14 relative error = 7.722142109214294e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.365999999999792 y1[1] (analytic) = 0.3395034859361596 y1[1] (numeric) = 0.3395034859359638 absolute error = 1.958433415438776e-13 relative error = 5.768522258434308e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9406047964140922 y2[1] (numeric) = 0.9406047964141645 absolute error = 7.227551890309769e-14 relative error = 7.683941138577725e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.366999999999792 y1[1] (analytic) = 0.3385627115447838 y1[1] (numeric) = 0.3385627115445883 absolute error = 1.955657857877213e-13 relative error = 5.776353364356033e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9409438295410856 y2[1] (numeric) = 0.9409438295411575 absolute error = 7.194245199571014e-14 relative error = 7.645775415818149e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.367999999999792 y1[1] (analytic) = 0.3376215985907248 y1[1] (numeric) = 0.3376215985905294 absolute error = 1.953437411827963e-13 relative error = 5.785878095423568e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9412819217243278 y2[1] (numeric) = 0.9412819217243994 absolute error = 7.16093850883226e-14 relative error = 7.607644791173921e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.368999999999793 y1[1] (analytic) = 0.3366801480150952 y1[1] (numeric) = 0.3366801480149001 absolute error = 1.951216965778713e-13 relative error = 5.79546188654767e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9416190726257267 y2[1] (numeric) = 0.941619072625798 absolute error = 7.127631818093505e-14 relative error = 7.569549115246718e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.369999999999793 y1[1] (analytic) = 0.3357383607593457 y1[1] (numeric) = 0.3357383607591508 absolute error = 1.948996519729462e-13 relative error = 5.805105247197194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9419552819081315 y2[1] (numeric) = 0.9419552819082025 absolute error = 7.105427357601002e-14 relative error = 7.543274605570917e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.370999999999793 y1[1] (analytic) = 0.3347962377652634 y1[1] (numeric) = 0.3347962377650688 absolute error = 1.946220962167899e-13 relative error = 5.813150635021349e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9422905492353328 y2[1] (numeric) = 0.9422905492354036 absolute error = 7.072120666862247e-14 relative error = 7.505244186733339e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.371999999999794 y1[1] (analytic) = 0.3338537799749712 y1[1] (numeric) = 0.3338537799747769 absolute error = 1.943445404606337e-13 relative error = 5.821247268046614e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9426248742720635 y2[1] (numeric) = 0.9426248742721339 absolute error = 7.038813976123492e-14 relative error = 7.467248285336386e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.372999999999794 y1[1] (analytic) = 0.3329109883309269 y1[1] (numeric) = 0.3329109883307328 absolute error = 1.941224958557086e-13 relative error = 5.831063036668019e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9429582566839985 y2[1] (numeric) = 0.9429582566840685 absolute error = 7.005507285384738e-14 relative error = 7.429286753392737e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.373999999999794 y1[1] (analytic) = 0.331967863775922 y1[1] (numeric) = 0.3319678637757281 absolute error = 1.939004512507836e-13 relative error = 5.840940416499658e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9432906961377553 y2[1] (numeric) = 0.943290696137825 absolute error = 6.972200594645983e-14 relative error = 7.39135944326942e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.374999999999795 y1[1] (analytic) = 0.331024407253081 y1[1] (numeric) = 0.3310244072528873 absolute error = 1.936228954946273e-13 relative error = 5.849202996883402e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9436221923008945 y2[1] (numeric) = 0.943622192300964 absolute error = 6.94999613415348e-14 relative error = 7.365231753618319e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.375999999999795 y1[1] (analytic) = 0.3300806197058603 y1[1] (numeric) = 0.3300806197056669 absolute error = 1.934008508897023e-13 relative error = 5.8592004299448e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9439527448419202 y2[1] (numeric) = 0.9439527448419893 absolute error = 6.916689443414725e-14 relative error = 7.327368325596674e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.376999999999795 y1[1] (analytic) = 0.3291365020780474 y1[1] (numeric) = 0.3291365020778542 absolute error = 1.931788062847772e-13 relative error = 5.869261083626913e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9442823534302797 y2[1] (numeric) = 0.9442823534303485 absolute error = 6.883382752675971e-14 relative error = 7.289538693242348e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.377999999999796 y1[1] (analytic) = 0.3281920553137599 y1[1] (numeric) = 0.3281920553135669 absolute error = 1.929567616798522e-13 relative error = 5.879385516976657e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9446110177363644 y2[1] (numeric) = 0.9446110177364329 absolute error = 6.850076061937216e-14 relative error = 7.251742710298382e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.378999999999796 y1[1] (analytic) = 0.3272472803574444 y1[1] (numeric) = 0.3272472803572517 absolute error = 1.926792059236959e-13 relative error = 5.887877989795271e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.94493873743151 y2[1] (numeric) = 0.9449387374315782 absolute error = 6.816769371198461e-14 relative error = 7.213980230853374e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y1[1] (analytic) = 0.3263021781538758 y1[1] (numeric) = 0.3263021781536833 absolute error = 1.924571613187709e-13 relative error = 5.898126773398767e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.945265512187997 y2[1] (numeric) = 0.9452655121880649 absolute error = 6.783462680459706e-14 relative error = 7.176251109339735e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.380999999999797 y1[1] (analytic) = 0.3253567496481563 y1[1] (numeric) = 0.325356749647964 absolute error = 1.922351167138459e-13 relative error = 5.908441024252014e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9455913416790506 y2[1] (numeric) = 0.9455913416791182 absolute error = 6.761258219967203e-14 relative error = 7.150296245269647e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.381999999999797 y1[1] (analytic) = 0.3244109957857141 y1[1] (numeric) = 0.3244109957855222 absolute error = 1.919575609576896e-13 relative error = 5.917110192050483e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9459162255788413 y2[1] (numeric) = 0.9459162255789085 absolute error = 6.727951529228449e-14 relative error = 7.112629371709282e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.382999999999798 y1[1] (analytic) = 0.3234649175123033 y1[1] (numeric) = 0.3234649175121116 absolute error = 1.917355163527645e-13 relative error = 5.927552138493401e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9462401635624852 y2[1] (numeric) = 0.9462401635625521 absolute error = 6.694644838489694e-14 relative error = 7.074995435920969e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.383999999999798 y1[1] (analytic) = 0.3225185157740019 y1[1] (numeric) = 0.3225185157738105 absolute error = 1.914579605966082e-13 relative error = 5.936340124136265e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9465631553060445 y2[1] (numeric) = 0.9465631553061111 absolute error = 6.661338147750939e-14 relative error = 7.03739429367202e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.384999999999798 y1[1] (analytic) = 0.3215717915172117 y1[1] (numeric) = 0.3215717915170204 absolute error = 1.912359159916832e-13 relative error = 5.946912043789998e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9468852004865272 y2[1] (numeric) = 0.9468852004865936 absolute error = 6.639133687258436e-14 relative error = 7.011550802406803e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.385999999999799 y1[1] (analytic) = 0.3206247456886566 y1[1] (numeric) = 0.3206247456884657 absolute error = 1.909583602355269e-13 relative error = 5.955821027643246e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9472062987818886 y2[1] (numeric) = 0.9472062987819546 absolute error = 6.605826996519681e-14 relative error = 6.974010841159739e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.386999999999799 y1[1] (analytic) = 0.3196773792353826 y1[1] (numeric) = 0.3196773792351919 absolute error = 1.907363156306019e-13 relative error = 5.966525253892308e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9475264498710299 y2[1] (numeric) = 0.9475264498710957 absolute error = 6.583622536027178e-14 relative error = 6.948220323478348e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.387999999999799 y1[1] (analytic) = 0.3187296931047561 y1[1] (numeric) = 0.3187296931045656 absolute error = 1.905142710256769e-13 relative error = 5.977299107901473e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9478456534338003 y2[1] (numeric) = 0.9478456534338658 absolute error = 6.550315845288424e-14 relative error = 6.910741027886048e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.3889999999998 y1[1] (analytic) = 0.317781688244463 y1[1] (numeric) = 0.3177816882442727 absolute error = 1.902922264207518e-13 relative error = 5.988143227257447e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9481639091509964 y2[1] (numeric) = 0.9481639091510615 absolute error = 6.517009154549669e-14 relative error = 6.873293838388259e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.3899999999998 y1[1] (analytic) = 0.3168333656025081 y1[1] (numeric) = 0.316833365602318 absolute error = 1.900701818158268e-13 relative error = 5.999058257465362e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9484812167043623 y2[1] (numeric) = 0.9484812167044271 absolute error = 6.483702463810914e-14 relative error = 6.835878612693559e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.3909999999998 y1[1] (analytic) = 0.315884726127214 y1[1] (numeric) = 0.3158847261270242 absolute error = 1.897926260596705e-13 relative error = 6.008287529015781e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9487975757765905 y2[1] (numeric) = 0.948797575776655 absolute error = 6.450395773072159e-14 relative error = 6.798495208835786e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.391999999999801 y1[1] (analytic) = 0.3149357707672201 y1[1] (numeric) = 0.3149357707670306 absolute error = 1.895150703035142e-13 relative error = 6.017578436448598e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.949112986051322 y2[1] (numeric) = 0.9491129860513863 absolute error = 6.428191312579656e-14 relative error = 6.772840965250538e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.392999999999801 y1[1] (analytic) = 0.3139865004714817 y1[1] (numeric) = 0.3139865004712924 absolute error = 1.892930256985892e-13 relative error = 6.028699495498916e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9494274472131465 y2[1] (numeric) = 0.9494274472132105 absolute error = 6.394884621840902e-14 relative error = 6.735516906122527e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.393999999999801 y1[1] (analytic) = 0.3130369161892689 y1[1] (numeric) = 0.3130369161890799 absolute error = 1.890154699424329e-13 relative error = 6.0381207508494e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.949740958947603 y2[1] (numeric) = 0.9497409589476666 absolute error = 6.361577931102147e-14 relative error = 6.69822425911939e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.394999999999802 y1[1] (analytic) = 0.3120870188701662 y1[1] (numeric) = 0.3120870188699774 absolute error = 1.887934253375079e-13 relative error = 6.049384111552853e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9500535209411797 y2[1] (numeric) = 0.950053520941243 absolute error = 6.328271240363392e-14 relative error = 6.660962883537582e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.395999999999802 y1[1] (analytic) = 0.3111368094640705 y1[1] (numeric) = 0.3111368094638819 absolute error = 1.885158695813516e-13 relative error = 6.058938185618988e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9503651328813146 y2[1] (numeric) = 0.9503651328813776 absolute error = 6.294964549624638e-14 relative error = 6.623732638990637e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.396999999999802 y1[1] (analytic) = 0.3101862889211912 y1[1] (numeric) = 0.310186288921003 absolute error = 1.882383138251953e-13 relative error = 6.06855688173312e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9506757944563958 y2[1] (numeric) = 0.9506757944564584 absolute error = 6.261657858885883e-14 relative error = 6.586533385407535e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.397999999999803 y1[1] (analytic) = 0.309235458192049 y1[1] (numeric) = 0.3092354581918609 absolute error = 1.880162692202703e-13 relative error = 6.080035915658281e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9509855053557618 y2[1] (numeric) = 0.9509855053558242 absolute error = 6.23945339839338e-14 relative error = 6.561039430416148e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.398999999999803 y1[1] (analytic) = 0.3082843182274742 y1[1] (numeric) = 0.3082843182272865 absolute error = 1.87738713464114e-13 relative error = 6.089791220764817e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9512942652697016 y2[1] (numeric) = 0.9512942652697637 absolute error = 6.206146707654625e-14 relative error = 6.523897950646343e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.399999999999803 y1[1] (analytic) = 0.307332869978607 y1[1] (numeric) = 0.3073328699784195 absolute error = 1.875166688591889e-13 relative error = 6.101419248524954e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9516020738894555 y2[1] (numeric) = 0.9516020738895172 absolute error = 6.17284001691587e-14 relative error = 6.486787057625674e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.400999999999804 y1[1] (analytic) = 0.3063811143968954 y1[1] (numeric) = 0.3063811143967081 absolute error = 1.872391131030327e-13 relative error = 6.111313795290836e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9519089309072147 y2[1] (numeric) = 0.9519089309072762 absolute error = 6.150635556423367e-14 relative error = 6.461369734772335e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.401999999999804 y1[1] (analytic) = 0.3054290524340948 y1[1] (numeric) = 0.3054290524339079 absolute error = 1.869615573468764e-13 relative error = 6.121276147665054e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9522148360161224 y2[1] (numeric) = 0.9522148360161836 absolute error = 6.117328865684613e-14 relative error = 6.424315852164518e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.402999999999804 y1[1] (analytic) = 0.3044766850422674 y1[1] (numeric) = 0.3044766850420807 absolute error = 1.866840015907201e-13 relative error = 6.131306952609677e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9525197889102734 y2[1] (numeric) = 0.9525197889103344 absolute error = 6.095124405192109e-14 relative error = 6.398947797363048e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.403999999999805 y1[1] (analytic) = 0.3035240131737802 y1[1] (numeric) = 0.3035240131735938 absolute error = 1.864064458345638e-13 relative error = 6.141406865487056e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9528237892847149 y2[1] (numeric) = 0.9528237892847756 absolute error = 6.072919944699606e-14 relative error = 6.373602352286511e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.404999999999805 y1[1] (analytic) = 0.3025710377813052 y1[1] (numeric) = 0.3025710377811191 absolute error = 1.861288900784075e-13 relative error = 6.151576550196428e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9531268368354465 y2[1] (numeric) = 0.9531268368355069 absolute error = 6.039613253960852e-14 relative error = 6.336631202215919e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.405999999999805 y1[1] (analytic) = 0.3016177598178177 y1[1] (numeric) = 0.3016177598176318 absolute error = 1.859068454734825e-13 relative error = 6.163657126350033e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9534289312594207 y2[1] (numeric) = 0.9534289312594808 absolute error = 6.006306563222097e-14 relative error = 6.299689852381694e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.406999999999806 y1[1] (analytic) = 0.3006641802365954 y1[1] (numeric) = 0.3006641802364098 absolute error = 1.856292897173262e-13 relative error = 6.173974218387198e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9537300722545431 y2[1] (numeric) = 0.9537300722546029 absolute error = 5.984102102729594e-14 relative error = 6.274419017305018e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.407999999999806 y1[1] (analytic) = 0.299710299991218 y1[1] (numeric) = 0.2997102999910326 absolute error = 1.853517339611699e-13 relative error = 6.184363165583599e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9540302595196728 y2[1] (numeric) = 0.9540302595197323 absolute error = 5.950795411990839e-14 relative error = 6.237533194163984e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.408999999999806 y1[1] (analytic) = 0.2987561200355655 y1[1] (numeric) = 0.2987561200353804 absolute error = 1.851296893562449e-13 relative error = 6.196682743577137e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9543294927546223 y2[1] (numeric) = 0.9543294927546816 absolute error = 5.928590951498336e-14 relative error = 6.212310314738118e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y1[1] (analytic) = 0.2978016413238179 y1[1] (numeric) = 0.297801641323633 absolute error = 1.848521336000886e-13 relative error = 6.207223465202046e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9546277716601587 y2[1] (numeric) = 0.9546277716602177 absolute error = 5.906386491005833e-14 relative error = 6.18710943296176e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.410999999999807 y1[1] (analytic) = 0.2968468648104538 y1[1] (numeric) = 0.2968468648102692 absolute error = 1.846300889951635e-13 relative error = 6.219708236199689e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.954925095938003 y2[1] (numeric) = 0.9549250959380617 absolute error = 5.873079800267078e-14 relative error = 6.150304170714117e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.411999999999807 y1[1] (analytic) = 0.2958917914502496 y1[1] (numeric) = 0.2958917914500652 absolute error = 1.843525332390072e-13 relative error = 6.230403768061398e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9552214652908309 y2[1] (numeric) = 0.9552214652908894 absolute error = 5.850875339774575e-14 relative error = 6.125150608914753e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.412999999999808 y1[1] (analytic) = 0.2949364221982786 y1[1] (numeric) = 0.2949364221980945 absolute error = 1.84074977482851e-13 relative error = 6.241174830523367e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.955516879422273 y2[1] (numeric) = 0.9555168794223313 absolute error = 5.828670879282072e-14 relative error = 6.100018748811865e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.413999999999808 y1[1] (analytic) = 0.29398075800991 y1[1] (numeric) = 0.2939807580097262 absolute error = 1.838529328779259e-13 relative error = 6.253910430142107e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9558113380369155 y2[1] (numeric) = 0.9558113380369735 absolute error = 5.795364188543317e-14 relative error = 6.063292992993862e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.414999999999808 y1[1] (analytic) = 0.2930247998408079 y1[1] (numeric) = 0.2930247998406244 absolute error = 1.835753771217696e-13 relative error = 6.264840969825794e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9561048408402996 y2[1] (numeric) = 0.9561048408403572 absolute error = 5.762057497804562e-14 relative error = 6.026595883292899e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.415999999999809 y1[1] (analytic) = 0.2920685486469304 y1[1] (numeric) = 0.2920685486467471 absolute error = 1.832978213656133e-13 relative error = 6.275849358473532e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9563973875389223 y2[1] (numeric) = 0.9563973875389797 absolute error = 5.739853037312059e-14 relative error = 6.001535671361781e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.416999999999809 y1[1] (analytic) = 0.2911120053845285 y1[1] (numeric) = 0.2911120053843455 absolute error = 1.830202656094571e-13 relative error = 6.286936375836044e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9566889778402374 y2[1] (numeric) = 0.9566889778402945 absolute error = 5.706546346573305e-14 relative error = 5.964891912370575e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.417999999999809 y1[1] (analytic) = 0.2901551710101456 y1[1] (numeric) = 0.2901551710099628 absolute error = 1.82798221004532e-13 relative error = 6.300015966220374e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9569796114526543 y2[1] (numeric) = 0.9569796114527112 absolute error = 5.684341886080801e-14 relative error = 5.939877734126658e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.41899999999981 y1[1] (analytic) = 0.2891980464806158 y1[1] (numeric) = 0.2891980464804333 absolute error = 1.824651540971445e-13 relative error = 6.309349468907103e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9572692880855395 y2[1] (numeric) = 0.9572692880855961 absolute error = 5.662137425588298e-14 relative error = 5.914884657912834e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.41999999999981 y1[1] (analytic) = 0.2882406327530636 y1[1] (numeric) = 0.2882406327528814 absolute error = 1.822431094922194e-13 relative error = 6.322603019274785e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9575580074492164 y2[1] (numeric) = 0.9575580074492727 absolute error = 5.628830734849544e-14 relative error = 5.878318275301004e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.42099999999981 y1[1] (analytic) = 0.2872829307849027 y1[1] (numeric) = 0.2872829307847207 absolute error = 1.819655537360632e-13 relative error = 6.334018983964843e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9578457692549656 y2[1] (numeric) = 0.9578457692550216 absolute error = 5.606626274357041e-14 relative error = 5.853370609673417e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.421999999999811 y1[1] (analytic) = 0.2863249415338349 y1[1] (numeric) = 0.2863249415336532 absolute error = 1.816879979799069e-13 relative error = 6.345517683741039e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9581325732150254 y2[1] (numeric) = 0.9581325732150812 absolute error = 5.573319583618286e-14 relative error = 5.816856392760915e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.422999999999811 y1[1] (analytic) = 0.2853666659578495 y1[1] (numeric) = 0.2853666659576681 absolute error = 1.814659533749818e-13 relative error = 6.359045222254007e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9584184190425918 y2[1] (numeric) = 0.9584184190426474 absolute error = 5.551115123125783e-14 relative error = 5.791953715446168e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.423999999999811 y1[1] (analytic) = 0.2844081050152219 y1[1] (numeric) = 0.2844081050150407 absolute error = 1.811883976188255e-13 relative error = 6.370718500062721e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9587033064518191 y2[1] (numeric) = 0.9587033064518743 absolute error = 5.517808432387028e-14 relative error = 5.755491188205611e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.424999999999812 y1[1] (analytic) = 0.283449259664513 y1[1] (numeric) = 0.283449259664332 absolute error = 1.809663530139005e-13 relative error = 6.384435550408212e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9589872351578198 y2[1] (numeric) = 0.9589872351578748 absolute error = 5.495603971894525e-14 relative error = 5.730633078750123e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.425999999999812 y1[1] (analytic) = 0.282490130864568 y1[1] (numeric) = 0.2824901308643873 absolute error = 1.806887972577442e-13 relative error = 6.396287073985264e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9592702048766653 y2[1] (numeric) = 0.9592702048767199 absolute error = 5.46229728115577e-14 relative error = 5.69422176711729e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.426999999999812 y1[1] (analytic) = 0.2815307195745158 y1[1] (numeric) = 0.2815307195743353 absolute error = 1.804112415015879e-13 relative error = 6.408225779916588e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9595522153253857 y2[1] (numeric) = 0.9595522153254401 absolute error = 5.440092820663267e-14 relative error = 5.669407806868043e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.427999999999813 y1[1] (analytic) = 0.2805710267537673 y1[1] (numeric) = 0.2805710267535872 absolute error = 1.801336857454316e-13 relative error = 6.420252576668198e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9598332662219708 y2[1] (numeric) = 0.959833266222025 absolute error = 5.417888360170764e-14 relative error = 5.644614070833656e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.428999999999813 y1[1] (analytic) = 0.2796110533620156 y1[1] (numeric) = 0.2796110533618357 absolute error = 1.799116411405066e-13 relative error = 6.434353684422231e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9601133572853697 y2[1] (numeric) = 0.9601133572854237 absolute error = 5.395683899678261e-14 relative error = 5.619840468560972e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.429999999999813 y1[1] (analytic) = 0.2786508003592337 y1[1] (numeric) = 0.2786508003590541 absolute error = 1.796340853843503e-13 relative error = 6.446566281265581e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9603924882354914 y2[1] (numeric) = 0.960392488235545 absolute error = 5.362377208939506e-14 relative error = 5.583526812867609e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.430999999999814 y1[1] (analytic) = 0.2776902687056748 y1[1] (numeric) = 0.2776902687054954 absolute error = 1.79356529628194e-13 relative error = 6.458869821552691e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9606706587932048 y2[1] (numeric) = 0.9606706587932582 absolute error = 5.340172748447003e-14 relative error = 5.558796554851933e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.431999999999814 y1[1] (analytic) = 0.2767294593618702 y1[1] (numeric) = 0.2767294593616911 absolute error = 1.790789738720377e-13 relative error = 6.471265266986337e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9609478686803395 y2[1] (numeric) = 0.9609478686803926 absolute error = 5.306866057708248e-14 relative error = 5.522532731141926e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.432999999999814 y1[1] (analytic) = 0.2757683732886294 y1[1] (numeric) = 0.2757683732884506 absolute error = 1.788014181158815e-13 relative error = 6.483753593046775e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9612241176196856 y2[1] (numeric) = 0.9612241176197385 absolute error = 5.284661597215745e-14 relative error = 5.497845403944239e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.433999999999815 y1[1] (analytic) = 0.2748070114470382 y1[1] (numeric) = 0.2748070114468597 absolute error = 1.785793735109564e-13 relative error = 6.498355794148756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9614994053349941 y2[1] (numeric) = 0.9614994053350467 absolute error = 5.262457136723242e-14 relative error = 5.4731777341971e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.434999999999815 y1[1] (analytic) = 0.2738453747984585 y1[1] (numeric) = 0.2738453747982802 absolute error = 1.782463066035689e-13 relative error = 6.509012859346356e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9617737315509776 y2[1] (numeric) = 0.9617737315510299 absolute error = 5.229150445984487e-14 relative error = 5.43698613763535e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.435999999999815 y1[1] (analytic) = 0.2728834643045269 y1[1] (numeric) = 0.2728834643043488 absolute error = 1.780242619986439e-13 relative error = 6.523820065549153e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9620470959933095 y2[1] (numeric) = 0.9620470959933616 absolute error = 5.206945985491984e-14 relative error = 5.412360795201855e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.436999999999816 y1[1] (analytic) = 0.2719212809271536 y1[1] (numeric) = 0.2719212809269759 absolute error = 1.777467062424876e-13 relative error = 6.536697151338627e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9623194983886256 y2[1] (numeric) = 0.9623194983886775 absolute error = 5.184741524999481e-14 relative error = 5.387754829535483e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.437999999999816 y1[1] (analytic) = 0.2709588256285221 y1[1] (numeric) = 0.2709588256283446 absolute error = 1.774691504863313e-13 relative error = 6.549672263845619e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9625909384645236 y2[1] (numeric) = 0.9625909384645751 absolute error = 5.151434834260726e-14 relative error = 5.351634456977161e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.438999999999816 y1[1] (analytic) = 0.2699960993710875 y1[1] (numeric) = 0.2699960993709103 absolute error = 1.77191594730175e-13 relative error = 6.562746467186536e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9628614159495632 y2[1] (numeric) = 0.9628614159496145 absolute error = 5.129230373768223e-14 relative error = 5.327070218832929e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y1[1] (analytic) = 0.2690331031175761 y1[1] (numeric) = 0.2690331031173992 absolute error = 1.769140389740187e-13 relative error = 6.575920841113058e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9631309305732672 y2[1] (numeric) = 0.9631309305733182 absolute error = 5.10702591327572e-14 relative error = 5.302525078533151e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.440999999999817 y1[1] (analytic) = 0.268069837830984 y1[1] (numeric) = 0.2680698378308073 absolute error = 1.766364832178624e-13 relative error = 6.58919648130016e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9633994820661209 y2[1] (numeric) = 0.9633994820661717 absolute error = 5.073719222536965e-14 relative error = 5.266474932761839e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.441999999999817 y1[1] (analytic) = 0.2671063044745764 y1[1] (numeric) = 0.2671063044744 absolute error = 1.764144386129374e-13 relative error = 6.6046527415353e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9636670701595728 y2[1] (numeric) = 0.9636670701596233 absolute error = 5.051514762044462e-14 relative error = 5.241970923846123e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.442999999999818 y1[1] (analytic) = 0.2661425040118865 y1[1] (numeric) = 0.2661425040117104 absolute error = 1.761368828567811e-13 relative error = 6.618141792523091e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9639336945860347 y2[1] (numeric) = 0.963933694586085 absolute error = 5.029310301551959e-14 relative error = 5.217485735584559e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.443999999999818 y1[1] (analytic) = 0.2651784374067149 y1[1] (numeric) = 0.265178437406539 absolute error = 1.758593271006248e-13 relative error = 6.631735552121918e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9641993550788825 y2[1] (numeric) = 0.9641993550789325 absolute error = 4.996003610813204e-14 relative error = 5.181504825217887e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.444999999999818 y1[1] (analytic) = 0.2642141056231279 y1[1] (numeric) = 0.2642141056229523 absolute error = 1.755817713444685e-13 relative error = 6.64543518334772e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9644640513724556 y2[1] (numeric) = 0.9644640513725052 absolute error = 4.96269692007445e-14 relative error = 5.145548880761717e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.445999999999819 y1[1] (analytic) = 0.2632495096254573 y1[1] (numeric) = 0.263249509625282 absolute error = 1.753042155883122e-13 relative error = 6.659241866688725e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9647277832020577 y2[1] (numeric) = 0.9647277832021071 absolute error = 4.940492459581947e-14 relative error = 5.121125923401736e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.446999999999819 y1[1] (analytic) = 0.2622846503782991 y1[1] (numeric) = 0.262284650378124 absolute error = 1.750266598321559e-13 relative error = 6.673156800434606e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9649905503039569 y2[1] (numeric) = 0.964990550304006 absolute error = 4.918287999089443e-14 relative error = 5.096721410940511e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.447999999999819 y1[1] (analytic) = 0.2613195288465123 y1[1] (numeric) = 0.2613195288463375 absolute error = 1.747491040759996e-13 relative error = 6.687181201013097e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9652523524153862 y2[1] (numeric) = 0.9652523524154352 absolute error = 4.89608353859694e-14 relative error = 5.072335256521563e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.44899999999982 y1[1] (analytic) = 0.2603541459952184 y1[1] (numeric) = 0.2603541459950439 absolute error = 1.744715483198434e-13 relative error = 6.701316303334292e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9655131892745435 y2[1] (numeric) = 0.9655131892745923 absolute error = 4.873879078104437e-14 relative error = 5.047967373461276e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.44999999999982 y1[1] (analytic) = 0.2593885027898002 y1[1] (numeric) = 0.2593885027896261 absolute error = 1.741939925636871e-13 relative error = 6.715563361142805e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9657730606205921 y2[1] (numeric) = 0.9657730606206406 absolute error = 4.851674617611934e-14 relative error = 5.023617675247969e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.45099999999982 y1[1] (analytic) = 0.2584226001959009 y1[1] (numeric) = 0.258422600195727 absolute error = 1.739164368075308e-13 relative error = 6.729923647378014e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9660319661936605 y2[1] (numeric) = 0.9660319661937088 absolute error = 4.829470157119431e-14 relative error = 4.999286075540969e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.451999999999821 y1[1] (analytic) = 0.2574564391794229 y1[1] (numeric) = 0.2574564391792493 absolute error = 1.736388810513745e-13 relative error = 6.744398454542616e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9662899057348432 y2[1] (numeric) = 0.9662899057348913 absolute error = 4.807265696626928e-14 relative error = 4.97497248816969e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.452999999999821 y1[1] (analytic) = 0.2564900207065272 y1[1] (numeric) = 0.2564900207063538 absolute error = 1.734168364464495e-13 relative error = 6.761153356717566e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9665468789862006 y2[1] (numeric) = 0.9665468789862485 absolute error = 4.785061236134425e-14 relative error = 4.950676827132708e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.453999999999821 y1[1] (analytic) = 0.2555233457436322 y1[1] (numeric) = 0.255523345743459 absolute error = 1.731392806902932e-13 relative error = 6.77586935105353e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9668028856907597 y2[1] (numeric) = 0.9668028856908073 absolute error = 4.762856775641922e-14 relative error = 4.926399006596845e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.454999999999822 y1[1] (analytic) = 0.2545564152574127 y1[1] (numeric) = 0.2545564152572398 absolute error = 1.728617249341369e-13 relative error = 6.790703929395594e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9670579255925137 y2[1] (numeric) = 0.967057925592561 absolute error = 4.729550084903167e-14 relative error = 4.890658521830928e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.455999999999822 y1[1] (analytic) = 0.2535892302147991 y1[1] (numeric) = 0.2535892302146265 absolute error = 1.725841691779806e-13 relative error = 6.805658467112173e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9673119984364226 y2[1] (numeric) = 0.9673119984364696 absolute error = 4.707345624410664e-14 relative error = 4.866419140897339e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.456999999999822 y1[1] (analytic) = 0.2526217915829765 y1[1] (numeric) = 0.2526217915828042 absolute error = 1.723066134218243e-13 relative error = 6.820734361122137e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9675651039684137 y2[1] (numeric) = 0.9675651039684605 absolute error = 4.685141163918161e-14 relative error = 4.842197330910673e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.457999999999823 y1[1] (analytic) = 0.2516541003293833 y1[1] (numeric) = 0.2516541003292113 absolute error = 1.72029057665668e-13 relative error = 6.835933030318352e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9678172419353814 y2[1] (numeric) = 0.9678172419354281 absolute error = 4.662936703425657e-14 relative error = 4.817993006717883e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.458999999999823 y1[1] (analytic) = 0.2506861574217108 y1[1] (numeric) = 0.2506861574215391 absolute error = 1.716959907582805e-13 relative error = 6.849041547573326e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9680684120851879 y2[1] (numeric) = 0.9680684120852343 absolute error = 4.640732242933154e-14 relative error = 4.793806083329553e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.459999999999823 y1[1] (analytic) = 0.2497179638279018 y1[1] (numeric) = 0.2497179638277303 absolute error = 1.714461905777398e-13 relative error = 6.865593005391292e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.968318614166663 y2[1] (numeric) = 0.9683186141667092 absolute error = 4.618527782440651e-14 relative error = 4.769636475918999e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.460999999999824 y1[1] (analytic) = 0.2487495205161497 y1[1] (numeric) = 0.2487495205159785 absolute error = 1.711408792459679e-13 relative error = 6.880048608369351e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9685678479296046 y2[1] (numeric) = 0.9685678479296504 absolute error = 4.585221091701897e-14 relative error = 4.734021577841132e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.461999999999824 y1[1] (analytic) = 0.2477808284548978 y1[1] (numeric) = 0.247780828454727 absolute error = 1.708633234898116e-13 relative error = 6.895744297703521e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.968816113124779 y2[1] (numeric) = 0.9688161131248245 absolute error = 4.551914400963142e-14 relative error = 4.698429701258361e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.462999999999824 y1[1] (analytic) = 0.2468118886128382 y1[1] (numeric) = 0.2468118886126676 absolute error = 1.706135233092709e-13 relative error = 6.912694695064065e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9690634095039209 y2[1] (numeric) = 0.9690634095039663 absolute error = 4.54081217071689e-14 relative error = 4.68577404345646e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.463999999999825 y1[1] (analytic) = 0.2458427019589105 y1[1] (numeric) = 0.2458427019587401 absolute error = 1.703359675531146e-13 relative error = 6.92865666525192e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9693097368197342 y2[1] (numeric) = 0.9693097368197793 absolute error = 4.507505479978136e-14 relative error = 4.650222017543203e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.464999999999825 y1[1] (analytic) = 0.2448732694623013 y1[1] (numeric) = 0.2448732694621312 absolute error = 1.700584117969584e-13 relative error = 6.944751959671906e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9695550948258913 y2[1] (numeric) = 0.9695550948259363 absolute error = 4.496403249731884e-14 relative error = 4.637594370580178e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.465999999999825 y1[1] (analytic) = 0.2439035920924431 y1[1] (numeric) = 0.2439035920922733 absolute error = 1.697808560408021e-13 relative error = 6.960982189079553e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9697994832770345 y2[1] (numeric) = 0.9697994832770792 absolute error = 4.474198789239381e-14 relative error = 4.613529772278992e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.466999999999826 y1[1] (analytic) = 0.242933670819013 y1[1] (numeric) = 0.2429336708188435 absolute error = 1.695033002846458e-13 relative error = 6.97734899049571e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9700429019287752 y2[1] (numeric) = 0.9700429019288197 absolute error = 4.451994328746878e-14 relative error = 4.589481887754448e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.467999999999826 y1[1] (analytic) = 0.2419635066119325 y1[1] (numeric) = 0.2419635066117632 absolute error = 1.692257445284895e-13 relative error = 6.993854027743872e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9702853505376948 y2[1] (numeric) = 0.970285350537739 absolute error = 4.418687638008123e-14 relative error = 4.55400840130118e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.468999999999826 y1[1] (analytic) = 0.2409931004413654 y1[1] (numeric) = 0.2409931004411965 absolute error = 1.689204331967176e-13 relative error = 7.009347275392914e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9705268288613448 y2[1] (numeric) = 0.9705268288613886 absolute error = 4.385380947269368e-14 relative error = 4.518557155616653e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y1[1] (analytic) = 0.2400224532777181 y1[1] (numeric) = 0.2400224532775494 absolute error = 1.686706330161769e-13 relative error = 7.027285602360563e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9707673366582467 y2[1] (numeric) = 0.9707673366582903 absolute error = 4.363176486776865e-14 relative error = 4.494564580012128e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.470999999999827 y1[1] (analytic) = 0.2390515660916374 y1[1] (numeric) = 0.239051566091469 absolute error = 1.68365321684405e-13 relative error = 7.043054535767579e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9710068736878928 y2[1] (numeric) = 0.9710068736879363 absolute error = 4.340972026284362e-14 relative error = 4.470588359274236e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.471999999999827 y1[1] (analytic) = 0.2380804398540106 y1[1] (numeric) = 0.2380804398538425 absolute error = 1.680877659282487e-13 relative error = 7.060124974202798e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9712454397107463 y2[1] (numeric) = 0.9712454397107895 absolute error = 4.318767565791859e-14 relative error = 4.446628410505652e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.472999999999828 y1[1] (analytic) = 0.2371090755359637 y1[1] (numeric) = 0.2371090755357959 absolute error = 1.678102101720924e-13 relative error = 7.077342349413346e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9714830344882409 y2[1] (numeric) = 0.9714830344882839 absolute error = 4.296563105299356e-14 relative error = 4.422684650960173e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.473999999999828 y1[1] (analytic) = 0.2361374741088611 y1[1] (numeric) = 0.2361374741086936 absolute error = 1.675326544159361e-13 relative error = 7.094708497589093e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.971719657782782 y2[1] (numeric) = 0.9717196577828248 absolute error = 4.274358644806853e-14 relative error = 4.398756998041859e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.474999999999828 y1[1] (analytic) = 0.235165636544304 y1[1] (numeric) = 0.2351656365441368 absolute error = 1.672273430841642e-13 relative error = 7.111045029432241e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9719553093577463 y2[1] (numeric) = 0.9719553093577888 absolute error = 4.25215418431435e-14 relative error = 4.374845369304181e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.475999999999829 y1[1] (analytic) = 0.23419356381413 y1[1] (numeric) = 0.2341935638139631 absolute error = 1.669497873280079e-13 relative error = 7.128709457639459e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9721899889774822 y2[1] (numeric) = 0.9721899889775245 absolute error = 4.229949723821846e-14 relative error = 4.350949682449179e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.476999999999829 y1[1] (analytic) = 0.2332212568904117 y1[1] (numeric) = 0.2332212568902451 absolute error = 1.666722315718516e-13 relative error = 7.146528313676364e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9724236964073102 y2[1] (numeric) = 0.9724236964073523 absolute error = 4.207745263329343e-14 relative error = 4.327069855326607e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.477999999999829 y1[1] (analytic) = 0.232248716745456 y1[1] (numeric) = 0.2322487167452896 absolute error = 1.663946758156953e-13 relative error = 7.16450356098473e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9726564314135228 y2[1] (numeric) = 0.9726564314135646 absolute error = 4.18554080283684e-14 relative error = 4.303205805933099e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.47899999999983 y1[1] (analytic) = 0.2312759443518028 y1[1] (numeric) = 0.2312759443516367 absolute error = 1.66117120059539e-13 relative error = 7.182637196666326e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.972888193763385 y2[1] (numeric) = 0.9728881937634266 absolute error = 4.163336342344337e-14 relative error = 4.279357452411328e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.47999999999983 y1[1] (analytic) = 0.2303029406822246 y1[1] (numeric) = 0.2303029406820588 absolute error = 1.658395643033828e-13 relative error = 7.200931252207093e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9731189832251346 y2[1] (numeric) = 0.9731189832251759 absolute error = 4.130029651605582e-14 relative error = 4.244115799609353e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.48099999999983 y1[1] (analytic) = 0.2293297067097249 y1[1] (numeric) = 0.2293297067095593 absolute error = 1.655620085472265e-13 relative error = 7.219387794220105e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9733487995679819 y2[1] (numeric) = 0.973348799568023 absolute error = 4.107825191113079e-14 relative error = 4.220301286585369e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.481999999999831 y1[1] (analytic) = 0.2283562434075376 y1[1] (numeric) = 0.2283562434073723 absolute error = 1.652566972154546e-13 relative error = 7.236793474506761e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.973577642562111 y2[1] (numeric) = 0.9735776425621517 absolute error = 4.074518500374325e-14 relative error = 4.185098673436705e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.482999999999831 y1[1] (analytic) = 0.2273825517491259 y1[1] (numeric) = 0.2273825517489609 absolute error = 1.649791414592983e-13 relative error = 7.255576128872099e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9738055119786785 y2[1] (numeric) = 0.973805511978719 absolute error = 4.052314039881821e-14 relative error = 4.161317624551038e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.483999999999831 y1[1] (analytic) = 0.2264086327081814 y1[1] (numeric) = 0.2264086327080167 absolute error = 1.64701585703142e-13 relative error = 7.274527642036787e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9740324075898151 y2[1] (numeric) = 0.9740324075898554 absolute error = 4.030109579389318e-14 relative error = 4.137551839123693e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.484999999999832 y1[1] (analytic) = 0.2254344872586231 y1[1] (numeric) = 0.2254344872584587 absolute error = 1.643962743713701e-13 relative error = 7.292419024724078e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9742583291686254 y2[1] (numeric) = 0.9742583291686655 absolute error = 4.007905118896815e-14 relative error = 4.113801236184375e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.485999999999832 y1[1] (analytic) = 0.2244601163745963 y1[1] (numeric) = 0.2244601163744321 absolute error = 1.641187186152138e-13 relative error = 7.311709593045023e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9744832764891878 y2[1] (numeric) = 0.9744832764892276 absolute error = 3.985700658404312e-14 relative error = 4.090065734902876e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.486999999999832 y1[1] (analytic) = 0.2234855210304718 y1[1] (numeric) = 0.2234855210303079 absolute error = 1.638411628590575e-13 relative error = 7.331175733604598e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9747072493265547 y2[1] (numeric) = 0.9747072493265944 absolute error = 3.963496197911809e-14 relative error = 4.066345254588257e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.487999999999833 y1[1] (analytic) = 0.2225107022008449 y1[1] (numeric) = 0.2225107022006813 absolute error = 1.635636071029012e-13 relative error = 7.350819780131911e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9749302474567536 y2[1] (numeric) = 0.974930247456793 absolute error = 3.941291737419306e-14 relative error = 4.042639714688035e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.488999999999833 y1[1] (analytic) = 0.2215356608605344 y1[1] (numeric) = 0.2215356608603711 absolute error = 1.632860513467449e-13 relative error = 7.370644108152866e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9751522706567863 y2[1] (numeric) = 0.9751522706568255 absolute error = 3.919087276926803e-14 relative error = 4.018949034787369e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.489999999999833 y1[1] (analytic) = 0.2205603979845814 y1[1] (numeric) = 0.2205603979844184 absolute error = 1.62980740014973e-13 relative error = 7.389392724362348e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9753733187046296 y2[1] (numeric) = 0.9753733187046686 absolute error = 3.896882816434299e-14 relative error = 3.995273134608252e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.490999999999834 y1[1] (analytic) = 0.2195849145482489 y1[1] (numeric) = 0.2195849145480862 absolute error = 1.626754286832011e-13 relative error = 7.408315321563531e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9755933913792355 y2[1] (numeric) = 0.9755933913792743 absolute error = 3.874678355941796e-14 relative error = 3.971611934008705e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.491999999999834 y1[1] (analytic) = 0.2186092115270201 y1[1] (numeric) = 0.2186092115268577 absolute error = 1.623978729270448e-13 relative error = 7.428683896377002e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9758124884605314 y2[1] (numeric) = 0.9758124884605698 absolute error = 3.841371665203042e-14 relative error = 3.936587931215448e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.492999999999834 y1[1] (analytic) = 0.217633289896598 y1[1] (numeric) = 0.2176332898964358 absolute error = 1.621203171708885e-13 relative error = 7.449242588204919e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.97603060972942 y2[1] (numeric) = 0.9760306097294582 absolute error = 3.819167204710538e-14 relative error = 3.912958432491483e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.493999999999835 y1[1] (analytic) = 0.2166571506329041 y1[1] (numeric) = 0.2166571506327423 absolute error = 1.618427614147322e-13 relative error = 7.469993994749456e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9762477549677803 y2[1] (numeric) = 0.9762477549678182 absolute error = 3.796962744218035e-14 relative error = 3.889343381223293e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.494999999999835 y1[1] (analytic) = 0.2156807947120777 y1[1] (numeric) = 0.2156807947119161 absolute error = 1.615374500829603e-13 relative error = 7.489653879410272e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9764639239584669 y2[1] (numeric) = 0.9764639239585047 absolute error = 3.774758283725532e-14 relative error = 3.865742697818387e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.495999999999835 y1[1] (analytic) = 0.2147042231104745 y1[1] (numeric) = 0.2147042231103132 absolute error = 1.612321387511884e-13 relative error = 7.509500112078725e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9766791164853109 y2[1] (numeric) = 0.9766791164853486 absolute error = 3.763656053479281e-14 relative error = 3.853523629155928e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.496999999999836 y1[1] (analytic) = 0.2137274368046661 y1[1] (numeric) = 0.2137274368045051 absolute error = 1.609545829950321e-13 relative error = 7.530833916383642e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9768933323331199 y2[1] (numeric) = 0.9768933323331573 absolute error = 3.741451592986778e-14 relative error = 3.829948950568684e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.497999999999836 y1[1] (analytic) = 0.2127504367714387 y1[1] (numeric) = 0.212750436771278 absolute error = 1.606492716632602e-13 relative error = 7.551066597143973e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.977106571287678 y2[1] (numeric) = 0.9771065712877152 absolute error = 3.719247132494274e-14 relative error = 3.806388414308658e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.498999999999836 y1[1] (analytic) = 0.2117732239877922 y1[1] (numeric) = 0.2117732239876319 absolute error = 1.603717159071039e-13 relative error = 7.57280419531926e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9773188331357461 y2[1] (numeric) = 0.9773188331357832 absolute error = 3.708144902248023e-14 relative error = 3.794201827002933e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y1[1] (analytic) = 0.2107957994309395 y1[1] (numeric) = 0.2107957994307794 absolute error = 1.600664045753319e-13 relative error = 7.593434262326115e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9775301176650626 y2[1] (numeric) = 0.9775301176650995 absolute error = 3.68594044175552e-14 relative error = 3.770666882939414e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.500999999999837 y1[1] (analytic) = 0.2098181640783048 y1[1] (numeric) = 0.209818164078145 absolute error = 1.5976109324356e-13 relative error = 7.614264186580942e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9777404246643429 y2[1] (numeric) = 0.9777404246643795 absolute error = 3.663735981263017e-14 relative error = 3.747145856755154e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.501999999999837 y1[1] (analytic) = 0.2088403189075236 y1[1] (numeric) = 0.2088403189073641 absolute error = 1.594835374874037e-13 relative error = 7.636625835551636e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.97794975392328 y2[1] (numeric) = 0.9779497539233164 absolute error = 3.641531520770513e-14 relative error = 3.72363866973905e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.502999999999838 y1[1] (analytic) = 0.2078622648964408 y1[1] (numeric) = 0.2078622648962817 absolute error = 1.591782261556318e-13 relative error = 7.657870284196898e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9781581052325447 y2[1] (numeric) = 0.9781581052325808 absolute error = 3.61932706027801e-14 relative error = 3.700145243306614e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.503999999999838 y1[1] (analytic) = 0.2068840030231105 y1[1] (numeric) = 0.2068840030229516 absolute error = 1.589006703994755e-13 relative error = 7.680664917418729e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9783654783837856 y2[1] (numeric) = 0.9783654783838216 absolute error = 3.597122599785507e-14 relative error = 3.676665498999195e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.504999999999838 y1[1] (analytic) = 0.2059055342657944 y1[1] (numeric) = 0.2059055342656358 absolute error = 1.585953590677036e-13 relative error = 7.702335910164504e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9785718731696297 y2[1] (numeric) = 0.9785718731696654 absolute error = 3.574918139293004e-14 relative error = 3.65319935848321e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.505999999999839 y1[1] (analytic) = 0.2049268596029612 y1[1] (numeric) = 0.2049268596028029 absolute error = 1.583178033115473e-13 relative error = 7.725576023478945e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9787772893836821 y2[1] (numeric) = 0.9787772893837177 absolute error = 3.552713678800501e-14 relative error = 3.629746743549371e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.506999999999839 y1[1] (analytic) = 0.2039479800132855 y1[1] (numeric) = 0.2039479800131275 absolute error = 1.580124919797754e-13 relative error = 7.747686050603797e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9789817268205268 y2[1] (numeric) = 0.9789817268205621 absolute error = 3.530509218307998e-14 relative error = 3.606307576111922e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.507999999999839 y1[1] (analytic) = 0.2029688964756467 y1[1] (numeric) = 0.202968896475489 absolute error = 1.577071806480035e-13 relative error = 7.770017149742252e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9791851852757262 y2[1] (numeric) = 0.9791851852757613 absolute error = 3.508304757815495e-14 relative error = 3.582881778207868e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.50899999999984 y1[1] (analytic) = 0.2019896099691284 y1[1] (numeric) = 0.201989609968971 absolute error = 1.574296248918472e-13 relative error = 7.793946674579367e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9793876645458219 y2[1] (numeric) = 0.9793876645458568 absolute error = 3.486100297322992e-14 relative error = 3.559469271996216e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.50999999999984 y1[1] (analytic) = 0.201010121473017 y1[1] (numeric) = 0.2010101214728598 absolute error = 1.571243135600753e-13 relative error = 7.81673641151285e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9795891644283347 y2[1] (numeric) = 0.9795891644283694 absolute error = 3.47499806707674e-14 relative error = 3.547403537384642e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.51099999999984 y1[1] (analytic) = 0.2000304319668008 y1[1] (numeric) = 0.200030431966644 absolute error = 1.56846757803919e-13 relative error = 7.84114478290738e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9797896847217648 y2[1] (numeric) = 0.9797896847217992 absolute error = 3.441691376337985e-14 relative error = 3.512683823891591e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.511999999999841 y1[1] (analytic) = 0.1990505424301693 y1[1] (numeric) = 0.1990505424300128 absolute error = 1.565414464721471e-13 relative error = 7.864406927052949e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9799892252255916 y2[1] (numeric) = 0.9799892252256259 absolute error = 3.430589146091734e-14 relative error = 3.500639657851359e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.512999999999841 y1[1] (analytic) = 0.198070453843012 y1[1] (numeric) = 0.1980704538428558 absolute error = 1.562361351403752e-13 relative error = 7.887907161772135e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.980187785740275 y2[1] (numeric) = 0.9801877857403091 absolute error = 3.408384685599231e-14 relative error = 3.477277247466504e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.513999999999841 y1[1] (analytic) = 0.1970901671854174 y1[1] (numeric) = 0.1970901671852614 absolute error = 1.559585793842189e-13 relative error = 7.913057338750797e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9803853660672543 y2[1] (numeric) = 0.9803853660672882 absolute error = 3.386180225106727e-14 relative error = 3.453927753624217e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.514999999999842 y1[1] (analytic) = 0.196109683437672 y1[1] (numeric) = 0.1961096834375163 absolute error = 1.556532680524469e-13 relative error = 7.937051619478905e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9805819660089492 y2[1] (numeric) = 0.980581966008983 absolute error = 3.375077994860476e-14 relative error = 3.441913182023249e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.515999999999842 y1[1] (analytic) = 0.1951290035802595 y1[1] (numeric) = 0.1951290035801041 absolute error = 1.553757122962907e-13 relative error = 7.962717455910254e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9807775853687599 y2[1] (numeric) = 0.9807775853687933 absolute error = 3.341771304121721e-14 relative error = 3.407267207136731e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.516999999999842 y1[1] (analytic) = 0.1941481285938596 y1[1] (numeric) = 0.1941481285937046 absolute error = 1.550704009645187e-13 relative error = 7.987220999122378e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9809722239510669 y2[1] (numeric) = 0.9809722239511002 absolute error = 3.33066907387547e-14 relative error = 3.395273579164675e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.517999999999843 y1[1] (analytic) = 0.1931670594593474 y1[1] (numeric) = 0.1931670594591926 absolute error = 1.547928452083625e-13 relative error = 8.013418314779446e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9811658815612317 y2[1] (numeric) = 0.9811658815612647 absolute error = 3.297362383136715e-14 relative error = 3.360657402691123e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.518999999999843 y1[1] (analytic) = 0.1921857971577918 y1[1] (numeric) = 0.1921857971576373 absolute error = 1.545152894522062e-13 relative error = 8.039891174962491e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9813585580055967 y2[1] (numeric) = 0.9813585580056295 absolute error = 3.286260152890463e-14 relative error = 3.348684460009286e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.519999999999843 y1[1] (analytic) = 0.1912043426704551 y1[1] (numeric) = 0.1912043426703008 absolute error = 1.542099781204342e-13 relative error = 8.065192242323626e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9815502530914855 y2[1] (numeric) = 0.9815502530915181 absolute error = 3.26405569239796e-14 relative error = 3.325408640176606e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.520999999999844 y1[1] (analytic) = 0.1902226969787916 y1[1] (numeric) = 0.1902226969786377 absolute error = 1.539046667886623e-13 relative error = 8.090762523770839e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.981740966627203 y2[1] (numeric) = 0.9817409666272354 absolute error = 3.241851231905457e-14 relative error = 3.302145211524505e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.521999999999844 y1[1] (analytic) = 0.189240861064447 y1[1] (numeric) = 0.1892408610642934 absolute error = 1.535993554568904e-13 relative error = 8.116606244175847e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9819306984220356 y2[1] (numeric) = 0.9819306984220679 absolute error = 3.230749001659206e-14 relative error = 3.290200629078024e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.522999999999844 y1[1] (analytic) = 0.1882588359092571 y1[1] (numeric) = 0.1882588359091037 absolute error = 1.533217997007341e-13 relative error = 8.144202048218177e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9821194482862518 y2[1] (numeric) = 0.9821194482862838 absolute error = 3.208544541166702e-14 relative error = 3.266959580899705e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.523999999999845 y1[1] (analytic) = 0.1872766224952469 y1[1] (numeric) = 0.1872766224950939 absolute error = 1.530164883689622e-13 relative error = 8.170613412939233e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9823072160311013 y2[1] (numeric) = 0.9823072160311332 absolute error = 3.197442310920451e-14 relative error = 3.255032904918837e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.524999999999845 y1[1] (analytic) = 0.1862942218046299 y1[1] (numeric) = 0.1862942218044772 absolute error = 1.527389326128059e-13 relative error = 8.198801397768845e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9824940014688168 y2[1] (numeric) = 0.9824940014688485 absolute error = 3.164135620181696e-14 relative error = 3.220513932351089e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.525999999999845 y1[1] (analytic) = 0.1853116348198066 y1[1] (numeric) = 0.1853116348196542 absolute error = 1.524613768566496e-13 relative error = 8.227296521608049e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9826798044126126 y2[1] (numeric) = 0.9826798044126441 absolute error = 3.153033389935445e-14 relative error = 3.208607092337814e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.526999999999846 y1[1] (analytic) = 0.184328862523364 y1[1] (numeric) = 0.1843288625232118 absolute error = 1.521560655248777e-13 relative error = 8.25459797461679e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.982864624676686 y2[1] (numeric) = 0.9828646246767172 absolute error = 3.11972669919669e-14 relative error = 3.174116374595256e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.527999999999846 y1[1] (analytic) = 0.1833459058980741 y1[1] (numeric) = 0.1833459058979223 absolute error = 1.518507541931058e-13 relative error = 8.282200436890194e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9830484620762165 y2[1] (numeric) = 0.9830484620762475 absolute error = 3.097522238704187e-14 relative error = 3.150935440316099e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.528999999999846 y1[1] (analytic) = 0.1823627659268937 y1[1] (numeric) = 0.1823627659267421 absolute error = 1.515731984369495e-13 relative error = 8.311630812712764e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9832313164273669 y2[1] (numeric) = 0.9832313164273977 absolute error = 3.075317778211684e-14 relative error = 3.12776630161257e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y1[1] (analytic) = 0.1813794435929625 y1[1] (numeric) = 0.1813794435928112 absolute error = 1.512678871051776e-13 relative error = 8.339858371417276e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9834131875472829 y2[1] (numeric) = 0.9834131875473134 absolute error = 3.05311331771918e-14 relative error = 3.10460888300055e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.530999999999847 y1[1] (analytic) = 0.1803959398796028 y1[1] (numeric) = 0.1803959398794518 absolute error = 1.509903313490213e-13 relative error = 8.369940667721956e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9835940752540931 y2[1] (numeric) = 0.9835940752541236 absolute error = 3.042011087472929e-14 relative error = 3.092750519757942e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.531999999999847 y1[1] (analytic) = 0.1794122557703183 y1[1] (numeric) = 0.1794122557701676 absolute error = 1.506850200172494e-13 relative error = 8.398814193059071e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9837739793669102 y2[1] (numeric) = 0.9837739793669404 absolute error = 3.019806626980426e-14 relative error = 3.069614251155298e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.532999999999848 y1[1] (analytic) = 0.178428392248793 y1[1] (numeric) = 0.1784283922486426 absolute error = 1.503797086854775e-13 relative error = 8.428014554757314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9839528997058299 y2[1] (numeric) = 0.9839528997058599 absolute error = 2.997602166487923e-14 relative error = 3.046489488860807e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.533999999999848 y1[1] (analytic) = 0.1774443502988903 y1[1] (numeric) = 0.1774443502987402 absolute error = 1.500743973537055e-13 relative error = 8.457547231056816e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9841308360919317 y2[1] (numeric) = 0.9841308360919616 absolute error = 2.986499936241671e-14 relative error = 3.034657412119429e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.534999999999848 y1[1] (analytic) = 0.1764601309046521 y1[1] (numeric) = 0.1764601309045023 absolute error = 1.497690860219336e-13 relative error = 8.487417823738292e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9843077883472796 y2[1] (numeric) = 0.9843077883473093 absolute error = 2.964295475749168e-14 relative error = 3.0115534092506e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.535999999999849 y1[1] (analytic) = 0.1754757350502976 y1[1] (numeric) = 0.1754757350501482 absolute error = 1.494637746901617e-13 relative error = 8.517632061624932e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9844837562949211 y2[1] (numeric) = 0.9844837562949506 absolute error = 2.942091015256665e-14 relative error = 2.988460699777463e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.536999999999849 y1[1] (analytic) = 0.1744911637202228 y1[1] (numeric) = 0.1744911637200736 absolute error = 1.491584633583898e-13 relative error = 8.548195804204092e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9846587397588884 y2[1] (numeric) = 0.9846587397589176 absolute error = 2.919886554764162e-14 relative error = 2.965379208921813e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.537999999999849 y1[1] (analytic) = 0.1735064178989988 y1[1] (numeric) = 0.1735064178988499 absolute error = 1.488809076022335e-13 relative error = 8.580714731192235e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9848327385641981 y2[1] (numeric) = 0.9848327385642269 absolute error = 2.886579864025407e-14 relative error = 2.931035647975913e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.53899999999985 y1[1] (analytic) = 0.1725214985713713 y1[1] (numeric) = 0.1725214985712227 absolute error = 1.485755962704616e-13 relative error = 8.612004735687859e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9850057525368511 y2[1] (numeric) = 0.9850057525368798 absolute error = 2.875477633779155e-14 relative error = 2.919249584455171e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.53999999999985 y1[1] (analytic) = 0.1715364067222597 y1[1] (numeric) = 0.1715364067221114 absolute error = 1.482980405143053e-13 relative error = 8.645280809363088e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9851777815038337 y2[1] (numeric) = 0.9851777815038623 absolute error = 2.853273173286652e-14 relative error = 2.896201301790675e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.54099999999985 y1[1] (analytic) = 0.1705511433367556 y1[1] (numeric) = 0.1705511433366076 absolute error = 1.479927291825334e-13 relative error = 8.67732260758403e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.985348825293117 y2[1] (numeric) = 0.9853488252931453 absolute error = 2.831068712794149e-14 relative error = 2.873163939635262e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.541999999999851 y1[1] (analytic) = 0.1695657094001224 y1[1] (numeric) = 0.1695657093999747 absolute error = 1.476874178507614e-13 relative error = 8.709745524212389e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9855188837336569 y2[1] (numeric) = 0.9855188837336851 absolute error = 2.819966482547898e-14 relative error = 2.861402789020542e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.542999999999851 y1[1] (analytic) = 0.1685801058977939 y1[1] (numeric) = 0.1685801058976465 absolute error = 1.473821065189895e-13 relative error = 8.742556290025337e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9856879566553953 y2[1] (numeric) = 0.9856879566554233 absolute error = 2.797762022055394e-14 relative error = 2.838385112818737e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.543999999999851 y1[1] (analytic) = 0.1675943338153736 y1[1] (numeric) = 0.1675943338152265 absolute error = 1.471045507628332e-13 relative error = 8.777417912283812e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9858560438892593 y2[1] (numeric) = 0.985856043889287 absolute error = 2.775557561562891e-14 relative error = 2.815378146502156e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.544999999999852 y1[1] (analytic) = 0.1666083941386334 y1[1] (numeric) = 0.1666083941384866 absolute error = 1.467992394310613e-13 relative error = 8.811035013572664e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9860231452671615 y2[1] (numeric) = 0.986023145267189 absolute error = 2.753353101070388e-14 relative error = 2.79238181607225e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.545999999999852 y1[1] (analytic) = 0.1656222878535129 y1[1] (numeric) = 0.1656222878533664 absolute error = 1.464939280992894e-13 relative error = 8.845061253401964e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9861892606220005 y2[1] (numeric) = 0.9861892606220279 absolute error = 2.742250870824137e-14 relative error = 2.780653755136786e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.546999999999852 y1[1] (analytic) = 0.1646360159461184 y1[1] (numeric) = 0.1646360159459722 absolute error = 1.461886167675175e-13 relative error = 8.879504033635122e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9863543897876612 y2[1] (numeric) = 0.9863543897876884 absolute error = 2.720046410331634e-14 relative error = 2.757676590172823e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.547999999999853 y1[1] (analytic) = 0.1636495794027217 y1[1] (numeric) = 0.1636495794025758 absolute error = 1.459110610113612e-13 relative error = 8.91606697334014e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9865185325990142 y2[1] (numeric) = 0.9865185325990412 absolute error = 2.69784194983913e-14 relative error = 2.73470985155401e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.548999999999853 y1[1] (analytic) = 0.1626629792097593 y1[1] (numeric) = 0.1626629792096136 absolute error = 1.456057496795893e-13 relative error = 8.951376052926332e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9866816888919169 y2[1] (numeric) = 0.9866816888919436 absolute error = 2.675637489346627e-14 relative error = 2.711753465650584e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.549999999999853 y1[1] (analytic) = 0.1616762163538311 y1[1] (numeric) = 0.1616762163536858 absolute error = 1.453004383478174e-13 relative error = 8.9871251087312e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9868438585032129 y2[1] (numeric) = 0.9868438585032394 absolute error = 2.653433028854124e-14 relative error = 2.688807358925754e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.550999999999854 y1[1] (analytic) = 0.1606892918217001 y1[1] (numeric) = 0.1606892918215551 absolute error = 1.449951270160454e-13 relative error = 9.023322299343455e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9870050412707325 y2[1] (numeric) = 0.9870050412707589 absolute error = 2.642330798607873e-14 relative error = 2.677119860711116e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.551999999999854 y1[1] (analytic) = 0.1597022066002907 y1[1] (numeric) = 0.159702206600146 absolute error = 1.446898156842735e-13 relative error = 9.059975986832119e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9871652370332933 y2[1] (numeric) = 0.9871652370333195 absolute error = 2.620126338115369e-14 relative error = 2.654192266726875e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.552999999999854 y1[1] (analytic) = 0.1587149616766879 y1[1] (numeric) = 0.1587149616765435 absolute error = 1.443845043525016e-13 relative error = 9.097094743129615e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9873244456306992 y2[1] (numeric) = 0.9873244456307252 absolute error = 2.597921877622866e-14 relative error = 2.631274743697168e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.553999999999855 y1[1] (analytic) = 0.1577275580381367 y1[1] (numeric) = 0.1577275580379927 absolute error = 1.440791930207297e-13 relative error = 9.134687356656658e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9874826669037418 y2[1] (numeric) = 0.9874826669037675 absolute error = 2.575717417130363e-14 relative error = 2.608367218440949e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.554999999999855 y1[1] (analytic) = 0.1567399966720406 y1[1] (numeric) = 0.1567399966718969 absolute error = 1.437738816889578e-13 relative error = 9.172762839199691e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9876399006941997 y2[1] (numeric) = 0.9876399006942252 absolute error = 2.55351295663786e-14 relative error = 2.585469617866823e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.555999999999855 y1[1] (analytic) = 0.155752278565961 y1[1] (numeric) = 0.1557522785658175 absolute error = 1.434963259328015e-13 relative error = 9.213112466411264e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9877961468448393 y2[1] (numeric) = 0.9877961468448646 absolute error = 2.531308496145357e-14 relative error = 2.562581868972373e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.556999999999856 y1[1] (analytic) = 0.1547644047076157 y1[1] (numeric) = 0.1547644047074725 absolute error = 1.431910146010296e-13 relative error = 9.252193026655527e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9879514051994144 y2[1] (numeric) = 0.9879514051994395 absolute error = 2.509104035652854e-14 relative error = 2.539703898843486e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.557999999999856 y1[1] (analytic) = 0.1537763760848786 y1[1] (numeric) = 0.1537763760847357 absolute error = 1.428857032692576e-13 relative error = 9.29178505223652e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9881056756026665 y2[1] (numeric) = 0.9881056756026915 absolute error = 2.498001805406602e-14 relative error = 2.52807150802268e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.558999999999856 y1[1] (analytic) = 0.1527881936857782 y1[1] (numeric) = 0.1527881936856356 absolute error = 1.425803919374857e-13 relative error = 9.331898525530991e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9882589579003254 y2[1] (numeric) = 0.9882589579003502 absolute error = 2.486899575160351e-14 relative error = 2.516445264957747e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.559999999999857 y1[1] (analytic) = 0.1517998584984969 y1[1] (numeric) = 0.1517998584983546 absolute error = 1.422750806057138e-13 relative error = 9.372543690949658e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9884112519391087 y2[1] (numeric) = 0.9884112519391334 absolute error = 2.464695114667848e-14 relative error = 2.493592732612564e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.560999999999857 y1[1] (analytic) = 0.1508113715113698 y1[1] (numeric) = 0.1508113715112278 absolute error = 1.419697692739419e-13 relative error = 9.413731063591496e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9885625575667225 y2[1] (numeric) = 0.9885625575667469 absolute error = 2.442490654175344e-14 relative error = 2.470749711770759e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.561999999999857 y1[1] (analytic) = 0.1498227337128837 y1[1] (numeric) = 0.149822733712742 absolute error = 1.4166445794217e-13 relative error = 9.455471438243278e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9887128746318611 y2[1] (numeric) = 0.9887128746318854 absolute error = 2.431388423929093e-14 relative error = 2.459145103005157e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.562999999999858 y1[1] (analytic) = 0.1488339460916763 y1[1] (numeric) = 0.148833946091535 absolute error = 1.413313910347824e-13 relative error = 9.495911030117245e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9888622029842075 y2[1] (numeric) = 0.9888622029842316 absolute error = 2.40918396343659e-14 relative error = 2.436319192063472e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.563999999999858 y1[1] (analytic) = 0.1478450096365353 y1[1] (numeric) = 0.1478450096363942 absolute error = 1.410538352786261e-13 relative error = 9.540655827707361e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9890105424744333 y2[1] (numeric) = 0.9890105424744572 absolute error = 2.386979502944087e-14 relative error = 2.41350258711301e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.564999999999858 y1[1] (analytic) = 0.1468559253363969 y1[1] (numeric) = 0.1468559253362562 absolute error = 1.407207683712386e-13 relative error = 9.582232929920615e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.989157892954199 y2[1] (numeric) = 0.9891578929542227 absolute error = 2.375877272697835e-14 relative error = 2.401919137097605e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.565999999999859 y1[1] (analytic) = 0.1458666941803455 y1[1] (numeric) = 0.1458666941802051 absolute error = 1.404154570394667e-13 relative error = 9.626286372532781e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9893042542761542 y2[1] (numeric) = 0.9893042542761777 absolute error = 2.353672812205332e-14 relative error = 2.379119266931129e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.566999999999859 y1[1] (analytic) = 0.144877317157612 y1[1] (numeric) = 0.1448773171574719 absolute error = 1.401101457076948e-13 relative error = 9.670951150708356e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9894496262939375 y2[1] (numeric) = 0.9894496262939609 absolute error = 2.34257058195908e-14 relative error = 2.367549109835298e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.567999999999859 y1[1] (analytic) = 0.1438877952575735 y1[1] (numeric) = 0.1438877952574337 absolute error = 1.398048343759228e-13 relative error = 9.716239944163314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9895940088621771 y2[1] (numeric) = 0.9895940088622003 absolute error = 2.320366121466577e-14 relative error = 2.344765732903441e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.56899999999986 y1[1] (analytic) = 0.1428981294697517 y1[1] (numeric) = 0.1428981294696122 absolute error = 1.394717674685353e-13 relative error = 9.760223453313875e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9897374018364902 y2[1] (numeric) = 0.9897374018365133 absolute error = 2.309263891220326e-14 relative error = 2.333208674276036e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.56999999999986 y1[1] (analytic) = 0.1419083207838123 y1[1] (numeric) = 0.1419083207836731 absolute error = 1.391664561367634e-13 relative error = 9.80678619605217e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9898798050734839 y2[1] (numeric) = 0.9898798050735068 absolute error = 2.287059430727822e-14 relative error = 2.310441549575852e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.57099999999986 y1[1] (analytic) = 0.140918370189564 y1[1] (numeric) = 0.1409183701894251 absolute error = 1.388611448049915e-13 relative error = 9.854012973482086e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9900212184307552 y2[1] (numeric) = 0.9900212184307778 absolute error = 2.264854970235319e-14 relative error = 2.287683261804484e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.571999999999861 y1[1] (analytic) = 0.1399282786769572 y1[1] (numeric) = 0.1399282786768186 absolute error = 1.385835890488352e-13 relative error = 9.903901510056704e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9901616417668904 y2[1] (numeric) = 0.9901616417669129 absolute error = 2.253752739989068e-14 relative error = 2.276146282507336e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.572999999999861 y1[1] (analytic) = 0.1389380472360834 y1[1] (numeric) = 0.1389380472359451 absolute error = 1.382505221414476e-13 relative error = 9.950515707661594e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9903010749414664 y2[1] (numeric) = 0.9903010749414887 absolute error = 2.231548279496565e-14 relative error = 2.253403874804907e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.573999999999861 y1[1] (analytic) = 0.1379476768571739 y1[1] (numeric) = 0.137947676857036 absolute error = 1.379452108096757e-13 relative error = 9.999821233125891e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.99043951781505 y2[1] (numeric) = 0.9904395178150721 absolute error = 2.209343819004062e-14 relative error = 2.230670100762906e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.574999999999862 y1[1] (analytic) = 0.1369571685305991 y1[1] (numeric) = 0.1369571685304615 absolute error = 1.376398994779038e-13 relative error = 1.004984996073076e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9905769702491983 y2[1] (numeric) = 0.9905769702492202 absolute error = 2.187139358511558e-14 relative error = 2.207944888887677e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.575999999999862 y1[1] (analytic) = 0.1359665232468672 y1[1] (numeric) = 0.1359665232467298 absolute error = 1.373623437217475e-13 relative error = 1.010265912825806e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9907134321064589 y2[1] (numeric) = 0.9907134321064807 absolute error = 2.176037128265307e-14 relative error = 2.196434466058069e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.576999999999862 y1[1] (analytic) = 0.1349757419966233 y1[1] (numeric) = 0.1349757419964863 absolute error = 1.370292768143599e-13 relative error = 1.015214102825884e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9908489032503699 y2[1] (numeric) = 0.9908489032503915 absolute error = 2.164934898019055e-14 relative error = 2.184929398334324e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.577999999999863 y1[1] (analytic) = 0.1339848257706487 y1[1] (numeric) = 0.133984825770512 absolute error = 1.367517210582037e-13 relative error = 1.020650810803689e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9909833835454603 y2[1] (numeric) = 0.9909833835454818 absolute error = 2.142730437526552e-14 relative error = 2.162226403696563e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.578999999999863 y1[1] (analytic) = 0.1329937755598595 y1[1] (numeric) = 0.1329937755597231 absolute error = 1.364464097264317e-13 relative error = 1.025960870364329e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9911168728572497 y2[1] (numeric) = 0.991116872857271 absolute error = 2.131628207280301e-14 relative error = 2.150733445930668e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.579999999999863 y1[1] (analytic) = 0.1320025923553058 y1[1] (numeric) = 0.1320025923551697 absolute error = 1.361410983946598e-13 relative error = 1.031351702762129e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9912493710522489 y2[1] (numeric) = 0.99124937105227 absolute error = 2.109423746787797e-14 relative error = 2.128045483195176e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.580999999999864 y1[1] (analytic) = 0.1310112771481708 y1[1] (numeric) = 0.131011277148035 absolute error = 1.358357870628879e-13 relative error = 1.036825149862944e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9913808779979596 y2[1] (numeric) = 0.9913808779979805 absolute error = 2.087219286295294e-14 relative error = 2.10536569003663e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.581999999999864 y1[1] (analytic) = 0.1300198309297695 y1[1] (numeric) = 0.130019830929634 absolute error = 1.35530475731116e-13 relative error = 1.042383110037445e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9915113935628749 y2[1] (numeric) = 0.9915113935628956 absolute error = 2.076117056049043e-14 relative error = 2.093891275004688e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.582999999999864 y1[1] (analytic) = 0.1290282546915482 y1[1] (numeric) = 0.129028254691413 absolute error = 1.352251643993441e-13 relative error = 1.048027540344633e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9916409176164792 y2[1] (numeric) = 0.9916409176164999 absolute error = 2.065014825802791e-14 relative error = 2.082421962544958e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.583999999999865 y1[1] (analytic) = 0.1280365494250829 y1[1] (numeric) = 0.128036549424948 absolute error = 1.349198530675721e-13 relative error = 1.053760458817401e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9917694500292487 y2[1] (numeric) = 0.9917694500292691 absolute error = 2.042810365310288e-14 relative error = 2.059763350494455e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.584999999999865 y1[1] (analytic) = 0.1270447161220788 y1[1] (numeric) = 0.1270447161219442 absolute error = 1.346145417358002e-13 relative error = 1.059583946855747e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9918969906726507 y2[1] (numeric) = 0.9918969906726709 absolute error = 2.020605904817785e-14 relative error = 2.037112647602166e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.585999999999865 y1[1] (analytic) = 0.1260527557743692 y1[1] (numeric) = 0.1260527557742349 absolute error = 1.343092304040283e-13 relative error = 1.065500151733596e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9920235394191447 y2[1] (numeric) = 0.9920235394191648 absolute error = 2.009503674571533e-14 relative error = 2.025661281937069e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.586999999999866 y1[1] (analytic) = 0.1250606693739144 y1[1] (numeric) = 0.1250606693737804 absolute error = 1.340039190722564e-13 relative error = 1.071511289225575e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9921490961421819 y2[1] (numeric) = 0.9921490961422018 absolute error = 1.98729921407903e-14 relative error = 2.003024768965003e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.587999999999866 y1[1] (analytic) = 0.1240684579128006 y1[1] (numeric) = 0.1240684579126669 absolute error = 1.336986077404845e-13 relative error = 1.077619646360498e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9922736607162057 y2[1] (numeric) = 0.9922736607162255 absolute error = 1.976196983832779e-14 relative error = 1.991584642493074e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.588999999999866 y1[1] (analytic) = 0.1230761223832392 y1[1] (numeric) = 0.1230761223831058 absolute error = 1.333794186209047e-13 relative error = 1.083714826549237e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9923972330166514 y2[1] (numeric) = 0.992397233016671 absolute error = 1.965094753586527e-14 relative error = 1.980149367822305e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.589999999999867 y1[1] (analytic) = 0.1220836637775656 y1[1] (numeric) = 0.1220836637774326 absolute error = 1.330741072891328e-13 relative error = 1.090023867006413e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9925198129199468 y2[1] (numeric) = 0.9925198129199663 absolute error = 1.942890293094024e-14 relative error = 1.957533006195747e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.590999999999867 y1[1] (analytic) = 0.1210910830882385 y1[1] (numeric) = 0.1210910830881058 absolute error = 1.327687959573609e-13 relative error = 1.09643743016662e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9926414003035121 y2[1] (numeric) = 0.9926414003035313 absolute error = 1.920685832601521e-14 relative error = 1.93492416497463e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.591999999999867 y1[1] (analytic) = 0.1200983813078384 y1[1] (numeric) = 0.120098381307706 absolute error = 1.324496068377812e-13 relative error = 1.102842564532855e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9927619950457597 y2[1] (numeric) = 0.9927619950457788 absolute error = 1.909583602355269e-14 relative error = 1.92350594793594e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.592999999999868 y1[1] (analytic) = 0.119105559429067 y1[1] (numeric) = 0.1191055594289349 absolute error = 1.321304177182014e-13 relative error = 1.109355586351881e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.992881597026095 y2[1] (numeric) = 0.9928815970261139 absolute error = 1.887379141862766e-14 relative error = 1.900910589455876e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.593999999999868 y1[1] (analytic) = 0.1181126184447461 y1[1] (numeric) = 0.1181126184446143 absolute error = 1.318251063864295e-13 relative error = 1.1160967229602e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9930002061249161 y2[1] (numeric) = 0.9930002061249348 absolute error = 1.865174681370263e-14 relative error = 1.878322552065644e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.594999999999868 y1[1] (analytic) = 0.1171195593478166 y1[1] (numeric) = 0.117119559347685 absolute error = 1.315059172668498e-13 relative error = 1.122834802309231e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9931178222236138 y2[1] (numeric) = 0.9931178222236323 absolute error = 1.854072451124011e-14 relative error = 1.866920932878538e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.595999999999869 y1[1] (analytic) = 0.1161263831313374 y1[1] (numeric) = 0.1161263831312063 absolute error = 1.311867281472701e-13 relative error = 1.129689262765547e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9932344452045719 y2[1] (numeric) = 0.9932344452045904 absolute error = 1.84297022087776e-14 relative error = 1.855523869289664e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.596999999999869 y1[1] (analytic) = 0.1151330907884849 y1[1] (numeric) = 0.115133090788354 absolute error = 1.308675390276903e-13 relative error = 1.136663127268179e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9933500749511677 y2[1] (numeric) = 0.993350074951186 absolute error = 1.831867990631508e-14 relative error = 1.844131325727802e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.597999999999869 y1[1] (analytic) = 0.1141396833125511 y1[1] (numeric) = 0.1141396833124206 absolute error = 1.305622276959184e-13 relative error = 1.14388111046705e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9934647113477713 y2[1] (numeric) = 0.9934647113477895 absolute error = 1.820765760385257e-14 relative error = 1.832743266658298e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.59899999999987 y1[1] (analytic) = 0.1131461616969436 y1[1] (numeric) = 0.1131461616968133 absolute error = 1.302430385763387e-13 relative error = 1.151104347005498e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9935783542797463 y2[1] (numeric) = 0.9935783542797644 absolute error = 1.809663530139005e-14 relative error = 1.821359656582743e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.59999999999987 y1[1] (analytic) = 0.1121525269351837 y1[1] (numeric) = 0.1121525269350538 absolute error = 1.299238494567589e-13 relative error = 1.15845672859289e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9936910036334499 y2[1] (numeric) = 0.9936910036334677 absolute error = 1.787459069646502e-14 relative error = 1.798807741149537e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.60099999999987 y1[1] (analytic) = 0.1111587800209063 y1[1] (numeric) = 0.1111587800207767 absolute error = 1.296046603371792e-13 relative error = 1.165941730494017e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9938026592962326 y2[1] (numeric) = 0.9938026592962503 absolute error = 1.77635683940025e-14 relative error = 1.787434177986793e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.601999999999871 y1[1] (analytic) = 0.1101649219478581 y1[1] (numeric) = 0.1101649219477288 absolute error = 1.292993490054073e-13 relative error = 1.17368892674027e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9939133211564388 y2[1] (numeric) = 0.9939133211564564 absolute error = 1.754152378907747e-14 relative error = 1.764894726299427e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.602999999999871 y1[1] (analytic) = 0.1091709537098972 y1[1] (numeric) = 0.1091709537097682 absolute error = 1.289940376736354e-13 relative error = 1.181578371261779e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9940229891034067 y2[1] (numeric) = 0.9940229891034241 absolute error = 1.743050148661496e-14 relative error = 1.753531022691638e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.603999999999871 y1[1] (analytic) = 0.1081768763009916 y1[1] (numeric) = 0.108176876300863 absolute error = 1.286748485540556e-13 relative error = 1.189485710384448e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9941316630274684 y2[1] (numeric) = 0.9941316630274856 absolute error = 1.720845688168993e-14 relative error = 1.731003801778563e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.604999999999872 y1[1] (analytic) = 0.1071826907152188 y1[1] (numeric) = 0.1071826907150904 absolute error = 1.283556594344759e-13 relative error = 1.197540932943296e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9942393428199499 y2[1] (numeric) = 0.9942393428199668 absolute error = 1.69864122767649e-14 relative error = 1.708483213768882e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.605999999999872 y1[1] (analytic) = 0.1061883979467642 y1[1] (numeric) = 0.1061883979466361 absolute error = 1.280364703148962e-13 relative error = 1.205748205930041e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9943460283731713 y2[1] (numeric) = 0.9943460283731882 absolute error = 1.687538997430238e-14 relative error = 1.697134548011606e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.606999999999872 y1[1] (analytic) = 0.1051939989899204 y1[1] (numeric) = 0.1051939989897927 absolute error = 1.277172811953164e-13 relative error = 1.21411185449423e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9944517195804473 y2[1] (numeric) = 0.994451719580464 absolute error = 1.665334536937735e-14 relative error = 1.674625830643974e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.607999999999873 y1[1] (analytic) = 0.1041994948390865 y1[1] (numeric) = 0.1041994948389591 absolute error = 1.273980920757367e-13 relative error = 1.222636369518637e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9945564163360866 y2[1] (numeric) = 0.994556416336103 absolute error = 1.643130076445232e-14 relative error = 1.65212354920847e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.608999999999873 y1[1] (analytic) = 0.1032048864887664 y1[1] (numeric) = 0.1032048864886393 absolute error = 1.27078902956157e-13 relative error = 1.231326415634295e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9946601185353924 y2[1] (numeric) = 0.9946601185354087 absolute error = 1.63202784619898e-14 relative error = 1.640789467463612e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.609999999999873 y1[1] (analytic) = 0.1022101749335684 y1[1] (numeric) = 0.1022101749334416 absolute error = 1.267597138365772e-13 relative error = 1.240186839705194e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9947628260746626 y2[1] (numeric) = 0.9947628260746787 absolute error = 1.609823385706477e-14 relative error = 1.61829869744816e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.610999999999874 y1[1] (analytic) = 0.101215361168204 y1[1] (numeric) = 0.1012153611680776 absolute error = 1.264405247169975e-13 relative error = 1.249222679815105e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9948645388511895 y2[1] (numeric) = 0.9948645388512055 absolute error = 1.598721155460225e-14 relative error = 1.606973706497101e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.611999999999874 y1[1] (analytic) = 0.1002204461874869 y1[1] (numeric) = 0.1002204461873607 absolute error = 1.261352133852256e-13 relative error = 1.258577647411974e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9949652567632605 y2[1] (numeric) = 0.9949652567632764 absolute error = 1.587618925213974e-14 relative error = 1.595652626483347e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.612999999999874 y1[1] (analytic) = 0.09922543098633188 y1[1] (numeric) = 0.09922543098620606 absolute error = 1.258160242656459e-13 relative error = 1.267981635504076e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9950649797101577 y2[1] (numeric) = 0.9950649797101735 absolute error = 1.576516694967722e-14 relative error = 1.584335422423297e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.613999999999875 y1[1] (analytic) = 0.09823031655975419 y1[1] (numeric) = 0.09823031655962869 absolute error = 1.254968351460661e-13 relative error = 1.277577427633816e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9951637075921582 y2[1] (numeric) = 0.9951637075921738 absolute error = 1.554312234475219e-14 relative error = 1.561865874546355e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.614999999999875 y1[1] (analytic) = 0.09723510390286812 y1[1] (numeric) = 0.09723510390274294 absolute error = 1.251776460264864e-13 relative error = 1.287370928831743e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9952614403105339 y2[1] (numeric) = 0.9952614403105493 absolute error = 1.543210004228968e-14 relative error = 1.550557413082805e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.615999999999875 y1[1] (analytic) = 0.09623979401088625 y1[1] (numeric) = 0.09623979401076138 absolute error = 1.248723346947145e-13 relative error = 1.297512489278494e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9953581777675523 y2[1] (numeric) = 0.9953581777675675 absolute error = 1.521005543736464e-14 relative error = 1.528098706284671e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.616999999999876 y1[1] (analytic) = 0.0952443878791184 y1[1] (numeric) = 0.09524438787899384 absolute error = 1.245670233629426e-13 relative error = 1.307867330944891e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9954539198664758 y2[1] (numeric) = 0.9954539198664909 absolute error = 1.509903313490213e-14 relative error = 1.516798802392322e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.617999999999876 y1[1] (analytic) = 0.0942488865029706 y1[1] (numeric) = 0.09424888650284635 absolute error = 1.242478342433628e-13 relative error = 1.318294983139633e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9955486665115625 y2[1] (numeric) = 0.9955486665115774 absolute error = 1.48769885299771e-14 relative error = 1.494350706340313e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.618999999999876 y1[1] (analytic) = 0.09325329087794415 y1[1] (numeric) = 0.09325329087782022 absolute error = 1.239286451237831e-13 relative error = 1.328946613648078e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9956424176080655 y2[1] (numeric) = 0.9956424176080803 absolute error = 1.476596622751458e-14 relative error = 1.483059175299942e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.619999999999877 y1[1] (analytic) = 0.09225760199963459 y1[1] (numeric) = 0.09225760199951098 absolute error = 1.236094560042034e-13 relative error = 1.339829491825432e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9957351730622339 y2[1] (numeric) = 0.9957351730622486 absolute error = 1.465494392505207e-14 relative error = 1.471771242144936e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.620999999999877 y1[1] (analytic) = 0.09126182086373072 y1[1] (numeric) = 0.09126182086360743 absolute error = 1.232902668846236e-13 relative error = 1.35095120520022e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9958269327813123 y2[1] (numeric) = 0.9958269327813267 absolute error = 1.443289932012704e-14 relative error = 1.449338117399217e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.621999999999877 y1[1] (analytic) = 0.09026594846601359 y1[1] (numeric) = 0.09026594846589062 absolute error = 1.229710777650439e-13 relative error = 1.362319677074509e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9959176966735409 y2[1] (numeric) = 0.9959176966735551 absolute error = 1.4210854715202e-14 relative error = 1.426910553218162e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.622999999999878 y1[1] (analytic) = 0.08926998580235553 y1[1] (numeric) = 0.08926998580223286 absolute error = 1.22665766433272e-13 relative error = 1.374098643914372e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9960074646481557 y2[1] (numeric) = 0.9960074646481698 absolute error = 1.409983241273949e-14 relative error = 1.415635214914812e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.623999999999878 y1[1] (analytic) = 0.08827393386871908 y1[1] (numeric) = 0.08827393386859675 absolute error = 1.223326995258844e-13 relative error = 1.385830382361995e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.996096236615389 y2[1] (numeric) = 0.9960962366154029 absolute error = 1.387778780781446e-14 relative error = 1.393217572527877e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.624999999999878 y1[1] (analytic) = 0.08727779366115614 y1[1] (numeric) = 0.08727779366103412 absolute error = 1.220135104063047e-13 relative error = 1.397990316758065e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9961840124864686 y2[1] (numeric) = 0.9961840124864824 absolute error = 1.376676550535194e-14 relative error = 1.381950054688208e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.625999999999879 y1[1] (analytic) = 0.0862815661758068 y1[1] (numeric) = 0.08628156617568511 absolute error = 1.21694321286725e-13 relative error = 1.410432455975142e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9962707921736188 y2[1] (numeric) = 0.9962707921736323 absolute error = 1.354472090042691e-14 relative error = 1.35954210510133e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.626999999999879 y1[1] (analytic) = 0.08528525240889849 y1[1] (numeric) = 0.0852852524087771 absolute error = 1.213890099549531e-13 relative error = 1.423329433006258e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9963565755900597 y2[1] (numeric) = 0.9963565755900732 absolute error = 1.343369859796439e-14 relative error = 1.348282224163445e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.627999999999879 y1[1] (analytic) = 0.08428885335674487 y1[1] (numeric) = 0.0842888533566238 absolute error = 1.210698208353733e-13 relative error = 1.43636810816439e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9964413626500082 y2[1] (numeric) = 0.9964413626500215 absolute error = 1.332267629550188e-14 relative error = 1.337025618855342e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.62899999999988 y1[1] (analytic) = 0.08329237001574491 y1[1] (numeric) = 0.08329237001562416 absolute error = 1.207506317157936e-13 relative error = 1.449720204779476e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9965251532686771 y2[1] (numeric) = 0.9965251532686902 absolute error = 1.310063169057685e-14 relative error = 1.314631311372904e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.62999999999988 y1[1] (analytic) = 0.08229580338238188 y1[1] (numeric) = 0.08229580338226145 absolute error = 1.204314425962139e-13 relative error = 1.46339713140216e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9966079473622756 y2[1] (numeric) = 0.9966079473622886 absolute error = 1.298960938811433e-14 relative error = 1.303382079431933e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.63099999999988 y1[1] (analytic) = 0.08129915445322232 y1[1] (numeric) = 0.08129915445310221 absolute error = 1.201122534766341e-13 relative error = 1.477410857277046e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9966897448480099 y2[1] (numeric) = 0.9966897448480228 absolute error = 1.287858708565182e-14 relative error = 1.292136008444206e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.631999999999881 y1[1] (analytic) = 0.0803024242249151 y1[1] (numeric) = 0.08030242422479529 absolute error = 1.198069421448622e-13 relative error = 1.491946766255784e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9967705456440824 y2[1] (numeric) = 0.9967705456440951 absolute error = 1.265654248072678e-14 relative error = 1.269754863447386e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.632999999999881 y1[1] (analytic) = 0.07930561369419033 y1[1] (numeric) = 0.07930561369407084 absolute error = 1.194877530252825e-13 relative error = 1.506674590351676e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9968503496696923 y2[1] (numeric) = 0.9968503496697049 absolute error = 1.254552017826427e-14 relative error = 1.258515902855553e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.633999999999881 y1[1] (analytic) = 0.07830872385785848 y1[1] (numeric) = 0.07830872385773931 absolute error = 1.191685639057027e-13 relative error = 1.521778903229361e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9969291568450357 y2[1] (numeric) = 0.996929156845048 absolute error = 1.232347557333924e-14 relative error = 1.2361435603247e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.634999999999882 y1[1] (analytic) = 0.07731175571280929 y1[1] (numeric) = 0.07731175571269044 absolute error = 1.18849374786123e-13 relative error = 1.537274295355727e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9970069670913052 y2[1] (numeric) = 0.9970069670913174 absolute error = 1.221245327087672e-14 relative error = 1.224911527600019e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.635999999999882 y1[1] (analytic) = 0.07631471025601083 y1[1] (numeric) = 0.07631471025589232 absolute error = 1.185163078787355e-13 relative error = 1.552994271761658e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9970837803306907 y2[1] (numeric) = 0.9970837803307028 absolute error = 1.210143096841421e-14 relative error = 1.213682461507966e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.636999999999882 y1[1] (analytic) = 0.07531758848450848 y1[1] (numeric) = 0.07531758848439028 absolute error = 1.181971187591557e-13 relative error = 1.569316293012579e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.997159596486379 y2[1] (numeric) = 0.997159596486391 absolute error = 1.199040866595169e-14 relative error = 1.202456327773553e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.637999999999883 y1[1] (analytic) = 0.07432039139542393 y1[1] (numeric) = 0.07432039139530605 absolute error = 1.17877929639576e-13 relative error = 1.586077890957313e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.997234415482554 y2[1] (numeric) = 0.9972344154825658 absolute error = 1.176836406102666e-14 relative error = 1.180100072592465e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.638999999999883 y1[1] (analytic) = 0.07332311998595417 y1[1] (numeric) = 0.07332311998583661 absolute error = 1.175587405199963e-13 relative error = 1.603297030220698e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9973082372443964 y2[1] (numeric) = 0.9973082372444081 absolute error = 1.165734175856414e-14 relative error = 1.168880524919142e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.639999999999883 y1[1] (analytic) = 0.07232577525337053 y1[1] (numeric) = 0.0723257752532533 absolute error = 1.172256736126087e-13 relative error = 1.620800789233791e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9973810616980848 y2[1] (numeric) = 0.9973810616980964 absolute error = 1.154631945610163e-14 relative error = 1.157663795665371e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.640999999999884 y1[1] (analytic) = 0.07132835819501766 y1[1] (numeric) = 0.07132835819490076 absolute error = 1.16906484493029e-13 relative error = 1.638990262097396e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9974528887707946 y2[1] (numeric) = 0.9974528887708061 absolute error = 1.143529715363911e-14 relative error = 1.146449850652228e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.641999999999884 y1[1] (analytic) = 0.07033086980831256 y1[1] (numeric) = 0.07033086980819596 absolute error = 1.166011731612571e-13 relative error = 1.657894655349132e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9975237183906989 y2[1] (numeric) = 0.9975237183907101 absolute error = 1.121325254871408e-14 relative error = 1.124108864980612e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.642999999999884 y1[1] (analytic) = 0.06933331109074349 y1[1] (numeric) = 0.06933331109062722 absolute error = 1.162681062538695e-13 relative error = 1.676944378174839e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9975935504869677 y2[1] (numeric) = 0.9975935504869788 absolute error = 1.110223024625157e-14 relative error = 1.112901165091945e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.643999999999885 y1[1] (analytic) = 0.06833568303986912 y1[1] (numeric) = 0.06833568303975317 absolute error = 1.159489171342898e-13 relative error = 1.696755076943354e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9976623849897692 y2[1] (numeric) = 0.9976623849897802 absolute error = 1.099120794378905e-14 relative error = 1.10169613580267e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.644999999999885 y1[1] (analytic) = 0.0673379866533174 y1[1] (numeric) = 0.06733798665320177 absolute error = 1.156297280147101e-13 relative error = 1.717154517999144e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9977302218302689 y2[1] (numeric) = 0.9977302218302798 absolute error = 1.088018564132653e-14 relative error = 1.090493743024799e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.645999999999885 y1[1] (analytic) = 0.06634022292878464 y1[1] (numeric) = 0.06634022292866934 absolute error = 1.152966611073225e-13 relative error = 1.737960109526493e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9977970609406299 y2[1] (numeric) = 0.9977970609406407 absolute error = 1.076916333886402e-14 relative error = 1.079293952691327e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.646999999999886 y1[1] (analytic) = 0.06534239286403448 y1[1] (numeric) = 0.0653423928639195 absolute error = 1.149774719877428e-13 relative error = 1.759615265804388e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9978629022540131 y2[1] (numeric) = 0.9978629022540237 absolute error = 1.06581410364015e-14 relative error = 1.068096730755945e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.647999999999886 y1[1] (analytic) = 0.0643444974568969 y1[1] (numeric) = 0.06434449745678225 absolute error = 1.146444050803552e-13 relative error = 1.781728191399012e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9979277457045772 y2[1] (numeric) = 0.9979277457045878 absolute error = 1.054711873393899e-14 relative error = 1.056902043192746e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.648999999999886 y1[1] (analytic) = 0.06334653770526723 y1[1] (numeric) = 0.0633465377051529 absolute error = 1.143252159607755e-13 relative error = 1.804758714559855e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9979915912274788 y2[1] (numeric) = 0.9979915912274891 absolute error = 1.032507412901396e-14 relative error = 1.034585283059814e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.649999999999887 y1[1] (analytic) = 0.06234851460710512 y1[1] (numeric) = 0.06234851460699112 absolute error = 1.139990879472919e-13 relative error = 1.828417062790791e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9980544387588723 y2[1] (numeric) = 0.9980544387588826 absolute error = 1.021405182655144e-14 relative error = 1.023396262758281e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.650999999999887 y1[1] (analytic) = 0.06135042916043361 y1[1] (numeric) = 0.06135042916031994 absolute error = 1.136729599338082e-13 relative error = 1.852847021437279e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9981162882359103 y2[1] (numeric) = 0.9981162882359204 absolute error = 1.010302952408892e-14 relative error = 1.012209663660054e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.651999999999887 y1[1] (analytic) = 0.06035228236333805 y1[1] (numeric) = 0.0603522823632247 absolute error = 1.133468319203246e-13 relative error = 1.878086917043901e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.998177139596743 y2[1] (numeric) = 0.998177139596753 absolute error = 9.992007221626409e-15 relative error = 1.001025451821419e-12 % Correct digits = 13 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.652999999999888 y1[1] (analytic) = 0.05935407521396515 y1[1] (numeric) = 0.05935407521385213 absolute error = 1.130207039068409e-13 relative error = 1.904177657547747e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9982369927805195 y2[1] (numeric) = 0.9982369927805294 absolute error = 9.880984919163893e-15 relative error = 9.898435933175647e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.653999999999888 y1[1] (analytic) = 0.05835580871052199 y1[1] (numeric) = 0.05835580871040929 absolute error = 1.127015147872612e-13 relative error = 1.931281859982865e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9982958477273863 y2[1] (numeric) = 0.9982958477273961 absolute error = 9.769962616701378e-15 relative error = 9.786640542423001e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.654999999999888 y1[1] (analytic) = 0.05735748385127498 y1[1] (numeric) = 0.0573574838511626 absolute error = 1.123823256676815e-13 relative error = 1.9593315138977e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9983537043784887 y2[1] (numeric) = 0.9983537043784982 absolute error = 9.547918011776346e-15 relative error = 9.563662627685917e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.655999999999889 y1[1] (analytic) = 0.05635910163454889 y1[1] (numeric) = 0.05635910163443684 absolute error = 1.120561976541978e-13 relative error = 1.988253794051001e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9984105626759698 y2[1] (numeric) = 0.9984105626759793 absolute error = 9.436895709313831e-15 relative error = 9.451918942064054e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.656999999999889 y1[1] (analytic) = 0.05536066305872588 y1[1] (numeric) = 0.05536066305861414 absolute error = 1.117370085346181e-13 relative error = 2.018346644730193e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9984664225629715 y2[1] (numeric) = 0.9984664225629808 absolute error = 9.325873406851315e-15 relative error = 9.340197322722837e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.657999999999889 y1[1] (analytic) = 0.05436216912224441 y1[1] (numeric) = 0.054362169122133 absolute error = 1.114108805211345e-13 relative error = 2.049419335542046e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9985212839836337 y2[1] (numeric) = 0.9985212839836429 absolute error = 9.214851104388799e-15 relative error = 9.228497431347528e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.65899999999989 y1[1] (analytic) = 0.05336362082359836 y1[1] (numeric) = 0.05336362082348726 absolute error = 1.110916914015547e-13 relative error = 2.081786986846065e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9985751468830952 y2[1] (numeric) = 0.9985751468831043 absolute error = 9.103828801926284e-15 relative error = 9.116818929794658e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.65999999999989 y1[1] (analytic) = 0.05236501916133592 y1[1] (numeric) = 0.05236501916122516 absolute error = 1.107655633880711e-13 relative error = 2.115258719696137e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9986280112074931 y2[1] (numeric) = 0.9986280112075021 absolute error = 8.992806499463768e-15 relative error = 9.005161480089165e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.66099999999989 y1[1] (analytic) = 0.05136636513405868 y1[1] (numeric) = 0.05136636513394825 absolute error = 1.104324964806835e-13 relative error = 2.149898989201804e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.998679876903963 y2[1] (numeric) = 0.9986798769039719 absolute error = 8.881784197001252e-15 relative error = 8.89352474442154e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.661999999999891 y1[1] (analytic) = 0.0503676597404206 y1[1] (numeric) = 0.05036765974031049 absolute error = 1.101133073611038e-13 relative error = 2.186190661400467e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9987307439206391 y2[1] (numeric) = 0.9987307439206479 absolute error = 8.770761894538737e-15 relative error = 8.781908385144972e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.662999999999891 y1[1] (analytic) = 0.04936890397912697 y1[1] (numeric) = 0.04936890397901719 absolute error = 1.097871793476202e-13 relative error = 2.223812369706199e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9987806122066546 y2[1] (numeric) = 0.9987806122066633 absolute error = 8.659739592076221e-15 relative error = 8.6703120647725e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.663999999999891 y1[1] (analytic) = 0.04837009884893348 y1[1] (numeric) = 0.04837009884882402 absolute error = 1.094610513341365e-13 relative error = 2.262990027702829e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9988294817121411 y2[1] (numeric) = 0.9988294817121496 absolute error = 8.43769498715119e-15 relative error = 8.447583037584889e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.664999999999892 y1[1] (analytic) = 0.04737124534864517 y1[1] (numeric) = 0.04737124534853603 absolute error = 1.091349233206529e-13 relative error = 2.303822129172168e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9988773523882292 y2[1] (numeric) = 0.9988773523882375 absolute error = 8.326672684688674e-15 relative error = 8.336031110106082e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.665999999999892 y1[1] (analytic) = 0.04637234447711545 y1[1] (numeric) = 0.04637234447700665 absolute error = 1.088087953071692e-13 relative error = 2.346415660758017e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.998924224187048 y2[1] (numeric) = 0.9989242241870563 absolute error = 8.326672684688674e-15 relative error = 8.335639964548012e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.666999999999892 y1[1] (analytic) = 0.04537339723324513 y1[1] (numeric) = 0.04537339723313664 absolute error = 1.084826672936856e-13 relative error = 2.390887037530447e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9989700970617259 y2[1] (numeric) = 0.9989700970617341 absolute error = 8.215650382226158e-15 relative error = 8.224120428019696e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.667999999999893 y1[1] (analytic) = 0.04437440461598135 y1[1] (numeric) = 0.04437440461587319 absolute error = 1.08156539280202e-13 relative error = 2.437363165009083e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.99901497096639 y2[1] (numeric) = 0.9990149709663981 absolute error = 8.104628079763643e-15 relative error = 8.112619245258846e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.668999999999893 y1[1] (analytic) = 0.04337536762431666 y1[1] (numeric) = 0.04337536762420882 absolute error = 1.078373501606222e-13 relative error = 2.486142621190548e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9990588458561664 y2[1] (numeric) = 0.9990588458561744 absolute error = 7.993605777301127e-15 relative error = 8.001136079677892e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.669999999999893 y1[1] (analytic) = 0.04237628725728795 y1[1] (numeric) = 0.04237628725718044 absolute error = 1.075112221471386e-13 relative error = 2.537060915563069e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9991017216871803 y2[1] (numeric) = 0.9991017216871881 absolute error = 7.882583474838611e-15 relative error = 7.889670594829238e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.670999999999894 y1[1] (analytic) = 0.04137716451397552 y1[1] (numeric) = 0.04137716451386834 absolute error = 1.07178155239751e-13 relative error = 2.590273076917841e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9991435984165556 y2[1] (numeric) = 0.9991435984165634 absolute error = 7.771561172376096e-15 relative error = 7.778222454402428e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.671999999999894 y1[1] (analytic) = 0.04037800039350202 y1[1] (numeric) = 0.04037800039339517 absolute error = 1.068520272262674e-13 relative error = 2.646293184034516e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9991844760024159 y2[1] (numeric) = 0.9991844760024235 absolute error = 7.66053886991358e-15 relative error = 7.666791322221321e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.672999999999894 y1[1] (analytic) = 0.03937879589503149 y1[1] (numeric) = 0.03937879589492497 absolute error = 1.065258992127838e-13 relative error = 2.705158875267295e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9992243544038834 y2[1] (numeric) = 0.9992243544038909 absolute error = 7.549516567451064e-15 relative error = 7.555376862241263e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.673999999999895 y1[1] (analytic) = 0.03837955201776835 y1[1] (numeric) = 0.03837955201766215 absolute error = 1.061997711993001e-13 relative error = 2.767092517133432e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9992632335810797 y2[1] (numeric) = 0.9992632335810872 absolute error = 7.438494264988549e-15 relative error = 7.443978738546266e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.674999999999895 y1[1] (analytic) = 0.0373802697609564 y1[1] (numeric) = 0.03738026976085052 absolute error = 1.058736431858165e-13 relative error = 2.832340265676768e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9993011134951257 y2[1] (numeric) = 0.9993011134951331 absolute error = 7.327471962526033e-15 relative error = 7.332596615346185e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.675999999999895 y1[1] (analytic) = 0.03638095012387779 y1[1] (numeric) = 0.03638095012377224 absolute error = 1.055475151723329e-13 relative error = 2.9011753352494e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9993379941081415 y2[1] (numeric) = 0.9993379941081487 absolute error = 7.216449660063518e-15 relative error = 7.221230156973901e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.676999999999896 y1[1] (analytic) = 0.03538159410585209 y1[1] (numeric) = 0.03538159410574687 absolute error = 1.052213871588492e-13 relative error = 2.973901821496665e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9993738753832465 y2[1] (numeric) = 0.9993738753832536 absolute error = 7.105427357601002e-15 relative error = 7.109879027882498e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.677999999999896 y1[1] (analytic) = 0.03438220270623524 y1[1] (numeric) = 0.03438220270613034 absolute error = 1.048952591453656e-13 relative error = 3.050859191355496e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9994087572845594 y2[1] (numeric) = 0.9994087572845664 absolute error = 6.994405055138486e-15 relative error = 6.99854289264246e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.678999999999896 y1[1] (analytic) = 0.03338277692441854 y1[1] (numeric) = 0.03338277692431398 absolute error = 1.045691311318819e-13 relative error = 3.132427579905511e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9994426397771983 y2[1] (numeric) = 0.9994426397772052 absolute error = 6.883382752675971e-15 relative error = 6.887221415938843e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.679999999999897 y1[1] (analytic) = 0.0323833177598277 y1[1] (numeric) = 0.03238331775972347 absolute error = 1.042360642244944e-13 relative error = 3.218819794733996e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9994755228272807 y2[1] (numeric) = 0.9994755228272875 absolute error = 6.772360450213455e-15 relative error = 6.775914262568475e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.680999999999897 y1[1] (analytic) = 0.0313838262119218 y1[1] (numeric) = 0.03138382621181789 absolute error = 1.039099362110107e-13 relative error = 3.31093906489765e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995074064019235 y2[1] (numeric) = 0.9995074064019303 absolute error = 6.772360450213455e-15 relative error = 6.775698115727762e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.681999999999897 y1[1] (analytic) = 0.03038430328019231 y1[1] (numeric) = 0.03038430328008872 absolute error = 1.035838081975271e-13 relative error = 3.409122376192642e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995382904692433 y2[1] (numeric) = 0.9995382904692499 absolute error = 6.661338147750939e-15 relative error = 6.664415171752657e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.682999999999898 y1[1] (analytic) = 0.02938474996416206 y1[1] (numeric) = 0.02938474996405881 absolute error = 1.032576801840435e-13 relative error = 3.513988729186995e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995681749983558 y2[1] (numeric) = 0.9995681749983624 absolute error = 6.550315845288424e-15 relative error = 6.553145657422715e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.683999999999898 y1[1] (analytic) = 0.0283851672633843 y1[1] (numeric) = 0.02838516726328138 absolute error = 1.029280827236079e-13 relative error = 3.626122114009201e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995970599593766 y2[1] (numeric) = 0.9995970599593831 absolute error = 6.439293542825908e-15 relative error = 6.441889237937134e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.684999999999898 y1[1] (analytic) = 0.02738555617744165 y1[1] (numeric) = 0.02738555617733904 absolute error = 1.026019547101242e-13 relative error = 3.746571880641253e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9996249453234208 y2[1] (numeric) = 0.9996249453234272 absolute error = 6.328271240363392e-15 relative error = 6.330645578593409e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.685999999999899 y1[1] (analytic) = 0.02638591770594509 y1[1] (numeric) = 0.02638591770584282 absolute error = 1.022723572496886e-13 relative error = 3.876020473854709e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.999651831062603 y2[1] (numeric) = 0.9996518310626092 absolute error = 6.217248937900877e-15 relative error = 6.219414344784532e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.686999999999899 y1[1] (analytic) = 0.02538625284853303 y1[1] (numeric) = 0.02538625284843109 absolute error = 1.01946229236205e-13 relative error = 4.015804531864814e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9996777171500375 y2[1] (numeric) = 0.9996777171500435 absolute error = 5.995204332975845e-15 relative error = 5.997137107414439e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.687999999999899 y1[1] (analytic) = 0.02438656260487024 y1[1] (numeric) = 0.02438656260476862 absolute error = 1.016201012227214e-13 relative error = 4.167053096791378e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997026035598381 y2[1] (numeric) = 0.999702603559844 absolute error = 5.88418203051333e-15 relative error = 5.885932485881665e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6889999999999 y1[1] (analytic) = 0.02338684797464687 y1[1] (numeric) = 0.02338684797454558 absolute error = 1.012905037622858e-13 relative error = 4.331088305362587e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997264902671184 y2[1] (numeric) = 0.9997264902671242 absolute error = 5.88418203051333e-15 relative error = 5.885791851870532e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6899999999999 y1[1] (analytic) = 0.02238710995757748 y1[1] (numeric) = 0.02238710995747652 absolute error = 1.009643757488021e-13 relative error = 4.509933436701962e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997493772479917 y2[1] (numeric) = 0.9997493772479975 absolute error = 5.773159728050814e-15 relative error = 5.774606975942891e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.6909999999999 y1[1] (analytic) = 0.0213873495534 y1[1] (numeric) = 0.02138734955329936 absolute error = 1.006382477353185e-13 relative error = 4.705503479243401e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997712644795712 y2[1] (numeric) = 0.9997712644795769 absolute error = 5.662137425588298e-15 relative error = 5.663432853849537e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.691999999999901 y1[1] (analytic) = 0.02038756776187474 y1[1] (numeric) = 0.02038756776177443 absolute error = 1.003086502748829e-13 relative error = 4.920089117371939e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997921519399695 y2[1] (numeric) = 0.9997921519399751 absolute error = 5.551115123125783e-15 relative error = 5.552269151497689e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.692999999999901 y1[1] (analytic) = 0.01938776558278343 y1[1] (numeric) = 0.01938776558268344 absolute error = 9.998252226139925e-14 relative error = 5.156990465687544e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998120396082991 y2[1] (numeric) = 0.9998120396083046 absolute error = 5.440092820663267e-15 relative error = 5.441115534870491e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.693999999999901 y1[1] (analytic) = 0.01838794401592814 y1[1] (numeric) = 0.01838794401582849 absolute error = 9.965292480096366e-14 relative error = 5.4194707529369e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998309274646724 y2[1] (numeric) = 0.9998309274646778 absolute error = 5.440092820663267e-15 relative error = 5.441012746483065e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.694999999999902 y1[1] (analytic) = 0.01738810406113037 y1[1] (numeric) = 0.01738810406103105 absolute error = 9.932679678748002e-14 relative error = 5.712341980372467e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998488154902017 y2[1] (numeric) = 0.9998488154902069 absolute error = 5.218048215738236e-15 relative error = 5.218837223085525e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.695999999999902 y1[1] (analytic) = 0.01638824671822999 y1[1] (numeric) = 0.01638824671813099 absolute error = 9.899719932704443e-14 relative error = 6.040743773824305e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998657036669987 y2[1] (numeric) = 0.9998657036670038 absolute error = 5.10702591327572e-15 relative error = 5.107711860248579e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.696999999999902 y1[1] (analytic) = 0.01538837298708426 y1[1] (numeric) = 0.01538837298698559 absolute error = 9.866933659008481e-14 relative error = 6.411940799257971e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998815919781754 y2[1] (numeric) = 0.9998815919781804 absolute error = 4.996003610813204e-15 relative error = 4.996595247772351e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.697999999999903 y1[1] (analytic) = 0.01438848386756682 y1[1] (numeric) = 0.01438848386746848 absolute error = 9.833973912964922e-14 relative error = 6.834614406547551e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998964804078434 y2[1] (numeric) = 0.9998964804078483 absolute error = 4.884981308350689e-15 relative error = 4.885487051977795e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.698999999999903 y1[1] (analytic) = 0.01338858035956671 y1[1] (numeric) = 0.0133885803594687 absolute error = 9.801014166921362e-14 relative error = 7.320428233392287e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9999103689411144 y2[1] (numeric) = 0.9999103689411192 absolute error = 4.773959005888173e-15 relative error = 4.774386939245067e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.699999999999903 y1[1] (analytic) = 0.01238866346298736 y1[1] (numeric) = 0.01238866346288968 absolute error = 9.768054420877803e-14 relative error = 7.884671700107967e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9999232575640997 y2[1] (numeric) = 0.9999232575641044 absolute error = 4.662936703425657e-15 relative error = 4.663294576010741e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.700999999999904 y1[1] (analytic) = 0.01138873417774558 y1[1] (numeric) = 0.01138873417764823 absolute error = 9.735268147181841e-14 relative error = 8.548156445871979e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9999351462639108 y2[1] (numeric) = 0.9999351462639153 absolute error = 4.551914400963142e-15 relative error = 4.552209628765029e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.701999999999904 y1[1] (analytic) = 0.01038879350377057 y1[1] (numeric) = 0.01038879350367355 absolute error = 9.702134928790684e-14 relative error = 9.339039153362065e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.999946035028659 y2[1] (numeric) = 0.9999460350286634 absolute error = 4.440892098500626e-15 relative error = 4.441131764048995e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.702999999999904 y1[1] (analytic) = 0.009388842441002925 y1[1] (numeric) = 0.009388842440906233 absolute error = 9.669175182747125e-14 relative error = 1.029858072867421e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999559238474554 y2[1] (numeric) = 0.9999559238474598 absolute error = 4.440892098500626e-15 relative error = 4.441087844565927e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.703999999999905 y1[1] (analytic) = 0.008388881989393618 y1[1] (numeric) = 0.008388881989297256 absolute error = 9.636215436703566e-14 relative error = 1.148688877598588e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999648127104114 y2[1] (numeric) = 0.9999648127104156 absolute error = 4.218847493575595e-15 relative error = 4.218995948607812e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.704999999999905 y1[1] (analytic) = 0.007388913148903022 y1[1] (numeric) = 0.007388913148806989 absolute error = 9.603342426833805e-14 relative error = 1.299696211513806e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999727016086379 y2[1] (numeric) = 0.999972701608642 absolute error = 4.107825191113079e-15 relative error = 4.107937331194037e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.705999999999905 y1[1] (analytic) = 0.006388936919499892 y1[1] (numeric) = 0.006388936919404189 absolute error = 9.570382680790246e-14 relative error = 1.497961679912687e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999795905342462 y2[1] (numeric) = 0.9999795905342502 absolute error = 3.996802888650564e-15 relative error = 3.996884462927132e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.706999999999906 y1[1] (analytic) = 0.005388954301160376 y1[1] (numeric) = 0.005388954301065002 absolute error = 9.537422934746687e-14 relative error = 1.76980957747091e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999854794803472 y2[1] (numeric) = 0.9999854794803512 absolute error = 3.996802888650564e-15 relative error = 3.996860925148177e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.707999999999906 y1[1] (analytic) = 0.004388966293867006 y1[1] (numeric) = 0.004388966293771963 absolute error = 9.504376452529328e-14 relative error = 2.165515936135218e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999903684410522 y2[1] (numeric) = 0.999990368441056 absolute error = 3.885780586188048e-15 relative error = 3.885818012673297e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.708999999999906 y1[1] (analytic) = 0.003388973897607709 y1[1] (numeric) = 0.003388973897512996 absolute error = 9.47132997031197e-14 relative error = 2.79474857478183e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.999994257411472 y2[1] (numeric) = 0.9999942574114757 absolute error = 3.774758283725532e-15 relative error = 3.774779960733631e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.709999999999907 y1[1] (analytic) = 0.002388978112374797 y1[1] (numeric) = 0.002388978112280414 absolute error = 9.438326856181511e-14 relative error = 3.950779962064705e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999971463877178 y2[1] (numeric) = 0.9999971463877214 absolute error = 3.663735981263017e-15 relative error = 3.663746436174846e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.710999999999907 y1[1] (analytic) = 0.001388979938163971 y1[1] (numeric) = 0.001388979938069918 absolute error = 9.405302058007603e-14 relative error = 6.771373581133245e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999990353669004 y2[1] (numeric) = 0.999999035366904 absolute error = 3.663735981263017e-15 relative error = 3.663739515427422e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.711999999999907 y1[1] (analytic) = 0.0003889803749733233 y1[1] (numeric) = 0.0003889803748796006 absolute error = 9.372271838822832e-14 relative error = 2.409445936563147e-08 % Correct digits = 9 h = 0.001 y2[1] (analytic) = 0.999999924347131 y2[1] (numeric) = 0.9999999243471346 absolute error = 3.552713678800501e-15 relative error = 3.552713947573504e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.712999999999908 y1[1] (analytic) = -0.0006110195771976672 y1[1] (numeric) = -0.0006110195772910595 absolute error = 9.339230777616336e-14 relative error = 1.52846670158247e-08 % Correct digits = 9 h = 0.001 y2[1] (analytic) = 0.9999998133275207 y2[1] (numeric) = 0.9999998133275241 absolute error = 3.33066907387547e-15 relative error = 3.330669695619839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.713999999999908 y1[1] (analytic) = -0.001611018918349132 y1[1] (numeric) = -0.001611018918442193 absolute error = 9.306162611355528e-14 relative error = 5.776569415393262e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999987023081803 y2[1] (numeric) = 0.9999987023081837 absolute error = 3.33066907387547e-15 relative error = 3.330673396063089e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.714999999999908 y1[1] (analytic) = -0.002611016648481812 y1[1] (numeric) = -0.002611016648574543 absolute error = 9.273094445094721e-14 relative error = 3.551526356787731e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.999996591290221 y2[1] (numeric) = 0.9999965912902242 absolute error = 3.219646771412954e-15 relative error = 3.219657746291799e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.715999999999909 y1[1] (analytic) = -0.003611011767598061 y1[1] (numeric) = -0.003611011767690461 absolute error = 9.240047962877362e-14 relative error = 2.558852908148669e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999934802757537 y2[1] (numeric) = 0.9999934802757569 absolute error = 3.108624468950438e-15 relative error = 3.1086447364569e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.716999999999909 y1[1] (analytic) = -0.004611003275702844 y1[1] (numeric) = -0.004611003275794914 absolute error = 9.206958112573105e-14 relative error = 1.996736406822376e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999893692678895 y2[1] (numeric) = 0.9999893692678925 absolute error = 2.997602166487923e-15 relative error = 2.997634033532298e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.717999999999909 y1[1] (analytic) = -0.005610990172804735 y1[1] (numeric) = -0.005610990172896474 absolute error = 9.173911630355747e-14 relative error = 1.634989787510185e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999842582707393 y2[1] (numeric) = 0.9999842582707422 absolute error = 2.886579864025407e-15 relative error = 2.886625304499427e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.71899999999991 y1[1] (analytic) = -0.006610971458916921 y1[1] (numeric) = -0.006610971459008329 absolute error = 9.14077841196459e-14 relative error = 1.382667958675793e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999781472894143 y2[1] (numeric) = 0.999978147289417 absolute error = 2.775557561562891e-15 relative error = 2.77561821634447e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.71999999999991 y1[1] (analytic) = -0.007610946134058199 y1[1] (numeric) = -0.007610946134149275 absolute error = 9.107645193573433e-14 relative error = 1.196650854329091e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999710363300252 y2[1] (numeric) = 0.9999710363300278 absolute error = 2.664535259100376e-15 relative error = 2.664612436055585e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.72099999999991 y1[1] (analytic) = -0.008610913198253977 y1[1] (numeric) = -0.008610913198344722 absolute error = 9.074511975182276e-14 relative error = 1.053838514714363e-09 % Correct digits = 10 h = 0.001 y2[1] (analytic) = 0.9999629253996831 y2[1] (numeric) = 0.9999629253996857 absolute error = 2.55351295663786e-15 relative error = 2.553607630620132e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.721999999999911 y1[1] (analytic) = -0.009610871651537274 y1[1] (numeric) = -0.009610871651627688 absolute error = 9.041378756791119e-14 relative error = 9.407449276824892e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9999538145064989 y2[1] (numeric) = 0.9999538145065014 absolute error = 2.55351295663786e-15 relative error = 2.553630897341073e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.722999999999911 y1[1] (analytic) = -0.01061082049394972 y1[1] (numeric) = -0.0106108204940398 absolute error = 9.008072066052364e-14 relative error = 8.489515086216714e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9999437036595836 y2[1] (numeric) = 0.9999437036595861 absolute error = 2.442490654175344e-15 relative error = 2.442628165202043e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.723999999999911 y1[1] (analytic) = -0.01161075872554256 y1[1] (numeric) = -0.01161075872563231 absolute error = 8.974938847661207e-14 relative error = 7.729846997782496e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.999932592869048 y2[1] (numeric) = 0.9999325928690503 absolute error = 2.331468351712829e-15 relative error = 2.331625519899579e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.724999999999912 y1[1] (analytic) = -0.01261068534637764 y1[1] (numeric) = -0.01261068534646706 absolute error = 8.941979101617648e-14 relative error = 7.090795508735924e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9999204821460028 y2[1] (numeric) = 0.999920482146005 absolute error = 2.220446049250313e-15 relative error = 2.220622628396261e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.725999999999912 y1[1] (analytic) = -0.01361059935652842 y1[1] (numeric) = -0.01361059935661751 absolute error = 8.908672410878893e-14 relative error = 6.545393173009523e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9999073715025588 y2[1] (numeric) = 0.9999073715025609 absolute error = 2.109423746787797e-15 relative error = 2.109619157640543e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.726999999999912 y1[1] (analytic) = -0.01461049975608098 y1[1] (numeric) = -0.01461049975616974 absolute error = 8.875539192487736e-14 relative error = 6.074767694920005e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998932609518266 y2[1] (numeric) = 0.9998932609518286 absolute error = 1.998401444325282e-15 relative error = 1.998614774563984e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.727999999999913 y1[1] (analytic) = -0.01561038554513501 y1[1] (numeric) = -0.01561038554522343 absolute error = 8.842232501748981e-14 relative error = 5.664326788203301e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998781505079167 y2[1] (numeric) = 0.9998781505079187 absolute error = 1.998401444325282e-15 relative error = 1.99864497820073e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.728999999999913 y1[1] (analytic) = -0.01661025572380478 y1[1] (numeric) = -0.01661025572389287 absolute error = 8.808925811010226e-14 relative error = 5.303305353924096e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998620401859397 y2[1] (numeric) = 0.9998620401859416 absolute error = 1.887379141862766e-15 relative error = 1.887639560265513e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.729999999999913 y1[1] (analytic) = -0.01761010929222022 y1[1] (numeric) = -0.01761010929230798 absolute error = 8.775619120271472e-14 relative error = 4.983284870439933e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998449300020059 y2[1] (numeric) = 0.9998449300020077 absolute error = 1.77635683940025e-15 relative error = 1.776632341773926e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.730999999999914 y1[1] (analytic) = -0.01860994525052784 y1[1] (numeric) = -0.01860994525061526 absolute error = 8.742312429532717e-14 relative error = 4.697656178910445e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998268199732253 y2[1] (numeric) = 0.9998268199732271 absolute error = 1.77635683940025e-15 relative error = 1.776664522209776e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.731999999999914 y1[1] (analytic) = -0.01960976259889175 y1[1] (numeric) = -0.01960976259897884 absolute error = 8.709005738793962e-14 relative error = 4.441158170515615e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9998077101177082 y2[1] (numeric) = 0.9998077101177099 absolute error = 1.665334536937735e-15 relative error = 1.665654825508071e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.732999999999914 y1[1] (analytic) = -0.0206095603374947 y1[1] (numeric) = -0.02060956033758146 absolute error = 8.675699048055208e-14 relative error = 4.209550764783479e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997876004545642 y2[1] (numeric) = 0.9997876004545658 absolute error = 1.665334536937735e-15 relative error = 1.665688328381521e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.733999999999915 y1[1] (analytic) = -0.02160933746653903 y1[1] (numeric) = -0.02160933746662546 absolute error = 8.642739302011648e-14 relative error = 3.999539234090122e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.999766491003903 y2[1] (numeric) = 0.9997664910039046 absolute error = 1.554312234475219e-15 relative error = 1.554675265135638e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.734999999999915 y1[1] (analytic) = -0.0226090929862477 y1[1] (numeric) = -0.02260909298633379 absolute error = 8.609432611272894e-14 relative error = 3.807951347942045e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997443817868341 y2[1] (numeric) = 0.9997443817868357 absolute error = 1.554312234475219e-15 relative error = 1.554709646577069e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.735999999999915 y1[1] (analytic) = -0.02360882589686526 y1[1] (numeric) = -0.02360882589695102 absolute error = 8.576472865229334e-14 relative error = 3.632740104355679e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9997212728254669 y2[1] (numeric) = 0.9997212728254683 absolute error = 1.443289932012704e-15 relative error = 1.443692328296265e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.736999999999916 y1[1] (analytic) = -0.02460853519865889 y1[1] (numeric) = -0.02460853519874432 absolute error = 8.54316617449058e-14 relative error = 3.471627264899604e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.99969716414291 y2[1] (numeric) = 0.9996971641429114 absolute error = 1.443289932012704e-15 relative error = 1.44372714435987e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.737999999999916 y1[1] (analytic) = -0.02560821989191937 y1[1] (numeric) = -0.02560821989200447 absolute error = 8.509859483751825e-14 relative error = 3.323096849241402e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9996720557632723 y2[1] (numeric) = 0.9996720557632737 absolute error = 1.332267629550188e-15 relative error = 1.332704682370031e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.738999999999916 y1[1] (analytic) = -0.0266078789769621 y1[1] (numeric) = -0.02660787897704687 absolute error = 8.47655279301307e-14 relative error = 3.185730362180437e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9996459477116623 y2[1] (numeric) = 0.9996459477116635 absolute error = 1.221245327087672e-15 relative error = 1.221677864931363e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.739999999999917 y1[1] (analytic) = -0.02760751145412807 y1[1] (numeric) = -0.0276075114542125 absolute error = 8.443246102274315e-14 relative error = 3.058314805484513e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9996188400141877 y2[1] (numeric) = 0.9996188400141889 absolute error = 1.221245327087672e-15 relative error = 1.221710994432977e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.740999999999917 y1[1] (analytic) = -0.02860711632378488 y1[1] (numeric) = -0.02860711632386898 absolute error = 8.409939411535561e-14 relative error = 2.939806765683427e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995907326979565 y2[1] (numeric) = 0.9995907326979576 absolute error = 1.110223024625157e-15 relative error = 1.110677588645302e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.741999999999917 y1[1] (analytic) = -0.02960669258632775 y1[1] (numeric) = -0.02960669258641152 absolute error = 8.376979665492001e-14 relative error = 2.82942096320494e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995616257910758 y2[1] (numeric) = 0.9995616257910769 absolute error = 1.110223024625157e-15 relative error = 1.110709931212596e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.742999999999918 y1[1] (analytic) = -0.03060623924218051 y1[1] (numeric) = -0.03060623924226394 absolute error = 8.343672974753247e-14 relative error = 2.726134664481833e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995315193226527 y2[1] (numeric) = 0.9995315193226537 absolute error = 9.992007221626409e-16 relative error = 9.996690477952751e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.743999999999918 y1[1] (analytic) = -0.03160575529179657 y1[1] (numeric) = -0.03160575529187967 absolute error = 8.310713228709687e-14 relative error = 2.629493632403961e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9995004133227935 y2[1] (numeric) = 0.9995004133227945 absolute error = 9.992007221626409e-16 relative error = 9.997001590433002e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.744999999999918 y1[1] (analytic) = -0.03260523973565997 y1[1] (numeric) = -0.03260523973574275 absolute error = 8.277406537970933e-14 relative error = 2.538673723940766e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9994683078226043 y2[1] (numeric) = 0.9994683078226052 absolute error = 8.881784197001252e-16 relative error = 8.886509084365765e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.745999999999919 y1[1] (analytic) = -0.03360469157428636 y1[1] (numeric) = -0.0336046915743688 absolute error = 8.244099847232178e-14 relative error = 2.45325859605282e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9994352028541906 y2[1] (numeric) = 0.9994352028541914 absolute error = 7.771561172376096e-16 relative error = 7.775953008441212e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.746999999999919 y1[1] (analytic) = -0.03460410980822397 y1[1] (numeric) = -0.03460410980830608 absolute error = 8.211487045883814e-14 relative error = 2.372980288003907e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9994010984506573 y2[1] (numeric) = 0.9994010984506581 absolute error = 7.771561172376096e-16 relative error = 7.776218361600887e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.747999999999919 y1[1] (analytic) = -0.03560349343805465 y1[1] (numeric) = -0.03560349343813644 absolute error = 8.178180355145059e-14 relative error = 2.297016265938624e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9993659946461089 y2[1] (numeric) = 0.9993659946461095 absolute error = 6.661338147750939e-16 relative error = 6.665564151109447e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74899999999992 y1[1] (analytic) = -0.03660284146439487 y1[1] (numeric) = -0.03660284146447632 absolute error = 8.144873664406305e-14 relative error = 2.225202563120452e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.999329891475649 y2[1] (numeric) = 0.9993298914756497 absolute error = 6.661338147750939e-16 relative error = 6.665804960476616e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.74999999999992 y1[1] (analytic) = -0.03760215288789667 y1[1] (numeric) = -0.03760215288797779 absolute error = 8.11156697366755e-14 relative error = 2.15720812525032e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.999292788975381 y2[1] (numeric) = 0.9992927889753815 absolute error = 5.551115123125783e-16 relative error = 5.555043711280641e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.75099999999992 y1[1] (analytic) = -0.03860142670924872 y1[1] (numeric) = -0.03860142670932951 absolute error = 8.078260282928795e-14 relative error = 2.092736194383531e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9992546871824072 y2[1] (numeric) = 0.9992546871824077 absolute error = 5.551115123125783e-16 relative error = 5.555255526274518e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.751999999999921 y1[1] (analytic) = -0.03960066192917728 y1[1] (numeric) = -0.03960066192925773 absolute error = 8.044953592190041e-14 relative error = 2.031519979786656e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9992155861348295 y2[1] (numeric) = 0.99921558613483 absolute error = 4.440892098500626e-16 relative error = 4.444378330485122e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.752999999999921 y1[1] (analytic) = -0.04059985754844721 y1[1] (numeric) = -0.04059985754852732 absolute error = 8.011646901451286e-14 relative error = 1.973318968395666e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9991754858717491 y2[1] (numeric) = 0.9991754858717494 absolute error = 3.33066907387547e-16 relative error = 3.333417523719135e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.753999999999921 y1[1] (analytic) = -0.04159901256786296 y1[1] (numeric) = -0.04159901256794275 absolute error = 7.979034100102922e-14 relative error = 1.918082571572161e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9991343864332659 y2[1] (numeric) = 0.9991343864332662 absolute error = 3.33066907387547e-16 relative error = 3.333554644000766e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.754999999999922 y1[1] (analytic) = -0.04259812598826963 y1[1] (numeric) = -0.04259812598834908 absolute error = 7.945033519973776e-14 relative error = 1.865113390706817e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9990922878604797 y2[1] (numeric) = 0.9990922878604799 absolute error = 2.220446049250313e-16 relative error = 2.222463406263819e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.755999999999922 y1[1] (analytic) = -0.04359719681055384 y1[1] (numeric) = -0.04359719681063296 absolute error = 7.911726829235022e-14 relative error = 1.814732920470653e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9990491901954888 y2[1] (numeric) = 0.9990491901954889 absolute error = 1.110223024625157e-16 relative error = 1.111279640202615e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.756999999999922 y1[1] (analytic) = -0.04459622403564489 y1[1] (numeric) = -0.04459622403572367 absolute error = 7.878420138496267e-14 relative error = 1.766611480873179e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9990050934813909 y2[1] (numeric) = 0.999005093481391 absolute error = 1.110223024625157e-16 relative error = 1.111328692785927e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.757999999999923 y1[1] (analytic) = -0.04559520666451562 y1[1] (numeric) = -0.04559520666459406 absolute error = 7.844419558367122e-14 relative error = 1.720448295384529e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9989599977622828 y2[1] (numeric) = 0.9989599977622828 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] = 4.758999999999923 y1[1] (analytic) = -0.04659414369818347 y1[1] (numeric) = -0.04659414369826159 absolute error = 7.811112867628367e-14 relative error = 1.676415155995858e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9989139030832602 y2[1] (numeric) = 0.9989139030832602 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] = 4.759999999999923 y1[1] (analytic) = -0.04759303413771152 y1[1] (numeric) = -0.04759303413778929 absolute error = 7.777806176889612e-14 relative error = 1.63423205051066e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9988668094904178 y2[1] (numeric) = 0.9988668094904177 absolute error = 1.110223024625157e-16 relative error = 1.111482546097961e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.760999999999924 y1[1] (analytic) = -0.04859187698420939 y1[1] (numeric) = -0.04859187698428683 absolute error = 7.744499486150858e-14 relative error = 1.593784798366102e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9988187170308491 y2[1] (numeric) = 0.998818717030849 absolute error = 1.110223024625157e-16 relative error = 1.111536063246266e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.761999999999924 y1[1] (analytic) = -0.04959067123883432 y1[1] (numeric) = -0.04959067123891144 absolute error = 7.711192795412103e-14 relative error = 1.554968425064085e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9987696257526466 y2[1] (numeric) = 0.9987696257526465 absolute error = 1.110223024625157e-16 relative error = 1.11159069719258e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.762999999999924 y1[1] (analytic) = -0.05058941590279216 y1[1] (numeric) = -0.05058941590286893 absolute error = 7.677192215282957e-14 relative error = 1.517549091698296e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9987195357049017 y2[1] (numeric) = 0.9987195357049015 absolute error = 2.220446049250313e-16 relative error = 2.223292896421727e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.763999999999925 y1[1] (analytic) = -0.0515881099773383 y1[1] (numeric) = -0.05158810997741474 absolute error = 7.643885524544203e-14 relative error = 1.481714590416672e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9986684469377042 y2[1] (numeric) = 0.998668446937704 absolute error = 2.220446049250313e-16 relative error = 2.223406633161428e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.764999999999925 y1[1] (analytic) = -0.05258675246377877 y1[1] (numeric) = -0.05258675246385487 absolute error = 7.610578833805448e-14 relative error = 1.447242599559184e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.998616359502143 y2[1] (numeric) = 0.9986163595021427 absolute error = 3.33066907387547e-16 relative error = 3.3352839077621e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.765999999999925 y1[1] (analytic) = -0.05358534236347115 y1[1] (numeric) = -0.05358534236354692 absolute error = 7.577272143066693e-14 relative error = 1.414056868699244e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9985632734503055 y2[1] (numeric) = 0.9985632734503052 absolute error = 3.33066907387547e-16 relative error = 3.335461219565095e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.766999999999926 y1[1] (analytic) = -0.05458387867782564 y1[1] (numeric) = -0.05458387867790108 absolute error = 7.543965452327939e-14 relative error = 1.382086732394968e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9985091888352777 y2[1] (numeric) = 0.9985091888352774 absolute error = 3.33066907387547e-16 relative error = 3.335641886040695e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.767999999999926 y1[1] (analytic) = -0.05558236040830599 y1[1] (numeric) = -0.0555823604083811 absolute error = 7.511352650979575e-14 relative error = 1.351391447898479e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9984541057111445 y2[1] (numeric) = 0.998454105711144 absolute error = 4.440892098500626e-16 relative error = 4.447767877460547e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.768999999999926 y1[1] (analytic) = -0.05658078655643058 y1[1] (numeric) = -0.05658078655650535 absolute error = 7.477352070850429e-14 relative error = 1.321535546946299e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9983980241329886 y2[1] (numeric) = 0.9983980241329881 absolute error = 5.551115123125783e-16 relative error = 5.560022144421195e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.769999999999927 y1[1] (analytic) = -0.05757915612377331 y1[1] (numeric) = -0.05757915612384776 absolute error = 7.444739269502065e-14 relative error = 1.292957342670793e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9983409441568918 y2[1] (numeric) = 0.9983409441568912 absolute error = 5.551115123125783e-16 relative error = 5.560340037755089e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.770999999999927 y1[1] (analytic) = -0.05857746811196473 y1[1] (numeric) = -0.05857746811203884 absolute error = 7.41073868937292e-14 relative error = 1.265117617444316e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9982828658399341 y2[1] (numeric) = 0.9982828658399334 absolute error = 6.661338147750939e-16 relative error = 6.672796234107685e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.771999999999927 y1[1] (analytic) = -0.05957572152269291 y1[1] (numeric) = -0.05957572152276669 absolute error = 7.378125888024556e-14 relative error = 1.238445074511463e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9982237892401936 y2[1] (numeric) = 0.9982237892401929 absolute error = 6.661338147750939e-16 relative error = 6.673191141658998e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.772999999999928 y1[1] (analytic) = -0.06057391535770453 y1[1] (numeric) = -0.06057391535777798 absolute error = 7.344819197285801e-14 relative error = 1.212538293737949e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9981637144167472 y2[1] (numeric) = 0.9981637144167465 absolute error = 7.771561172376096e-16 relative error = 7.785858231600032e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.773999999999928 y1[1] (analytic) = -0.06157204861880585 y1[1] (numeric) = -0.06157204861887896 absolute error = 7.310818617156656e-14 relative error = 1.187359976020633e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9981026414296695 y2[1] (numeric) = 0.9981026414296688 absolute error = 7.771561172376096e-16 relative error = 7.786334641138922e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.774999999999928 y1[1] (analytic) = -0.06257012030786367 y1[1] (numeric) = -0.06257012030793645 absolute error = 7.277511926417901e-14 relative error = 1.163097000710622e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9980405703400336 y2[1] (numeric) = 0.9980405703400328 absolute error = 7.771561172376096e-16 relative error = 7.786818896278251e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.775999999999929 y1[1] (analytic) = -0.06356812942680641 y1[1] (numeric) = -0.06356812942687885 absolute error = 7.244205235679146e-14 relative error = 1.139597043518524e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9979775012099105 y2[1] (numeric) = 0.9979775012099096 absolute error = 8.881784197001252e-16 relative error = 8.89978399937204e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.776999999999929 y1[1] (analytic) = -0.06456607497762501 y1[1] (numeric) = -0.06456607497769712 absolute error = 7.210898544940392e-14 relative error = 1.116824671073669e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9979134341023693 y2[1] (numeric) = 0.9979134341023683 absolute error = 9.992007221626409e-16 relative error = 1.001289979687897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.777999999999929 y1[1] (analytic) = -0.06556395596237402 y1[1] (numeric) = -0.0655639559624458 absolute error = 7.177591854201637e-14 relative error = 1.094746610213808e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9978483690814771 y2[1] (numeric) = 0.9978483690814761 absolute error = 9.992007221626409e-16 relative error = 1.001355269120105e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.77899999999993 y1[1] (analytic) = -0.06656177138317253 y1[1] (numeric) = -0.06656177138324397 absolute error = 7.144285163462882e-14 relative error = 1.073331585834122e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9977823062122991 y2[1] (numeric) = 0.997782306212298 absolute error = 1.110223024625157e-15 relative error = 1.11269063172677e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.77999999999993 y1[1] (analytic) = -0.0675595202422052 y1[1] (numeric) = -0.06755952024227631 absolute error = 7.110978472724128e-14 relative error = 1.052550173125981e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9977152455608981 y2[1] (numeric) = 0.9977152455608969 absolute error = 1.221245327087672e-15 relative error = 1.224041962394901e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.78099999999993 y1[1] (analytic) = -0.06855720154172326 y1[1] (numeric) = -0.06855720154179404 absolute error = 7.077671781985373e-14 relative error = 1.032374662737359e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.9976471871943345 y2[1] (numeric) = 0.9976471871943333 absolute error = 1.221245327087672e-15 relative error = 1.224125465157837e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.781999999999931 y1[1] (analytic) = -0.06955481428404549 y1[1] (numeric) = -0.06955481428411593 absolute error = 7.044365091246618e-14 relative error = 1.012778937555507e-10 % Correct digits = 11 h = 0.001 y2[1] (analytic) = 0.997578131180667 y2[1] (numeric) = 0.9975781311806657 absolute error = 1.221245327087672e-15 relative error = 1.2242102036081e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.782999999999931 y1[1] (analytic) = -0.07055235747155923 y1[1] (numeric) = -0.07055235747162934 absolute error = 7.011058400507864e-14 relative error = 9.937383599597125e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9975080775889513 y2[1] (numeric) = 0.9975080775889501 absolute error = 1.221245327087672e-15 relative error = 1.22429617817182e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.783999999999931 y1[1] (analytic) = -0.07154983010672138 y1[1] (numeric) = -0.07154983010679115 absolute error = 6.977751709769109e-14 relative error = 9.752296685207112e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9974370264892413 y2[1] (numeric) = 0.9974370264892399 absolute error = 1.332267629550188e-15 relative error = 1.335690970125178e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.784999999999932 y1[1] (analytic) = -0.07254723119205939 y1[1] (numeric) = -0.07254723119212883 absolute error = 6.944445019030354e-14 relative error = 9.572308832360309e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9973649779525877 y2[1] (numeric) = 0.9973649779525864 absolute error = 1.332267629550188e-15 relative error = 1.335787458955192e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.785999999999932 y1[1] (analytic) = -0.07354455973017225 y1[1] (numeric) = -0.07354455973024135 absolute error = 6.909750549510818e-14 relative error = 9.395325194497067e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9972919320510395 y2[1] (numeric) = 0.9972919320510381 absolute error = 1.443289932012704e-15 relative error = 1.447209072517433e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.786999999999932 y1[1] (analytic) = -0.0745418147237315 y1[1] (numeric) = -0.07454181472380027 absolute error = 6.876443858772063e-14 relative error = 9.224948284741509e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9972178888576422 y2[1] (numeric) = 0.9972178888576407 absolute error = 1.443289932012704e-15 relative error = 1.447316527450242e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.787999999999933 y1[1] (analytic) = -0.07553899517548225 y1[1] (numeric) = -0.07553899517555068 absolute error = 6.843137168033309e-14 relative error = 9.059078893141527e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9971428484464392 y2[1] (numeric) = 0.9971428484464377 absolute error = 1.443289932012704e-15 relative error = 1.447425445874046e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.788999999999933 y1[1] (analytic) = -0.07653610008824412 y1[1] (numeric) = -0.07653610008831221 absolute error = 6.809830477294554e-14 relative error = 8.897540467103756e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9970668108924708 y2[1] (numeric) = 0.9970668108924694 absolute error = 1.443289932012704e-15 relative error = 1.44753582833714e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.789999999999933 y1[1] (analytic) = -0.07753312846491227 y1[1] (numeric) = -0.07753312846498003 absolute error = 6.776523786555799e-14 relative error = 8.740165553389897e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9969897762717748 y2[1] (numeric) = 0.9969897762717732 absolute error = 1.554312234475219e-15 relative error = 1.559005188887234e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.790999999999934 y1[1] (analytic) = -0.07853007930845843 y1[1] (numeric) = -0.07853007930852585 absolute error = 6.741829317036263e-14 relative error = 8.585028025446175e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9969117446613853 y2[1] (numeric) = 0.9969117446613838 absolute error = 1.554312234475219e-15 relative error = 1.559127217428021e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.791999999999934 y1[1] (analytic) = -0.07952695162193181 y1[1] (numeric) = -0.0795269516219989 absolute error = 6.708522626297508e-14 relative error = 8.435533475732325e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9968327161393344 y2[1] (numeric) = 0.9968327161393328 absolute error = 1.665334536937735e-15 relative error = 1.670625883335233e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.792999999999934 y1[1] (analytic) = -0.0805237444084602 y1[1] (numeric) = -0.08052374440852696 absolute error = 6.675215935558754e-14 relative error = 8.289748551307339e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9967526907846505 y2[1] (numeric) = 0.9967526907846488 absolute error = 1.665334536937735e-15 relative error = 1.670760011319129e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.793999999999935 y1[1] (analytic) = -0.08152045667125089 y1[1] (numeric) = -0.08152045667131731 absolute error = 6.641909244819999e-14 relative error = 8.147536846616247e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9966716686773587 y2[1] (numeric) = 0.996671668677357 absolute error = 1.665334536937735e-15 relative error = 1.670895831871825e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.794999999999935 y1[1] (analytic) = -0.08251708741359172 y1[1] (numeric) = -0.08251708741365779 absolute error = 6.607214775300463e-14 relative error = 8.007086753054934e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9965896498984814 y2[1] (numeric) = 0.9965896498984796 absolute error = 1.77635683940025e-15 relative error = 1.782435568722995e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.795999999999935 y1[1] (analytic) = -0.08351363563885199 y1[1] (numeric) = -0.08351363563891774 absolute error = 6.57529586334249e-14 relative error = 7.873320102811508e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9965066345300372 y2[1] (numeric) = 0.9965066345300354 absolute error = 1.77635683940025e-15 relative error = 1.782584056992253e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.796999999999936 y1[1] (analytic) = -0.08451010035048359 y1[1] (numeric) = -0.08451010035054901 absolute error = 6.541989172603735e-14 relative error = 7.741073724291584e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9964226226550414 y2[1] (numeric) = 0.9964226226550397 absolute error = 1.77635683940025e-15 relative error = 1.782734352886345e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.797999999999936 y1[1] (analytic) = -0.08550648055202188 y1[1] (numeric) = -0.08550648055208697 absolute error = 6.50868248186498e-14 relative error = 7.611917178493995e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9963376143575062 y2[1] (numeric) = 0.9963376143575043 absolute error = 1.887379141862766e-15 relative error = 1.894316860735859e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.798999999999936 y1[1] (analytic) = -0.08650277524708674 y1[1] (numeric) = -0.0865027752471515 absolute error = 6.475375791126226e-14 relative error = 7.485743402601761e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9962516097224395 y2[1] (numeric) = 0.9962516097224376 absolute error = 1.887379141862766e-15 relative error = 1.894480393751734e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.799999999999937 y1[1] (analytic) = -0.08749898343938357 y1[1] (numeric) = -0.08749898343944799 absolute error = 6.442069100387471e-14 relative error = 7.362450221893521e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9961646088358462 y2[1] (numeric) = 0.9961646088358442 absolute error = 1.998401444325282e-15 relative error = 2.006095605685777e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.800999999999937 y1[1] (analytic) = -0.08849510413270426 y1[1] (numeric) = -0.08849510413276834 absolute error = 6.408762409648716e-14 relative error = 7.241940073925844e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9960766117847271 y2[1] (numeric) = 0.9960766117847251 absolute error = 1.998401444325282e-15 relative error = 2.006272831509047e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.801999999999937 y1[1] (analytic) = -0.08949113633092817 y1[1] (numeric) = -0.08949113633099193 absolute error = 6.375455718909961e-14 relative error = 7.124119751183225e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9959876186570791 y2[1] (numeric) = 0.9959876186570771 absolute error = 1.998401444325282e-15 relative error = 2.006452095277839e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.802999999999938 y1[1] (analytic) = -0.09048707903802322 y1[1] (numeric) = -0.09048707903808664 absolute error = 6.342149028171207e-14 relative error = 7.008900160769028e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9958976295418955 y2[1] (numeric) = 0.9958976295418934 absolute error = 2.109423746787797e-15 relative error = 2.118113031113564e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.803999999999938 y1[1] (analytic) = -0.09148293125804677 y1[1] (numeric) = -0.09148293125810986 absolute error = 6.308842337432452e-14 relative error = 6.896196099835324e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9958066445291653 y2[1] (numeric) = 0.9958066445291632 absolute error = 2.109423746787797e-15 relative error = 2.118306559186668e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.804999999999938 y1[1] (analytic) = -0.09247869199514669 y1[1] (numeric) = -0.09247869199520943 absolute error = 6.274147867912916e-14 relative error = 6.784425398493077e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9957146637098736 y2[1] (numeric) = 0.9957146637098715 absolute error = 2.109423746787797e-15 relative error = 2.118502241323254e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.805999999999939 y1[1] (analytic) = -0.09347436025356232 y1[1] (numeric) = -0.09347436025362472 absolute error = 6.240841177174161e-14 relative error = 6.676527296089541e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9956216871760012 y2[1] (numeric) = 0.9956216871759991 absolute error = 2.109423746787797e-15 relative error = 2.118700078511753e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.806999999999939 y1[1] (analytic) = -0.09446993503762548 y1[1] (numeric) = -0.09446993503768755 absolute error = 6.207534486435407e-14 relative error = 6.570910082623716e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9955277150205246 y2[1] (numeric) = 0.9955277150205224 absolute error = 2.220446049250313e-15 relative error = 2.230421128159686e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.807999999999939 y1[1] (analytic) = -0.09546541535176147 y1[1] (numeric) = -0.09546541535182322 absolute error = 6.175615574477433e-14 relative error = 6.468955853512122e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9954327473374159 y2[1] (numeric) = 0.9954327473374137 absolute error = 2.220446049250313e-15 relative error = 2.230633917951327e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.80899999999994 y1[1] (analytic) = -0.09646080020049007 y1[1] (numeric) = -0.09646080020055149 absolute error = 6.142308883738679e-14 relative error = 6.367673574106917e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9953367842216428 y2[1] (numeric) = 0.9953367842216406 absolute error = 2.220446049250313e-15 relative error = 2.230848979410231e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.80999999999994 y1[1] (analytic) = -0.09745608858842651 y1[1] (numeric) = -0.09745608858848759 absolute error = 6.107614414219142e-14 relative error = 6.267042421549081e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9952398257691685 y2[1] (numeric) = 0.9952398257691663 absolute error = 2.220446049250313e-15 relative error = 2.231066313623701e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.81099999999994 y1[1] (analytic) = -0.09845127952028247 y1[1] (numeric) = -0.09845127952034323 absolute error = 6.075695502261169e-14 relative error = 6.171271243873964e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9951418720769513 y2[1] (numeric) = 0.995141872076949 absolute error = 2.220446049250313e-15 relative error = 2.231285921690785e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.811999999999941 y1[1] (analytic) = -0.09944637200086713 y1[1] (numeric) = -0.09944637200092755 absolute error = 6.042388811522414e-14 relative error = 6.07602740044627e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9950429232429449 y2[1] (numeric) = 0.9950429232429426 absolute error = 2.220446049250313e-15 relative error = 2.231507804722289e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.812999999999941 y1[1] (analytic) = -0.1004413650350881 y1[1] (numeric) = -0.1004413650351482 absolute error = 6.00908212078366e-14 relative error = 5.982676677765634e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9949429793660982 y2[1] (numeric) = 0.994942979366096 absolute error = 2.220446049250313e-15 relative error = 2.231731963840794e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.813999999999941 y1[1] (analytic) = -0.1014362576279524 y1[1] (numeric) = -0.1014362576280121 absolute error = 5.974387651264124e-14 relative error = 5.889795021004193e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9948420405463552 y2[1] (numeric) = 0.9948420405463528 absolute error = 2.331468351712829e-15 relative error = 2.3435563201897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.814999999999942 y1[1] (analytic) = -0.1024310487845674 y1[1] (numeric) = -0.1024310487846269 absolute error = 5.94246873930615e-14 relative error = 5.801433071142643e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9947401068846543 y2[1] (numeric) = 0.9947401068846521 absolute error = 2.220446049250313e-15 relative error = 2.232187114888076e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.815999999999942 y1[1] (analytic) = -0.1034257375101423 y1[1] (numeric) = -0.1034257375102014 absolute error = 5.909162048567396e-14 relative error = 5.713434770516305e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9946371784829295 y2[1] (numeric) = 0.9946371784829273 absolute error = 2.220446049250313e-15 relative error = 2.232418109121005e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.816999999999942 y1[1] (analytic) = -0.1044203228099883 y1[1] (numeric) = -0.104420322810047 absolute error = 5.875855357828641e-14 relative error = 5.627118552890156e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9945332554441092 y2[1] (numeric) = 0.994533255444107 absolute error = 2.220446049250313e-15 relative error = 2.232651384049266e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.817999999999943 y1[1] (analytic) = -0.1054148036895201 y1[1] (numeric) = -0.1054148036895785 absolute error = 5.842548667089886e-14 relative error = 5.542436605296953e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9944283378721164 y2[1] (numeric) = 0.994428337872114 absolute error = 2.331468351712829e-15 relative error = 2.344531287897244e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.818999999999943 y1[1] (analytic) = -0.1064091791542571 y1[1] (numeric) = -0.1064091791543152 absolute error = 5.809241976351132e-14 relative error = 5.459342908688083e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9943224258718684 y2[1] (numeric) = 0.9943224258718661 absolute error = 2.220446049250313e-15 relative error = 2.233124780730277e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.819999999999943 y1[1] (analytic) = -0.1074034482098237 y1[1] (numeric) = -0.1074034482098815 absolute error = 5.775935285612377e-14 relative error = 5.377793154581491e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9942155195492774 y2[1] (numeric) = 0.9942155195492752 absolute error = 2.220446049250313e-15 relative error = 2.233364904881932e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.820999999999944 y1[1] (analytic) = -0.1083976098619511 y1[1] (numeric) = -0.1083976098620086 absolute error = 5.742628594873622e-14 relative error = 5.297744666314229e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9941076190112498 y2[1] (numeric) = 0.9941076190112476 absolute error = 2.220446049250313e-15 relative error = 2.233607314526764e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.821999999999944 y1[1] (analytic) = -0.1093916631164777 y1[1] (numeric) = -0.1093916631165348 absolute error = 5.709321904134868e-14 relative error = 5.219156324605572e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.993998724365686 y2[1] (numeric) = 0.9939987243656837 absolute error = 2.331468351712829e-15 relative error = 2.345544611438652e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.822999999999944 y1[1] (analytic) = -0.1103856069793503 y1[1] (numeric) = -0.110385606979407 absolute error = 5.676015213396113e-14 relative error = 5.141988497157894e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9938888357214807 y2[1] (numeric) = 0.9938888357214783 absolute error = 2.331468351712829e-15 relative error = 2.345803944985836e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.823999999999945 y1[1] (analytic) = -0.1113794404566251 y1[1] (numeric) = -0.1113794404566815 absolute error = 5.642708522657358e-14 relative error = 5.066202972042062e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9937779531885225 y2[1] (numeric) = 0.9937779531885201 absolute error = 2.331468351712829e-15 relative error = 2.346065682210342e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.824999999999945 y1[1] (analytic) = -0.1123731625544687 y1[1] (numeric) = -0.1123731625545248 absolute error = 5.609401831918603e-14 relative error = 4.99176289463212e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9936660768776938 y2[1] (numeric) = 0.9936660768776915 absolute error = 2.331468351712829e-15 relative error = 2.346329824440409e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.825999999999945 y1[1] (analytic) = -0.1133667722791591 y1[1] (numeric) = -0.1133667722792149 absolute error = 5.576095141179849e-14 relative error = 4.918632707870555e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9935532069008711 y2[1] (numeric) = 0.9935532069008688 absolute error = 2.331468351712829e-15 relative error = 2.346596373016835e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.826999999999946 y1[1] (analytic) = -0.1143602686370867 y1[1] (numeric) = -0.1143602686371421 absolute error = 5.541400671660313e-14 relative error = 4.845564580864627e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9934393433709243 y2[1] (numeric) = 0.993439343370922 absolute error = 2.331468351712829e-15 relative error = 2.346865329293003e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.827999999999946 y1[1] (analytic) = -0.1153536506347552 y1[1] (numeric) = -0.1153536506348103 absolute error = 5.508093980921558e-14 relative error = 4.7749628647314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.993324486401717 y2[1] (numeric) = 0.9933244864017146 absolute error = 2.442490654175344e-15 relative error = 2.458905108665126e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.828999999999946 y1[1] (analytic) = -0.1163469172787827 y1[1] (numeric) = -0.1163469172788374 absolute error = 5.474787290182803e-14 relative error = 4.705571422287439e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9932086361081059 y2[1] (numeric) = 0.9932086361081035 absolute error = 2.442490654175344e-15 relative error = 2.459191921393534e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.829999999999947 y1[1] (analytic) = -0.1173400675759025 y1[1] (numeric) = -0.117340067575957 absolute error = 5.441480599444048e-14 relative error = 4.637359353763943e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9930917926059416 y2[1] (numeric) = 0.9930917926059392 absolute error = 2.442490654175344e-15 relative error = 2.459481260806798e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.830999999999947 y1[1] (analytic) = -0.1183331005329646 y1[1] (numeric) = -0.1183331005330187 absolute error = 5.409561687486075e-14 relative error = 4.571469574549944e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9929739560120675 y2[1] (numeric) = 0.992973956012065 absolute error = 2.55351295663786e-15 relative error = 2.571580997847267e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.831999999999947 y1[1] (analytic) = -0.119326015156936 y1[1] (numeric) = -0.1193260151569898 absolute error = 5.376254996747321e-14 relative error = 4.505517920527673e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9928551264443201 y2[1] (numeric) = 0.9928551264443175 absolute error = 2.55351295663786e-15 relative error = 2.57188877674699e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.832999999999948 y1[1] (analytic) = -0.1203188104549022 y1[1] (numeric) = -0.1203188104549557 absolute error = 5.342948306008566e-14 relative error = 4.440659183554017e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9927353040215289 y2[1] (numeric) = 0.9927353040215263 absolute error = 2.55351295663786e-15 relative error = 2.572199201835259e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.833999999999948 y1[1] (analytic) = -0.121311485434068 y1[1] (numeric) = -0.1213114854341211 absolute error = 5.309641615269811e-14 relative error = 4.376866375241581e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9926144888635164 y2[1] (numeric) = 0.9926144888635139 absolute error = 2.55351295663786e-15 relative error = 2.572512274691334e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.834999999999948 y1[1] (analytic) = -0.1223040391017585 y1[1] (numeric) = -0.1223040391018112 absolute error = 5.274947145750275e-14 relative error = 4.312978691865977e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9924926810910978 y2[1] (numeric) = 0.9924926810910952 absolute error = 2.55351295663786e-15 relative error = 2.572827996908403e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.835999999999949 y1[1] (analytic) = -0.12329647046542 y1[1] (numeric) = -0.1232964704654724 absolute error = 5.24164045501152e-14 relative error = 4.251249395238449e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9923698808260808 y2[1] (numeric) = 0.9923698808260782 absolute error = 2.55351295663786e-15 relative error = 2.573146370093612e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.836999999999949 y1[1] (analytic) = -0.1242887785326213 y1[1] (numeric) = -0.1242887785326734 absolute error = 5.208333764272766e-14 relative error = 4.190510057113294e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9922460881912657 y2[1] (numeric) = 0.9922460881912631 absolute error = 2.55351295663786e-15 relative error = 2.573467395868074e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.837999999999949 y1[1] (analytic) = -0.1252809623110545 y1[1] (numeric) = -0.1252809623111062 absolute error = 5.176414852314792e-14 relative error = 4.13184474067377e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9921213033104451 y2[1] (numeric) = 0.9921213033104425 absolute error = 2.664535259100376e-15 relative error = 2.685695035687198e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.83899999999995 y1[1] (analytic) = -0.1262730208085358 y1[1] (numeric) = -0.1262730208085872 absolute error = 5.140332604014475e-14 relative error = 4.070808293886162e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9919955263084038 y2[1] (numeric) = 0.9919955263084012 absolute error = 2.664535259100376e-15 relative error = 2.686035560075694e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.83999999999995 y1[1] (analytic) = -0.1272649530330068 y1[1] (numeric) = -0.1272649530330579 absolute error = 5.10702591327572e-14 relative error = 4.012908339306256e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9918687573109189 y2[1] (numeric) = 0.9918687573109163 absolute error = 2.664535259100376e-15 relative error = 2.686378857545898e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.84099999999995 y1[1] (analytic) = -0.1282567579925354 y1[1] (numeric) = -0.1282567579925861 absolute error = 5.073719222536965e-14 relative error = 3.955907900644314e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9917409964447593 y2[1] (numeric) = 0.9917409964447568 absolute error = 2.55351295663786e-15 relative error = 2.574778057770946e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.841999999999951 y1[1] (analytic) = -0.1292484346953167 y1[1] (numeric) = -0.1292484346953671 absolute error = 5.040412531798211e-14 relative error = 3.899786131785819e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.991612243837686 y2[1] (numeric) = 0.9916122438376834 absolute error = 2.55351295663786e-15 relative error = 2.575112371298873e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.842999999999951 y1[1] (analytic) = -0.130239982149674 y1[1] (numeric) = -0.1302399821497241 absolute error = 5.007105841059456e-14 relative error = 3.844522825030185e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9914824996184515 y2[1] (numeric) = 0.9914824996184488 absolute error = 2.664535259100376e-15 relative error = 2.687425406021548e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.843999999999951 y1[1] (analytic) = -0.1312313993640601 y1[1] (numeric) = -0.1312313993641098 absolute error = 4.973799150320701e-14 relative error = 3.790098386836877e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9913517639167999 y2[1] (numeric) = 0.9913517639167972 absolute error = 2.664535259100376e-15 relative error = 2.687779813466897e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.844999999999952 y1[1] (analytic) = -0.1322226853470577 y1[1] (numeric) = -0.1322226853471071 absolute error = 4.940492459581947e-14 relative error = 3.73649381466891e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.991220036863467 y2[1] (numeric) = 0.9912200368634644 absolute error = 2.664535259100376e-15 relative error = 2.688137002891715e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.845999999999952 y1[1] (analytic) = -0.133213839107381 y1[1] (numeric) = -0.1332138391074301 absolute error = 4.907185768843192e-14 relative error = 3.68369067487621e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.99108731859018 y2[1] (numeric) = 0.9910873185901773 absolute error = 2.664535259100376e-15 relative error = 2.688496976119796e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.846999999999952 y1[1] (analytic) = -0.1342048596538763 y1[1] (numeric) = -0.1342048596539251 absolute error = 4.873879078104437e-14 relative error = 3.631671081564789e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9909536092296568 y2[1] (numeric) = 0.9909536092296541 absolute error = 2.664535259100376e-15 relative error = 2.688859734989734e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.847999999999953 y1[1] (analytic) = -0.1351957459955231 y1[1] (numeric) = -0.1351957459955715 absolute error = 4.840572387365683e-14 relative error = 3.580417676400833e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9908189089156071 y2[1] (numeric) = 0.9908189089156044 absolute error = 2.664535259100376e-15 relative error = 2.689225281354948e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.848999999999953 y1[1] (analytic) = -0.1361864971414352 y1[1] (numeric) = -0.1361864971414833 absolute error = 4.807265696626928e-14 relative error = 3.529913609301799e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9906832177827309 y2[1] (numeric) = 0.9906832177827283 absolute error = 2.664535259100376e-15 relative error = 2.689593617083702e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.849999999999953 y1[1] (analytic) = -0.1371771121008616 y1[1] (numeric) = -0.1371771121009093 absolute error = 4.773959005888173e-14 relative error = 3.480142519969401e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9905465359667196 y2[1] (numeric) = 0.9905465359667169 absolute error = 2.664535259100376e-15 relative error = 2.689964744059131e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.850999999999954 y1[1] (analytic) = -0.1381675898831872 y1[1] (numeric) = -0.1381675898832346 absolute error = 4.743427872710981e-14 relative error = 3.433097354250211e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9904088636042548 y2[1] (numeric) = 0.9904088636042522 absolute error = 2.664535259100376e-15 relative error = 2.690338664179266e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.851999999999954 y1[1] (analytic) = -0.1391579294979345 y1[1] (numeric) = -0.1391579294979815 absolute error = 4.707345624410664e-14 relative error = 3.382736177086147e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.990270200833009 y2[1] (numeric) = 0.9902702008330063 absolute error = 2.664535259100376e-15 relative error = 2.690715379357054e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.852999999999954 y1[1] (analytic) = -0.1401481299547638 y1[1] (numeric) = -0.1401481299548106 absolute error = 4.676814491233472e-14 relative error = 3.337050942273027e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9901305477916448 y2[1] (numeric) = 0.9901305477916422 absolute error = 2.55351295663786e-15 relative error = 2.578965937707035e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.853999999999955 y1[1] (analytic) = -0.1411381902634749 y1[1] (numeric) = -0.1411381902635213 absolute error = 4.643507800494717e-14 relative error = 3.290043461536724e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9899899046198154 y2[1] (numeric) = 0.9899899046198128 absolute error = 2.55351295663786e-15 relative error = 2.579332319169944e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.854999999999955 y1[1] (analytic) = -0.1421281094340075 y1[1] (numeric) = -0.1421281094340536 absolute error = 4.612976667317525e-14 relative error = 3.245646962931995e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9898482714581638 y2[1] (numeric) = 0.9898482714581613 absolute error = 2.442490654175344e-15 relative error = 2.467540455040919e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.855999999999955 y1[1] (analytic) = -0.1431178864764425 y1[1] (numeric) = -0.1431178864764883 absolute error = 4.579669976578771e-14 relative error = 3.199928457113287e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9897056484483233 y2[1] (numeric) = 0.9897056484483209 absolute error = 2.442490654175344e-15 relative error = 2.467896043641583e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.856999999999956 y1[1] (analytic) = -0.1441075204010029 y1[1] (numeric) = -0.1441075204010484 absolute error = 4.546363285840016e-14 relative error = 3.154841102802276e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9895620357329168 y2[1] (numeric) = 0.9895620357329143 absolute error = 2.442490654175344e-15 relative error = 2.468254203352011e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.857999999999956 y1[1] (analytic) = -0.145097010218055 y1[1] (numeric) = -0.1450970102181001 absolute error = 4.510281037539698e-14 relative error = 3.108458975661558e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.989417433455557 y2[1] (numeric) = 0.9894174334555546 absolute error = 2.442490654175344e-15 relative error = 2.468614936008257e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.858999999999956 y1[1] (analytic) = -0.1460863549381089 y1[1] (numeric) = -0.1460863549381537 absolute error = 4.479749904362507e-14 relative error = 3.066508098076923e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9892718417608463 y2[1] (numeric) = 0.9892718417608438 absolute error = 2.442490654175344e-15 relative error = 2.468978243460213e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.859999999999957 y1[1] (analytic) = -0.1470755535718201 y1[1] (numeric) = -0.1470755535718645 absolute error = 4.446443213623752e-14 relative error = 3.023237448807195e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9891252607943761 y2[1] (numeric) = 0.9891252607943737 absolute error = 2.442490654175344e-15 relative error = 2.469344127571625e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.860999999999957 y1[1] (analytic) = -0.1480646051299899 y1[1] (numeric) = -0.148064605130034 absolute error = 4.410360965323434e-14 relative error = 2.978673371297252e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9889776907027277 y2[1] (numeric) = 0.9889776907027252 absolute error = 2.442490654175344e-15 relative error = 2.469712590220118e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.861999999999957 y1[1] (analytic) = -0.149053508623567 y1[1] (numeric) = -0.1490535086236107 absolute error = 4.37705427458468e-14 relative error = 2.936565744077104e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.988829131633471 y2[1] (numeric) = 0.9888291316334685 absolute error = 2.442490654175344e-15 relative error = 2.470083633297225e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.862999999999958 y1[1] (analytic) = -0.1500422630636478 y1[1] (numeric) = -0.1500422630636913 absolute error = 4.343747583845925e-14 relative error = 2.895016040915959e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.988679583735165 y2[1] (numeric) = 0.9886795837351625 absolute error = 2.442490654175344e-15 relative error = 2.470457258708407e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.863999999999958 y1[1] (analytic) = -0.1510308674614781 y1[1] (numeric) = -0.1510308674615212 absolute error = 4.31044089310717e-14 relative error = 2.8540131997895e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9885290471573577 y2[1] (numeric) = 0.9885290471573552 absolute error = 2.442490654175344e-15 relative error = 2.470833468373075e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.864999999999958 y1[1] (analytic) = -0.1520193208284535 y1[1] (numeric) = -0.1520193208284963 absolute error = 4.277134202368416e-14 relative error = 2.81354644860896e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9883775220505856 y2[1] (numeric) = 0.9883775220505832 absolute error = 2.442490654175344e-15 relative error = 2.471212264224617e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.865999999999959 y1[1] (analytic) = -0.1530076221761208 y1[1] (numeric) = -0.1530076221761632 absolute error = 4.243827511629661e-14 relative error = 2.773605295783739e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9882250085663737 y2[1] (numeric) = 0.9882250085663714 absolute error = 2.331468351712829e-15 relative error = 2.359248482382681e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.866999999999959 y1[1] (analytic) = -0.1539957705161786 y1[1] (numeric) = -0.1539957705162207 absolute error = 4.210520820890906e-14 relative error = 2.73417952115026e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9880715068572358 y2[1] (numeric) = 0.9880715068572334 absolute error = 2.331468351712829e-15 relative error = 2.359615003096833e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.867999999999959 y1[1] (analytic) = -0.1549837648604788 y1[1] (numeric) = -0.1549837648605205 absolute error = 4.177214130152151e-14 relative error = 2.695259167250589e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9879170170766732 y2[1] (numeric) = 0.9879170170766709 absolute error = 2.331468351712829e-15 relative error = 2.359983998060721e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86899999999996 y1[1] (analytic) = -0.155971604221027 y1[1] (numeric) = -0.1559716042210684 absolute error = 4.143907439413397e-14 relative error = 2.656834530945182e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9877615393791759 y2[1] (numeric) = 0.9877615393791737 absolute error = 2.220446049250313e-15 relative error = 2.247957589689005e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.86999999999996 y1[1] (analytic) = -0.156959287609984 y1[1] (numeric) = -0.156959287610025 absolute error = 4.107825191113079e-14 relative error = 2.617127825732936e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9876050739202216 y2[1] (numeric) = 0.9876050739202193 absolute error = 2.220446049250313e-15 relative error = 2.248313731759624e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.87099999999996 y1[1] (analytic) = -0.1579468140396664 y1[1] (numeric) = -0.1579468140397071 absolute error = 4.074518500374325e-14 relative error = 2.579677548513932e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9874476208562756 y2[1] (numeric) = 0.9874476208562734 absolute error = 2.220446049250313e-15 relative error = 2.248672235723076e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.871999999999961 y1[1] (analytic) = -0.158934182522548 y1[1] (numeric) = -0.1589341825225884 absolute error = 4.043987367197133e-14 relative error = 2.544441543670704e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9872891803447911 y2[1] (numeric) = 0.9872891803447889 absolute error = 2.220446049250313e-15 relative error = 2.249033103426563e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.872999999999961 y1[1] (analytic) = -0.1599213920712603 y1[1] (numeric) = -0.1599213920713004 absolute error = 4.007905118896815e-14 relative error = 2.506171980488333e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9871297525442084 y2[1] (numeric) = 0.9871297525442062 absolute error = 2.220446049250313e-15 relative error = 2.249396336730182e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.873999999999961 y1[1] (analytic) = -0.1609084416985938 y1[1] (numeric) = -0.1609084416986336 absolute error = 3.97459842815806e-14 relative error = 2.470099384594807e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9869693376139556 y2[1] (numeric) = 0.9869693376139533 absolute error = 2.220446049250313e-15 relative error = 2.249761937506939e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.874999999999962 y1[1] (analytic) = -0.1618953304174991 y1[1] (numeric) = -0.1618953304175385 absolute error = 3.941291737419306e-14 relative error = 2.434469065448287e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9868079357144474 y2[1] (numeric) = 0.9868079357144451 absolute error = 2.220446049250313e-15 relative error = 2.250129907642781e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.875999999999962 y1[1] (analytic) = -0.1628820572410874 y1[1] (numeric) = -0.1628820572411265 absolute error = 3.907985046680551e-14 relative error = 2.399272892836936e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9866455470070856 y2[1] (numeric) = 0.9866455470070834 absolute error = 2.220446049250313e-15 relative error = 2.250500249036615e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.876999999999962 y1[1] (analytic) = -0.1638686211826321 y1[1] (numeric) = -0.1638686211826708 absolute error = 3.874678355941796e-14 relative error = 2.364502934105643e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9864821716542591 y2[1] (numeric) = 0.9864821716542569 absolute error = 2.220446049250313e-15 relative error = 2.250872963600331e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.877999999999963 y1[1] (analytic) = -0.1648550212555692 y1[1] (numeric) = -0.1648550212556076 absolute error = 3.841371665203042e-14 relative error = 2.330151448191494e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.986317809819343 y2[1] (numeric) = 0.9863178098193409 absolute error = 2.109423746787797e-15 relative error = 2.138685650595892e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.878999999999963 y1[1] (analytic) = -0.1658412564734988 y1[1] (numeric) = -0.1658412564735369 absolute error = 3.808064974464287e-14 relative error = 2.296210879874038e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9861524616666995 y2[1] (numeric) = 0.9861524616666973 absolute error = 2.109423746787797e-15 relative error = 2.139044243952556e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.879999999999963 y1[1] (analytic) = -0.1668273258501858 y1[1] (numeric) = -0.1668273258502235 absolute error = 3.774758283725532e-14 relative error = 2.262673854231374e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9859861273616763 y2[1] (numeric) = 0.9859861273616742 absolute error = 2.109423746787797e-15 relative error = 2.139405097343753e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.880999999999964 y1[1] (analytic) = -0.1678132283995608 y1[1] (numeric) = -0.1678132283995982 absolute error = 3.741451592986778e-14 relative error = 2.229533171293527e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9858188070706081 y2[1] (numeric) = 0.985818807070606 absolute error = 2.109423746787797e-15 relative error = 2.13976821263536e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.881999999999964 y1[1] (analytic) = -0.1687989631357214 y1[1] (numeric) = -0.1687989631357585 absolute error = 3.708144902248023e-14 relative error = 2.196781800884949e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9856505009608149 y2[1] (numeric) = 0.9856505009608127 absolute error = 2.109423746787797e-15 relative error = 2.140133591705706e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.882999999999964 y1[1] (analytic) = -0.169784529072933 y1[1] (numeric) = -0.1697845290729697 absolute error = 3.672062653947705e-14 relative error = 2.162778124719672e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9854812092006029 y2[1] (numeric) = 0.9854812092006008 absolute error = 2.109423746787797e-15 relative error = 2.140501236445602e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.883999999999965 y1[1] (analytic) = -0.1707699252256296 y1[1] (numeric) = -0.1707699252256659 absolute error = 3.638755963208951e-14 relative error = 2.130794376352422e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9853109319592638 y2[1] (numeric) = 0.9853109319592617 absolute error = 2.109423746787797e-15 relative error = 2.140871148758358e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.884999999999965 y1[1] (analytic) = -0.1717551506084152 y1[1] (numeric) = -0.1717551506084512 absolute error = 3.605449272470196e-14 relative error = 2.099179710010715e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9851396694070748 y2[1] (numeric) = 0.9851396694070728 absolute error = 1.998401444325282e-15 relative error = 2.028546313161928e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.885999999999965 y1[1] (analytic) = -0.1727402042360645 y1[1] (numeric) = -0.1727402042361002 absolute error = 3.574918139293004e-14 relative error = 2.069534509990256e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9849674217152985 y2[1] (numeric) = 0.9849674217152965 absolute error = 1.998401444325282e-15 relative error = 2.028901058316336e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.886999999999966 y1[1] (analytic) = -0.173725085123524 y1[1] (numeric) = -0.1737250851235594 absolute error = 3.541611448554249e-14 relative error = 2.038629853619616e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9847941890561827 y2[1] (numeric) = 0.9847941890561807 absolute error = 1.998401444325282e-15 relative error = 2.029257957178373e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.887999999999966 y1[1] (analytic) = -0.1747097922859128 y1[1] (numeric) = -0.1747097922859479 absolute error = 3.508304757815495e-14 relative error = 2.008075627537894e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9846199716029597 y2[1] (numeric) = 0.9846199716029578 absolute error = 1.887379141862766e-15 relative error = 1.91686051095441e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.888999999999966 y1[1] (analytic) = -0.1756943247385239 y1[1] (numeric) = -0.1756943247385586 absolute error = 3.47499806707674e-14 relative error = 1.977865860065991e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9844447695298473 y2[1] (numeric) = 0.9844447695298454 absolute error = 1.887379141862766e-15 relative error = 1.917201655471382e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.889999999999967 y1[1] (analytic) = -0.1766786814968249 y1[1] (numeric) = -0.1766786814968593 absolute error = 3.438915818776422e-14 relative error = 1.946423750529417e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9842685830120473 y2[1] (numeric) = 0.9842685830120455 absolute error = 1.887379141862766e-15 relative error = 1.917544839323257e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.890999999999967 y1[1] (analytic) = -0.1776628615764591 y1[1] (numeric) = -0.1776628615764932 absolute error = 3.408384685599231e-14 relative error = 1.918456482888741e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9840914122257464 y2[1] (numeric) = 0.9840914122257446 absolute error = 1.77635683940025e-15 relative error = 1.805073001686516e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.891999999999967 y1[1] (analytic) = -0.1786468639932466 y1[1] (numeric) = -0.1786468639932804 absolute error = 3.375077994860476e-14 relative error = 1.889245587310206e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9839132573481152 y2[1] (numeric) = 0.9839132573481134 absolute error = 1.77635683940025e-15 relative error = 1.805399842042949e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.892999999999968 y1[1] (analytic) = -0.179630687763185 y1[1] (numeric) = -0.1796306877632184 absolute error = 3.341771304121721e-14 relative error = 1.860356571438019e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9837341185573087 y2[1] (numeric) = 0.983734118557307 absolute error = 1.77635683940025e-15 relative error = 1.805728606836733e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.893999999999968 y1[1] (analytic) = -0.1806143319024505 y1[1] (numeric) = -0.1806143319024836 absolute error = 3.311240170944529e-14 relative error = 1.83332083122447e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9835539960324656 y2[1] (numeric) = 0.983553996032464 absolute error = 1.665334536937735e-15 relative error = 1.693180591666027e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.894999999999968 y1[1] (analytic) = -0.1815977954273992 y1[1] (numeric) = -0.181597795427432 absolute error = 3.277933480205775e-14 relative error = 1.805051362265163e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9833728899537085 y2[1] (numeric) = 0.9833728899537069 absolute error = 1.665334536937735e-15 relative error = 1.693492421797523e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.895999999999969 y1[1] (analytic) = -0.1825810773545677 y1[1] (numeric) = -0.1825810773546001 absolute error = 3.24462678946702e-14 relative error = 1.777088204582143e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9831908005021434 y2[1] (numeric) = 0.9831908005021417 absolute error = 1.665334536937735e-15 relative error = 1.693806060926527e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.896999999999969 y1[1] (analytic) = -0.1835641767006739 y1[1] (numeric) = -0.183564176700706 absolute error = 3.211320098728265e-14 relative error = 1.749426362184357e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9830077278598596 y2[1] (numeric) = 0.983007727859858 absolute error = 1.554312234475219e-15 relative error = 1.581180076640055e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.897999999999969 y1[1] (analytic) = -0.1845470924826188 y1[1] (numeric) = -0.1845470924826506 absolute error = 3.178013407989511e-14 relative error = 1.722060946741182e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9828236722099299 y2[1] (numeric) = 0.9828236722099284 absolute error = 1.554312234475219e-15 relative error = 1.581476187870269e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89899999999997 y1[1] (analytic) = -0.1855298237174866 y1[1] (numeric) = -0.185529823717518 absolute error = 3.144706717250756e-14 relative error = 1.694987174697757e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9826386337364099 y2[1] (numeric) = 0.9826386337364085 absolute error = 1.443289932012704e-15 relative error = 1.468790135519811e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.89999999999997 y1[1] (analytic) = -0.1865123694225461 y1[1] (numeric) = -0.1865123694225772 absolute error = 3.111400026512001e-14 relative error = 1.668200364482575e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.982452612624338 y2[1] (numeric) = 0.9824526126243367 absolute error = 1.332267629550188e-15 relative error = 1.356062992179765e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.90099999999997 y1[1] (analytic) = -0.1874947286152517 y1[1] (numeric) = -0.1874947286152825 absolute error = 3.080868893334809e-14 relative error = 1.643176272788395e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9822656090597355 y2[1] (numeric) = 0.9822656090597341 absolute error = 1.332267629550188e-15 relative error = 1.356321159228499e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.901999999999971 y1[1] (analytic) = -0.1884769003132443 y1[1] (numeric) = -0.1884769003132748 absolute error = 3.047562202596055e-14 relative error = 1.616942021823934e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9820776232296057 y2[1] (numeric) = 0.9820776232296043 absolute error = 1.332267629550188e-15 relative error = 1.356580781434534e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.902999999999971 y1[1] (analytic) = -0.1894588835343524 y1[1] (numeric) = -0.1894588835343825 absolute error = 3.0142555118573e-14 relative error = 1.590981354701565e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9818886553219345 y2[1] (numeric) = 0.9818886553219331 absolute error = 1.332267629550188e-15 relative error = 1.356841860153047e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.903999999999971 y1[1] (analytic) = -0.1904406772965927 y1[1] (numeric) = -0.1904406772966225 absolute error = 2.980948821118545e-14 relative error = 1.565289970312388e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9816987055256898 y2[1] (numeric) = 0.9816987055256885 absolute error = 1.332267629550188e-15 relative error = 1.357104396747444e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.904999999999972 y1[1] (analytic) = -0.1914222806181715 y1[1] (numeric) = -0.191422280618201 absolute error = 2.947642130379791e-14 relative error = 1.539863656864181e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9815077740308215 y2[1] (numeric) = 0.9815077740308201 absolute error = 1.332267629550188e-15 relative error = 1.357368392589371e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.905999999999972 y1[1] (analytic) = -0.1924036925174857 y1[1] (numeric) = -0.1924036925175149 absolute error = 2.914335439641036e-14 relative error = 1.514698289574759e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9813158610282607 y2[1] (numeric) = 0.9813158610282595 absolute error = 1.221245327087672e-15 relative error = 1.24449769497051e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.906999999999972 y1[1] (analytic) = -0.1933849120131234 y1[1] (numeric) = -0.1933849120131522 absolute error = 2.881028748902281e-14 relative error = 1.489789828436445e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9811229667099208 y2[1] (numeric) = 0.9811229667099196 absolute error = 1.221245327087672e-15 relative error = 1.244742370248424e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.907999999999973 y1[1] (analytic) = -0.1943659381238653 y1[1] (numeric) = -0.1943659381238937 absolute error = 2.847722058163527e-14 relative error = 1.465134316049108e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.980929091268696 y2[1] (numeric) = 0.9809290912686948 absolute error = 1.221245327087672e-15 relative error = 1.244988386987443e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.908999999999973 y1[1] (analytic) = -0.1953467698686852 y1[1] (numeric) = -0.1953467698687133 absolute error = 2.814415367424772e-14 relative error = 1.440727875519345e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9807342348984617 y2[1] (numeric) = 0.9807342348984605 absolute error = 1.221245327087672e-15 relative error = 1.245235746475304e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.909999999999973 y1[1] (analytic) = -0.1963274062667514 y1[1] (numeric) = -0.1963274062667793 absolute error = 2.78388423424758e-14 relative error = 1.417980447653394e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9805383977940741 y2[1] (numeric) = 0.9805383977940729 absolute error = 1.221245327087672e-15 relative error = 1.245484450007382e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.910999999999974 y1[1] (analytic) = -0.1973078463374278 y1[1] (numeric) = -0.1973078463374554 absolute error = 2.750577543508825e-14 relative error = 1.394053807067003e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9803415801513705 y2[1] (numeric) = 0.9803415801513693 absolute error = 1.221245327087672e-15 relative error = 1.245734498886709e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.911999999999974 y1[1] (analytic) = -0.1982880891002743 y1[1] (numeric) = -0.1982880891003015 absolute error = 2.717270852770071e-14 relative error = 1.370365141496697e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9801437821671684 y2[1] (numeric) = 0.9801437821671672 absolute error = 1.110223024625157e-15 relative error = 1.132714449476355e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.912999999999974 y1[1] (analytic) = -0.1992681335750482 y1[1] (numeric) = -0.1992681335750751 absolute error = 2.686739719592879e-14 relative error = 1.348303751026503e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9799450040392659 y2[1] (numeric) = 0.9799450040392648 absolute error = 1.110223024625157e-15 relative error = 1.132944216306929e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.913999999999975 y1[1] (analytic) = -0.2002479787817052 y1[1] (numeric) = -0.2002479787817317 absolute error = 2.653433028854124e-14 relative error = 1.325073563786974e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9797452459664409 y2[1] (numeric) = 0.9797452459664399 absolute error = 9.992007221626409e-16 relative error = 1.019857688798488e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.914999999999975 y1[1] (analytic) = -0.2012276237404 y1[1] (numeric) = -0.2012276237404262 absolute error = 2.620126338115369e-14 relative error = 1.30207090329484e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9795445081484516 y2[1] (numeric) = 0.9795445081484506 absolute error = 9.992007221626409e-16 relative error = 1.020066687986791e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.915999999999976 y1[1] (analytic) = -0.202207067471488 y1[1] (numeric) = -0.2022070674715138 absolute error = 2.584044089815052e-14 relative error = 1.277919769139332e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9793427907860358 y2[1] (numeric) = 0.9793427907860349 absolute error = 8.881784197001252e-16 relative error = 9.069127051900381e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.916999999999976 y1[1] (analytic) = -0.2031863089955252 y1[1] (numeric) = -0.2031863089955507 absolute error = 2.55351295663786e-14 relative error = 1.256734752091046e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9791400940809108 y2[1] (numeric) = 0.97914009408091 absolute error = 8.881784197001252e-16 relative error = 9.071004497408835e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.917999999999976 y1[1] (analytic) = -0.2041653473332704 y1[1] (numeric) = -0.2041653473332956 absolute error = 2.520206265899105e-14 relative error = 1.234394719190634e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9789364182357734 y2[1] (numeric) = 0.9789364182357726 absolute error = 7.771561172376096e-16 relative error = 7.938780320770887e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.918999999999977 y1[1] (analytic) = -0.2051441815056853 y1[1] (numeric) = -0.2051441815057101 absolute error = 2.486899575160351e-14 relative error = 1.212269125503533e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9787317634542992 y2[1] (numeric) = 0.9787317634542986 absolute error = 6.661338147750939e-16 relative error = 6.806091716325484e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.919999999999977 y1[1] (analytic) = -0.2061228105339357 y1[1] (numeric) = -0.2061228105339603 absolute error = 2.453592884421596e-14 relative error = 1.190354855954984e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9785261299411433 y2[1] (numeric) = 0.9785261299411426 absolute error = 6.661338147750939e-16 relative error = 6.807521990395501e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.920999999999977 y1[1] (analytic) = -0.2071012334393929 y1[1] (numeric) = -0.2071012334394171 absolute error = 2.420286193682841e-14 relative error = 1.168648855194349e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9783195179019388 y2[1] (numeric) = 0.9783195179019383 absolute error = 5.551115123125783e-16 relative error = 5.674133063429483e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.921999999999978 y1[1] (analytic) = -0.2080794492436338 y1[1] (numeric) = -0.2080794492436576 absolute error = 2.386979502944087e-14 relative error = 1.147148126170426e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9781119275432981 y2[1] (numeric) = 0.9781119275432976 absolute error = 5.551115123125783e-16 relative error = 5.675337317548508e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.922999999999978 y1[1] (analytic) = -0.2090574569684428 y1[1] (numeric) = -0.2090574569684663 absolute error = 2.353672812205332e-14 relative error = 1.125849728747355e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9779033590728113 y2[1] (numeric) = 0.9779033590728108 absolute error = 5.551115123125783e-16 relative error = 5.676547760700007e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.923999999999978 y1[1] (analytic) = -0.2100352556358123 y1[1] (numeric) = -0.2100352556358355 absolute error = 2.320366121466577e-14 relative error = 1.104750778359774e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9776938126990469 y2[1] (numeric) = 0.9776938126990464 absolute error = 4.440892098500626e-16 relative error = 4.542211519413204e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.924999999999979 y1[1] (analytic) = -0.2110128442679436 y1[1] (numeric) = -0.2110128442679665 absolute error = 2.287059430727822e-14 relative error = 1.083848444705915e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9774832886315513 y2[1] (numeric) = 0.9774832886315509 absolute error = 4.440892098500626e-16 relative error = 4.543189791733164e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.925999999999979 y1[1] (analytic) = -0.2119902218872483 y1[1] (numeric) = -0.2119902218872708 absolute error = 2.253752739989068e-14 relative error = 1.063139950477421e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9772717870808485 y2[1] (numeric) = 0.9772717870808482 absolute error = 3.33066907387547e-16 relative error = 3.408129773012599e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.926999999999979 y1[1] (analytic) = -0.2129673875163487 y1[1] (numeric) = -0.212967387516371 absolute error = 2.220446049250313e-14 relative error = 1.042622570124666e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.97705930825844 y2[1] (numeric) = 0.9770593082584398 absolute error = 2.220446049250313e-16 relative error = 2.272580620728284e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92799999999998 y1[1] (analytic) = -0.2139443401780794 y1[1] (numeric) = -0.2139443401781013 absolute error = 2.187139358511558e-14 relative error = 1.022293628656436e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9768458523768048 y2[1] (numeric) = 0.9768458523768045 absolute error = 2.220446049250313e-16 relative error = 2.273077214636938e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92899999999998 y1[1] (analytic) = -0.2149210788954877 y1[1] (numeric) = -0.2149210788955093 absolute error = 2.156608225334367e-14 relative error = 1.003441931530172e-11 % Correct digits = 12 h = 0.001 y2[1] (analytic) = 0.9766314196493985 y2[1] (numeric) = 0.9766314196493984 absolute error = 1.110223024625157e-16 relative error = 1.136788149846455e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.92999999999998 y1[1] (analytic) = -0.2158976026918351 y1[1] (numeric) = -0.2158976026918563 absolute error = 2.123301534595612e-14 relative error = 9.8347619803187e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9764160102906539 y2[1] (numeric) = 0.9764160102906539 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] = 4.930999999999981 y1[1] (analytic) = -0.2168739105905977 y1[1] (numeric) = -0.2168739105906186 absolute error = 2.089994843856857e-14 relative error = 9.636912241612275e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9761996245159805 y2[1] (numeric) = 0.9761996245159805 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] = 4.931999999999981 y1[1] (analytic) = -0.2178500016154678 y1[1] (numeric) = -0.2178500016154884 absolute error = 2.056688153118102e-14 relative error = 9.440845250707921e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9759822625417639 y2[1] (numeric) = 0.975982262541764 absolute error = 1.110223024625157e-16 relative error = 1.137544264107616e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.932999999999981 y1[1] (analytic) = -0.2188258747903545 y1[1] (numeric) = -0.2188258747903747 absolute error = 2.026157019940911e-14 relative error = 9.259220473273852e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9757639245853661 y2[1] (numeric) = 0.9757639245853662 absolute error = 1.110223024625157e-16 relative error = 1.137798802202004e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.933999999999982 y1[1] (analytic) = -0.2198015291393846 y1[1] (numeric) = -0.2198015291394045 absolute error = 1.992850329202156e-14 relative error = 9.066589923213924e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.975544610865125 y2[1] (numeric) = 0.9755446108651252 absolute error = 2.220446049250313e-16 relative error = 2.276109185085031e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.934999999999982 y1[1] (analytic) = -0.2207769636869039 y1[1] (numeric) = -0.2207769636869235 absolute error = 1.959543638463401e-14 relative error = 8.875670748159847e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9753243216003544 y2[1] (numeric) = 0.9753243216003546 absolute error = 2.220446049250313e-16 relative error = 2.276623272971301e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.935999999999982 y1[1] (analytic) = -0.2217521774574779 y1[1] (numeric) = -0.2217521774574971 absolute error = 1.926236947724647e-14 relative error = 8.686439834819718e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9751030570113434 y2[1] (numeric) = 0.9751030570113437 absolute error = 3.33066907387547e-16 relative error = 3.415709806185875e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.936999999999983 y1[1] (analytic) = -0.2227271694758929 y1[1] (numeric) = -0.2227271694759118 absolute error = 1.895705814547455e-14 relative error = 8.511336174245409e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9748808173193567 y2[1] (numeric) = 0.9748808173193571 absolute error = 3.33066907387547e-16 relative error = 3.416488471928144e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.937999999999983 y1[1] (analytic) = -0.223701938767157 y1[1] (numeric) = -0.2237019387671756 absolute error = 1.8623991238087e-14 relative error = 8.325359780396012e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9746576027466338 y2[1] (numeric) = 0.9746576027466343 absolute error = 4.440892098500626e-16 relative error = 4.556361214426451e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.938999999999983 y1[1] (analytic) = -0.2246764843565009 y1[1] (numeric) = -0.2246764843565192 absolute error = 1.831867990631508e-14 relative error = 8.153358798888932e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9744334135163896 y2[1] (numeric) = 0.97443341351639 absolute error = 4.440892098500626e-16 relative error = 4.557409502692441e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y1[1] (analytic) = -0.2256508052693793 y1[1] (numeric) = -0.2256508052693973 absolute error = 1.798561299892754e-14 relative error = 7.970551214056835e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9742082498528128 y2[1] (numeric) = 0.9742082498528134 absolute error = 5.551115123125783e-16 relative error = 5.698078541178918e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.940999999999984 y1[1] (analytic) = -0.2266249005314711 y1[1] (numeric) = -0.2266249005314888 absolute error = 1.768030166715562e-14 relative error = 7.801570624274968e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9739821119810675 y2[1] (numeric) = 0.9739821119810681 absolute error = 5.551115123125783e-16 relative error = 5.699401513478397e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.941999999999984 y1[1] (analytic) = -0.2275987691686814 y1[1] (numeric) = -0.2275987691686987 absolute error = 1.734723475976807e-14 relative error = 7.621849108907716e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9737550001272914 y2[1] (numeric) = 0.973755000127292 absolute error = 5.551115123125783e-16 relative error = 5.700730802306667e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.942999999999985 y1[1] (analytic) = -0.2285724102071414 y1[1] (numeric) = -0.2285724102071584 absolute error = 1.704192342799615e-14 relative error = 7.455809479609585e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9735269145185963 y2[1] (numeric) = 0.973526914518597 absolute error = 6.661338147750939e-16 relative error = 6.842479697692728e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.943999999999985 y1[1] (analytic) = -0.2295458226732102 y1[1] (numeric) = -0.229545822673227 absolute error = 1.673661209622423e-14 relative error = 7.291185655794348e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9732978553830678 y2[1] (numeric) = 0.9732978553830686 absolute error = 7.771561172376096e-16 relative error = 7.984771701071289e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.944999999999985 y1[1] (analytic) = -0.2305190055934756 y1[1] (numeric) = -0.230519005593492 absolute error = 1.640354518883669e-14 relative error = 7.115918770604379e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.973067822949765 y2[1] (numeric) = 0.9730678229497658 absolute error = 7.771561172376096e-16 relative error = 7.986659294536456e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.945999999999986 y1[1] (analytic) = -0.2314919579947545 y1[1] (numeric) = -0.2314919579947706 absolute error = 1.609823385706477e-14 relative error = 6.954122292848527e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9728368174487203 y2[1] (numeric) = 0.9728368174487212 absolute error = 8.881784197001252e-16 relative error = 9.129778024123172e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.946999999999986 y1[1] (analytic) = -0.2324646789040948 y1[1] (numeric) = -0.2324646789041105 absolute error = 1.576516694967722e-14 relative error = 6.781747241773996e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9726048391109393 y2[1] (numeric) = 0.9726048391109402 absolute error = 8.881784197001252e-16 relative error = 9.131955589610386e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.947999999999986 y1[1] (analytic) = -0.2334371673487755 y1[1] (numeric) = -0.2334371673487909 absolute error = 1.543210004228968e-14 relative error = 6.610815328834407e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9723718881684003 y2[1] (numeric) = 0.9723718881684011 absolute error = 8.881784197001252e-16 relative error = 9.134143330419956e-14 % Correct digits = 15 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.948999999999987 y1[1] (analytic) = -0.2344094223563082 y1[1] (numeric) = -0.2344094223563234 absolute error = 1.512678871051776e-14 relative error = 6.453148750788976e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.972137964854054 y2[1] (numeric) = 0.972137964854055 absolute error = 9.992007221626409e-16 relative error = 1.027838391552427e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.949999999999987 y1[1] (analytic) = -0.2353814429544382 y1[1] (numeric) = -0.235381442954453 absolute error = 1.479372180313021e-14 relative error = 6.284999198511061e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9719030694018239 y2[1] (numeric) = 0.971903069401825 absolute error = 1.110223024625157e-15 relative error = 1.142318673104371e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.950999999999987 y1[1] (analytic) = -0.2363532281711449 y1[1] (numeric) = -0.2363532281711593 absolute error = 1.446065489574266e-14 relative error = 6.118238793536432e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9716672020466054 y2[1] (numeric) = 0.9716672020466066 absolute error = 1.221245327087672e-15 relative error = 1.256855561776074e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.951999999999988 y1[1] (analytic) = -0.237324777034643 y1[1] (numeric) = -0.2373247770346572 absolute error = 1.415534356397075e-14 relative error = 5.964545186069825e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9714303630242659 y2[1] (numeric) = 0.9714303630242671 absolute error = 1.221245327087672e-15 relative error = 1.257161988725244e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.952999999999988 y1[1] (analytic) = -0.2382960885733839 y1[1] (numeric) = -0.2382960885733978 absolute error = 1.38222766565832e-14 relative error = 5.800463087469684e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9711925525716443 y2[1] (numeric) = 0.9711925525716455 absolute error = 1.221245327087672e-15 relative error = 1.257469822903715e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.953999999999988 y1[1] (analytic) = -0.2392671618160561 y1[1] (numeric) = -0.2392671618160696 absolute error = 1.348920974919565e-14 relative error = 5.637718793841793e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.970953770926551 y2[1] (numeric) = 0.9709537709265523 absolute error = 1.332267629550188e-15 relative error = 1.372122617412409e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.954999999999989 y1[1] (analytic) = -0.2402379957915864 y1[1] (numeric) = -0.2402379957915996 absolute error = 1.318389841742373e-14 relative error = 5.487848986577941e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9707140183277677 y2[1] (numeric) = 0.9707140183277692 absolute error = 1.443289932012704e-15 relative error = 1.486833304930565e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.955999999999989 y1[1] (analytic) = -0.241208589529141 y1[1] (numeric) = -0.2412085895291539 absolute error = 1.285083151003619e-14 relative error = 5.327684032779291e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.970473295015047 y2[1] (numeric) = 0.9704732950150485 absolute error = 1.554312234475219e-15 relative error = 1.60160227227182e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.956999999999989 y1[1] (analytic) = -0.2421789420581261 y1[1] (numeric) = -0.2421789420581386 absolute error = 1.251776460264864e-14 relative error = 5.168808029413314e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9702316012291121 y2[1] (numeric) = 0.9702316012291138 absolute error = 1.665334536937735e-15 relative error = 1.716429906867649e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95799999999999 y1[1] (analytic) = -0.2431490524081893 y1[1] (numeric) = -0.2431490524082016 absolute error = 1.221245327087672e-14 relative error = 5.022620137698469e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9699889372116569 y2[1] (numeric) = 0.9699889372116586 absolute error = 1.665334536937735e-15 relative error = 1.716859309473083e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95899999999999 y1[1] (analytic) = -0.2441189196092204 y1[1] (numeric) = -0.2441189196092323 absolute error = 1.187938636348917e-14 relative error = 4.866229287965637e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9697453032053452 y2[1] (numeric) = 0.969745303205347 absolute error = 1.77635683940025e-15 relative error = 1.831776687681574e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.95999999999999 y1[1] (analytic) = -0.2450885426913523 y1[1] (numeric) = -0.2450885426913638 absolute error = 1.154631945610163e-14 relative error = 4.711080872777587e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9695006994538112 y2[1] (numeric) = 0.9695006994538131 absolute error = 1.887379141862766e-15 relative error = 1.946753770189192e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.960999999999991 y1[1] (analytic) = -0.2460579206849618 y1[1] (numeric) = -0.2460579206849731 absolute error = 1.124100812432971e-14 relative error = 4.56843985880952e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9692551262016585 y2[1] (numeric) = 0.9692551262016605 absolute error = 1.998401444325282e-15 relative error = 2.061790946782678e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.961999999999991 y1[1] (analytic) = -0.2470270526206712 y1[1] (numeric) = -0.2470270526206821 absolute error = 1.090794121694216e-14 relative error = 4.415686906037832e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9690085836944604 y2[1] (numeric) = 0.9690085836944625 absolute error = 2.109423746787797e-15 relative error = 2.176888607885566e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.962999999999991 y1[1] (analytic) = -0.2479959375293486 y1[1] (numeric) = -0.2479959375293591 absolute error = 1.057487430955462e-14 relative error = 4.264132072043782e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9687610721787594 y2[1] (numeric) = 0.9687610721787615 absolute error = 2.109423746787797e-15 relative error = 2.177444787334063e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.963999999999992 y1[1] (analytic) = -0.248964574442109 y1[1] (numeric) = -0.2489645744421193 absolute error = 1.02695629777827e-14 relative error = 4.124909337320458e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9685125919020668 y2[1] (numeric) = 0.9685125919020691 absolute error = 2.220446049250313e-15 relative error = 2.292635189068185e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.964999999999992 y1[1] (analytic) = -0.2499329623903158 y1[1] (numeric) = -0.2499329623903258 absolute error = 9.96425164601078e-15 relative error = 3.986769712451848e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9682631431128632 y2[1] (numeric) = 0.9682631431128654 absolute error = 2.220446049250313e-15 relative error = 2.293225829201569e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.965999999999992 y1[1] (analytic) = -0.2509011004055811 y1[1] (numeric) = -0.2509011004055907 absolute error = 9.603429163007604e-15 relative error = 3.827575545696565e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9680127260605971 y2[1] (numeric) = 0.9680127260605994 absolute error = 2.331468351712829e-15 relative error = 2.408510021558208e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.966999999999993 y1[1] (analytic) = -0.2518689875197668 y1[1] (numeric) = -0.251868987519776 absolute error = 9.270362255620057e-15 relative error = 3.680628705784001e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9677613409956856 y2[1] (numeric) = 0.967761340995688 absolute error = 2.442490654175344e-15 relative error = 2.523856400031827e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.967999999999993 y1[1] (analytic) = -0.252836622764986 y1[1] (numeric) = -0.2528366227649949 absolute error = 8.93729534823251e-15 relative error = 3.534810444189413e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9675089881695137 y2[1] (numeric) = 0.9675089881695162 absolute error = 2.55351295663786e-15 relative error = 2.639265358628863e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.968999999999993 y1[1] (analytic) = -0.2538040051736035 y1[1] (numeric) = -0.2538040051736121 absolute error = 8.604228440844963e-15 relative error = 3.390107431503935e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9672556678344343 y2[1] (numeric) = 0.9672556678344369 absolute error = 2.664535259100376e-15 relative error = 2.754737292019121e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y1[1] (analytic) = -0.254771133778237 y1[1] (numeric) = -0.2547711337782452 absolute error = 8.271161533457416e-15 relative error = 3.246506545226182e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9670013802437677 y2[1] (numeric) = 0.9670013802437704 absolute error = 2.664535259100376e-15 relative error = 2.755461691718251e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.970999999999994 y1[1] (analytic) = -0.2557380076117579 y1[1] (numeric) = -0.2557380076117658 absolute error = 7.993605777301127e-15 relative error = 3.125701123564088e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9667461256518013 y2[1] (numeric) = 0.9667461256518042 absolute error = 2.886579864025407e-15 relative error = 2.985871665199808e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.971999999999994 y1[1] (analytic) = -0.2567046257072925 y1[1] (numeric) = -0.2567046257073002 absolute error = 7.66053886991358e-15 relative error = 2.984184195671063e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.96648990431379 y2[1] (numeric) = 0.9664899043137929 absolute error = 2.886579864025407e-15 relative error = 2.98666323480625e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.972999999999995 y1[1] (analytic) = -0.2576709870982228 y1[1] (numeric) = -0.2576709870982302 absolute error = 7.327471962526033e-15 relative error = 2.843731863274478e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9662327164859548 y2[1] (numeric) = 0.9662327164859578 absolute error = 2.997602166487923e-15 relative error = 3.102360451413566e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.973999999999995 y1[1] (analytic) = -0.2586370908181875 y1[1] (numeric) = -0.2586370908181945 absolute error = 7.049916206369744e-15 relative error = 2.725794735808245e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9659745624254836 y2[1] (numeric) = 0.9659745624254867 absolute error = 3.108624468950438e-15 relative error = 3.218122495011603e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.974999999999995 y1[1] (analytic) = -0.2596029359010829 y1[1] (numeric) = -0.2596029359010896 absolute error = 6.716849298982197e-15 relative error = 2.587354906317983e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9657154423905306 y2[1] (numeric) = 0.9657154423905338 absolute error = 3.108624468950438e-15 relative error = 3.218985979198338e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.975999999999996 y1[1] (analytic) = -0.2605685213810641 y1[1] (numeric) = -0.2605685213810705 absolute error = 6.38378239159465e-15 relative error = 2.449943821977941e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9654553566402156 y2[1] (numeric) = 0.9654553566402189 absolute error = 3.219646771412954e-15 relative error = 3.334847902876964e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.976999999999996 y1[1] (analytic) = -0.2615338462925456 y1[1] (numeric) = -0.2615338462925516 absolute error = 6.050715484207103e-15 relative error = 2.313549687729104e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9651943054346245 y2[1] (numeric) = 0.9651943054346278 absolute error = 3.33066907387547e-15 relative error = 3.450775719584958e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.977999999999996 y1[1] (analytic) = -0.2624989096702026 y1[1] (numeric) = -0.2624989096702083 absolute error = 5.717648576819556e-15 relative error = 2.178160886078756e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9649322890348083 y2[1] (numeric) = 0.9649322890348118 absolute error = 3.441691376337985e-15 relative error = 3.566769829809096e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.978999999999997 y1[1] (analytic) = -0.2634637105489717 y1[1] (numeric) = -0.2634637105489772 absolute error = 5.440092820663267e-15 relative error = 2.064835726077e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9646693077027835 y2[1] (numeric) = 0.964669307702787 absolute error = 3.552713678800501e-15 relative error = 3.682830634739236e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.979999999999997 y1[1] (analytic) = -0.2644282479640523 y1[1] (numeric) = -0.2644282479640575 absolute error = 5.10702591327572e-15 relative error = 1.931346576092731e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9644053617015315 y2[1] (numeric) = 0.964405361701535 absolute error = 3.552713678800501e-15 relative error = 3.683838580627895e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.980999999999997 y1[1] (analytic) = -0.265392520950907 y1[1] (numeric) = -0.2653925209509118 absolute error = 4.829470157119431e-15 relative error = 1.819746140477259e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.964140451294998 y2[1] (numeric) = 0.9641404512950017 absolute error = 3.663735981263017e-15 relative error = 3.800002350634724e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.981999999999998 y1[1] (analytic) = -0.2663565285452628 y1[1] (numeric) = -0.2663565285452673 absolute error = 4.496403249731884e-15 relative error = 1.688114526153916e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9638745767480936 y2[1] (numeric) = 0.9638745767480974 absolute error = 3.774758283725532e-15 relative error = 3.916233890576052e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.982999999999998 y1[1] (analytic) = -0.2673202697831124 y1[1] (numeric) = -0.2673202697831165 absolute error = 4.107825191113079e-15 relative error = 1.536668055305317e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9636077383266928 y2[1] (numeric) = 0.9636077383266967 absolute error = 3.885780586188048e-15 relative error = 4.032533604322974e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.983999999999998 y1[1] (analytic) = -0.2682837437007143 y1[1] (numeric) = -0.2682837437007181 absolute error = 3.83026943495679e-15 relative error = 1.427693449525467e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9633399362976339 y2[1] (numeric) = 0.9633399362976379 absolute error = 3.996802888650564e-15 relative error = 4.148901896470022e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.984999999999999 y1[1] (analytic) = -0.2692469493345949 y1[1] (numeric) = -0.2692469493345984 absolute error = 3.497202527569243e-15 relative error = 1.298882879160591e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9630711709287191 y2[1] (numeric) = 0.9630711709287232 absolute error = 4.107825191113079e-15 relative error = 4.265339172339441e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.985999999999999 y1[1] (analytic) = -0.2702098857215487 y1[1] (numeric) = -0.2702098857215519 absolute error = 3.164135620181696e-15 relative error = 1.170991805770696e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9628014424887136 y2[1] (numeric) = 0.9628014424887178 absolute error = 4.218847493575595e-15 relative error = 4.381845837985489e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.986999999999999 y1[1] (analytic) = -0.2711725518986392 y1[1] (numeric) = -0.2711725518986421 absolute error = 2.886579864025407e-15 relative error = 1.064480842111326e-12 % Correct digits = 13 h = 0.001 y2[1] (analytic) = 0.9625307512473458 y2[1] (numeric) = 0.9625307512473501 absolute error = 4.329869796038111e-15 relative error = 4.498422300198744e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.988 y1[1] (analytic) = -0.2721349469032004 y1[1] (numeric) = -0.272134946903203 absolute error = 2.55351295663786e-15 relative error = 9.383259980740935e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9622590974753069 y2[1] (numeric) = 0.9622590974753114 absolute error = 4.440892098500626e-15 relative error = 4.615068966510432e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.989 y1[1] (analytic) = -0.2730970697728374 y1[1] (numeric) = -0.2730970697728397 absolute error = 2.275957200481571e-15 relative error = 8.333876311359604e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9619864814442508 y2[1] (numeric) = 0.9619864814442554 absolute error = 4.551914400963142e-15 relative error = 4.731786245196768e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.99 y1[1] (analytic) = -0.2740589195454274 y1[1] (numeric) = -0.2740589195454294 absolute error = 1.942890293094024e-15 relative error = 7.089316035824094e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9617129034267934 y2[1] (numeric) = 0.961712903426798 absolute error = 4.662936703425657e-15 relative error = 4.848574545283311e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.991000000000001 y1[1] (analytic) = -0.2750204952591208 y1[1] (numeric) = -0.2750204952591224 absolute error = 1.609823385706477e-15 relative error = 5.853466972305909e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9614383636965128 y2[1] (numeric) = 0.9614383636965175 absolute error = 4.662936703425657e-15 relative error = 4.849959060815632e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.992000000000001 y1[1] (analytic) = -0.2759817959523417 y1[1] (numeric) = -0.275981795952343 absolute error = 1.332267629550188e-15 relative error = 4.827375026504474e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9611628625279485 y2[1] (numeric) = 0.9611628625279534 absolute error = 4.884981308350689e-15 relative error = 5.082365849532232e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.993000000000001 y1[1] (analytic) = -0.2769428206637897 y1[1] (numeric) = -0.2769428206637907 absolute error = 9.992007221626409e-16 relative error = 3.607967593338254e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9608864001966019 y2[1] (numeric) = 0.9608864001966068 absolute error = 4.884981308350689e-15 relative error = 5.08382812718673e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.994000000000002 y1[1] (analytic) = -0.2779035684324401 y1[1] (numeric) = -0.2779035684324407 absolute error = 6.661338147750939e-16 relative error = 2.396996262165791e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.960608976978935 y2[1] (numeric) = 0.9606089769789401 absolute error = 5.10702591327572e-15 relative error = 5.316446166615109e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.995000000000002 y1[1] (analytic) = -0.2788640382975452 y1[1] (numeric) = -0.2788640382975456 absolute error = 3.885780586188048e-16 relative error = 1.393431942645096e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9603305931523712 y2[1] (numeric) = 0.9603305931523765 absolute error = 5.218048215738236e-15 relative error = 5.43359573562009e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.996000000000002 y1[1] (analytic) = -0.2798242292986353 y1[1] (numeric) = -0.2798242292986353 absolute error = 5.551115123125783e-17 relative error = 1.983786442310361e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.9600512489952944 y2[1] (numeric) = 0.9600512489952997 absolute error = 5.329070518200751e-15 relative error = 5.55081879616082e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.997000000000003 y1[1] (analytic) = -0.2807841404755194 y1[1] (numeric) = -0.2807841404755191 absolute error = 2.775557561562891e-16 relative error = 9.885022554558714e-14 % Correct digits = 15 h = 0.001 y2[1] (analytic) = 0.9597709447870486 y2[1] (numeric) = 0.9597709447870539 absolute error = 5.329070518200751e-15 relative error = 5.552439930741132e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.998000000000003 y1[1] (analytic) = -0.2817437708682864 y1[1] (numeric) = -0.2817437708682858 absolute error = 6.106226635438361e-16 relative error = 2.167297831153466e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9594896808079378 y2[1] (numeric) = 0.9594896808079434 absolute error = 5.551115123125783e-15 relative error = 5.785487050211388e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 4.999000000000003 y1[1] (analytic) = -0.282703119517306 y1[1] (numeric) = -0.2827031195173051 absolute error = 8.881784197001252e-16 relative error = 3.141735475776221e-13 % Correct digits = 14 h = 0.001 y2[1] (analytic) = 0.9592074573392264 y2[1] (numeric) = 0.959207457339232 absolute error = 5.551115123125783e-15 relative error = 5.787189289086829e-13 % Correct digits = 14 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 Finished! diff ( y1 , x , 1 ) = m1 * y2 ; diff ( y2 , x , 2 ) = diff ( y1, x , 1) ; Iterations = 4500 Total Elapsed Time = 4 Seconds Elapsed Time(since restart) = 4 Seconds Time to Timeout = 2 Minutes 56 Seconds Percent Done = 100 %