##############ECHO OF PROBLEM################# ##############temp/tan_sqrt_newpostode.ode################# diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=0.1; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; // 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_y (double x) { return(tan(sqrt(2.0*x + 1.0))); } // 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 = 0.9 estimated_steps = 900 step_error = 1.111111111111111e-13 est_needed_step_err = 1.111111111111111e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 3.498774966015757e-73 max_value3 = 3.498774966015757e-73 value3 = 3.498774966015757e-73 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.942817849578391 y[1] (numeric) = 1.942817849578391 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4448 Order of pole = 453.1 TOP MAIN SOLVE Loop x[1] = 0.101 y[1] (analytic) = 1.947182313438963 y[1] (numeric) = 1.947182313438963 absolute error = 2.220446049250313e-16 relative error = 1.140338033026159e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4552 Order of pole = 464.8 TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 1.951558665453152 y[1] (numeric) = 1.951558665453152 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4651 Order of pole = 476 TOP MAIN SOLVE Loop x[1] = 0.103 y[1] (analytic) = 1.955946966119691 y[1] (numeric) = 1.955946966119691 absolute error = 2.220446049250313e-16 relative error = 1.135228146627794e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4746 Order of pole = 486.7 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 1.960347276305489 y[1] (numeric) = 1.960347276305489 absolute error = 8.881784197001252e-16 relative error = 4.530719788455056e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4836 Order of pole = 497 TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 1.964759657248652 y[1] (numeric) = 1.964759657248652 absolute error = 6.661338147750939e-16 relative error = 3.390408655417494e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4922 Order of pole = 506.8 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 1.969184170561533 y[1] (numeric) = 1.969184170561533 absolute error = 2.220446049250313e-16 relative error = 1.127596942147433e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5002 Order of pole = 516.2 TOP MAIN SOLVE Loop x[1] = 0.107 y[1] (analytic) = 1.973620878233809 y[1] (numeric) = 1.973620878233809 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5079 Order of pole = 525.1 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 1.978069842635584 y[1] (numeric) = 1.978069842635584 absolute error = 4.440892098500626e-16 relative error = 2.245063345480043e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.515 Order of pole = 533.6 TOP MAIN SOLVE Loop x[1] = 0.109 y[1] (analytic) = 1.982531126520527 y[1] (numeric) = 1.982531126520527 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5217 Order of pole = 541.6 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 1.987004793029034 y[1] (numeric) = 1.987004793029034 absolute error = 2.220446049250313e-16 relative error = 1.11748399250986e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.528 Order of pole = 549.1 TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 1.991490905691427 y[1] (numeric) = 1.991490905691427 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5338 Order of pole = 556.2 TOP MAIN SOLVE Loop x[1] = 0.112 y[1] (analytic) = 1.995989528431172 y[1] (numeric) = 1.995989528431172 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5393 Order of pole = 562.9 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 2.000500725568139 y[1] (numeric) = 2.000500725568138 absolute error = 4.440892098500626e-16 relative error = 2.219890271341652e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5443 Order of pole = 569.2 TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 2.005024561821884 y[1] (numeric) = 2.005024561821884 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5489 Order of pole = 575.1 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 2.009561102314973 y[1] (numeric) = 2.009561102314973 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5532 Order of pole = 580.7 TOP MAIN SOLVE Loop x[1] = 0.116 y[1] (analytic) = 2.014110412576323 y[1] (numeric) = 2.014110412576322 absolute error = 4.440892098500626e-16 relative error = 2.204890094788854e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5571 Order of pole = 585.8 TOP MAIN SOLVE Loop x[1] = 0.117 y[1] (analytic) = 2.018672558544585 y[1] (numeric) = 2.018672558544583 absolute error = 1.332267629550188e-15 relative error = 6.599721306514026e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5607 Order of pole = 590.7 TOP MAIN SOLVE Loop x[1] = 0.118 y[1] (analytic) = 2.023247606571558 y[1] (numeric) = 2.023247606571557 absolute error = 8.881784197001252e-16 relative error = 4.389865169321341e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5639 Order of pole = 595.2 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 2.027835623425639 y[1] (numeric) = 2.027835623425638 absolute error = 8.881784197001252e-16 relative error = 4.379933015476463e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5669 Order of pole = 599.4 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 2.032436676295291 y[1] (numeric) = 2.03243667629529 absolute error = 1.332267629550188e-15 relative error = 6.555026511225107e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5696 Order of pole = 603.3 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 2.037050832792566 y[1] (numeric) = 2.037050832792565 absolute error = 8.881784197001252e-16 relative error = 4.3601190770607e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.572 Order of pole = 606.9 TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 2.041678160956645 y[1] (numeric) = 2.041678160956644 absolute error = 8.881784197001252e-16 relative error = 4.350237156300689e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5742 Order of pole = 610.3 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 2.04631872925742 y[1] (numeric) = 2.046318729257418 absolute error = 1.332267629550188e-15 relative error = 6.510557766500281e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5761 Order of pole = 613.4 TOP MAIN SOLVE Loop x[1] = 0.124 y[1] (analytic) = 2.050972606599108 y[1] (numeric) = 2.050972606599107 absolute error = 1.332267629550188e-15 relative error = 6.495784610986755e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5779 Order of pole = 616.3 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 2.055639862323905 y[1] (numeric) = 2.055639862323903 absolute error = 1.77635683940025e-15 relative error = 8.641381556942934e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5794 Order of pole = 619 TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 2.060320566215664 y[1] (numeric) = 2.060320566215663 absolute error = 8.881784197001252e-16 relative error = 4.310874891335504e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5807 Order of pole = 621.5 TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 2.065014788503624 y[1] (numeric) = 2.065014788503623 absolute error = 1.332267629550188e-15 relative error = 6.451613019757555e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5819 Order of pole = 623.8 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 2.069722599866163 y[1] (numeric) = 2.069722599866162 absolute error = 8.881784197001252e-16 relative error = 4.291292078259949e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5829 Order of pole = 625.9 TOP MAIN SOLVE Loop x[1] = 0.129 y[1] (analytic) = 2.074444071434594 y[1] (numeric) = 2.074444071434593 absolute error = 1.332267629550188e-15 relative error = 6.422287531853534e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5837 Order of pole = 627.9 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 2.079179274796995 y[1] (numeric) = 2.079179274796994 absolute error = 1.332267629550188e-15 relative error = 6.407661165631166e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5844 Order of pole = 629.7 TOP MAIN SOLVE Loop x[1] = 0.131 y[1] (analytic) = 2.08392828200208 y[1] (numeric) = 2.083928282002078 absolute error = 1.77635683940025e-15 relative error = 8.524078562308594e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5849 Order of pole = 631.4 TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 2.088691165563102 y[1] (numeric) = 2.088691165563101 absolute error = 8.881784197001252e-16 relative error = 4.25232046912343e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5854 Order of pole = 633 TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 2.093467998461807 y[1] (numeric) = 2.093467998461805 absolute error = 1.332267629550188e-15 relative error = 6.363926415541498e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5857 Order of pole = 634.4 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 2.098258854152407 y[1] (numeric) = 2.098258854152406 absolute error = 1.332267629550188e-15 relative error = 6.349395961864571e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5859 Order of pole = 635.7 TOP MAIN SOLVE Loop x[1] = 0.135 y[1] (analytic) = 2.103063806565614 y[1] (numeric) = 2.103063806565613 absolute error = 8.881784197001252e-16 relative error = 4.223259498486428e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.586 Order of pole = 637 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 2.107882930112698 y[1] (numeric) = 2.107882930112696 absolute error = 1.332267629550188e-15 relative error = 6.320406178719605e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5861 Order of pole = 638.1 TOP MAIN SOLVE Loop x[1] = 0.137 y[1] (analytic) = 2.112716299689589 y[1] (numeric) = 2.112716299689588 absolute error = 1.77635683940025e-15 relative error = 8.407928881228594e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.586 Order of pole = 639.1 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 2.117563990681029 y[1] (numeric) = 2.117563990681028 absolute error = 8.881784197001252e-16 relative error = 4.194340400615135e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5859 Order of pole = 640.1 TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 2.122426078964754 y[1] (numeric) = 2.122426078964752 absolute error = 1.77635683940025e-15 relative error = 8.369463874410626e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5857 Order of pole = 640.9 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 2.127302640915717 y[1] (numeric) = 2.127302640915716 absolute error = 1.332267629550188e-15 relative error = 6.262708483155461e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5854 Order of pole = 641.8 TOP MAIN SOLVE Loop x[1] = 0.141 y[1] (analytic) = 2.132193753410368 y[1] (numeric) = 2.132193753410367 absolute error = 1.332267629550188e-15 relative error = 6.248342241033551e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5851 Order of pole = 642.5 TOP MAIN SOLVE Loop x[1] = 0.142 y[1] (analytic) = 2.137099493830959 y[1] (numeric) = 2.137099493830958 absolute error = 1.332267629550188e-15 relative error = 6.233999087997389e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5847 Order of pole = 643.2 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 2.142019940069903 y[1] (numeric) = 2.142019940069901 absolute error = 1.77635683940025e-15 relative error = 8.292905244114024e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5843 Order of pole = 643.8 TOP MAIN SOLVE Loop x[1] = 0.144 y[1] (analytic) = 2.146955170534173 y[1] (numeric) = 2.146955170534171 absolute error = 1.77635683940025e-15 relative error = 8.273842247755384e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5838 Order of pole = 644.4 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 2.151905264149747 y[1] (numeric) = 2.151905264149746 absolute error = 1.332267629550188e-15 relative error = 6.191107256185781e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5833 Order of pole = 644.9 TOP MAIN SOLVE Loop x[1] = 0.146 y[1] (analytic) = 2.156870300366099 y[1] (numeric) = 2.156870300366098 absolute error = 1.332267629550188e-15 relative error = 6.17685555466202e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5828 Order of pole = 645.4 TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 2.16185035916073 y[1] (numeric) = 2.161850359160728 absolute error = 2.220446049250313e-15 relative error = 1.027104415364036e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5822 Order of pole = 645.9 TOP MAIN SOLVE Loop x[1] = 0.148 y[1] (analytic) = 2.166845521043748 y[1] (numeric) = 2.166845521043745 absolute error = 2.664535259100376e-15 relative error = 1.229683996031658e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5816 Order of pole = 646.3 TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 2.171855867062498 y[1] (numeric) = 2.171855867062495 absolute error = 2.220446049250313e-15 relative error = 1.02237265507565e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5809 Order of pole = 646.7 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 2.176881478806236 y[1] (numeric) = 2.176881478806234 absolute error = 2.220446049250313e-15 relative error = 1.020012375900211e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5802 Order of pole = 647 TOP MAIN SOLVE Loop x[1] = 0.1510000000000001 y[1] (analytic) = 2.181922438410849 y[1] (numeric) = 2.181922438410846 absolute error = 2.220446049250313e-15 relative error = 1.017655811298005e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5795 Order of pole = 647.3 TOP MAIN SOLVE Loop x[1] = 0.1520000000000001 y[1] (analytic) = 2.186978828563623 y[1] (numeric) = 2.186978828563622 absolute error = 1.77635683940025e-15 relative error = 8.122423574474821e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5788 Order of pole = 647.6 TOP MAIN SOLVE Loop x[1] = 0.1530000000000001 y[1] (analytic) = 2.192050732508069 y[1] (numeric) = 2.192050732508067 absolute error = 2.220446049250313e-15 relative error = 1.012953768049773e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.578 Order of pole = 647.9 TOP MAIN SOLVE Loop x[1] = 0.1540000000000001 y[1] (analytic) = 2.19713823404878 y[1] (numeric) = 2.197138234048778 absolute error = 2.220446049250313e-15 relative error = 1.01060826070947e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5772 Order of pole = 648.2 TOP MAIN SOLVE Loop x[1] = 0.1550000000000001 y[1] (analytic) = 2.202241417556358 y[1] (numeric) = 2.202241417556356 absolute error = 2.220446049250313e-15 relative error = 1.008266410552824e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5764 Order of pole = 648.4 TOP MAIN SOLVE Loop x[1] = 0.1560000000000001 y[1] (analytic) = 2.207360367972381 y[1] (numeric) = 2.207360367972378 absolute error = 2.220446049250313e-15 relative error = 1.005928203417892e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5756 Order of pole = 648.6 TOP MAIN SOLVE Loop x[1] = 0.1570000000000001 y[1] (analytic) = 2.212495170814417 y[1] (numeric) = 2.212495170814415 absolute error = 2.664535259100376e-15 relative error = 1.20431235025908e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5748 Order of pole = 648.8 TOP MAIN SOLVE Loop x[1] = 0.1580000000000001 y[1] (analytic) = 2.217645912181105 y[1] (numeric) = 2.217645912181102 absolute error = 2.664535259100376e-15 relative error = 1.201515194316907e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.574 Order of pole = 649 TOP MAIN SOLVE Loop x[1] = 0.1590000000000001 y[1] (analytic) = 2.222812678757271 y[1] (numeric) = 2.222812678757268 absolute error = 2.664535259100376e-15 relative error = 1.198722359542264e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5731 Order of pole = 649.1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (analytic) = 2.227995557819109 y[1] (numeric) = 2.227995557819107 absolute error = 1.77635683940025e-15 relative error = 7.97289219525667e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5722 Order of pole = 649.3 TOP MAIN SOLVE Loop x[1] = 0.1610000000000001 y[1] (analytic) = 2.233194637239414 y[1] (numeric) = 2.233194637239412 absolute error = 2.220446049250313e-15 relative error = 9.942913224953556e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5714 Order of pole = 649.4 TOP MAIN SOLVE Loop x[1] = 0.1620000000000001 y[1] (analytic) = 2.238410005492862 y[1] (numeric) = 2.23841000549286 absolute error = 1.77635683940025e-15 relative error = 7.935797441224916e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5705 Order of pole = 649.6 TOP MAIN SOLVE Loop x[1] = 0.1630000000000001 y[1] (analytic) = 2.243641751661356 y[1] (numeric) = 2.243641751661354 absolute error = 1.77635683940025e-15 relative error = 7.917292669762925e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5696 Order of pole = 649.7 TOP MAIN SOLVE Loop x[1] = 0.1640000000000001 y[1] (analytic) = 2.248889965439419 y[1] (numeric) = 2.248889965439417 absolute error = 1.77635683940025e-15 relative error = 7.898816156855241e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5687 Order of pole = 649.8 TOP MAIN SOLVE Loop x[1] = 0.1650000000000001 y[1] (analytic) = 2.254154737139648 y[1] (numeric) = 2.254154737139646 absolute error = 2.220446049250313e-15 relative error = 9.850459742918497e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5678 Order of pole = 649.9 TOP MAIN SOLVE Loop x[1] = 0.1660000000000001 y[1] (analytic) = 2.259436157698225 y[1] (numeric) = 2.259436157698222 absolute error = 2.220446049250313e-15 relative error = 9.827434343231754e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5668 Order of pole = 650 TOP MAIN SOLVE Loop x[1] = 0.1670000000000001 y[1] (analytic) = 2.264734318680482 y[1] (numeric) = 2.26473431868048 absolute error = 1.77635683940025e-15 relative error = 7.843555090538046e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5659 Order of pole = 650.1 TOP MAIN SOLVE Loop x[1] = 0.1680000000000001 y[1] (analytic) = 2.270049312286532 y[1] (numeric) = 2.270049312286531 absolute error = 1.332267629550188e-15 relative error = 5.868892901750433e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.565 Order of pole = 650.1 TOP MAIN SOLVE Loop x[1] = 0.1690000000000001 y[1] (analytic) = 2.275381231356953 y[1] (numeric) = 2.275381231356951 absolute error = 2.220446049250313e-15 relative error = 9.758567129984286e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.564 Order of pole = 650.2 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (analytic) = 2.28073016937853 y[1] (numeric) = 2.280730169378528 absolute error = 2.220446049250313e-15 relative error = 9.735680612561704e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5631 Order of pole = 650.3 TOP MAIN SOLVE Loop x[1] = 0.1710000000000001 y[1] (analytic) = 2.286096220490069 y[1] (numeric) = 2.286096220490068 absolute error = 8.881784197001252e-16 relative error = 3.885131394468284e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5621 Order of pole = 650.3 TOP MAIN SOLVE Loop x[1] = 0.1720000000000001 y[1] (analytic) = 2.29147947948826 y[1] (numeric) = 2.291479479488259 absolute error = 1.332267629550188e-15 relative error = 5.814006372196332e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5612 Order of pole = 650.4 TOP MAIN SOLVE Loop x[1] = 0.1730000000000001 y[1] (analytic) = 2.296880041833612 y[1] (numeric) = 2.29688004183361 absolute error = 2.220446049250313e-15 relative error = 9.667226885204324e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5602 Order of pole = 650.4 TOP MAIN SOLVE Loop x[1] = 0.1740000000000001 y[1] (analytic) = 2.30229800365644 y[1] (numeric) = 2.302298003656439 absolute error = 1.77635683940025e-15 relative error = 7.715581721302342e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5593 Order of pole = 650.5 TOP MAIN SOLVE Loop x[1] = 0.1750000000000001 y[1] (analytic) = 2.307733461762933 y[1] (numeric) = 2.307733461762931 absolute error = 2.220446049250313e-15 relative error = 9.621761291072414e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5583 Order of pole = 650.5 TOP MAIN SOLVE Loop x[1] = 0.1760000000000001 y[1] (analytic) = 2.313186513641266 y[1] (numeric) = 2.313186513641264 absolute error = 2.220446049250313e-15 relative error = 9.59907917565641e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5573 Order of pole = 650.6 TOP MAIN SOLVE Loop x[1] = 0.1770000000000001 y[1] (analytic) = 2.318657257467798 y[1] (numeric) = 2.318657257467795 absolute error = 2.220446049250313e-15 relative error = 9.576430678138515e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5564 Order of pole = 650.6 TOP MAIN SOLVE Loop x[1] = 0.1780000000000001 y[1] (analytic) = 2.324145792113319 y[1] (numeric) = 2.324145792113316 absolute error = 2.664535259100376e-15 relative error = 1.146457880629573e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5554 Order of pole = 650.6 TOP MAIN SOLVE Loop x[1] = 0.1790000000000001 y[1] (analytic) = 2.329652217149375 y[1] (numeric) = 2.329652217149372 absolute error = 3.108624468950438e-15 relative error = 1.334372764340865e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5544 Order of pole = 650.7 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (analytic) = 2.335176632854659 y[1] (numeric) = 2.335176632854657 absolute error = 2.664535259100376e-15 relative error = 1.141042275608543e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5534 Order of pole = 650.7 TOP MAIN SOLVE Loop x[1] = 0.1810000000000001 y[1] (analytic) = 2.34071914022147 y[1] (numeric) = 2.340719140221467 absolute error = 2.664535259100376e-15 relative error = 1.138340441326193e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5525 Order of pole = 650.7 TOP MAIN SOLVE Loop x[1] = 0.1820000000000001 y[1] (analytic) = 2.346279840962236 y[1] (numeric) = 2.346279840962235 absolute error = 1.77635683940025e-15 relative error = 7.570950439874836e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5515 Order of pole = 650.7 TOP MAIN SOLVE Loop x[1] = 0.1830000000000001 y[1] (analytic) = 2.351858837516124 y[1] (numeric) = 2.351858837516122 absolute error = 2.220446049250313e-15 relative error = 9.441238622958337e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5505 Order of pole = 650.8 TOP MAIN SOLVE Loop x[1] = 0.1840000000000001 y[1] (analytic) = 2.357456233055701 y[1] (numeric) = 2.357456233055699 absolute error = 2.220446049250313e-15 relative error = 9.41882194085191e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5495 Order of pole = 650.8 TOP MAIN SOLVE Loop x[1] = 0.1850000000000001 y[1] (analytic) = 2.363072131493682 y[1] (numeric) = 2.36307213149368 absolute error = 1.77635683940025e-15 relative error = 7.517150305003289e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5485 Order of pole = 650.8 TOP MAIN SOLVE Loop x[1] = 0.1860000000000001 y[1] (analytic) = 2.368706637489749 y[1] (numeric) = 2.368706637489747 absolute error = 2.220446049250313e-15 relative error = 9.374086322498102e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5475 Order of pole = 650.8 TOP MAIN SOLVE Loop x[1] = 0.1870000000000001 y[1] (analytic) = 2.374359856457439 y[1] (numeric) = 2.374359856457437 absolute error = 1.77635683940025e-15 relative error = 7.481413714813166e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5466 Order of pole = 650.8 TOP MAIN SOLVE Loop x[1] = 0.1880000000000001 y[1] (analytic) = 2.380031894571114 y[1] (numeric) = 2.380031894571111 absolute error = 2.664535259100376e-15 relative error = 1.119537626860471e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5456 Order of pole = 650.8 TOP MAIN SOLVE Loop x[1] = 0.1890000000000001 y[1] (analytic) = 2.385722858773 y[1] (numeric) = 2.385722858772998 absolute error = 2.664535259100376e-15 relative error = 1.116867053229633e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5446 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 2.391432856780313 y[1] (numeric) = 2.391432856780311 absolute error = 2.664535259100376e-15 relative error = 1.114200322014372e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5436 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1910000000000001 y[1] (analytic) = 2.397161997092456 y[1] (numeric) = 2.397161997092453 absolute error = 2.664535259100376e-15 relative error = 1.11153741896969e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5426 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1920000000000001 y[1] (analytic) = 2.402910388998294 y[1] (numeric) = 2.402910388998291 absolute error = 2.664535259100376e-15 relative error = 1.108878329920221e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5416 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1930000000000001 y[1] (analytic) = 2.408678142583519 y[1] (numeric) = 2.408678142583516 absolute error = 3.108624468950438e-15 relative error = 1.290593547553085e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5406 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1940000000000001 y[1] (analytic) = 2.414465368738083 y[1] (numeric) = 2.41446536873808 absolute error = 3.108624468950438e-15 relative error = 1.287500127026115e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5396 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1950000000000001 y[1] (analytic) = 2.420272179163728 y[1] (numeric) = 2.420272179163725 absolute error = 3.108624468950438e-15 relative error = 1.284411107028696e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5386 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1960000000000001 y[1] (analytic) = 2.426098686381588 y[1] (numeric) = 2.426098686381585 absolute error = 3.108624468950438e-15 relative error = 1.281326471342683e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5376 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1970000000000001 y[1] (analytic) = 2.431945003739878 y[1] (numeric) = 2.431945003739874 absolute error = 3.108624468950438e-15 relative error = 1.278246203828604e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5366 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1980000000000001 y[1] (analytic) = 2.437811245421675 y[1] (numeric) = 2.437811245421672 absolute error = 2.664535259100376e-15 relative error = 1.093003104364417e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5356 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.1990000000000001 y[1] (analytic) = 2.443697526452782 y[1] (numeric) = 2.443697526452778 absolute error = 3.108624468950438e-15 relative error = 1.272098709148693e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5347 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 2.449603962709672 y[1] (numeric) = 2.44960396270967 absolute error = 2.220446049250313e-15 relative error = 9.064510357805463e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5337 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.2010000000000001 y[1] (analytic) = 2.455530670927543 y[1] (numeric) = 2.45553067092754 absolute error = 3.108624468950438e-15 relative error = 1.265968495427588e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5327 Order of pole = 650.9 TOP MAIN SOLVE Loop x[1] = 0.2020000000000001 y[1] (analytic) = 2.461477768708431 y[1] (numeric) = 2.461477768708427 absolute error = 3.108624468950438e-15 relative error = 1.262909829399586e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5317 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2030000000000001 y[1] (analytic) = 2.467445374529447 y[1] (numeric) = 2.467445374529444 absolute error = 3.108624468950438e-15 relative error = 1.259855436330892e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5307 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2040000000000001 y[1] (analytic) = 2.473433607751088 y[1] (numeric) = 2.473433607751085 absolute error = 2.220446049250313e-15 relative error = 8.977180718706261e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5297 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2050000000000001 y[1] (analytic) = 2.479442588625646 y[1] (numeric) = 2.479442588625644 absolute error = 2.220446049250313e-15 relative error = 8.955424333826197e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5287 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2060000000000001 y[1] (analytic) = 2.485472438305715 y[1] (numeric) = 2.485472438305711 absolute error = 3.552713678800501e-15 relative error = 1.429391701974494e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5277 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2070000000000001 y[1] (analytic) = 2.491523278852783 y[1] (numeric) = 2.49152327885278 absolute error = 3.108624468950438e-15 relative error = 1.247680282715158e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5267 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2080000000000001 y[1] (analytic) = 2.49759523324595 y[1] (numeric) = 2.497595233245947 absolute error = 3.552713678800501e-15 relative error = 1.422453739304782e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5257 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2090000000000001 y[1] (analytic) = 2.503688425390706 y[1] (numeric) = 2.503688425390703 absolute error = 2.664535259100376e-15 relative error = 1.064243949877497e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5247 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 2.509802980127846 y[1] (numeric) = 2.509802980127843 absolute error = 3.552713678800501e-15 relative error = 1.415534887371729e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5237 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2110000000000001 y[1] (analytic) = 2.515939023242457 y[1] (numeric) = 2.515939023242454 absolute error = 3.552713678800501e-15 relative error = 1.412082584665301e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5227 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2120000000000001 y[1] (analytic) = 2.522096681473032 y[1] (numeric) = 2.522096681473029 absolute error = 2.664535259100376e-15 relative error = 1.056476255915833e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5217 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2130000000000001 y[1] (analytic) = 2.528276082520676 y[1] (numeric) = 2.528276082520673 absolute error = 2.664535259100376e-15 relative error = 1.053894104968098e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5207 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2140000000000001 y[1] (analytic) = 2.534477355058415 y[1] (numeric) = 2.534477355058413 absolute error = 2.664535259100376e-15 relative error = 1.051315472905049e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5197 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2150000000000001 y[1] (analytic) = 2.540700628740627 y[1] (numeric) = 2.540700628740624 absolute error = 3.108624468950438e-15 relative error = 1.223530404875493e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5187 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2160000000000001 y[1] (analytic) = 2.54694603421256 y[1] (numeric) = 2.546946034212558 absolute error = 2.664535259100376e-15 relative error = 1.046168714730609e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5177 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2170000000000001 y[1] (analytic) = 2.55321370311999 y[1] (numeric) = 2.553213703119986 absolute error = 3.996802888650564e-15 relative error = 1.565400845125705e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5167 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2180000000000001 y[1] (analytic) = 2.559503768118952 y[1] (numeric) = 2.559503768118949 absolute error = 3.108624468950438e-15 relative error = 1.214541860680693e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5157 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2190000000000001 y[1] (analytic) = 2.565816362885631 y[1] (numeric) = 2.565816362885627 absolute error = 3.552713678800501e-15 relative error = 1.384632871701294e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5147 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 2.57215162212632 y[1] (numeric) = 2.572151622126317 absolute error = 3.552713678800501e-15 relative error = 1.381222494132589e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5137 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2210000000000001 y[1] (analytic) = 2.578509681587533 y[1] (numeric) = 2.57850968158753 absolute error = 3.108624468950438e-15 relative error = 1.205589605169341e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5127 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2220000000000001 y[1] (analytic) = 2.584890678066216 y[1] (numeric) = 2.584890678066213 absolute error = 3.108624468950438e-15 relative error = 1.202613516822318e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5117 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2230000000000001 y[1] (analytic) = 2.591294749420078 y[1] (numeric) = 2.591294749420075 absolute error = 3.552713678800501e-15 relative error = 1.371018746360515e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5107 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2240000000000001 y[1] (analytic) = 2.597722034578054 y[1] (numeric) = 2.597722034578052 absolute error = 2.220446049250313e-15 relative error = 8.547666069325922e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5097 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2250000000000001 y[1] (analytic) = 2.604172673550884 y[1] (numeric) = 2.604172673550881 absolute error = 3.108624468950438e-15 relative error = 1.193709042615717e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5087 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2260000000000001 y[1] (analytic) = 2.61064680744181 y[1] (numeric) = 2.610646807441807 absolute error = 3.108624468950438e-15 relative error = 1.190748767734154e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5077 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2270000000000001 y[1] (analytic) = 2.617144578457418 y[1] (numeric) = 2.617144578457415 absolute error = 3.108624468950438e-15 relative error = 1.187792411064545e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5067 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2280000000000001 y[1] (analytic) = 2.623666129918588 y[1] (numeric) = 2.623666129918585 absolute error = 3.108624468950438e-15 relative error = 1.184839958675267e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5057 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2290000000000001 y[1] (analytic) = 2.630211606271587 y[1] (numeric) = 2.630211606271585 absolute error = 2.664535259100376e-15 relative error = 1.013049768599205e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5047 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 2.636781153099292 y[1] (numeric) = 2.636781153099289 absolute error = 3.108624468950438e-15 relative error = 1.178946711332694e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5037 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2310000000000001 y[1] (analytic) = 2.643374917132538 y[1] (numeric) = 2.643374917132535 absolute error = 2.220446049250313e-15 relative error = 8.400042063117531e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5027 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2320000000000001 y[1] (analytic) = 2.649993046261613 y[1] (numeric) = 2.649993046261611 absolute error = 1.77635683940025e-15 relative error = 6.703250945907896e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5017 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2330000000000001 y[1] (analytic) = 2.656635689547887 y[1] (numeric) = 2.656635689547884 absolute error = 3.108624468950438e-15 relative error = 1.170135777811323e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5007 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2340000000000001 y[1] (analytic) = 2.66330299723557 y[1] (numeric) = 2.663302997235567 absolute error = 3.108624468950438e-15 relative error = 1.167206462117566e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4997 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2350000000000001 y[1] (analytic) = 2.669995120763628 y[1] (numeric) = 2.669995120763626 absolute error = 2.220446049250313e-15 relative error = 8.31629253545324e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4987 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2360000000000001 y[1] (analytic) = 2.676712212777835 y[1] (numeric) = 2.676712212777832 absolute error = 2.664535259100376e-15 relative error = 9.954507796470126e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4977 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2370000000000001 y[1] (analytic) = 2.683454427142961 y[1] (numeric) = 2.683454427142958 absolute error = 3.108624468950438e-15 relative error = 1.158441312625589e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4967 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2380000000000001 y[1] (analytic) = 2.690221918955123 y[1] (numeric) = 2.69022191895512 absolute error = 3.108624468950438e-15 relative error = 1.155527150770455e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4957 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2390000000000001 y[1] (analytic) = 2.697014844554277 y[1] (numeric) = 2.697014844554273 absolute error = 3.108624468950438e-15 relative error = 1.152616744111465e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4947 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 2.70383336153686 y[1] (numeric) = 2.703833361536856 absolute error = 3.552713678800501e-15 relative error = 1.313954376530489e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4937 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2410000000000001 y[1] (analytic) = 2.71067762876859 y[1] (numeric) = 2.710677628768588 absolute error = 2.220446049250313e-15 relative error = 8.191479597885714e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4927 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2420000000000001 y[1] (analytic) = 2.717547806397426 y[1] (numeric) = 2.717547806397422 absolute error = 3.552713678800501e-15 relative error = 1.307323341446652e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4917 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2430000000000001 y[1] (analytic) = 2.724444055866665 y[1] (numeric) = 2.724444055866662 absolute error = 2.664535259100376e-15 relative error = 9.780106342659947e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4907 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2440000000000001 y[1] (analytic) = 2.731366539928233 y[1] (numeric) = 2.731366539928231 absolute error = 2.664535259100376e-15 relative error = 9.755319251916979e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4897 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2450000000000001 y[1] (analytic) = 2.738315422656109 y[1] (numeric) = 2.738315422656107 absolute error = 1.77635683940025e-15 relative error = 6.487042452097142e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4887 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2460000000000001 y[1] (analytic) = 2.74529086945993 y[1] (numeric) = 2.745290869459928 absolute error = 2.220446049250313e-15 relative error = 8.0881995928072e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4877 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2470000000000001 y[1] (analytic) = 2.752293047098756 y[1] (numeric) = 2.752293047098754 absolute error = 2.220446049250313e-15 relative error = 8.06762220175256e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4867 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2480000000000001 y[1] (analytic) = 2.759322123695011 y[1] (numeric) = 2.759322123695009 absolute error = 2.220446049250313e-15 relative error = 8.047070801131808e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4857 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2490000000000001 y[1] (analytic) = 2.766378268748589 y[1] (numeric) = 2.766378268748587 absolute error = 1.77635683940025e-15 relative error = 6.421236240421348e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4847 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 2.773461653151144 y[1] (numeric) = 2.773461653151141 absolute error = 2.664535259100376e-15 relative error = 9.607254731908737e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4837 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2510000000000001 y[1] (analytic) = 2.780572449200546 y[1] (numeric) = 2.780572449200543 absolute error = 3.108624468950438e-15 relative error = 1.117980029559817e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4827 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2520000000000001 y[1] (analytic) = 2.787710830615527 y[1] (numeric) = 2.787710830615524 absolute error = 2.664535259100376e-15 relative error = 9.558147960820046e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4817 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2530000000000001 y[1] (analytic) = 2.794876972550505 y[1] (numeric) = 2.794876972550502 absolute error = 3.108624468950438e-15 relative error = 1.112258070563163e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4807 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2540000000000001 y[1] (analytic) = 2.80207105161059 y[1] (numeric) = 2.802071051610587 absolute error = 2.664535259100376e-15 relative error = 9.509163793576324e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4797 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2550000000000001 y[1] (analytic) = 2.809293245866785 y[1] (numeric) = 2.809293245866784 absolute error = 1.77635683940025e-15 relative error = 6.323144947626033e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4787 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2560000000000001 y[1] (analytic) = 2.816543734871376 y[1] (numeric) = 2.816543734871375 absolute error = 1.77635683940025e-15 relative error = 6.30686758883711e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4777 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2570000000000001 y[1] (analytic) = 2.823822699673507 y[1] (numeric) = 2.823822699673505 absolute error = 2.220446049250313e-15 relative error = 7.863262978610672e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4767 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2580000000000001 y[1] (analytic) = 2.83113032283496 y[1] (numeric) = 2.831130322834957 absolute error = 3.108624468950438e-15 relative error = 1.098015320551407e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4757 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2590000000000001 y[1] (analytic) = 2.838466788446131 y[1] (numeric) = 2.83846678844613 absolute error = 1.332267629550188e-15 relative error = 4.693617113905054e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4747 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 2.84583228214222 y[1] (numeric) = 2.845832282142218 absolute error = 1.77635683940025e-15 relative error = 6.241958988753496e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4737 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2610000000000001 y[1] (analytic) = 2.853226991119595 y[1] (numeric) = 2.853226991119592 absolute error = 3.108624468950438e-15 relative error = 1.089511797913641e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4727 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2620000000000001 y[1] (analytic) = 2.860651104152399 y[1] (numeric) = 2.860651104152395 absolute error = 3.552713678800501e-15 relative error = 1.241924844887073e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4717 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2630000000000001 y[1] (analytic) = 2.868104811609348 y[1] (numeric) = 2.868104811609345 absolute error = 3.552713678800501e-15 relative error = 1.238697297400023e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4707 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2640000000000001 y[1] (analytic) = 2.875588305470751 y[1] (numeric) = 2.875588305470748 absolute error = 3.108624468950438e-15 relative error = 1.081039473917855e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4697 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2650000000000001 y[1] (analytic) = 2.883101779345745 y[1] (numeric) = 2.883101779345742 absolute error = 2.664535259100376e-15 relative error = 9.241904944836988e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4687 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2660000000000001 y[1] (analytic) = 2.890645428489748 y[1] (numeric) = 2.890645428489745 absolute error = 3.108624468950438e-15 relative error = 1.075408432425618e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4677 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2670000000000001 y[1] (analytic) = 2.898219449822143 y[1] (numeric) = 2.898219449822141 absolute error = 2.664535259100376e-15 relative error = 9.193697389836687e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4667 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2680000000000001 y[1] (analytic) = 2.905824041944184 y[1] (numeric) = 2.905824041944183 absolute error = 1.332267629550188e-15 relative error = 4.584818661830655e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4657 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2690000000000001 y[1] (analytic) = 2.913459405157139 y[1] (numeric) = 2.913459405157138 absolute error = 1.77635683940025e-15 relative error = 6.097070843876891e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4647 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 2.921125741480657 y[1] (numeric) = 2.921125741480655 absolute error = 2.220446049250313e-15 relative error = 7.60133676452016e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4637 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2710000000000001 y[1] (analytic) = 2.928823254671381 y[1] (numeric) = 2.92882325467138 absolute error = 1.332267629550188e-15 relative error = 4.548815390021445e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4627 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2720000000000001 y[1] (analytic) = 2.936552150241808 y[1] (numeric) = 2.936552150241806 absolute error = 1.77635683940025e-15 relative error = 6.049124103769034e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4617 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2730000000000001 y[1] (analytic) = 2.944312635479375 y[1] (numeric) = 2.944312635479373 absolute error = 2.220446049250313e-15 relative error = 7.541475122219123e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4607 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2740000000000001 y[1] (analytic) = 2.952104919465819 y[1] (numeric) = 2.952104919465816 absolute error = 3.108624468950438e-15 relative error = 1.053019643188339e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4597 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2750000000000001 y[1] (analytic) = 2.959929213096766 y[1] (numeric) = 2.959929213096764 absolute error = 2.664535259100376e-15 relative error = 9.002023586613611e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4587 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2760000000000001 y[1] (analytic) = 2.967785729101597 y[1] (numeric) = 2.967785729101595 absolute error = 1.77635683940025e-15 relative error = 5.985461894979819e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4577 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2770000000000001 y[1] (analytic) = 2.975674682063561 y[1] (numeric) = 2.975674682063558 absolute error = 3.108624468950438e-15 relative error = 1.044678871547437e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4567 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2780000000000001 y[1] (analytic) = 2.983596288440156 y[1] (numeric) = 2.983596288440153 absolute error = 3.108624468950438e-15 relative error = 1.04190519374042e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4557 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2790000000000001 y[1] (analytic) = 2.991550766583783 y[1] (numeric) = 2.991550766583779 absolute error = 3.552713678800501e-15 relative error = 1.187582613835279e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4547 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 2.999538336762665 y[1] (numeric) = 2.999538336762663 absolute error = 1.77635683940025e-15 relative error = 5.92210080341041e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4537 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2810000000000001 y[1] (analytic) = 3.007559221182058 y[1] (numeric) = 3.007559221182055 absolute error = 3.108624468950438e-15 relative error = 1.033603743213628e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4527 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2820000000000001 y[1] (analytic) = 3.015613644005719 y[1] (numeric) = 3.015613644005716 absolute error = 3.552713678800501e-15 relative error = 1.178106381718494e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4517 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2830000000000001 y[1] (analytic) = 3.023701831377682 y[1] (numeric) = 3.02370183137768 absolute error = 1.332267629550188e-15 relative error = 4.406081365976387e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4507 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2840000000000001 y[1] (analytic) = 3.031824011444321 y[1] (numeric) = 3.031824011444319 absolute error = 1.77635683940025e-15 relative error = 5.859036780152742e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4497 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2850000000000001 y[1] (analytic) = 3.039980414376692 y[1] (numeric) = 3.039980414376689 absolute error = 3.108624468950438e-15 relative error = 1.022580426587328e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4487 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2860000000000001 y[1] (analytic) = 3.048171272393188 y[1] (numeric) = 3.048171272393186 absolute error = 2.220446049250313e-15 relative error = 7.284518653398996e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4477 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2870000000000001 y[1] (analytic) = 3.056396819782504 y[1] (numeric) = 3.056396819782501 absolute error = 2.664535259100376e-15 relative error = 8.717896975465335e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4467 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2880000000000001 y[1] (analytic) = 3.064657292926888 y[1] (numeric) = 3.064657292926887 absolute error = 1.332267629550188e-15 relative error = 4.347199383843051e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4457 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2890000000000001 y[1] (analytic) = 3.072952930325735 y[1] (numeric) = 3.072952930325734 absolute error = 1.77635683940025e-15 relative error = 5.780618446413871e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4447 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 3.081283972619472 y[1] (numeric) = 3.081283972619469 absolute error = 2.220446049250313e-15 relative error = 7.206236325445395e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4437 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2910000000000001 y[1] (analytic) = 3.089650662613782 y[1] (numeric) = 3.089650662613779 absolute error = 2.664535259100376e-15 relative error = 8.624066440075245e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4427 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2920000000000001 y[1] (analytic) = 3.098053245304157 y[1] (numeric) = 3.098053245304154 absolute error = 2.664535259100376e-15 relative error = 8.600676128272225e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4417 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2930000000000001 y[1] (analytic) = 3.106491967900781 y[1] (numeric) = 3.106491967900779 absolute error = 2.664535259100376e-15 relative error = 8.577312565533337e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4407 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2940000000000002 y[1] (analytic) = 3.114967079853752 y[1] (numeric) = 3.114967079853749 absolute error = 3.552713678800501e-15 relative error = 1.140530088352427e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4397 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2950000000000002 y[1] (analytic) = 3.123478832878645 y[1] (numeric) = 3.123478832878643 absolute error = 1.77635683940025e-15 relative error = 5.687110220507347e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4387 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2960000000000002 y[1] (analytic) = 3.132027480982443 y[1] (numeric) = 3.132027480982442 absolute error = 1.332267629550188e-15 relative error = 4.253690740709232e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4377 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2970000000000002 y[1] (analytic) = 3.140613280489799 y[1] (numeric) = 3.140613280489797 absolute error = 1.332267629550188e-15 relative error = 4.2420620132588e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4367 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2980000000000002 y[1] (analytic) = 3.149236490069675 y[1] (numeric) = 3.149236490069673 absolute error = 2.220446049250313e-15 relative error = 7.050744065274015e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4357 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.2990000000000002 y[1] (analytic) = 3.157897370762346 y[1] (numeric) = 3.157897370762343 absolute error = 2.664535259100376e-15 relative error = 8.437687949488783e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4347 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 3.166596186006776 y[1] (numeric) = 3.166596186006774 absolute error = 1.77635683940025e-15 relative error = 5.609672768665583e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4337 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3010000000000002 y[1] (analytic) = 3.175333201668377 y[1] (numeric) = 3.175333201668375 absolute error = 1.77635683940025e-15 relative error = 5.59423760148044e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4327 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3020000000000002 y[1] (analytic) = 3.184108686067144 y[1] (numeric) = 3.184108686067142 absolute error = 2.220446049250313e-15 relative error = 6.97352467573241e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4317 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3030000000000002 y[1] (analytic) = 3.192922910006192 y[1] (numeric) = 3.192922910006191 absolute error = 1.77635683940025e-15 relative error = 5.563419128703002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4307 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3040000000000002 y[1] (analytic) = 3.20177614680069 y[1] (numeric) = 3.201776146800687 absolute error = 3.552713678800501e-15 relative error = 1.109607141758014e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4297 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3050000000000002 y[1] (analytic) = 3.210668672307187 y[1] (numeric) = 3.210668672307185 absolute error = 2.664535259100376e-15 relative error = 8.299004136062536e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4287 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3060000000000002 y[1] (analytic) = 3.219600764953374 y[1] (numeric) = 3.219600764953371 absolute error = 2.664535259100376e-15 relative error = 8.275980326830874e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4277 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3070000000000002 y[1] (analytic) = 3.228572705768237 y[1] (numeric) = 3.228572705768234 absolute error = 2.664535259100376e-15 relative error = 8.252982050984512e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4267 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3080000000000002 y[1] (analytic) = 3.237584778412652 y[1] (numeric) = 3.23758477841265 absolute error = 1.77635683940025e-15 relative error = 5.48667281624414e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4257 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3090000000000002 y[1] (analytic) = 3.246637269210414 y[1] (numeric) = 3.246637269210411 absolute error = 3.108624468950438e-15 relative error = 9.574905390359359e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4247 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 3.255730467179684 y[1] (numeric) = 3.255730467179681 absolute error = 3.108624468950438e-15 relative error = 9.548162847900987e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4237 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3110000000000002 y[1] (analytic) = 3.26486466406491 y[1] (numeric) = 3.264864664064907 absolute error = 3.552713678800501e-15 relative error = 1.088165680465666e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4227 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3120000000000002 y[1] (analytic) = 3.27404015436918 y[1] (numeric) = 3.274040154369179 absolute error = 8.881784197001252e-16 relative error = 2.71279024637147e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4217 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3130000000000002 y[1] (analytic) = 3.283257235387058 y[1] (numeric) = 3.283257235387055 absolute error = 3.108624468950438e-15 relative error = 9.46811122639304e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4207 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3140000000000002 y[1] (analytic) = 3.292516207237853 y[1] (numeric) = 3.292516207237851 absolute error = 2.220446049250313e-15 relative error = 6.743918357544191e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4197 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3150000000000002 y[1] (analytic) = 3.301817372899414 y[1] (numeric) = 3.301817372899411 absolute error = 3.108624468950438e-15 relative error = 9.414889189406233e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4187 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3160000000000002 y[1] (analytic) = 3.311161038242362 y[1] (numeric) = 3.31116103824236 absolute error = 1.332267629550188e-15 relative error = 4.023566399106295e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4177 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3170000000000002 y[1] (analytic) = 3.320547512064856 y[1] (numeric) = 3.320547512064854 absolute error = 2.220446049250313e-15 relative error = 6.686987736758949e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4167 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3180000000000002 y[1] (analytic) = 3.329977106127823 y[1] (numeric) = 3.329977106127821 absolute error = 2.220446049250313e-15 relative error = 6.668051997006972e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4157 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3190000000000002 y[1] (analytic) = 3.33945013519073 y[1] (numeric) = 3.339450135190728 absolute error = 2.220446049250313e-15 relative error = 6.649136712213534e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4147 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 3.348966917047851 y[1] (numeric) = 3.34896691704785 absolute error = 1.77635683940025e-15 relative error = 5.304193452487513e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4137 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3210000000000002 y[1] (analytic) = 3.358527772565078 y[1] (numeric) = 3.358527772565076 absolute error = 1.77635683940025e-15 relative error = 5.289093792556483e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4127 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3220000000000002 y[1] (analytic) = 3.368133025717255 y[1] (numeric) = 3.368133025717251 absolute error = 3.996802888650564e-15 relative error = 1.186652325823571e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4117 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3230000000000002 y[1] (analytic) = 3.377783003626062 y[1] (numeric) = 3.377783003626058 absolute error = 3.996802888650564e-15 relative error = 1.183262182431489e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4107 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3240000000000002 y[1] (analytic) = 3.387478036598461 y[1] (numeric) = 3.387478036598458 absolute error = 2.664535259100376e-15 relative error = 7.86583774215691e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4097 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3250000000000002 y[1] (analytic) = 3.3972184581657 y[1] (numeric) = 3.397218458165696 absolute error = 3.996802888650564e-15 relative error = 1.176492750721896e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4087 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3260000000000002 y[1] (analytic) = 3.407004605122878 y[1] (numeric) = 3.407004605122874 absolute error = 3.996802888650564e-15 relative error = 1.173113438896105e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4077 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3270000000000002 y[1] (analytic) = 3.41683681756912 y[1] (numeric) = 3.416836817569117 absolute error = 2.664535259100376e-15 relative error = 7.798251427751932e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4067 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3280000000000002 y[1] (analytic) = 3.42671543894833 y[1] (numeric) = 3.426715438948328 absolute error = 2.664535259100376e-15 relative error = 7.775770432569475e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4057 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3290000000000002 y[1] (analytic) = 3.436640816090546 y[1] (numeric) = 3.436640816090542 absolute error = 3.996802888650564e-15 relative error = 1.162996979474057e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4047 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 3.446613299253906 y[1] (numeric) = 3.446613299253904 absolute error = 2.220446049250313e-15 relative error = 6.442399702139421e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4037 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3310000000000002 y[1] (analytic) = 3.456633242167271 y[1] (numeric) = 3.456633242167267 absolute error = 4.440892098500626e-15 relative error = 1.284744949023355e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4027 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3320000000000002 y[1] (analytic) = 3.466701002073429 y[1] (numeric) = 3.466701002073426 absolute error = 2.220446049250313e-15 relative error = 6.405069395723103e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4017 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3330000000000002 y[1] (analytic) = 3.476816939773005 y[1] (numeric) = 3.476816939773002 absolute error = 2.664535259100376e-15 relative error = 7.663720308709548e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4007 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3340000000000002 y[1] (analytic) = 3.486981419668983 y[1] (numeric) = 3.486981419668979 absolute error = 3.996802888650564e-15 relative error = 1.146207107989115e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3997 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3350000000000002 y[1] (analytic) = 3.497194809811921 y[1] (numeric) = 3.497194809811917 absolute error = 3.996802888650564e-15 relative error = 1.142859664962591e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3987 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3360000000000002 y[1] (analytic) = 3.507457481945849 y[1] (numeric) = 3.507457481945847 absolute error = 2.220446049250313e-15 relative error = 6.330642810867277e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3977 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3370000000000002 y[1] (analytic) = 3.517769811554853 y[1] (numeric) = 3.517769811554851 absolute error = 2.664535259100376e-15 relative error = 7.574501464957003e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3967 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3380000000000002 y[1] (analytic) = 3.528132177910364 y[1] (numeric) = 3.528132177910361 absolute error = 2.664535259100376e-15 relative error = 7.552254634287886e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3957 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3390000000000002 y[1] (analytic) = 3.538544964119172 y[1] (numeric) = 3.538544964119168 absolute error = 3.552713678800501e-15 relative error = 1.00400410757105e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3947 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 3.549008557172168 y[1] (numeric) = 3.549008557172165 absolute error = 3.108624468950438e-15 relative error = 8.759134893231631e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3937 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3410000000000002 y[1] (analytic) = 3.559523347993839 y[1] (numeric) = 3.559523347993834 absolute error = 4.884981308350689e-15 relative error = 1.372369508716352e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3927 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3420000000000002 y[1] (analytic) = 3.570089731492496 y[1] (numeric) = 3.570089731492494 absolute error = 2.664535259100376e-15 relative error = 7.463496605130011e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3917 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3430000000000002 y[1] (analytic) = 3.580708106611315 y[1] (numeric) = 3.580708106611312 absolute error = 3.108624468950438e-15 relative error = 8.681591395877157e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3907 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3440000000000002 y[1] (analytic) = 3.591378876380116 y[1] (numeric) = 3.591378876380114 absolute error = 2.664535259100376e-15 relative error = 7.419254138360527e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3897 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3450000000000002 y[1] (analytic) = 3.602102447967979 y[1] (numeric) = 3.602102447967977 absolute error = 1.77635683940025e-15 relative error = 4.931444524578501e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3887 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3460000000000002 y[1] (analytic) = 3.612879232736657 y[1] (numeric) = 3.612879232736652 absolute error = 4.440892098500626e-15 relative error = 1.229183654482902e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3877 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3470000000000002 y[1] (analytic) = 3.623709646294808 y[1] (numeric) = 3.623709646294805 absolute error = 3.552713678800501e-15 relative error = 9.804079315331184e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3867 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3480000000000002 y[1] (analytic) = 3.634594108553105 y[1] (numeric) = 3.634594108553102 absolute error = 2.664535259100376e-15 relative error = 7.331039394000174e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3857 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3490000000000002 y[1] (analytic) = 3.645533043780167 y[1] (numeric) = 3.645533043780163 absolute error = 3.108624468950438e-15 relative error = 8.527215174346655e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3847 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 3.65652688065938 y[1] (numeric) = 3.656526880659376 absolute error = 3.996802888650564e-15 relative error = 1.093059895112769e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3837 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3510000000000002 y[1] (analytic) = 3.667576052346617 y[1] (numeric) = 3.667576052346613 absolute error = 4.440892098500626e-15 relative error = 1.210852081897312e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3827 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3520000000000002 y[1] (analytic) = 3.678680996528851 y[1] (numeric) = 3.678680996528847 absolute error = 3.996802888650564e-15 relative error = 1.086477161901749e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3817 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3530000000000002 y[1] (analytic) = 3.689842155483702 y[1] (numeric) = 3.689842155483698 absolute error = 3.996802888650564e-15 relative error = 1.083190749151876e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3807 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3540000000000002 y[1] (analytic) = 3.701059976139916 y[1] (numeric) = 3.701059976139913 absolute error = 2.664535259100376e-15 relative error = 7.199384166369005e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3797 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3550000000000002 y[1] (analytic) = 3.712334910138816 y[1] (numeric) = 3.71233491013881 absolute error = 5.329070518200751e-15 relative error = 1.435503705133511e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3787 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3560000000000002 y[1] (analytic) = 3.723667413896697 y[1] (numeric) = 3.723667413896695 absolute error = 2.220446049250313e-15 relative error = 5.96306222452528e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3777 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3570000000000002 y[1] (analytic) = 3.735057948668274 y[1] (numeric) = 3.73505794866827 absolute error = 3.996802888650564e-15 relative error = 1.070077879267071e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3767 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3580000000000002 y[1] (analytic) = 3.746506980611067 y[1] (numeric) = 3.746506980611063 absolute error = 4.440892098500626e-15 relative error = 1.185342005629015e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3757 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3590000000000002 y[1] (analytic) = 3.758014980850882 y[1] (numeric) = 3.758014980850879 absolute error = 2.664535259100376e-15 relative error = 7.090273116732166e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3747 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 3.769582425548313 y[1] (numeric) = 3.76958242554831 absolute error = 3.552713678800501e-15 relative error = 9.424687611874498e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3737 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3610000000000002 y[1] (analytic) = 3.781209795966308 y[1] (numeric) = 3.781209795966305 absolute error = 2.220446049250313e-15 relative error = 5.872316451784889e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3727 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3620000000000002 y[1] (analytic) = 3.792897578538851 y[1] (numeric) = 3.792897578538847 absolute error = 3.552713678800501e-15 relative error = 9.366753531396763e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3717 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3630000000000002 y[1] (analytic) = 3.804646264940726 y[1] (numeric) = 3.804646264940722 absolute error = 3.996802888650564e-15 relative error = 1.05050577907348e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3707 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3640000000000002 y[1] (analytic) = 3.816456352158441 y[1] (numeric) = 3.816456352158436 absolute error = 4.440892098500626e-15 relative error = 1.163616635098952e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3697 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3650000000000002 y[1] (analytic) = 3.828328342562281 y[1] (numeric) = 3.828328342562279 absolute error = 2.220446049250313e-15 relative error = 5.800040776450694e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3687 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3660000000000002 y[1] (analytic) = 3.840262743979563 y[1] (numeric) = 3.840262743979562 absolute error = 8.881784197001252e-16 relative error = 2.312806385689458e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3677 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3670000000000002 y[1] (analytic) = 3.852260069769063 y[1] (numeric) = 3.85226006976906 absolute error = 3.108624468950438e-15 relative error = 8.069612156628863e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3667 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3680000000000002 y[1] (analytic) = 3.86432083889667 y[1] (numeric) = 3.864320838896668 absolute error = 1.77635683940025e-15 relative error = 4.596815102721726e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3657 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3690000000000002 y[1] (analytic) = 3.876445576012314 y[1] (numeric) = 3.876445576012311 absolute error = 3.108624468950438e-15 relative error = 8.019265092193735e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3647 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 3.888634811528111 y[1] (numeric) = 3.888634811528108 absolute error = 2.664535259100376e-15 relative error = 6.852109771792371e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3637 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3710000000000002 y[1] (analytic) = 3.900889081697851 y[1] (numeric) = 3.900889081697849 absolute error = 2.220446049250313e-15 relative error = 5.692153769939724e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3627 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3720000000000002 y[1] (analytic) = 3.913208928697769 y[1] (numeric) = 3.913208928697767 absolute error = 2.220446049250313e-15 relative error = 5.674233320297644e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3617 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3730000000000002 y[1] (analytic) = 3.92559490070868 y[1] (numeric) = 3.925594900708677 absolute error = 2.664535259100376e-15 relative error = 6.787596087969629e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3607 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3740000000000002 y[1] (analytic) = 3.938047551999469 y[1] (numeric) = 3.938047551999466 absolute error = 3.552713678800501e-15 relative error = 9.021510359865202e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3597 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3750000000000002 y[1] (analytic) = 3.950567443011989 y[1] (numeric) = 3.950567443011988 absolute error = 1.332267629550188e-15 relative error = 3.372344982761366e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3587 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3760000000000002 y[1] (analytic) = 3.963155140447387 y[1] (numeric) = 3.963155140447385 absolute error = 1.77635683940025e-15 relative error = 4.482178406974307e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3577 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3770000000000002 y[1] (analytic) = 3.975811217353857 y[1] (numeric) = 3.975811217353853 absolute error = 4.440892098500626e-15 relative error = 1.116977606762805e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3567 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3780000000000002 y[1] (analytic) = 3.988536253215897 y[1] (numeric) = 3.988536253215894 absolute error = 2.664535259100376e-15 relative error = 6.680483991970742e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3557 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3790000000000002 y[1] (analytic) = 4.001330834045078 y[1] (numeric) = 4.001330834045074 absolute error = 3.552713678800501e-15 relative error = 8.87883013464534e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3547 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 4.014195552472326 y[1] (numeric) = 4.014195552472323 absolute error = 2.664535259100376e-15 relative error = 6.637781404195169e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3537 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3810000000000002 y[1] (analytic) = 4.027131007841808 y[1] (numeric) = 4.027131007841803 absolute error = 5.329070518200751e-15 relative error = 1.323292067683855e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3527 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3820000000000002 y[1] (analytic) = 4.040137806306383 y[1] (numeric) = 4.040137806306379 absolute error = 4.440892098500626e-15 relative error = 1.099193223451114e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3517 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3830000000000002 y[1] (analytic) = 4.053216560924723 y[1] (numeric) = 4.053216560924721 absolute error = 2.664535259100376e-15 relative error = 6.573878348341875e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3507 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3840000000000002 y[1] (analytic) = 4.066367891760081 y[1] (numeric) = 4.066367891760075 absolute error = 5.329070518200751e-15 relative error = 1.310523459768448e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3497 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3850000000000002 y[1] (analytic) = 4.079592425980733 y[1] (numeric) = 4.079592425980731 absolute error = 2.664535259100376e-15 relative error = 6.531376129956957e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3487 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3860000000000002 y[1] (analytic) = 4.092890797962228 y[1] (numeric) = 4.092890797962223 absolute error = 4.440892098500626e-15 relative error = 1.085025796610958e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3477 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3870000000000002 y[1] (analytic) = 4.106263649391305 y[1] (numeric) = 4.106263649391303 absolute error = 2.664535259100376e-15 relative error = 6.488953186177791e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3467 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3880000000000002 y[1] (analytic) = 4.119711629371716 y[1] (numeric) = 4.119711629371714 absolute error = 2.664535259100376e-15 relative error = 6.467771287930499e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3457 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3890000000000002 y[1] (analytic) = 4.13323539453181 y[1] (numeric) = 4.133235394531805 absolute error = 4.440892098500626e-15 relative error = 1.074434837264735e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3447 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 4.146835609134033 y[1] (numeric) = 4.146835609134031 absolute error = 2.664535259100376e-15 relative error = 6.425466332042036e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3437 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3910000000000002 y[1] (analytic) = 4.160512945186357 y[1] (numeric) = 4.160512945186356 absolute error = 1.77635683940025e-15 relative error = 4.269562101604479e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3427 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3920000000000002 y[1] (analytic) = 4.17426808255563 y[1] (numeric) = 4.174268082555627 absolute error = 2.664535259100376e-15 relative error = 6.383239424021506e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3417 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3930000000000002 y[1] (analytic) = 4.18810170908294 y[1] (numeric) = 4.188101709082938 absolute error = 1.77635683940025e-15 relative error = 4.241436724298694e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3407 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3940000000000002 y[1] (analytic) = 4.202014520701027 y[1] (numeric) = 4.202014520701026 absolute error = 8.881784197001252e-16 relative error = 2.113696693156475e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3397 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3950000000000002 y[1] (analytic) = 4.216007221553762 y[1] (numeric) = 4.21600722155376 absolute error = 2.664535259100376e-15 relative error = 6.320044343089125e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3387 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3960000000000002 y[1] (analytic) = 4.230080524117738 y[1] (numeric) = 4.230080524117734 absolute error = 3.552713678800501e-15 relative error = 8.398690423373172e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3377 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3970000000000002 y[1] (analytic) = 4.244235149326052 y[1] (numeric) = 4.24423514932605 absolute error = 1.77635683940025e-15 relative error = 4.185340295488389e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3367 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3980000000000002 y[1] (analytic) = 4.258471826694294 y[1] (numeric) = 4.25847182669429 absolute error = 3.552713678800501e-15 relative error = 8.342696214473612e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3357 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.3990000000000002 y[1] (analytic) = 4.272791294448767 y[1] (numeric) = 4.272791294448764 absolute error = 3.552713678800501e-15 relative error = 8.314737215028979e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3347 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 4.287194299657055 y[1] (numeric) = 4.287194299657051 absolute error = 4.440892098500626e-15 relative error = 1.035850439261842e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3337 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4010000000000002 y[1] (analytic) = 4.301681598360906 y[1] (numeric) = 4.301681598360904 absolute error = 1.77635683940025e-15 relative error = 4.129447516703946e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3327 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4020000000000002 y[1] (analytic) = 4.316253955711556 y[1] (numeric) = 4.316253955711553 absolute error = 2.664535259100376e-15 relative error = 6.173258771241864e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3317 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4030000000000002 y[1] (analytic) = 4.330912146107466 y[1] (numeric) = 4.330912146107463 absolute error = 3.552713678800501e-15 relative error = 8.203153421141563e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3307 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4040000000000002 y[1] (analytic) = 4.345656953334602 y[1] (numeric) = 4.3456569533346 absolute error = 2.664535259100376e-15 relative error = 6.131490100836809e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3297 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4050000000000002 y[1] (analytic) = 4.36048917070926 y[1] (numeric) = 4.360489170709259 absolute error = 8.881784197001252e-16 relative error = 2.036877939443793e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3287 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4060000000000002 y[1] (analytic) = 4.375409601223508 y[1] (numeric) = 4.375409601223507 absolute error = 8.881784197001252e-16 relative error = 2.029932053565366e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3277 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4070000000000003 y[1] (analytic) = 4.390419057693292 y[1] (numeric) = 4.390419057693288 absolute error = 4.440892098500626e-15 relative error = 1.011496178415792e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3267 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4080000000000003 y[1] (analytic) = 4.405518362909272 y[1] (numeric) = 4.405518362909271 absolute error = 8.881784197001252e-16 relative error = 2.016058830165899e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3257 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4090000000000003 y[1] (analytic) = 4.42070834979048 y[1] (numeric) = 4.420708349790475 absolute error = 4.440892098500626e-15 relative error = 1.004565727280132e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3247 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 4.435989861540744 y[1] (numeric) = 4.435989861540742 absolute error = 1.77635683940025e-15 relative error = 4.004420422149639e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3237 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4110000000000003 y[1] (analytic) = 4.45136375180813 y[1] (numeric) = 4.451363751808125 absolute error = 5.329070518200751e-15 relative error = 1.197177048502518e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3227 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4120000000000003 y[1] (analytic) = 4.466830884847244 y[1] (numeric) = 4.466830884847241 absolute error = 3.552713678800501e-15 relative error = 7.953544180175507e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3217 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4130000000000003 y[1] (analytic) = 4.482392135684671 y[1] (numeric) = 4.482392135684668 absolute error = 2.664535259100376e-15 relative error = 5.944449254869524e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3207 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4140000000000003 y[1] (analytic) = 4.498048390287445 y[1] (numeric) = 4.498048390287443 absolute error = 1.77635683940025e-15 relative error = 3.949172363809838e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3197 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4150000000000003 y[1] (analytic) = 4.513800545734735 y[1] (numeric) = 4.513800545734732 absolute error = 2.664535259100376e-15 relative error = 5.903085951855357e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3187 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4160000000000003 y[1] (analytic) = 4.529649510392744 y[1] (numeric) = 4.529649510392741 absolute error = 3.552713678800501e-15 relative error = 7.843241890237248e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3177 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4170000000000003 y[1] (analytic) = 4.545596204092945 y[1] (numeric) = 4.545596204092942 absolute error = 2.664535259100376e-15 relative error = 5.861794887766704e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3167 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4180000000000003 y[1] (analytic) = 4.561641558313691 y[1] (numeric) = 4.561641558313689 absolute error = 1.77635683940025e-15 relative error = 3.894117537935004e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3157 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4190000000000003 y[1] (analytic) = 4.577786516365292 y[1] (numeric) = 4.577786516365289 absolute error = 3.552713678800501e-15 relative error = 7.76076749341582e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3147 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 4.594032033578622 y[1] (numeric) = 4.594032033578618 absolute error = 3.552713678800501e-15 relative error = 7.733323696554716e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3137 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4210000000000003 y[1] (analytic) = 4.610379077497364 y[1] (numeric) = 4.610379077497361 absolute error = 3.552713678800501e-15 relative error = 7.70590361244006e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3127 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4220000000000003 y[1] (analytic) = 4.626828628073936 y[1] (numeric) = 4.626828628073935 absolute error = 8.881784197001252e-16 relative error = 1.919626792120584e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3117 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4230000000000003 y[1] (analytic) = 4.643381677869224 y[1] (numeric) = 4.643381677869219 absolute error = 4.440892098500626e-15 relative error = 9.563917865434838e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3107 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4240000000000003 y[1] (analytic) = 4.660039232256135 y[1] (numeric) = 4.660039232256133 absolute error = 1.77635683940025e-15 relative error = 3.811892455978823e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3097 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4250000000000003 y[1] (analytic) = 4.676802309627185 y[1] (numeric) = 4.676802309627183 absolute error = 1.77635683940025e-15 relative error = 3.798229477742997e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3087 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4260000000000003 y[1] (analytic) = 4.693671941606057 y[1] (numeric) = 4.693671941606055 absolute error = 2.664535259100376e-15 relative error = 5.676867263519568e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3077 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4270000000000003 y[1] (analytic) = 4.710649173263343 y[1] (numeric) = 4.710649173263341 absolute error = 2.664535259100376e-15 relative error = 5.656407771191535e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3067 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4280000000000003 y[1] (analytic) = 4.72773506333651 y[1] (numeric) = 4.727735063336505 absolute error = 5.329070518200751e-15 relative error = 1.127193137265154e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3057 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4290000000000003 y[1] (analytic) = 4.744930684454183 y[1] (numeric) = 4.74493068445418 absolute error = 3.552713678800501e-15 relative error = 7.487387941072052e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3047 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 4.762237123364892 y[1] (numeric) = 4.762237123364889 absolute error = 3.552713678800501e-15 relative error = 7.460178035591457e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3037 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4310000000000003 y[1] (analytic) = 4.779655481170312 y[1] (numeric) = 4.77965548117031 absolute error = 2.664535259100376e-15 relative error = 5.574743346246279e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3027 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4320000000000003 y[1] (analytic) = 4.797186873563176 y[1] (numeric) = 4.797186873563171 absolute error = 5.329070518200751e-15 relative error = 1.11087407237953e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3017 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4330000000000003 y[1] (analytic) = 4.814832431069902 y[1] (numeric) = 4.8148324310699 absolute error = 2.664535259100376e-15 relative error = 5.534014521266091e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3007 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4340000000000003 y[1] (analytic) = 4.832593299298124 y[1] (numeric) = 4.832593299298122 absolute error = 2.664535259100376e-15 relative error = 5.513675772151915e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2997 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4350000000000003 y[1] (analytic) = 4.850470639189137 y[1] (numeric) = 4.850470639189137 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2987 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4360000000000003 y[1] (analytic) = 4.868465627275488 y[1] (numeric) = 4.868465627275484 absolute error = 4.440892098500626e-15 relative error = 9.12174890096915e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2977 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4370000000000003 y[1] (analytic) = 4.88657945594371 y[1] (numeric) = 4.88657945594371 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2967 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4380000000000003 y[1] (analytic) = 4.904813333702474 y[1] (numeric) = 4.904813333702474 absolute error = 8.881784197001252e-16 relative error = 1.810830217731589e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2957 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4390000000000003 y[1] (analytic) = 4.923168485456106 y[1] (numeric) = 4.923168485456106 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2947 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 4.941646152783765 y[1] (numeric) = 4.941646152783762 absolute error = 2.664535259100376e-15 relative error = 5.391999298855848e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2937 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4410000000000003 y[1] (analytic) = 4.960247594224293 y[1] (numeric) = 4.96024759422429 absolute error = 2.664535259100376e-15 relative error = 5.371778743873507e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2927 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4420000000000003 y[1] (analytic) = 4.978974085566966 y[1] (numeric) = 4.978974085566964 absolute error = 1.77635683940025e-15 relative error = 3.567716579504898e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2917 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4430000000000003 y[1] (analytic) = 4.997826920148219 y[1] (numeric) = 4.997826920148218 absolute error = 8.881784197001252e-16 relative error = 1.777129208135493e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2907 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4440000000000003 y[1] (analytic) = 5.016807409154517 y[1] (numeric) = 5.016807409154518 absolute error = 8.881784197001252e-16 relative error = 1.770405652964482e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2897 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4450000000000003 y[1] (analytic) = 5.035916881931541 y[1] (numeric) = 5.035916881931539 absolute error = 2.664535259100376e-15 relative error = 5.291062822463394e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2887 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4460000000000003 y[1] (analytic) = 5.055156686299781 y[1] (numeric) = 5.055156686299779 absolute error = 1.77635683940025e-15 relative error = 3.513950110022186e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2877 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4470000000000003 y[1] (analytic) = 5.074528188876791 y[1] (numeric) = 5.07452818887679 absolute error = 1.77635683940025e-15 relative error = 3.500535957794006e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2867 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4480000000000003 y[1] (analytic) = 5.094032775406163 y[1] (numeric) = 5.094032775406164 absolute error = 8.881784197001252e-16 relative error = 1.743566362564889e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2857 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4490000000000003 y[1] (analytic) = 5.11367185109346 y[1] (numeric) = 5.11367185109346 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2847 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 5.133446840949234 y[1] (numeric) = 5.133446840949234 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2837 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4510000000000003 y[1] (analytic) = 5.15335919013935 y[1] (numeric) = 5.153359190139345 absolute error = 4.440892098500626e-15 relative error = 8.617470536495908e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2827 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4520000000000003 y[1] (analytic) = 5.173410364342731 y[1] (numeric) = 5.17341036434273 absolute error = 8.881784197001252e-16 relative error = 1.716814165413623e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2817 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4530000000000003 y[1] (analytic) = 5.193601850116818 y[1] (numeric) = 5.193601850116817 absolute error = 8.881784197001252e-16 relative error = 1.710139601248309e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2807 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4540000000000003 y[1] (analytic) = 5.213935155270788 y[1] (numeric) = 5.213935155270785 absolute error = 3.552713678800501e-15 relative error = 6.813881594229357e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2797 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4550000000000003 y[1] (analytic) = 5.234411809246856 y[1] (numeric) = 5.234411809246855 absolute error = 8.881784197001252e-16 relative error = 1.696806541149691e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2787 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4560000000000003 y[1] (analytic) = 5.25503336350982 y[1] (numeric) = 5.25503336350982 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2777 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4570000000000003 y[1] (analytic) = 5.275801391945024 y[1] (numeric) = 5.275801391945019 absolute error = 5.329070518200751e-15 relative error = 1.010096878615836e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2767 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4580000000000003 y[1] (analytic) = 5.296717491264986 y[1] (numeric) = 5.296717491264981 absolute error = 5.329070518200751e-15 relative error = 1.006108127720446e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2757 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4590000000000003 y[1] (analytic) = 5.31778328142494 y[1] (numeric) = 5.317783281424935 absolute error = 4.440892098500626e-15 relative error = 8.351021212189481e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2747 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 5.339000406047449 y[1] (numeric) = 5.339000406047446 absolute error = 2.664535259100376e-15 relative error = 4.990700611452052e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2737 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4610000000000003 y[1] (analytic) = 5.360370532856382 y[1] (numeric) = 5.360370532856379 absolute error = 2.664535259100376e-15 relative error = 4.970804243415845e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2727 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4620000000000003 y[1] (analytic) = 5.381895354120464 y[1] (numeric) = 5.381895354120459 absolute error = 4.440892098500626e-15 relative error = 8.251539292938145e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2717 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4630000000000003 y[1] (analytic) = 5.403576587106652 y[1] (numeric) = 5.403576587106651 absolute error = 1.77635683940025e-15 relative error = 3.287372374139702e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2707 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4640000000000003 y[1] (analytic) = 5.425415974543637 y[1] (numeric) = 5.425415974543632 absolute error = 5.329070518200751e-15 relative error = 9.822418305260013e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2697 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4650000000000003 y[1] (analytic) = 5.447415285095618 y[1] (numeric) = 5.447415285095612 absolute error = 5.329070518200751e-15 relative error = 9.782750606111007e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2687 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4660000000000003 y[1] (analytic) = 5.469576313846776 y[1] (numeric) = 5.469576313846777 absolute error = 8.881784197001252e-16 relative error = 1.62385232189121e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2677 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4670000000000003 y[1] (analytic) = 5.491900882796619 y[1] (numeric) = 5.49190088279662 absolute error = 8.881784197001252e-16 relative error = 1.617251364609191e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2667 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4680000000000003 y[1] (analytic) = 5.514390841366471 y[1] (numeric) = 5.51439084136647 absolute error = 8.881784197001252e-16 relative error = 1.610655547005141e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2657 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4690000000000003 y[1] (analytic) = 5.537048066917497 y[1] (numeric) = 5.537048066917497 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2647 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 5.559874465280498 y[1] (numeric) = 5.5598744652805 absolute error = 1.77635683940025e-15 relative error = 3.194958538170218e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2637 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4710000000000003 y[1] (analytic) = 5.582871971297806 y[1] (numeric) = 5.582871971297802 absolute error = 3.552713678800501e-15 relative error = 6.363595112095379e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2627 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4720000000000003 y[1] (analytic) = 5.606042549377562 y[1] (numeric) = 5.606042549377563 absolute error = 8.881784197001252e-16 relative error = 1.58432336514952e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2617 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4730000000000003 y[1] (analytic) = 5.629388194060854 y[1] (numeric) = 5.629388194060851 absolute error = 3.552713678800501e-15 relative error = 6.311012060864275e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2607 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4740000000000003 y[1] (analytic) = 5.652910930601819 y[1] (numeric) = 5.65291093060182 absolute error = 8.881784197001252e-16 relative error = 1.571187713027646e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2597 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4750000000000003 y[1] (analytic) = 5.676612815561336 y[1] (numeric) = 5.676612815561336 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2587 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4760000000000003 y[1] (analytic) = 5.700495937414433 y[1] (numeric) = 5.70049593741443 absolute error = 3.552713678800501e-15 relative error = 6.232288765408542e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2577 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4770000000000003 y[1] (analytic) = 5.724562417171944 y[1] (numeric) = 5.724562417171943 absolute error = 8.881784197001252e-16 relative error = 1.551521941722324e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2567 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4780000000000003 y[1] (analytic) = 5.748814409016772 y[1] (numeric) = 5.748814409016767 absolute error = 5.329070518200751e-15 relative error = 9.269860077309732e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2557 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4790000000000003 y[1] (analytic) = 5.77325410095507 y[1] (numeric) = 5.773254100955064 absolute error = 5.329070518200751e-15 relative error = 9.230618339350702e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2547 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 5.797883715482894 y[1] (numeric) = 5.797883715482896 absolute error = 1.77635683940025e-15 relative error = 3.063802115686795e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2537 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4810000000000003 y[1] (analytic) = 5.822705510268674 y[1] (numeric) = 5.822705510268669 absolute error = 4.440892098500626e-15 relative error = 7.6268533427783e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2527 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4820000000000003 y[1] (analytic) = 5.847721778851868 y[1] (numeric) = 5.847721778851863 absolute error = 5.329070518200751e-15 relative error = 9.113071243357019e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2517 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4830000000000003 y[1] (analytic) = 5.872934851358475 y[1] (numeric) = 5.87293485135847 absolute error = 5.329070518200751e-15 relative error = 9.073947954604125e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2507 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4840000000000003 y[1] (analytic) = 5.898347095233628 y[1] (numeric) = 5.898347095233629 absolute error = 8.881784197001252e-16 relative error = 1.505809009472925e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2497 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4850000000000003 y[1] (analytic) = 5.923960915991937 y[1] (numeric) = 5.923960915991937 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2487 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4860000000000003 y[1] (analytic) = 5.94977875798593 y[1] (numeric) = 5.949778757985927 absolute error = 3.552713678800501e-15 relative error = 5.971169388495273e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2477 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4870000000000003 y[1] (analytic) = 5.97580310519325 y[1] (numeric) = 5.975803105193249 absolute error = 8.881784197001252e-16 relative error = 1.486291305227672e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2467 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4880000000000003 y[1] (analytic) = 6.002036482023061 y[1] (numeric) = 6.002036482023061 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2457 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4890000000000003 y[1] (analytic) = 6.028481454142207 y[1] (numeric) = 6.028481454142202 absolute error = 4.440892098500626e-15 relative error = 7.366518637042935e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2447 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 6.055140629321701 y[1] (numeric) = 6.055140629321698 absolute error = 3.552713678800501e-15 relative error = 5.86726865037068e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2437 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4910000000000003 y[1] (analytic) = 6.082016658304203 y[1] (numeric) = 6.082016658304198 absolute error = 4.440892098500626e-15 relative error = 7.301676973273602e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2427 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4920000000000003 y[1] (analytic) = 6.109112235692947 y[1] (numeric) = 6.109112235692949 absolute error = 1.77635683940025e-15 relative error = 2.90771681852848e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2417 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4930000000000003 y[1] (analytic) = 6.136430100862921 y[1] (numeric) = 6.13643010086292 absolute error = 8.881784197001252e-16 relative error = 1.44738619213674e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2407 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4940000000000003 y[1] (analytic) = 6.163973038894742 y[1] (numeric) = 6.163973038894738 absolute error = 4.440892098500626e-15 relative error = 7.204593645167727e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2397 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4950000000000003 y[1] (analytic) = 6.191743881532108 y[1] (numeric) = 6.191743881532102 absolute error = 5.329070518200751e-15 relative error = 8.606736034569484e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2387 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4960000000000003 y[1] (analytic) = 6.219745508163364 y[1] (numeric) = 6.219745508163361 absolute error = 3.552713678800501e-15 relative error = 5.711992032692645e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2377 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4970000000000003 y[1] (analytic) = 6.24798084682797 y[1] (numeric) = 6.247980846827969 absolute error = 8.881784197001252e-16 relative error = 1.421544722165792e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2367 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4980000000000003 y[1] (analytic) = 6.276452875248574 y[1] (numeric) = 6.276452875248567 absolute error = 7.105427357601002e-15 relative error = 1.132076906945565e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2357 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.4990000000000003 y[1] (analytic) = 6.305164621889452 y[1] (numeric) = 6.305164621889449 absolute error = 3.552713678800501e-15 relative error = 5.634608914835706e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2347 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 6.334119167042204 y[1] (numeric) = 6.334119167042198 absolute error = 6.217248937900877e-15 relative error = 9.815490952949814e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2337 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5010000000000003 y[1] (analytic) = 6.363319643939326 y[1] (numeric) = 6.363319643939318 absolute error = 7.105427357601002e-15 relative error = 1.116622730773628e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2327 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5020000000000003 y[1] (analytic) = 6.392769239896707 y[1] (numeric) = 6.392769239896703 absolute error = 4.440892098500626e-15 relative error = 6.94674237697399e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2317 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5030000000000003 y[1] (analytic) = 6.422471197485825 y[1] (numeric) = 6.422471197485818 absolute error = 7.105427357601002e-15 relative error = 1.106338532180967e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2307 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5040000000000003 y[1] (analytic) = 6.452428815736503 y[1] (numeric) = 6.4524288157365 absolute error = 2.664535259100376e-15 relative error = 4.129507407508279e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2297 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5050000000000003 y[1] (analytic) = 6.482645451371315 y[1] (numeric) = 6.482645451371315 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2287 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5060000000000003 y[1] (analytic) = 6.513124520072441 y[1] (numeric) = 6.513124520072438 absolute error = 2.664535259100376e-15 relative error = 4.091024593324895e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2277 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5070000000000003 y[1] (analytic) = 6.543869497782064 y[1] (numeric) = 6.543869497782063 absolute error = 8.881784197001252e-16 relative error = 1.357267928404071e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2267 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5080000000000003 y[1] (analytic) = 6.574883922037395 y[1] (numeric) = 6.574883922037386 absolute error = 8.881784197001252e-15 relative error = 1.350865551744829e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2257 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5090000000000003 y[1] (analytic) = 6.606171393341243 y[1] (numeric) = 6.606171393341235 absolute error = 7.993605777301127e-15 relative error = 1.210020948799234e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2247 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 6.637735576569455 y[1] (numeric) = 6.637735576569457 absolute error = 1.77635683940025e-15 relative error = 2.67614884460088e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2237 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5110000000000003 y[1] (analytic) = 6.669580202416226 y[1] (numeric) = 6.669580202416228 absolute error = 1.77635683940025e-15 relative error = 2.663371284982404e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2227 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5120000000000003 y[1] (analytic) = 6.701709068878485 y[1] (numeric) = 6.701709068878475 absolute error = 1.06581410364015e-14 relative error = 1.590361641614072e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2217 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5130000000000003 y[1] (analytic) = 6.734126042780662 y[1] (numeric) = 6.734126042780657 absolute error = 5.329070518200751e-15 relative error = 7.91352951273283e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2207 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5140000000000003 y[1] (analytic) = 6.766835061341187 y[1] (numeric) = 6.766835061341185 absolute error = 1.77635683940025e-15 relative error = 2.625092562915486e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2197 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5150000000000003 y[1] (analytic) = 6.799840133781812 y[1] (numeric) = 6.799840133781813 absolute error = 8.881784197001252e-16 relative error = 1.306175442695524e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2187 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5160000000000003 y[1] (analytic) = 6.833145342981405 y[1] (numeric) = 6.833145342981394 absolute error = 1.154631945610163e-14 relative error = 1.689751772653469e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2177 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5170000000000003 y[1] (analytic) = 6.866754847175415 y[1] (numeric) = 6.866754847175415 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2167 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5180000000000003 y[1] (analytic) = 6.900672881702815 y[1] (numeric) = 6.900672881702814 absolute error = 8.881784197001252e-16 relative error = 1.287089585212968e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2157 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5190000000000003 y[1] (analytic) = 6.934903760801621 y[1] (numeric) = 6.934903760801612 absolute error = 8.881784197001252e-15 relative error = 1.280736474989609e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2147 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 6.969451879454968 y[1] (numeric) = 6.969451879454956 absolute error = 1.154631945610163e-14 relative error = 1.656704093206909e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2137 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5210000000000004 y[1] (analytic) = 7.00432171528924 y[1] (numeric) = 7.004321715289239 absolute error = 8.881784197001252e-16 relative error = 1.268043439183245e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2127 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5220000000000004 y[1] (analytic) = 7.039517830526014 y[1] (numeric) = 7.039517830526019 absolute error = 4.440892098500626e-15 relative error = 6.308517437434759e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2117 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5230000000000004 y[1] (analytic) = 7.075044873989516 y[1] (numeric) = 7.075044873989516 absolute error = 8.881784197001252e-16 relative error = 1.255367895920205e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2107 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5240000000000004 y[1] (analytic) = 7.110907583171556 y[1] (numeric) = 7.110907583171554 absolute error = 2.664535259100376e-15 relative error = 3.747109954580451e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2097 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5250000000000004 y[1] (analytic) = 7.147110786355864 y[1] (numeric) = 7.147110786355864 absolute error = 8.881784197001252e-16 relative error = 1.242709741390459e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2087 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5260000000000004 y[1] (analytic) = 7.18365940480376 y[1] (numeric) = 7.183659404803755 absolute error = 4.440892098500626e-15 relative error = 6.18193576317242e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2077 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5270000000000004 y[1] (analytic) = 7.220558455003236 y[1] (numeric) = 7.220558455003228 absolute error = 7.105427357601002e-15 relative error = 9.840550979374099e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2067 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5280000000000004 y[1] (analytic) = 7.257813050983701 y[1] (numeric) = 7.257813050983696 absolute error = 5.329070518200751e-15 relative error = 7.342529327726988e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2057 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5290000000000004 y[1] (analytic) = 7.295428406698548 y[1] (numeric) = 7.295428406698548 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2047 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 7.333409838477889 y[1] (numeric) = 7.333409838477893 absolute error = 4.440892098500626e-15 relative error = 6.055698776304e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2037 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5310000000000004 y[1] (analytic) = 7.371762767553907 y[1] (numeric) = 7.371762767553908 absolute error = 8.881784197001252e-16 relative error = 1.204838581633901e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2027 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5320000000000004 y[1] (analytic) = 7.410492722661309 y[1] (numeric) = 7.410492722661301 absolute error = 7.993605777301127e-15 relative error = 1.078687487656071e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2017 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5330000000000004 y[1] (analytic) = 7.449605342715531 y[1] (numeric) = 7.449605342715524 absolute error = 6.217248937900877e-15 relative error = 8.34574269626284e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2007 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5340000000000004 y[1] (analytic) = 7.489106379571444 y[1] (numeric) = 7.489106379571447 absolute error = 2.664535259100376e-15 relative error = 3.557881440125639e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1997 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5350000000000004 y[1] (analytic) = 7.529001700865338 y[1] (numeric) = 7.529001700865329 absolute error = 8.881784197001252e-15 relative error = 1.179676210722656e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1987 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5360000000000004 y[1] (analytic) = 7.569297292943066 y[1] (numeric) = 7.569297292943057 absolute error = 8.881784197001252e-15 relative error = 1.173396136162049e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1977 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5370000000000004 y[1] (analytic) = 7.609999263877685 y[1] (numeric) = 7.609999263877684 absolute error = 8.881784197001252e-16 relative error = 1.167120243908608e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1967 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5380000000000004 y[1] (analytic) = 7.651113846579496 y[1] (numeric) = 7.651113846579496 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1957 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5390000000000004 y[1] (analytic) = 7.692647402001921 y[1] (numeric) = 7.692647402001915 absolute error = 5.329070518200751e-15 relative error = 6.927485740232841e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1947 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 7.734606422446721 y[1] (numeric) = 7.734606422446712 absolute error = 9.769962616701378e-15 relative error = 1.263149290744493e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1937 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5410000000000004 y[1] (analytic) = 7.776997534972121 y[1] (numeric) = 7.776997534972121 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1927 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5420000000000004 y[1] (analytic) = 7.819827504907642 y[1] (numeric) = 7.819827504907636 absolute error = 6.217248937900877e-15 relative error = 7.950621588518412e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1917 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5430000000000004 y[1] (analytic) = 7.863103239479399 y[1] (numeric) = 7.863103239479387 absolute error = 1.154631945610163e-14 relative error = 1.468417634163746e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1907 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5440000000000004 y[1] (analytic) = 7.9068317915502 y[1] (numeric) = 7.906831791550183 absolute error = 1.687538997430238e-14 relative error = 2.134279622887212e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1897 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5450000000000004 y[1] (analytic) = 7.95102036347848 y[1] (numeric) = 7.951020363478474 absolute error = 6.217248937900877e-15 relative error = 7.819435309785701e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1887 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5460000000000004 y[1] (analytic) = 7.995676311100669 y[1] (numeric) = 7.995676311100667 absolute error = 2.664535259100376e-15 relative error = 3.332470144396805e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1877 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5470000000000004 y[1] (analytic) = 8.040807147841434 y[1] (numeric) = 8.040807147841427 absolute error = 7.105427357601002e-15 relative error = 8.836709085242099e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1867 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5480000000000004 y[1] (analytic) = 8.08642054895679 y[1] (numeric) = 8.086420548956779 absolute error = 1.06581410364015e-14 relative error = 1.318029525161969e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1857 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5490000000000004 y[1] (analytic) = 8.13252435591505 y[1] (numeric) = 8.132524355915042 absolute error = 8.881784197001252e-15 relative error = 1.092131275394366e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1847 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 8.179126580920848 y[1] (numeric) = 8.179126580920856 absolute error = 8.881784197001252e-15 relative error = 1.085908636958801e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1837 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5510000000000004 y[1] (analytic) = 8.226235411587803 y[1] (numeric) = 8.226235411587792 absolute error = 1.06581410364015e-14 relative error = 1.295628012467042e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1827 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5520000000000004 y[1] (analytic) = 8.273859215765242 y[1] (numeric) = 8.273859215765233 absolute error = 8.881784197001252e-15 relative error = 1.07347538378193e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1817 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5530000000000004 y[1] (analytic) = 8.322006546525561 y[1] (numeric) = 8.322006546525554 absolute error = 7.105427357601002e-15 relative error = 8.538117962148827e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1807 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5540000000000004 y[1] (analytic) = 8.370686147317789 y[1] (numeric) = 8.370686147317796 absolute error = 7.105427357601002e-15 relative error = 8.488464664127668e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1797 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5550000000000004 y[1] (analytic) = 8.419906957294398 y[1] (numeric) = 8.419906957294396 absolute error = 1.77635683940025e-15 relative error = 2.109710770451381e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1787 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5560000000000004 y[1] (analytic) = 8.469678116817763 y[1] (numeric) = 8.469678116817757 absolute error = 5.329070518200751e-15 relative error = 6.291939840805893e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1777 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5570000000000004 y[1] (analytic) = 8.520008973153812 y[1] (numeric) = 8.520008973153811 absolute error = 1.77635683940025e-15 relative error = 2.084923672026022e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1767 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5580000000000004 y[1] (analytic) = 8.570909086359993 y[1] (numeric) = 8.57090908636 absolute error = 7.105427357601002e-15 relative error = 8.290167689339741e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1757 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5590000000000004 y[1] (analytic) = 8.622388235375485 y[1] (numeric) = 8.622388235375487 absolute error = 1.77635683940025e-15 relative error = 2.060168007875482e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1747 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 8.674456424321741 y[1] (numeric) = 8.674456424321725 absolute error = 1.598721155460225e-14 relative error = 1.843021714856594e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1737 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5610000000000004 y[1] (analytic) = 8.727123889021932 y[1] (numeric) = 8.727123889021936 absolute error = 3.552713678800501e-15 relative error = 4.070887183427691e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1727 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5620000000000004 y[1] (analytic) = 8.78040110374838 y[1] (numeric) = 8.780401103748389 absolute error = 8.881784197001252e-15 relative error = 1.011546521856455e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1717 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5630000000000004 y[1] (analytic) = 8.834298788206866 y[1] (numeric) = 8.834298788206864 absolute error = 1.77635683940025e-15 relative error = 2.010750238345521e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1707 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5640000000000004 y[1] (analytic) = 8.888827914768047 y[1] (numeric) = 8.888827914768045 absolute error = 1.77635683940025e-15 relative error = 1.99841515263107e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1697 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5650000000000004 y[1] (analytic) = 8.943999715956121 y[1] (numeric) = 8.943999715956112 absolute error = 8.881784197001252e-15 relative error = 9.930438818279616e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1687 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5660000000000004 y[1] (analytic) = 8.999825692205251 y[1] (numeric) = 8.999825692205254 absolute error = 3.552713678800501e-15 relative error = 3.94753609714631e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1677 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5670000000000004 y[1] (analytic) = 9.056317619895362 y[1] (numeric) = 9.056317619895365 absolute error = 3.552713678800501e-15 relative error = 3.922911969204487e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1667 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5680000000000004 y[1] (analytic) = 9.113487559678726 y[1] (numeric) = 9.11348755967871 absolute error = 1.598721155460225e-14 relative error = 1.754236394125922e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1657 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5690000000000004 y[1] (analytic) = 9.171347865109935 y[1] (numeric) = 9.171347865109926 absolute error = 8.881784197001252e-15 relative error = 9.684273596021525e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1647 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 9.229911191592331 y[1] (numeric) = 9.229911191592342 absolute error = 1.06581410364015e-14 relative error = 1.15473928352747e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1637 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5710000000000004 y[1] (analytic) = 9.289190505654195 y[1] (numeric) = 9.289190505654203 absolute error = 7.105427357601002e-15 relative error = 7.649135146142209e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1627 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5720000000000004 y[1] (analytic) = 9.349199094569112 y[1] (numeric) = 9.349199094569105 absolute error = 7.105427357601002e-15 relative error = 7.600038554883805e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1617 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5730000000000004 y[1] (analytic) = 9.409950576335621 y[1] (numeric) = 9.409950576335623 absolute error = 1.77635683940025e-15 relative error = 1.88774300671406e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1607 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5740000000000004 y[1] (analytic) = 9.47145891003186 y[1] (numeric) = 9.471458910031867 absolute error = 7.105427357601002e-15 relative error = 7.501935472765621e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1597 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5750000000000004 y[1] (analytic) = 9.533738406561524 y[1] (numeric) = 9.533738406561524 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1587 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5760000000000004 y[1] (analytic) = 9.596803739808754 y[1] (numeric) = 9.596803739808747 absolute error = 7.105427357601002e-15 relative error = 7.403951930502435e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1577 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5770000000000004 y[1] (analytic) = 9.660669958220156 y[1] (numeric) = 9.660669958220163 absolute error = 7.105427357601002e-15 relative error = 7.355004765021575e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1567 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5780000000000004 y[1] (analytic) = 9.725352496833189 y[1] (numeric) = 9.725352496833196 absolute error = 7.105427357601002e-15 relative error = 7.306087218858856e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1557 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5790000000000004 y[1] (analytic) = 9.790867189770896 y[1] (numeric) = 9.790867189770902 absolute error = 5.329070518200751e-15 relative error = 5.442899402995017e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1547 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 9.857230283224574 y[1] (numeric) = 9.857230283224574 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1537 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5810000000000004 y[1] (analytic) = 9.924458448946462 y[1] (numeric) = 9.924458448946455 absolute error = 7.105427357601002e-15 relative error = 7.159511417326034e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1527 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5820000000000004 y[1] (analytic) = 9.992568798276109 y[1] (numeric) = 9.992568798276118 absolute error = 8.881784197001252e-15 relative error = 8.888389338418679e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1517 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5830000000000004 y[1] (analytic) = 10.06157889672529 y[1] (numeric) = 10.06157889672529 absolute error = 5.329070518200751e-15 relative error = 5.296455529395278e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1507 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5840000000000004 y[1] (analytic) = 10.13150677914722 y[1] (numeric) = 10.13150677914722 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1497 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5850000000000004 y[1] (analytic) = 10.20237096551818 y[1] (numeric) = 10.20237096551818 absolute error = 3.552713678800501e-15 relative error = 3.482243187204141e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1487 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5860000000000004 y[1] (analytic) = 10.27419047735996 y[1] (numeric) = 10.27419047735996 absolute error = 3.552713678800501e-15 relative error = 3.457901317509349e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1477 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5870000000000004 y[1] (analytic) = 10.34698485483414 y[1] (numeric) = 10.34698485483413 absolute error = 7.105427357601002e-15 relative error = 6.867147731719475e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1467 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5880000000000004 y[1] (analytic) = 10.42077417454021 y[1] (numeric) = 10.42077417454019 absolute error = 1.77635683940025e-14 relative error = 1.704630394678548e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1457 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5890000000000004 y[1] (analytic) = 10.49557906805175 y[1] (numeric) = 10.49557906805175 absolute error = 5.329070518200751e-15 relative error = 5.077443067836337e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1447 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 10.57142074122664 y[1] (numeric) = 10.57142074122664 absolute error = 3.552713678800501e-15 relative error = 3.360677590804381e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1437 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5910000000000004 y[1] (analytic) = 10.64832099432895 y[1] (numeric) = 10.64832099432895 absolute error = 5.329070518200751e-15 relative error = 5.00461107534126e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1427 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5920000000000004 y[1] (analytic) = 10.7263022430031 y[1] (numeric) = 10.72630224300308 absolute error = 1.77635683940025e-14 relative error = 1.656075690538172e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1417 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5930000000000004 y[1] (analytic) = 10.80538754014222 y[1] (numeric) = 10.80538754014222 absolute error = 3.552713678800501e-15 relative error = 3.287909541052648e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1407 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5940000000000004 y[1] (analytic) = 10.88560059869602 y[1] (numeric) = 10.88560059869604 absolute error = 1.598721155460225e-14 relative error = 1.468656819589481e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1397 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5950000000000004 y[1] (analytic) = 10.966965815465 y[1] (numeric) = 10.96696581546501 absolute error = 1.06581410364015e-14 relative error = 9.718404539359452e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1387 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5960000000000004 y[1] (analytic) = 11.04950829593157 y[1] (numeric) = 11.04950829593155 absolute error = 1.77635683940025e-14 relative error = 1.607634287268968e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1377 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5970000000000004 y[1] (analytic) = 11.13325388018098 y[1] (numeric) = 11.13325388018098 absolute error = 7.105427357601002e-15 relative error = 6.382165927474117e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1367 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5980000000000004 y[1] (analytic) = 11.21822916996861 y[1] (numeric) = 11.21822916996862 absolute error = 1.598721155460225e-14 relative error = 1.425110087552882e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1357 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.5990000000000004 y[1] (analytic) = 11.30446155699254 y[1] (numeric) = 11.30446155699255 absolute error = 8.881784197001252e-15 relative error = 7.856883896878127e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1347 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 11.3919792524351 y[1] (numeric) = 11.3919792524351 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1337 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6010000000000004 y[1] (analytic) = 11.48081131784012 y[1] (numeric) = 11.48081131784012 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1327 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6020000000000004 y[1] (analytic) = 11.57098769739686 y[1] (numeric) = 11.57098769739688 absolute error = 1.953992523340276e-14 relative error = 1.688699853842095e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1317 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6030000000000004 y[1] (analytic) = 11.66253925170603 y[1] (numeric) = 11.66253925170604 absolute error = 5.329070518200751e-15 relative error = 4.569391281938192e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1307 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6040000000000004 y[1] (analytic) = 11.75549779310768 y[1] (numeric) = 11.75549779310767 absolute error = 5.329070518200751e-15 relative error = 4.533258065281778e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1297 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6050000000000004 y[1] (analytic) = 11.84989612265623 y[1] (numeric) = 11.84989612265623 absolute error = 1.77635683940025e-15 relative error = 1.499048448200294e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1287 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6060000000000004 y[1] (analytic) = 11.94576806883281 y[1] (numeric) = 11.9457680688328 absolute error = 7.105427357601002e-15 relative error = 5.948070744935578e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1277 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6070000000000004 y[1] (analytic) = 12.04314852809061 y[1] (numeric) = 12.04314852809062 absolute error = 8.881784197001252e-15 relative error = 7.374968577597887e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1267 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6080000000000004 y[1] (analytic) = 12.14207350733589 y[1] (numeric) = 12.14207350733589 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1257 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6090000000000004 y[1] (analytic) = 12.24258016845258 y[1] (numeric) = 12.24258016845258 absolute error = 1.77635683940025e-15 relative error = 1.450966066759092e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1247 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 12.34470687498693 y[1] (numeric) = 12.34470687498693 absolute error = 1.77635683940025e-15 relative error = 1.43896234830779e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1237 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6110000000000004 y[1] (analytic) = 12.44849324111471 y[1] (numeric) = 12.44849324111471 absolute error = 1.77635683940025e-15 relative error = 1.426965340297831e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1227 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6120000000000004 y[1] (analytic) = 12.55398018302271 y[1] (numeric) = 12.5539801830227 absolute error = 1.06581410364015e-14 relative error = 8.489850135987127e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1217 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6130000000000004 y[1] (analytic) = 12.66120997284428 y[1] (numeric) = 12.66120997284428 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1207 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6140000000000004 y[1] (analytic) = 12.77022629529859 y[1] (numeric) = 12.77022629529862 absolute error = 2.664535259100376e-14 relative error = 2.086521567813826e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1197 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6150000000000004 y[1] (analytic) = 12.88107430719274 y[1] (numeric) = 12.88107430719274 absolute error = 1.77635683940025e-15 relative error = 1.37904401219729e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1187 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6160000000000004 y[1] (analytic) = 12.9938006999569 y[1] (numeric) = 12.99380069995687 absolute error = 2.309263891220326e-14 relative error = 1.777204333469564e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1177 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6170000000000004 y[1] (analytic) = 13.10845376539498 y[1] (numeric) = 13.10845376539496 absolute error = 1.4210854715202e-14 relative error = 1.084098473362072e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1167 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6180000000000004 y[1] (analytic) = 13.22508346484481 y[1] (numeric) = 13.22508346484484 absolute error = 2.664535259100376e-14 relative error = 2.014758747030443e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1157 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6190000000000004 y[1] (analytic) = 13.34374150195621 y[1] (numeric) = 13.3437415019562 absolute error = 1.4210854715202e-14 relative error = 1.064982764625549e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1147 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 13.46448139930911 y[1] (numeric) = 13.4644813993091 absolute error = 1.06581410364015e-14 relative error = 7.915745672126962e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1137 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6210000000000004 y[1] (analytic) = 13.58735857911146 y[1] (numeric) = 13.58735857911144 absolute error = 1.953992523340276e-14 relative error = 1.438095941873683e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1127 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6220000000000004 y[1] (analytic) = 13.71243044823122 y[1] (numeric) = 13.71243044823121 absolute error = 8.881784197001252e-15 relative error = 6.47717720832409e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1117 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6230000000000004 y[1] (analytic) = 13.83975648783742 y[1] (numeric) = 13.83975648783741 absolute error = 8.881784197001252e-15 relative error = 6.417587047002376e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1107 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6240000000000004 y[1] (analytic) = 13.9693983479439 y[1] (numeric) = 13.9693983479439 absolute error = 1.77635683940025e-15 relative error = 1.271605830942393e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1097 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6250000000000004 y[1] (analytic) = 14.10141994717176 y[1] (numeric) = 14.10141994717177 absolute error = 1.06581410364015e-14 relative error = 7.558204121521211e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1087 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6260000000000004 y[1] (analytic) = 14.23588757806952 y[1] (numeric) = 14.23588757806954 absolute error = 1.953992523340276e-14 relative error = 1.372582153816959e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1077 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6270000000000004 y[1] (analytic) = 14.37287001835569 y[1] (numeric) = 14.37287001835567 absolute error = 1.77635683940025e-14 relative error = 1.235909624961231e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1067 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6280000000000004 y[1] (analytic) = 14.51243864847575 y[1] (numeric) = 14.51243864847572 absolute error = 3.375077994860476e-14 relative error = 2.325644970230391e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1057 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6290000000000004 y[1] (analytic) = 14.65466757589623 y[1] (numeric) = 14.65466757589621 absolute error = 1.598721155460225e-14 relative error = 1.090929662635117e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1047 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 14.79963376659007 y[1] (numeric) = 14.79963376659007 absolute error = 3.552713678800501e-15 relative error = 2.400541618009963e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1037 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6310000000000004 y[1] (analytic) = 14.94741718420365 y[1] (numeric) = 14.94741718420366 absolute error = 1.06581410364015e-14 relative error = 7.130423206268014e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1027 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6320000000000005 y[1] (analytic) = 15.09810093743432 y[1] (numeric) = 15.09810093743431 absolute error = 8.881784197001252e-15 relative error = 5.882716133510344e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1017 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6330000000000005 y[1] (analytic) = 15.25177143618887 y[1] (numeric) = 15.25177143618887 absolute error = 8.881784197001252e-15 relative error = 5.82344433508023e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1007 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6340000000000005 y[1] (analytic) = 15.40851855714006 y[1] (numeric) = 15.40851855714004 absolute error = 1.4210854715202e-14 relative error = 9.222726157938736e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.0997 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6359840409477102 y[1] (analytic) = 15.72899011879992 y[1] (numeric) = 15.72899011879992 absolute error = 3.552713678800501e-15 relative error = 2.258704247359247e-14 % Correct digits = 15 h = 0.0009870354463480851 Real estimate of pole used for equation 1 Radius of convergence = 0.09772 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6369612060395948 y[1] (analytic) = 15.89164882715218 y[1] (numeric) = 15.89164882715221 absolute error = 2.131628207280301e-14 relative error = 1.34135119046819e-13 % Correct digits = 14 h = 0.0009771650918846057 Real estimate of pole used for equation 1 Radius of convergence = 0.09674 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6379285994805606 y[1] (analytic) = 16.05594467944233 y[1] (numeric) = 16.05594467944231 absolute error = 2.131628207280301e-14 relative error = 1.327625530504966e-13 % Correct digits = 14 h = 0.000967393440965747 Real estimate of pole used for equation 1 Radius of convergence = 0.09577 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6388863189871167 y[1] (analytic) = 16.22189427602135 y[1] (numeric) = 16.22189427602135 absolute error = 3.552713678800501e-15 relative error = 2.190073254300517e-14 % Correct digits = 15 h = 0.0009577195065561003 Real estimate of pole used for equation 1 Radius of convergence = 0.09481 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6398344612986072 y[1] (analytic) = 16.38951438417942 y[1] (numeric) = 16.38951438417939 absolute error = 3.197442310920451e-14 relative error = 1.950907291070746e-13 % Correct digits = 14 h = 0.0009481423114905269 Real estimate of pole used for equation 1 Radius of convergence = 0.09387 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6407731221869829 y[1] (analytic) = 16.55882193984165 y[1] (numeric) = 16.5588219398416 absolute error = 4.973799150320701e-14 relative error = 3.003715583385436e-13 % Correct digits = 14 h = 0.0009386608883756337 Real estimate of pole used for equation 1 Radius of convergence = 0.09293 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6417023964664748 y[1] (analytic) = 16.72983404928129 y[1] (numeric) = 16.72983404928126 absolute error = 2.486899575160351e-14 relative error = 1.486505824166969e-13 % Correct digits = 14 h = 0.0009292742794918586 Real estimate of pole used for equation 1 Radius of convergence = 0.092 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6426223780031717 y[1] (analytic) = 16.90256799085008 y[1] (numeric) = 16.90256799085006 absolute error = 2.131628207280301e-14 relative error = 1.261126834948525e-13 % Correct digits = 14 h = 0.0009199815366969285 Real estimate of pole used for equation 1 Radius of convergence = 0.09108 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6435331597245016 y[1] (analytic) = 17.07704121672565 y[1] (numeric) = 17.07704121672559 absolute error = 6.039613253960852e-14 relative error = 3.536685996895947e-13 % Correct digits = 14 h = 0.0009107817213299807 Real estimate of pole used for equation 1 Radius of convergence = 0.09017 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6444348336286183 y[1] (analytic) = 17.25327135467642 y[1] (numeric) = 17.25327135467644 absolute error = 1.77635683940025e-14 relative error = 1.029576828001825e-13 % Correct digits = 14 h = 0.0009016739041166835 Real estimate of pole used for equation 1 Radius of convergence = 0.08927 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6453274907936939 y[1] (analytic) = 17.43127620984495 y[1] (numeric) = 17.43127620984493 absolute error = 1.77635683940025e-14 relative error = 1.019062986562618e-13 % Correct digits = 14 h = 0.0008926571650755335 Real estimate of pole used for equation 1 Radius of convergence = 0.08837 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6462112213871186 y[1] (analytic) = 17.61107376654765 y[1] (numeric) = 17.61107376654768 absolute error = 3.197442310920451e-14 relative error = 1.815586234721254e-13 % Correct digits = 14 h = 0.0008837305934247674 Real estimate of pole used for equation 1 Radius of convergence = 0.08749 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6470861146746091 y[1] (analytic) = 17.79268219009435 y[1] (numeric) = 17.79268219009431 absolute error = 4.263256414560601e-14 relative error = 2.396072929877918e-13 % Correct digits = 14 h = 0.0008748932874905101 Real estimate of pole used for equation 1 Radius of convergence = 0.08661 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6488097419402942 y[1] (analytic) = 18.1614052149622 y[1] (numeric) = 18.16140521496221 absolute error = 7.105427357601002e-15 relative error = 3.912377524480993e-14 % Correct digits = 15 h = 0.0008574829110694448 Real estimate of pole used for equation 1 Radius of convergence = 0.08489 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.649658650022253 y[1] (analytic) = 18.34855706849185 y[1] (numeric) = 18.34855706849181 absolute error = 3.907985046680551e-14 relative error = 2.12985960263401e-13 % Correct digits = 14 h = 0.0008489080819587611 Real estimate of pole used for equation 1 Radius of convergence = 0.08404 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6504990690233922 y[1] (analytic) = 18.53759429704861 y[1] (numeric) = 18.53759429704855 absolute error = 6.394884621840902e-14 relative error = 3.449684203553336e-13 % Correct digits = 14 h = 0.0008404190011391359 Real estimate of pole used for equation 1 Radius of convergence = 0.0832 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.65133108383452 y[1] (analytic) = 18.72853599883143 y[1] (numeric) = 18.7285359988314 absolute error = 3.197442310920451e-14 relative error = 1.707256942624856e-13 % Correct digits = 14 h = 0.000832014811127787 Real estimate of pole used for equation 1 Radius of convergence = 0.08237 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6521547784975364 y[1] (analytic) = 18.92140146433374 y[1] (numeric) = 18.92140146433368 absolute error = 6.039613253960852e-14 relative error = 3.191948157405432e-13 % Correct digits = 14 h = 0.0008236946630165025 Real estimate of pole used for equation 1 Radius of convergence = 0.08155 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6537775393531453 y[1] (analytic) = 19.31298182166286 y[1] (numeric) = 19.31298182166281 absolute error = 5.684341886080801e-14 relative error = 2.94327511855514e-13 % Correct digits = 14 h = 0.0008073031392224514 Real estimate of pole used for equation 1 Radius of convergence = 0.07992 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6545767694609755 y[1] (analytic) = 19.51173627359861 y[1] (numeric) = 19.51173627359863 absolute error = 2.131628207280301e-14 relative error = 1.092485147087916e-13 % Correct digits = 14 h = 0.0007992301078302447 Real estimate of pole used for equation 1 Radius of convergence = 0.07912 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6553680072677275 y[1] (analytic) = 19.71249361347111 y[1] (numeric) = 19.71249361347106 absolute error = 4.618527782440651e-14 relative error = 2.342944466084415e-13 % Correct digits = 14 h = 0.0007912378067519641 Real estimate of pole used for equation 1 Radius of convergence = 0.07833 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6561513326964119 y[1] (analytic) = 19.91527412289384 y[1] (numeric) = 19.91527412289384 absolute error = 3.552713678800501e-15 relative error = 1.783914023416046e-14 % Correct digits = 15 h = 0.0007833254286844193 Real estimate of pole used for equation 1 Radius of convergence = 0.07755 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.657694562123463 y[1] (analytic) = 20.32698680038477 y[1] (numeric) = 20.32698680038468 absolute error = 8.881784197001252e-14 relative error = 4.369454402771162e-13 % Correct digits = 14 h = 0.0007677372526536004 Real estimate of pole used for equation 1 Radius of convergence = 0.07601 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6584546220035901 y[1] (analytic) = 20.53596056145266 y[1] (numeric) = 20.53596056145261 absolute error = 4.618527782440651e-14 relative error = 2.248995253287509e-13 % Correct digits = 14 h = 0.0007600598801270657 Real estimate of pole used for equation 1 Radius of convergence = 0.07525 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6592070812849159 y[1] (analytic) = 20.7470406822749 y[1] (numeric) = 20.74704068227486 absolute error = 3.552713678800501e-14 relative error = 1.7123953884352e-13 % Correct digits = 14 h = 0.0007524592813257894 Real estimate of pole used for equation 1 Radius of convergence = 0.07449 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6606895013150559 y[1] (analytic) = 21.17560551403687 y[1] (numeric) = 21.17560551403685 absolute error = 2.131628207280301e-14 relative error = 1.006643331104411e-13 % Correct digits = 14 h = 0.0007374853416274058 Real estimate of pole used for equation 1 Radius of convergence = 0.07301 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.661419611803267 y[1] (analytic) = 21.39313351972547 y[1] (numeric) = 21.3931335197254 absolute error = 7.105427357601002e-14 relative error = 3.321358860799642e-13 % Correct digits = 14 h = 0.0007301104882111297 Real estimate of pole used for equation 1 Radius of convergence = 0.07228 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6621424211865961 y[1] (analytic) = 21.6128544790418 y[1] (numeric) = 21.61285447904174 absolute error = 6.039613253960852e-14 relative error = 2.794454226218718e-13 % Correct digits = 14 h = 0.0007228093833290341 Real estimate of pole used for equation 1 Radius of convergence = 0.07156 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6635664279526926 y[1] (analytic) = 22.05896426857641 y[1] (numeric) = 22.0589642685763 absolute error = 1.06581410364015e-13 relative error = 4.831659776331527e-13 % Correct digits = 14 h = 0.0007084254766007782 Real estimate of pole used for equation 1 Radius of convergence = 0.07013 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6642677691745273 y[1] (analytic) = 22.2853981653146 y[1] (numeric) = 22.28539816531456 absolute error = 3.907985046680551e-14 relative error = 1.753607908501725e-13 % Correct digits = 14 h = 0.0007013412218347608 Real estimate of pole used for equation 1 Radius of convergence = 0.06943 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6656494815156641 y[1] (analytic) = 22.7451383375172 y[1] (numeric) = 22.74513833751722 absolute error = 2.131628207280301e-14 relative error = 9.3717970655921e-14 % Correct digits = 15 h = 0.0006873845315202586 Real estimate of pole used for equation 1 Radius of convergence = 0.06805 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6663299922018691 y[1] (analytic) = 22.97849105599833 y[1] (numeric) = 22.97849105599832 absolute error = 7.105427357601002e-15 relative error = 3.092207987149876e-14 % Correct digits = 15 h = 0.0006805106862050602 Real estimate of pole used for equation 1 Radius of convergence = 0.06737 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.667003697781212 y[1] (analytic) = 23.21419688193428 y[1] (numeric) = 23.21419688193424 absolute error = 4.973799150320701e-14 relative error = 2.142567832786584e-13 % Correct digits = 14 h = 0.0006737055793430088 Real estimate of pole used for equation 1 Radius of convergence = 0.0667 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6683309651430757 y[1] (analytic) = 23.69276333963893 y[1] (numeric) = 23.69276333963886 absolute error = 7.815970093361102e-14 relative error = 3.298884972309108e-13 % Correct digits = 14 h = 0.0006602988383140915 Real estimate of pole used for equation 1 Radius of convergence = 0.06537 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6696318198844382 y[1] (analytic) = 24.18103109263566 y[1] (numeric) = 24.18103109263563 absolute error = 2.842170943040401e-14 relative error = 1.175372105578238e-13 % Correct digits = 14 h = 0.0006471588914316376 Real estimate of pole used for equation 1 Radius of convergence = 0.06407 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6702725071869555 y[1] (analytic) = 24.42886445620417 y[1] (numeric) = 24.42886445620415 absolute error = 2.131628207280301e-14 relative error = 8.725858752468265e-14 % Correct digits = 15 h = 0.0006406873025173037 Real estimate of pole used for equation 1 Radius of convergence = 0.06343 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6715347252416448 y[1] (analytic) = 24.93205533819173 y[1] (numeric) = 24.93205533819168 absolute error = 4.973799150320701e-14 relative error = 1.994941485109603e-13 % Correct digits = 14 h = 0.0006279376251972181 Real estimate of pole used for equation 1 Radius of convergence = 0.06217 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.67215638349059 y[1] (analytic) = 25.18746368777414 y[1] (numeric) = 25.18746368777417 absolute error = 2.842170943040401e-14 relative error = 1.128406963985014e-13 % Correct digits = 14 h = 0.0006216582489452574 Real estimate of pole used for equation 1 Radius of convergence = 0.06154 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6733811124068371 y[1] (analytic) = 25.70603521004189 y[1] (numeric) = 25.70603521004182 absolute error = 7.105427357601002e-14 relative error = 2.764108622563979e-13 % Correct digits = 14 h = 0.0006092872497912459 Real estimate of pole used for equation 1 Radius of convergence = 0.06032 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6745814692176507 y[1] (analytic) = 26.23512155223059 y[1] (numeric) = 26.23512155223069 absolute error = 9.237055564881302e-14 relative error = 3.520873934771588e-13 % Correct digits = 14 h = 0.0005971624335203957 Real estimate of pole used for equation 1 Radius of convergence = 0.05912 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6751726600268358 y[1] (analytic) = 26.50367442229758 y[1] (numeric) = 26.50367442229775 absolute error = 1.63424829224823e-13 relative error = 6.16611970932353e-13 % Correct digits = 14 h = 0.0005911908091851804 Real estimate of pole used for equation 1 Radius of convergence = 0.05853 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6763373650400115 y[1] (analytic) = 27.04893520414804 y[1] (numeric) = 27.04893520414812 absolute error = 7.460698725481052e-14 relative error = 2.758222706059397e-13 % Correct digits = 14 h = 0.0005794261120824114 Real estimate of pole used for equation 1 Radius of convergence = 0.05736 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6774788924234251 y[1] (analytic) = 27.60525343856713 y[1] (numeric) = 27.60525343856718 absolute error = 5.329070518200751e-14 relative error = 1.930455204861673e-13 % Correct digits = 14 h = 0.0005678955324519672 Real estimate of pole used for equation 1 Radius of convergence = 0.05622 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6780411090005525 y[1] (analytic) = 27.88762917132835 y[1] (numeric) = 27.88762917132853 absolute error = 1.84741111297626e-13 relative error = 6.624482495900402e-13 % Correct digits = 14 h = 0.0005622165771274437 Real estimate of pole used for equation 1 Radius of convergence = 0.05566 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6791487318791513 y[1] (analytic) = 28.46095649227295 y[1] (numeric) = 28.4609564922731 absolute error = 1.456612608308205e-13 relative error = 5.117932732526647e-13 % Correct digits = 14 h = 0.000551028467242613 Real estimate of pole used for equation 1 Radius of convergence = 0.05455 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.680234313062466 y[1] (analytic) = 29.04591182358231 y[1] (numeric) = 29.04591182358252 absolute error = 2.096101070492296e-13 relative error = 7.216509790511985e-13 % Correct digits = 14 h = 0.0005400630007444906 Real estimate of pole used for equation 1 Radius of convergence = 0.05347 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6812982911802327 y[1] (analytic) = 29.64273152784919 y[1] (numeric) = 29.64273152784921 absolute error = 2.842170943040401e-14 relative error = 9.588087185454541e-14 % Correct digits = 15 h = 0.0005293157470296631 Real estimate of pole used for equation 1 Radius of convergence = 0.0524 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6823410961334558 y[1] (analytic) = 30.25165676101305 y[1] (numeric) = 30.25165676101306 absolute error = 1.06581410364015e-14 relative error = 3.523159448951975e-14 % Correct digits = 15 h = 0.0005187823636637832 Real estimate of pole used for equation 1 Radius of convergence = 0.05136 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6833631492681098 y[1] (analytic) = 30.87293356982004 y[1] (numeric) = 30.87293356982017 absolute error = 1.314504061156185e-13 relative error = 4.257788001206287e-13 % Correct digits = 14 h = 0.0005084585946268648 Real estimate of pole used for equation 1 Radius of convergence = 0.05034 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6843648635453842 y[1] (analytic) = 31.50681299125674 y[1] (numeric) = 31.50681299125705 absolute error = 3.090860900556436e-13 relative error = 9.810135037822331e-13 % Correct digits = 14 h = 0.0004983402685937933 Real estimate of pole used for equation 1 Radius of convergence = 0.04934 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6853466437085408 y[1] (analytic) = 32.15355115400001 y[1] (numeric) = 32.15355115400015 absolute error = 1.4210854715202e-13 relative error = 4.419684359944835e-13 % Correct digits = 14 h = 0.0004884232972487859 Real estimate of pole used for equation 1 Radius of convergence = 0.04835 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6863088864464507 y[1] (analytic) = 32.81340938192197 y[1] (numeric) = 32.81340938192197 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.0004787036736335225 Real estimate of pole used for equation 1 Radius of convergence = 0.04739 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6872519805538762 y[1] (analytic) = 33.48665429969536 y[1] (numeric) = 33.48665429969557 absolute error = 2.060573933704291e-13 relative error = 6.153418359633008e-13 % Correct digits = 14 h = 0.0004691774705282259 Real estimate of pole used for equation 1 Radius of convergence = 0.04645 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6881763070885638 y[1] (analytic) = 34.17355794054 y[1] (numeric) = 34.17355794054001 absolute error = 7.105427357601002e-15 relative error = 2.07921790583352e-14 % Correct digits = 15 h = 0.0004598408388647027 Real estimate of pole used for equation 1 Radius of convergence = 0.04552 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6890822395252111 y[1] (analytic) = 34.87439785615055 y[1] (numeric) = 34.87439785615063 absolute error = 7.815970093361102e-14 relative error = 2.241177073680329e-13 % Correct digits = 14 h = 0.0004506900061712928 Real estimate of pole used for equation 1 Radius of convergence = 0.04462 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6904074479686672 y[1] (analytic) = 35.95240927384246 y[1] (numeric) = 35.95240927384275 absolute error = 2.913225216616411e-13 relative error = 8.103004153148526e-13 % Correct digits = 14 h = 0.0004373040622980078 Real estimate of pole used for equation 1 Radius of convergence = 0.04329 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6912689807018005 y[1] (analytic) = 36.6893413982658 y[1] (numeric) = 36.68934139826568 absolute error = 1.27897692436818e-13 relative error = 3.485963158849817e-13 % Correct digits = 14 h = 0.0004286017114582756 Real estimate of pole used for equation 1 Radius of convergence = 0.04243 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6921133689335445 y[1] (analytic) = 37.44122632633674 y[1] (numeric) = 37.44122632633684 absolute error = 9.947598300641403e-14 relative error = 2.656856966686507e-13 % Correct digits = 14 h = 0.0004200725374002551 Real estimate of pole used for equation 1 Radius of convergence = 0.04159 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6933485498024436 y[1] (analytic) = 38.5977564831631 y[1] (numeric) = 38.59775648316332 absolute error = 2.202682480856311e-13 relative error = 5.706762987162615e-13 % Correct digits = 14 h = 0.0004075959629669264 Real estimate of pole used for equation 1 Radius of convergence = 0.04035 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6941515546090847 y[1] (analytic) = 39.38836609020834 y[1] (numeric) = 39.38836609020862 absolute error = 2.771116669464391e-13 relative error = 7.035368421015234e-13 % Correct digits = 14 h = 0.0003994848033038904 Real estimate of pole used for equation 1 Radius of convergence = 0.03955 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6953261993252347 y[1] (analytic) = 40.60446341312566 y[1] (numeric) = 40.60446341312588 absolute error = 2.202682480856311e-13 relative error = 5.424729932877968e-13 % Correct digits = 14 h = 0.00038761970516096 Real estimate of pole used for equation 1 Radius of convergence = 0.03837 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6960898489063723 y[1] (analytic) = 41.43579462805106 y[1] (numeric) = 41.43579462805137 absolute error = 3.126388037344441e-13 relative error = 7.545138365050081e-13 % Correct digits = 14 h = 0.0003799060730282602 Real estimate of pole used for equation 1 Radius of convergence = 0.03761 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6972069243435984 y[1] (analytic) = 42.71453074249238 y[1] (numeric) = 42.71453074249247 absolute error = 9.237055564881302e-14 relative error = 2.162508964588083e-13 % Correct digits = 14 h = 0.0003686224827532459 Real estimate of pole used for equation 1 Radius of convergence = 0.03649 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6982908215232635 y[1] (analytic) = 44.03238999097067 y[1] (numeric) = 44.03238999097102 absolute error = 3.481659405224491e-13 relative error = 7.907041625354526e-13 % Correct digits = 14 h = 0.0003576740263929922 Real estimate of pole used for equation 1 Radius of convergence = 0.03541 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.6993425258727954 y[1] (analytic) = 45.39057052390033 y[1] (numeric) = 45.39057052390056 absolute error = 2.273736754432321e-13 relative error = 5.009271150789102e-13 % Correct digits = 14 h = 0.000347050750135097 Real estimate of pole used for equation 1 Radius of convergence = 0.03436 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7000262505556365 y[1] (analytic) = 46.31903316546995 y[1] (numeric) = 46.31903316547042 absolute error = 4.689582056016661e-13 relative error = 1.012452492102677e-12 % Correct digits = 13 h = 0.0003401444402074123 Real estimate of pole used for equation 1 Radius of convergence = 0.03367 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.701026410927478 y[1] (analytic) = 47.74717846562416 y[1] (numeric) = 47.74717846562439 absolute error = 2.344791028008331e-13 relative error = 4.910847307336654e-13 % Correct digits = 14 h = 0.0003300418101888083 Real estimate of pole used for equation 1 Radius of convergence = 0.03267 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7023139023821159 y[1] (analytic) = 49.71957796227378 y[1] (numeric) = 49.7195779622743 absolute error = 5.186961971048731e-13 relative error = 1.043243362802575e-12 % Correct digits = 13 h = 0.000317036846000543 Real estimate of pole used for equation 1 Radius of convergence = 0.03139 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.703246117207059 y[1] (analytic) = 51.25177532893654 y[1] (numeric) = 51.25177532893728 absolute error = 7.460698725481052e-13 relative error = 1.455695666656989e-12 % Correct digits = 13 h = 0.0003076205346374876 Real estimate of pole used for equation 1 Radius of convergence = 0.03045 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7041506443194865 y[1] (analytic) = 52.83085756564596 y[1] (numeric) = 52.83085756564657 absolute error = 6.110667527536862e-13 relative error = 1.156647423325268e-12 % Correct digits = 13 h = 0.0002984838971382146 Real estimate of pole used for equation 1 Radius of convergence = 0.02955 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7050283060721478 y[1] (analytic) = 54.4582603092914 y[1] (numeric) = 54.45826030929209 absolute error = 6.821210263296962e-13 relative error = 1.25255750451014e-12 % Correct digits = 13 h = 0.0002896186269093208 Real estimate of pole used for equation 1 Radius of convergence = 0.02867 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7061581068905241 y[1] (analytic) = 56.70585963805058 y[1] (numeric) = 56.70585963805097 absolute error = 3.907985046680551e-13 relative error = 6.89167763547707e-13 % Correct digits = 14 h = 0.0002782064974307587 Real estimate of pole used for equation 1 Radius of convergence = 0.02754 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7072433890487511 y[1] (analytic) = 59.0456306130427 y[1] (numeric) = 59.04563061304354 absolute error = 8.455458555545192e-13 relative error = 1.432021043344984e-12 % Correct digits = 13 h = 0.000267244051388066 Real estimate of pole used for equation 1 Radius of convergence = 0.02646 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7080291931902085 y[1] (analytic) = 60.86321579194744 y[1] (numeric) = 60.86321579194804 absolute error = 6.039613253960852e-13 relative error = 9.923256889032025e-13 % Correct digits = 14 h = 0.0002593066358177946 Real estimate of pole used for equation 1 Radius of convergence = 0.02567 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7090407470825936 y[1] (analytic) = 63.3734805183719 y[1] (numeric) = 63.37348051837315 absolute error = 1.250555214937776e-12 relative error = 1.973309978730365e-12 % Correct digits = 13 h = 0.0002490889197330881 Real estimate of pole used for equation 1 Radius of convergence = 0.02466 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7100124417155187 y[1] (analytic) = 65.98669425798747 y[1] (numeric) = 65.98669425798818 absolute error = 7.105427357601002e-13 relative error = 1.076796987256399e-12 % Correct digits = 13 h = 0.0002392738224308202 Real estimate of pole used for equation 1 Radius of convergence = 0.02369 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7111733947271782 y[1] (analytic) = 69.40443476266034 y[1] (numeric) = 69.40443476266151 absolute error = 1.165290086646564e-12 relative error = 1.678985054242516e-12 % Correct digits = 13 h = 0.00022754702433325 Real estimate of pole used for equation 1 Radius of convergence = 0.02253 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7120610545336425 y[1] (analytic) = 72.26499208666576 y[1] (numeric) = 72.26499208666648 absolute error = 7.247535904753022e-13 relative error = 1.002911049386294e-12 % Correct digits = 13 h = 0.0002185807636618959 Real estimate of pole used for equation 1 Radius of convergence = 0.02164 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7131216051333116 y[1] (analytic) = 76.00623118148582 y[1] (numeric) = 76.00623118148683 absolute error = 1.008970684779342e-12 relative error = 1.327484166883827e-12 % Correct digits = 13 h = 0.0002078681313420057 Real estimate of pole used for equation 1 Radius of convergence = 0.02058 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7141301782010124 y[1] (analytic) = 79.94024772762317 y[1] (numeric) = 79.94024772762306 absolute error = 1.13686837721616e-13 relative error = 1.422147678463246e-13 % Correct digits = 14 h = 0.0001976805245975464 Real estimate of pole used for equation 1 Radius of convergence = 0.01957 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7150893211529931 y[1] (analytic) = 84.07697813953817 y[1] (numeric) = 84.07697813953865 absolute error = 4.831690603168681e-13 relative error = 5.74674626762843e-13 % Correct digits = 14 h = 0.0001879922119512794 Real estimate of pole used for equation 1 Radius of convergence = 0.01861 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7160014565567583 y[1] (analytic) = 88.42687083666014 y[1] (numeric) = 88.42687083666 absolute error = 1.4210854715202e-13 relative error = 1.607074250252724e-13 % Correct digits = 14 h = 0.0001787787230243635 Real estimate of pole used for equation 1 Radius of convergence = 0.0177 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7170372048687633 y[1] (analytic) = 93.94362525790866 y[1] (numeric) = 93.94362525790712 absolute error = 1.548983163957018e-12 relative error = 1.648843292671013e-12 % Correct digits = 13 h = 0.0001683166188626915 Real estimate of pole used for equation 1 Radius of convergence = 0.01666 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7180123413442915 y[1] (analytic) = 99.80325113315381 y[1] (numeric) = 99.80325113315243 absolute error = 1.378452907374594e-12 relative error = 1.38117034437637e-12 % Correct digits = 13 h = 0.0001584667554735184 Real estimate of pole used for equation 1 Radius of convergence = 0.01569 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7190781143505302 y[1] (analytic) = 107.1013407872308 y[1] (numeric) = 107.1013407872311 absolute error = 2.273736754432321e-13 relative error = 2.122976927944685e-13 % Correct digits = 14 h = 0.0001477013715721195 Real estimate of pole used for equation 1 Radius of convergence = 0.01462 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.72007148443838 y[1] (analytic) = 114.9313180851599 y[1] (numeric) = 114.9313180851591 absolute error = 8.100187187665142e-13 relative error = 7.047850248844443e-13 % Correct digits = 14 h = 0.0001376673302807103 Real estimate of pole used for equation 1 Radius of convergence = 0.01363 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7211244020735248 y[1] (analytic) = 124.5810167010888 y[1] (numeric) = 124.5810167010874 absolute error = 1.4210854715202e-12 relative error = 1.140691823803185e-12 % Correct digits = 13 h = 0.0001270317986125758 Real estimate of pole used for equation 1 Radius of convergence = 0.01258 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7220959762350242 y[1] (analytic) = 135.0385733596856 y[1] (numeric) = 135.0385733596828 absolute error = 2.785327524179593e-12 relative error = 2.062616225040129e-12 % Correct digits = 13 h = 0.0001172179181933881 Real estimate of pole used for equation 1 Radius of convergence = 0.0116 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7230995717277747 y[1] (analytic) = 147.8534047054349 y[1] (numeric) = 147.8534047054336 absolute error = 1.335820343228988e-12 relative error = 9.03476214085373e-13 % Correct digits = 14 h = 0.0001070805899837844 Real estimate of pole used for equation 1 Radius of convergence = 0.0106 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7240163735198991 y[1] (analytic) = 161.8813664701584 y[1] (numeric) = 161.8813664701552 absolute error = 3.154809746774845e-12 relative error = 1.948840571071168e-12 % Correct digits = 13 h = 9.78199658209159e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.009684 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.725029936350625 y[1] (analytic) = 180.8425072671721 y[1] (numeric) = 180.842507267173 absolute error = 8.810729923425242e-13 relative error = 4.872045879350973e-13 % Correct digits = 14 h = 8.758195742974898e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.008671 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7260150492481695 y[1] (analytic) = 204.0639384254144 y[1] (numeric) = 204.0639384254201 absolute error = 5.712763595511205e-12 relative error = 2.799496882982697e-12 % Correct digits = 13 h = 7.763132210101248e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.007686 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7270238034206874 y[1] (analytic) = 234.9435680392534 y[1] (numeric) = 234.9435680392486 absolute error = 4.860112312599085e-12 relative error = 2.068629651434883e-12 % Correct digits = 13 h = 6.744188601497467e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.006677 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7280155822596401 y[1] (analytic) = 275.9870985572127 y[1] (numeric) = 275.9870985572035 absolute error = 9.208633855450898e-12 relative error = 3.336617509873176e-12 % Correct digits = 13 h = 5.74239179447436e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.005685 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7290038080490678 y[1] (analytic) = 334.124200781296 y[1] (numeric) = 334.1242007812936 absolute error = 2.444267011014745e-12 relative error = 7.31544439253193e-13 % Correct digits = 14 h = 4.744183926365697e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.004697 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7300104225453246 y[1] (analytic) = 425.3560107643375 y[1] (numeric) = 425.3560107643163 absolute error = 2.120259523508139e-11 relative error = 4.984670416901288e-12 % Correct digits = 13 h = 3.727401606914609e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.00369 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7310252801956315 y[1] (analytic) = 586.8352783317952 y[1] (numeric) = 586.8352783318328 absolute error = 3.763034328585491e-11 relative error = 6.412420090494083e-12 % Correct digits = 13 h = 2.70229286923059e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.002675 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7320156019077712 y[1] (analytic) = 931.9332064492531 y[1] (numeric) = 931.9332064490802 absolute error = 1.72917680174578e-10 relative error = 1.855472892026344e-11 % Correct digits = 12 h = 1.701967907473408e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.001685 Order of pole = 651 TOP MAIN SOLVE Loop x[1] = 0.7330047513193745 y[1] (analytic) = 2257.225329008165 y[1] (numeric) = 2257.225329009016 absolute error = 8.508322935085744e-10 relative error = 3.769372435149989e-11 % Correct digits = 12 h = 7.028270876722133e-06 Real estimate of pole used for equation 1 Radius of convergence = 0.0006958 Order of pole = 651 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; Iterations = 443454 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 3 Minutes 0 Seconds Expected Time Remaining = 1 Minutes 15 Seconds Optimized Time Remaining = 1 Minutes 15 Seconds Expected Total Time = 4 Minutes 15 Seconds Time to Timeout = 0 Seconds Percent Done = 70.41 %