% Submitted October 26, 1993.
%
% Latex file containing Tables 3, 4, and 5 from
% ``Post-AGB Evolution of Low to Intermediate Mass Stars''
% by E. Vassiliadis and P. R. Wood.
% To appear in ApJS 1994, in press.
% 
% Send billing information to E. Vassiliadis, STScI.
%
% Emanuel Vassiliadis
% Space Telescope Science Institute
% 3700 San Martin Drive
% Baltimore MD 21218
% USA
%
% Peter R. Wood
% Mount Stromlo & Siding Spring Observatories
% Private Bag
% Weston Creek Post Office
% Weston Creek ACT 2611
% Australia
%
% Each table is split into multiple Latex table environments, where each
% table environment fits onto a US-letter sized sheet of paper.  There are
% two planetary nebula nucleus tracks per sheet of paper.  Tracks are 
% distinguished by their initial, main-sequence mass, M, and their
% metallicity, Z.  Time is taken to be zero at log Teff = 4.
% Track parameters with respect to the progenitor AGB models, can be found
% in Tables 1 and 2 of the paper version of this manuscript in ApJS, 1994.
%
% 
\documentstyle[12pt]{article}
\textheight=228mm
\oddsidemargin=5mm
\evensidemargin=-5mm
\textwidth=165mm
\topmargin=-18mm

\begin{document}
%
% Table 3:  Hydrogen burning Planetary Nebula Nucleus evolutionary tracks.
%
\begin{table}[h]
\begin{center}
{\large TABLE~3}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(1.0,0.25,0.016)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(1.5,0.25,0.016)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   3.541 &        0.0 &  4.000 &   3.743 \\
    1137.0 &  4.093 &   3.544 &      196.7 &  4.098 &   3.743 \\
    2620.4 &  4.185 &   3.548 &      461.7 &  4.195 &   3.743 \\
    4426.8 &  4.278 &   3.552 &      844.4 &  4.293 &   3.742 \\
    6529.8 &  4.370 &   3.556 &     1349.1 &  4.391 &   3.741 \\
    8901.4 &  4.463 &   3.559 &     1980.7 &  4.489 &   3.740 \\
   11407.1 &  4.556 &   3.558 &     2763.2 &  4.586 &   3.736 \\
   14109.4 &  4.648 &   3.553 &     3703.9 &  4.684 &   3.730 \\
   16955.6 &  4.741 &   3.542 &     4740.4 &  4.782 &   3.720 \\
   19897.0 &  4.832 &   3.520 &     5879.9 &  4.878 &   3.699 \\
   22964.8 &  4.920 &   3.476 &     7123.5 &  4.973 &   3.664 \\
   26018.3 &  4.996 &   3.395 &     8424.7 &  5.060 &   3.595 \\
   28720.4 &  5.047 &   3.277 &     9624.5 &  5.123 &   3.481 \\
   30681.0 &  5.066 &   3.139 &    10493.9 &  5.151 &   3.339 \\
   32153.8 &  5.071 &   2.999 &    10979.4 &  5.153 &   3.190 \\
   33222.4 &  5.064 &   2.858 &    11241.0 &  5.145 &   3.042 \\
   34306.1 &  5.052 &   2.718 &    11425.8 &  5.130 &   2.895 \\
   36136.1 &  5.038 &   2.579 &    11610.6 &  5.115 &   2.748 \\
   42786.9 &  5.024 &   2.440 &    11830.3 &  5.094 &   2.603 \\
   64169.4 &  5.014 &   2.300 &    12141.3 &  5.071 &   2.458 \\
   85597.2 &  5.001 &   2.160 &    15404.6 &  5.050 &   2.313 \\
  109106.0 &  4.985 &   2.021 &    31528.5 &  5.032 &   2.167 \\
  135830.6 &  4.967 &   1.883 &    50975.8 &  5.013 &   2.021 \\
  172390.6 &  4.947 &   1.745 &    76499.7 &  4.992 &   1.876 \\
  225690.5 &  4.928 &   1.607 &   112372.9 &  4.971 &   1.730 \\
  303117.3 &  4.907 &   1.470 &   162522.5 &  4.948 &   1.586 \\
  406795.5 &  4.886 &   1.333 &   232037.4 &  4.925 &   1.441 \\
  526837.2 &  4.864 &   1.196 &   325845.1 &  4.900 &   1.297 \\
  682812.5 &  4.841 &   1.059 &   447258.1 &  4.876 &   1.153 \\
  870042.1 &  4.818 &   0.923 &   605885.2 &  4.851 &   1.010 \\
 1093980.4 &  4.793 &   0.787 &   797141.1 &  4.824 &   0.866 \\
 1346514.3 &  4.767 &   0.652 &  1029226.9 &  4.797 &   0.723 \\
 1693713.3 &  4.741 &   0.517 &  1318415.5 &  4.769 &   0.581 \\
 2040912.2 &  4.714 &   0.381 &  1686085.9 &  4.740 &   0.439 \\
 2503246.6 &  4.687 &   0.247 &  2053756.3 &  4.710 &   0.297 \\
 3067785.3 &  4.659 &   0.112 &  2598416.8 &  4.681 &   0.155 \\
 3632324.0 &  4.631 &  $-$0.022 &  3321404.5 &  4.650 &   0.014 \\
 4492096.0 &  4.602 &  $-$0.156 &  4044392.2 &  4.620 &  $-$0.127 \\
 5625840.4 &  4.573 &  $-$0.290 &  4976635.9 &  4.589 &  $-$0.269 \\
 7114025.5 &  4.544 &  $-$0.424 &  6260000.8 &  4.558 &  $-$0.410 \\
 8878766.6 &  4.514 &  $-$0.557 &  8123094.4 &  4.527 &  $-$0.550 \\
11212719.2 &  4.484 &  $-$0.691 & 10916214.3 &  4.495 &  $-$0.691 \\
14844281.0 &  4.454 &  $-$0.824 & 14418407.6 &  4.463 &  $-$0.832 \\
20330772.2 &  4.425 &  $-$0.957 & 20817510.5 &  4.431 &  $-$0.972 \\
28560245.3 &  4.394 &  $-$1.091 & 29644981.1 &  4.399 &  $-$1.113 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(2.0,0.25,0.016)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(2.5,0.25,0.016)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   3.892 &        0.0 &  4.000 &   3.979 \\
      54.6 &  4.103 &   3.891 &       27.7 &  4.106 &   3.979 \\
     135.1 &  4.207 &   3.891 &       72.4 &  4.212 &   3.979 \\
     257.7 &  4.310 &   3.890 &      136.3 &  4.318 &   3.978 \\
     420.0 &  4.414 &   3.889 &      229.3 &  4.424 &   3.977 \\
     648.3 &  4.517 &   3.887 &      353.6 &  4.531 &   3.976 \\
     953.3 &  4.621 &   3.884 &      526.4 &  4.637 &   3.974 \\
    1310.5 &  4.724 &   3.879 &      745.6 &  4.743 &   3.970 \\
    1740.8 &  4.828 &   3.869 &     1001.3 &  4.849 &   3.963 \\
    2225.3 &  4.931 &   3.853 &     1293.6 &  4.955 &   3.950 \\
    2760.7 &  5.032 &   3.823 &     1617.0 &  5.060 &   3.926 \\
    3322.1 &  5.128 &   3.764 &     1958.5 &  5.161 &   3.880 \\
    3867.0 &  5.202 &   3.655 &     2297.2 &  5.246 &   3.783 \\
    4245.0 &  5.235 &   3.505 &     2554.4 &  5.290 &   3.636 \\
    4447.6 &  5.238 &   3.348 &     2666.8 &  5.292 &   3.474 \\
    4506.7 &  5.224 &   3.192 &     2710.0 &  5.277 &   3.314 \\
    4565.7 &  5.209 &   3.036 &     2753.1 &  5.263 &   3.154 \\
    4614.6 &  5.188 &   2.882 &     2785.0 &  5.241 &   2.997 \\
    4663.4 &  5.166 &   2.728 &     2816.9 &  5.218 &   2.839 \\
    4728.0 &  5.140 &   2.575 &     2872.0 &  5.190 &   2.683 \\
    4862.3 &  5.112 &   2.424 &     2952.4 &  5.162 &   2.527 \\
    5352.8 &  5.085 &   2.272 &     3455.4 &  5.133 &   2.372 \\
   12140.5 &  5.059 &   2.119 &     7374.4 &  5.106 &   2.216 \\
   30014.6 &  5.035 &   1.966 &    16840.6 &  5.080 &   2.059 \\
   53718.3 &  5.011 &   1.813 &    31123.3 &  5.053 &   1.903 \\
   88417.7 &  4.986 &   1.660 &    52973.3 &  5.026 &   1.747 \\
  139008.1 &  4.960 &   1.508 &    86565.1 &  4.998 &   1.591 \\
  216046.9 &  4.933 &   1.356 &   136670.7 &  4.970 &   1.435 \\
  311326.8 &  4.906 &   1.203 &   210993.7 &  4.941 &   1.280 \\
  455666.9 &  4.878 &   1.052 &   316250.7 &  4.911 &   1.125 \\
  631024.0 &  4.849 &   0.901 &   441389.9 &  4.880 &   0.970 \\
  853479.8 &  4.819 &   0.750 &   600350.0 &  4.850 &   0.816 \\
 1075935.5 &  4.789 &   0.599 &   804613.7 &  4.818 &   0.661 \\
 1403225.7 &  4.758 &   0.449 &  1066752.3 &  4.786 &   0.508 \\
 1831408.3 &  4.726 &   0.299 &  1408844.9 &  4.753 &   0.354 \\
 2259590.8 &  4.694 &   0.149 &  1750937.5 &  4.719 &   0.201 \\
 2907667.3 &  4.662 &   0.000 &  2277908.1 &  4.686 &   0.048 \\
 3794554.8 &  4.629 &  $-$0.150 &  3004074.7 &  4.652 &  $-$0.105 \\
 4681442.3 &  4.596 &  $-$0.299 &  3730241.2 &  4.618 &  $-$0.258 \\
 6182142.4 &  4.563 &  $-$0.448 &  4972807.2 &  4.583 &  $-$0.411 \\
 8026525.0 &  4.528 &  $-$0.597 &  6708427.3 &  4.548 &  $-$0.563 \\
11477834.3 &  4.494 &  $-$0.745 &  9173037.9 &  4.513 &  $-$0.716 \\
16298104.8 &  4.460 &  $-$0.894 & 13101555.2 &  4.478 &  $-$0.868 \\
23621410.4 &  4.426 &  $-$1.043 & 19576784.1 &  4.442 &  $-$1.020 \\
35709206.0 &  4.391 &  $-$1.191 & 30825111.3 &  4.407 &  $-$1.172 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(3.5,0.25,0.016)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(5.0,0.25,0.016)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   4.138 &        0.0 &  4.000 &   4.360 \\ 
      11.7 &  4.111 &   4.138 &        3.3 &  4.121 &   4.360 \\
      28.6 &  4.223 &   4.138 &        5.7 &  4.242 &   4.360 \\
      51.8 &  4.334 &   4.138 &        7.6 &  4.363 &   4.360 \\
      87.1 &  4.445 &   4.138 &       10.2 &  4.484 &   4.360 \\
     131.2 &  4.557 &   4.137 &       14.1 &  4.604 &   4.359 \\
     199.4 &  4.668 &   4.136 &       20.3 &  4.725 &   4.359 \\
     287.1 &  4.779 &   4.134 &       28.8 &  4.846 &   4.357 \\
     390.5 &  4.891 &   4.130 &       40.3 &  4.967 &   4.355 \\
     507.9 &  5.002 &   4.123 &       54.5 &  5.088 &   4.351 \\
     633.3 &  5.113 &   4.107 &       71.1 &  5.209 &   4.343 \\
     769.1 &  5.222 &   4.078 &       89.5 &  5.329 &   4.328 \\
     905.4 &  5.324 &   4.011 &      109.4 &  5.448 &   4.294 \\
    1017.3 &  5.385 &   3.868 &      129.8 &  5.551 &   4.199 \\
    1067.2 &  5.390 &   3.699 &      141.7 &  5.581 &   4.020 \\
    1095.4 &  5.379 &   3.531 &      145.5 &  5.567 &   3.838 \\
    1123.7 &  5.367 &   3.362 &      147.5 &  5.542 &   3.658 \\
    1144.7 &  5.342 &   3.197 &      149.4 &  5.510 &   3.480 \\
    1176.6 &  5.315 &   3.033 &      151.7 &  5.476 &   3.304 \\
    1350.5 &  5.285 &   2.869 &      155.5 &  5.440 &   3.128 \\
    2167.6 &  5.258 &   2.705 &      167.1 &  5.403 &   2.953 \\
    3675.3 &  5.230 &   2.541 &      219.5 &  5.366 &   2.778 \\
    5916.2 &  5.200 &   2.378 &      603.0 &  5.330 &   2.602 \\
    9861.7 &  5.170 &   2.215 &     1580.1 &  5.294 &   2.427 \\
   15707.3 &  5.139 &   2.052 &     3512.1 &  5.257 &   2.252 \\
   25191.2 &  5.108 &   1.890 &     6870.5 &  5.220 &   2.076 \\
   40498.1 &  5.076 &   1.727 &    12915.8 &  5.182 &   1.902 \\
   65429.8 &  5.044 &   1.565 &    23535.6 &  5.145 &   1.727 \\
  103948.2 &  5.011 &   1.403 &    40411.7 &  5.107 &   1.552 \\
  158505.2 &  4.978 &   1.242 &    67786.6 &  5.069 &   1.377 \\
  232510.2 &  4.944 &   1.080 &   103747.8 &  5.030 &   1.203 \\
  331783.2 &  4.910 &   0.919 &   153402.3 &  4.991 &   1.029 \\
  470037.0 &  4.876 &   0.758 &   221025.9 &  4.952 &   0.855 \\
  641139.4 &  4.840 &   0.597 &   314620.9 &  4.912 &   0.681 \\
  812241.8 &  4.805 &   0.436 &   432909.6 &  4.872 &   0.508 \\
 1073081.8 &  4.769 &   0.276 &   591289.4 &  4.832 &   0.334 \\
 1427191.8 &  4.733 &   0.116 &   812814.0 &  4.791 &   0.161 \\
 1836416.4 &  4.696 &  $-$0.044 &  1121548.9 &  4.750 &  $-$0.012 \\
 2380532.7 &  4.659 &  $-$0.204 &  1537543.1 &  4.710 &  $-$0.185 \\
 3175457.9 &  4.622 &  $-$0.364 &  2091488.0 &  4.669 &  $-$0.359 \\
 4409527.1 &  4.585 &  $-$0.523 &  3048361.7 &  4.628 &  $-$0.531 \\
 7011900.6 &  4.547 &  $-$0.683 &  5469434.6 &  4.586 &  $-$0.704 \\
10265329.8 &  4.510 &  $-$0.842 & 11638798.4 &  4.545 &  $-$0.877 \\
16790830.7 &  4.473 &  $-$1.002 & 22917624.6 &  4.503 &  $-$1.050 \\
28473393.6 &  4.434 &  $-$1.161 & 40699832.6 &  4.461 &  $-$1.222 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(2.0,0.25,0.008)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(3.5,0.25,0.008)$} \\ [0.5mm] \hline \\ [-4mm]
      0.0 &  4.000 &   3.977 &       0.0 &  4.000 &   4.216   \\
     42.1 &  4.114 &   3.977 &       7.4 &  4.115 &   4.216   \\
    108.3 &  4.228 &   3.976 &      16.5 &  4.230 &   4.216   \\
    205.7 &  4.342 &   3.976 &      29.2 &  4.346 &   4.215   \\
    344.1 &  4.455 &   3.975 &      47.2 &  4.461 &   4.215   \\
    529.1 &  4.569 &   3.973 &      72.7 &  4.576 &   4.214   \\
    778.2 &  4.683 &   3.969 &     110.6 &  4.691 &   4.213   \\
   1082.0 &  4.797 &   3.964 &     160.1 &  4.806 &   4.211   \\
   1425.7 &  4.910 &   3.953 &     219.9 &  4.921 &   4.208   \\
   1811.7 &  5.024 &   3.932 &     288.7 &  5.036 &   4.201   \\
   2219.3 &  5.134 &   3.892 &     363.2 &  5.151 &   4.189   \\
   2634.6 &  5.233 &   3.805 &     440.6 &  5.265 &   4.164   \\
   2961.6 &  5.288 &   3.654 &     520.3 &  5.374 &   4.106   \\
   3127.0 &  5.298 &   3.481 &     591.1 &  5.449 &   3.972   \\
   3170.2 &  5.284 &   3.309 &     626.8 &  5.465 &   3.799   \\
   3213.5 &  5.270 &   3.137 &     637.1 &  5.449 &   3.625   \\
   3241.8 &  5.244 &   2.969 &     645.3 &  5.425 &   3.454   \\
   3276.0 &  5.216 &   2.801 &     653.5 &  5.400 &   3.282   \\
   3320.6 &  5.187 &   2.633 &     664.9 &  5.371 &   3.113   \\
   3427.9 &  5.156 &   2.466 &     685.7 &  5.339 &   2.944   \\
   3729.7 &  5.125 &   2.300 &     756.8 &  5.306 &   2.777   \\
   5848.1 &  5.089 &   2.135 &    1105.3 &  5.273 &   2.608   \\
  \ldots  & \ldots &  \ldots &    2338.3 &  5.242 &   2.440   \\
  \ldots  & \ldots &  \ldots &    4766.6 &  5.210 &   2.272   \\
  \ldots  & \ldots &  \ldots &    8936.3 &  5.176 &   2.104   \\
  \ldots  & \ldots &  \ldots &   15261.9 &  5.143 &   1.936   \\
  \ldots  & \ldots &  \ldots &   25234.6 &  5.108 &   1.769   \\
  \ldots  & \ldots &  \ldots &   44546.9 &  5.074 &   1.602   \\
  \ldots  & \ldots &  \ldots &   69891.5 &  5.038 &   1.435   \\
  \ldots  & \ldots &  \ldots &  113353.2 &  5.003 &   1.268   \\
  \ldots  & \ldots &  \ldots &  179104.0 &  4.968 &   1.101   \\
  \ldots  & \ldots &  \ldots &  263447.2 &  4.932 &   0.935   \\
  \ldots  & \ldots &  \ldots &  375219.8 &  4.895 &   0.768   \\
  \ldots  & \ldots &  \ldots &  523545.2 &  4.859 &   0.602   \\
  \ldots  & \ldots &  \ldots &  721871.2 &  4.821 &   0.437   \\
  \ldots  & \ldots &  \ldots &  920197.2 &  4.783 &   0.271   \\
  \ldots  & \ldots &  \ldots & 1244622.7 &  4.746 &   0.105   \\
  \ldots  & \ldots &  \ldots & 1704246.6 &  4.707 &  $-$0.060 \\
  \ldots  & \ldots &  \ldots & 2390467.8 &  4.669 &  $-$0.225 \\
  \ldots  & \ldots &  \ldots & 3461404.1 &  4.630 &  $-$0.390 \\
  \ldots  & \ldots &  \ldots & 4920564.0 &  4.591 &  $-$0.555 \\
  \ldots  & \ldots &  \ldots & 7234475.8 &  4.552 &  $-$0.720 \\
  \ldots  & \ldots &  \ldots & 12660443.6 &  4.513 &  $-$0.885 \\
  \ldots  & \ldots &  \ldots & 23154814.2 &  4.473 &  $-$1.049 \\
  \ldots  & \ldots &  \ldots & 35828109.2 &  4.434 &  $-$1.214 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(5.0,0.25,0.008)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(1.0,0.25,0.004)$} \\ [0.5mm] \hline \\ [-4mm]
      0.0 &  4.000 &   4.370   &        0.0 &  4.000 &   3.641 \\
      3.0 &  4.112 &   4.370   &      943.5 &  4.095 &   3.645 \\
      5.4 &  4.224 &   4.370   &     2147.9 &  4.191 &   3.649 \\
      7.6 &  4.336 &   4.370   &     3612.6 &  4.286 &   3.653 \\
     10.3 &  4.448 &   4.370   &     5307.7 &  4.381 &   3.657 \\
     13.6 &  4.560 &   4.370   &     7172.4 &  4.477 &   3.660 \\
     19.2 &  4.672 &   4.369   &     9190.7 &  4.572 &   3.660 \\
     26.3 &  4.784 &   4.369   &    11276.6 &  4.667 &   3.656 \\
     36.0 &  4.897 &   4.367   &    13515.8 &  4.763 &   3.649 \\
     47.3 &  5.009 &   4.365   &    15739.6 &  4.857 &   3.631 \\
     61.2 &  5.121 &   4.361   &    18025.9 &  4.950 &   3.599 \\
     75.7 &  5.233 &   4.353   &    20318.5 &  5.036 &   3.535 \\
     91.6 &  5.344 &   4.339   &    22367.8 &  5.099 &   3.427 \\
    108.3 &  5.455 &   4.310   &    23914.9 &  5.132 &   3.290 \\
    125.3 &  5.555 &   4.233   &    24859.2 &  5.138 &   3.145 \\
    137.5 &  5.600 &   4.077   &    25475.7 &  5.135 &   3.000 \\
    141.6 &  5.593 &   3.907   &    25780.3 &  5.122 &   2.857 \\
    143.5 &  5.573 &   3.739   &    26056.4 &  5.105 &   2.714 \\
    144.8 &  5.545 &   3.574   &    26377.7 &  5.086 &   2.571 \\
    146.0 &  5.514 &   3.410   &    26818.2 &  5.066 &   2.429 \\
    147.6 &  5.481 &   3.247   &    28862.6 &  5.045 &   2.288 \\
    151.1 &  5.447 &   3.085   &    45388.5 &  5.029 &   2.145 \\
    159.4 &  5.412 &   2.923   &    66622.2 &  5.011 &   2.002 \\
    181.9 &  5.377 &   2.761   &    92583.9 &  4.990 &   1.861 \\
    274.3 &  5.342 &   2.599   &   130017.3 &  4.969 &   1.719 \\
    664.2 &  5.307 &   2.437   &   175818.3 &  4.946 &   1.578 \\
   1736.8 &  5.273 &   2.274   &   247816.1 &  4.924 &   1.437 \\
   3680.0 &  5.238 &   2.112   &   343488.4 &  4.901 &   1.296 \\
   6802.2 &  5.203 &   1.950   &   466533.7 &  4.877 &   1.156 \\
  11935.0 &  5.167 &   1.789   &   637505.7 &  4.852 &   1.016 \\
  20075.9 &  5.131 &   1.627   &   838732.6 &  4.826 &   0.876 \\
  31952.6 &  5.096 &   1.465   &  1059747.3 &  4.799 &   0.737 \\
  50296.6 &  5.060 &   1.304   &  1322625.9 &  4.772 &   0.598 \\
  78524.1 &  5.023 &   1.143   &  1649042.9 &  4.743 &   0.459 \\
 116726.2 &  4.986 &   0.982   &  2067460.8 &  4.715 &   0.321 \\
 171263.2 &  4.950 &   0.821   &  2485878.8 &  4.686 &   0.182 \\
 238856.1 &  4.912 &   0.660   &  3112823.3 &  4.657 &   0.044 \\
 343327.1 &  4.875 &   0.499   &  3836771.6 &  4.627 &  $-$0.093 \\
 478183.3 &  4.837 &   0.338   &  4774958.3 &  4.597 &  $-$0.231 \\
 662662.7 &  4.800 &   0.178   &  6083001.2 &  4.566 &  $-$0.369 \\
 911372.5 &  4.762 &   0.017   &  7992644.0 &  4.536 &  $-$0.506 \\
1205689.9 &  4.724 &  $-$0.143 & 10353314.5 &  4.506 &  $-$0.644 \\
1674051.1 &  4.685 &  $-$0.303 & 13742416.8 &  4.474 &  $-$0.781 \\
2422995.8 &  4.647 &  $-$0.464 & 20349465.9 &  4.443 &  $-$0.918 \\
3959814.2 &  4.609 &  $-$0.624 & 29517532.8 &  4.411 &  $-$1.055 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(1.5,0.25,0.004)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(2.0,0.25,0.004)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   3.870  &        0.0 &  4.000 &   3.918 \\
     116.5 &  4.101 &   3.870  &      226.3 &  4.105 &   3.922 \\
     286.6 &  4.203 &   3.870  &      518.9 &  4.209 &   3.927 \\
     533.5 &  4.304 &   3.870  &      876.5 &  4.314 &   3.931 \\
     871.4 &  4.405 &   3.869  &     1266.3 &  4.419 &   3.935 \\
    1290.0 &  4.506 &   3.867  &     1697.7 &  4.523 &   3.938 \\
    1807.0 &  4.608 &   3.865  &     2193.6 &  4.628 &   3.940 \\
    2424.1 &  4.709 &   3.860  &     2705.2 &  4.733 &   3.939 \\
    3113.1 &  4.810 &   3.852  &     3243.6 &  4.838 &   3.936 \\
    3847.6 &  4.911 &   3.838  &     3788.7 &  4.942 &   3.927 \\
    4641.1 &  5.010 &   3.811  &     4330.2 &  5.046 &   3.906 \\
    5449.1 &  5.106 &   3.761  &     4858.6 &  5.147 &   3.863 \\
    6235.0 &  5.186 &   3.667  &     5366.7 &  5.234 &   3.775 \\
    6826.8 &  5.229 &   3.528  &     5754.3 &  5.282 &   3.633 \\
    7154.8 &  5.237 &   3.374  &     5980.0 &  5.292 &   3.474 \\
    7266.0 &  5.227 &   3.221  &     6093.9 &  5.285 &   3.315 \\
    7377.2 &  5.216 &   3.068  &     6148.2 &  5.267 &   3.158 \\
    7452.6 &  5.197 &   2.916  &     6207.6 &  5.245 &   3.003 \\
    7528.0 &  5.178 &   2.765  &     6289.8 &  5.222 &   2.847 \\
    7615.9 &  5.154 &   2.615  &     6529.9 &  5.196 &   2.693 \\
    7784.1 &  5.128 &   2.466  &     7752.0 &  5.172 &   2.538 \\
    8180.7 &  5.101 &   2.318  &    11049.6 &  5.147 &   2.383 \\
   11163.8 &  5.076 &   2.169  &    16107.9 &  5.123 &   2.228 \\
   23124.7 &  5.052 &   2.019  &    23641.9 &  5.096 &   2.074 \\
   42160.4 &  5.027 &   1.869  &    33164.5 &  5.069 &   1.920 \\
   73582.8 &  5.003 &   1.720  &    49812.7 &  5.042 &   1.766 \\
  114768.0 &  4.978 &   1.570  &    72527.1 &  5.013 &   1.613 \\
  180163.5 &  4.952 &   1.422  &   112148.9 &  4.983 &   1.460 \\
  261617.7 &  4.925 &   1.273  &   164338.4 &  4.954 &   1.307 \\
  370824.7 &  4.898 &   1.124  &   237237.9 &  4.924 &   1.154 \\
  514748.1 &  4.870 &   0.976  &   338898.2 &  4.893 &   1.002 \\
  697135.5 &  4.841 &   0.829  &   476836.1 &  4.862 &   0.849 \\
  927734.3 &  4.811 &   0.682  &   659443.6 &  4.831 &   0.698 \\
 1224424.0 &  4.781 &   0.535  &   899807.0 &  4.798 &   0.546 \\
 1521113.6 &  4.750 &   0.388  &  1140170.5 &  4.766 &   0.394 \\
 1954736.8 &  4.719 &   0.241  &  1505320.6 &  4.733 &   0.243 \\
 2451834.7 &  4.687 &   0.095  &  1999771.0 &  4.700 &   0.092 \\
 3086190.2 &  4.655 &  $-$0.051  &  2494221.4 &  4.666 &  $-$0.059 \\
 3955887.7 &  4.622 &  $-$0.197  &  3151065.2 &  4.632 &  $-$0.209 \\
 4825585.2 &  4.590 &  $-$0.343  &  4306931.1 &  4.597 &  $-$0.360 \\
 6394720.0 &  4.557 &  $-$0.489  &  5953696.0 &  4.563 &  $-$0.510 \\
 8786817.0 &  4.524 &  $-$0.634  &  8411310.6 &  4.528 &  $-$0.661 \\
12216611.3 &  4.490 &  $-$0.780  & 11561732.4 &  4.494 &  $-$0.811 \\
17551734.4 &  4.457 &  $-$0.925  & 17691030.6 &  4.459 &  $-$0.961 \\
26739238.4 &  4.423 &  $-$1.071  & 26551698.0 &  4.424 &  $-$1.112 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(2.5,0.25,0.004)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(3.5,0.25,0.004)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   4.152 &        0.0 &  4.000 &   4.296 \\
       8.5 &  4.109 &   4.151 &        4.4 &  4.116 &   4.296 \\
      20.0 &  4.217 &   4.150 &       10.4 &  4.231 &   4.295 \\
      36.8 &  4.326 &   4.148 &       17.1 &  4.347 &   4.295 \\
      62.0 &  4.435 &   4.145 &       26.0 &  4.462 &   4.295 \\
     100.8 &  4.543 &   4.141 &       38.7 &  4.578 &   4.295 \\
     165.7 &  4.652 &   4.134 &       57.5 &  4.693 &   4.294 \\
     271.2 &  4.760 &   4.125 &       82.1 &  4.809 &   4.292 \\
     429.3 &  4.868 &   4.110 &      111.9 &  4.924 &   4.289 \\
     665.4 &  4.976 &   4.091 &      146.4 &  5.040 &   4.285 \\
     998.7 &  5.084 &   4.066 &      184.5 &  5.155 &   4.277 \\
    1499.6 &  5.190 &   4.028 &      224.3 &  5.271 &   4.262 \\
    2315.6 &  5.289 &   3.961 &      265.3 &  5.384 &   4.228 \\
    3572.9 &  5.355 &   3.830 &      307.0 &  5.487 &   4.148 \\
    4701.9 &  5.376 &   3.668 &      335.4 &  5.532 &   3.986 \\
    5511.1 &  5.375 &   3.502 &      342.6 &  5.520 &   3.811 \\
    6138.0 &  5.362 &   3.338 &      349.7 &  5.507 &   3.637 \\
    6724.4 &  5.344 &   3.175 &      353.6 &  5.479 &   3.466 \\
    7392.1 &  5.321 &   3.014 &      357.5 &  5.451 &   3.296 \\
    8210.5 &  5.295 &   2.853 &      362.9 &  5.418 &   3.127 \\
    9394.1 &  5.268 &   2.693 &      372.1 &  5.384 &   2.959 \\
   11089.1 &  5.239 &   2.533 &      389.0 &  5.350 &   2.791 \\
   13376.9 &  5.210 &   2.374 &      423.4 &  5.315 &   2.623 \\
   17088.3 &  5.179 &   2.215 &      586.1 &  5.279 &   2.456 \\
   22405.3 &  5.148 &   2.057 &     1243.5 &  5.243 &   2.289 \\
   30664.3 &  5.116 &   1.899 &     3871.2 &  5.209 &   2.121 \\
   41352.8 &  5.084 &   1.741 &     8397.4 &  5.173 &   1.954 \\
   58888.5 &  5.050 &   1.584 &    16605.4 &  5.138 &   1.786 \\
   82592.4 &  5.017 &   1.427 &    32229.2 &  5.103 &   1.619 \\
  123810.6 &  4.983 &   1.270 &    57142.6 &  5.067 &   1.452 \\
  178499.8 &  4.950 &   1.112 &    90017.9 &  5.031 &   1.285 \\
  255611.1 &  4.916 &   0.955 &   145476.6 &  4.994 &   1.118 \\
  364813.5 &  4.881 &   0.799 &   215352.0 &  4.957 &   0.951 \\
  516259.3 &  4.846 &   0.642 &   306781.1 &  4.920 &   0.785 \\
  720776.5 &  4.811 &   0.485 &   428207.0 &  4.882 &   0.618 \\
  995410.5 &  4.775 &   0.329 &   592080.2 &  4.845 &   0.452 \\
 1368221.7 &  4.740 &   0.173 &   755953.4 &  4.807 &   0.286 \\
 1741032.9 &  4.704 &   0.017 &  1027694.6 &  4.768 &   0.120 \\
 2332956.4 &  4.668 &  $-$0.139 &  1422991.1 &  4.729 &  $-$0.045 \\
 3109869.7 &  4.632 &  $-$0.295 &  1939710.3 &  4.690 &  $-$0.211 \\
 4141244.5 &  4.595 &  $-$0.451 &  2726019.3 &  4.651 &  $-$0.376 \\
 5750572.7 &  4.559 &  $-$0.606 &  4051508.5 &  4.612 &  $-$0.542 \\
 8199415.3 &  4.522 &  $-$0.762 &  6986859.5 &  4.573 &  $-$0.707 \\
12435816.7 &  4.485 &  $-$0.918 & 13354308.3 &  4.533 &  $-$0.872 \\
19600968.0 &  4.448 &  $-$1.073 & 23490067.6 &  4.494 &  $-$1.037 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(5.0,0.25,0.004)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(1.0,0.25,0.001)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   4.399 &        0.0 &  4.000 &   3.776 \\
       3.2 &  4.111 &   4.399 &      328.2 &  4.098 &   3.776 \\
       5.5 &  4.223 &   4.399 &      775.9 &  4.196 &   3.776 \\
       7.8 &  4.334 &   4.399 &     1370.9 &  4.295 &   3.776 \\
       9.9 &  4.445 &   4.399 &     2147.8 &  4.393 &   3.776 \\
      13.0 &  4.556 &   4.398 &     3101.5 &  4.491 &   3.774 \\
      17.8 &  4.668 &   4.398 &     4253.8 &  4.589 &   3.773 \\
      24.0 &  4.779 &   4.398 &     5501.1 &  4.688 &   3.767 \\
      31.7 &  4.890 &   4.396 &     6871.2 &  4.786 &   3.759 \\
      41.5 &  5.002 &   4.395 &     8317.1 &  4.883 &   3.744 \\
      52.5 &  5.113 &   4.391 &     9779.6 &  4.980 &   3.716 \\
      64.6 &  5.224 &   4.385 &    11285.0 &  5.072 &   3.663 \\
      77.1 &  5.335 &   4.374 &    12704.1 &  5.148 &   3.568 \\
      90.1 &  5.446 &   4.353 &    13827.7 &  5.191 &   3.434 \\
     103.8 &  5.552 &   4.302 &    14550.7 &  5.203 &   3.285 \\
     116.0 &  5.621 &   4.169 &    14800.1 &  5.194 &   3.137 \\
     120.7 &  5.623 &   4.000 &    15049.5 &  5.185 &   2.988 \\
     122.5 &  5.605 &   3.833 &    15202.9 &  5.167 &   2.841 \\
     123.7 &  5.579 &   3.668 &    15356.3 &  5.150 &   2.693 \\
     124.9 &  5.549 &   3.505 &    15514.9 &  5.128 &   2.548 \\
     126.3 &  5.517 &   3.343 &    15740.2 &  5.104 &   2.403 \\
     128.3 &  5.484 &   3.181 &    16394.4 &  5.079 &   2.258 \\
     131.7 &  5.450 &   3.020 &    19054.0 &  5.054 &   2.113 \\
     141.2 &  5.415 &   2.859 &    31747.3 &  5.032 &   1.968 \\
     175.0 &  5.379 &   2.698 &    52644.0 &  5.009 &   1.822 \\
     297.8 &  5.344 &   2.538 &    85692.8 &  4.986 &   1.677 \\
     708.4 &  5.309 &   2.377 &   136428.6 &  4.961 &   1.533 \\
    1787.3 &  5.274 &   2.216 &   200335.4 &  4.936 &   1.388 \\
    3846.4 &  5.239 &   2.056 &   285935.9 &  4.910 &   1.244 \\
    7382.1 &  5.204 &   1.895 &   421110.9 &  4.884 &   1.100 \\
   12811.0 &  5.168 &   1.734 &   568703.4 &  4.857 &   0.956 \\
   21460.9 &  5.133 &   1.574 &   744582.6 &  4.829 &   0.812 \\
   34887.5 &  5.097 &   1.414 &   964233.1 &  4.800 &   0.669 \\
   56236.9 &  5.061 &   1.254 &  1244129.5 &  4.771 &   0.527 \\
   86229.2 &  5.024 &   1.094 &  1606161.6 &  4.742 &   0.384 \\
  123028.6 &  4.987 &   0.934 &  1968193.8 &  4.712 &   0.242 \\
  180864.9 &  4.950 &   0.774 &  2425509.1 &  4.681 &   0.100 \\
  254314.5 &  4.913 &   0.614 &  3029092.9 &  4.651 &  $-$0.042 \\
  352464.0 &  4.876 &   0.455 &  3856672.0 &  4.620 &  $-$0.184 \\
  487730.4 &  4.838 &   0.295 &  4968514.8 &  4.588 &  $-$0.326 \\
  672243.6 &  4.801 &   0.136 &  6487932.4 &  4.556 &  $-$0.467 \\
  919383.1 &  4.763 &  $-$0.023 &  8669595.7 &  4.524 &  $-$0.608 \\
 1220395.0 &  4.725 &  $-$0.183 & 11882791.3 &  4.491 &  $-$0.750 \\
 1694149.9 &  4.687 &  $-$0.342 & 17798530.0 &  4.459 &  $-$0.891 \\
 2580437.2 &  4.648 &  $-$0.501 & 25939029.6 &  4.427 &  $-$1.032 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~3---{\em Continued}}
\vskip 0.4cm
{\sc H-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &  \\ \hline \\ [-4mm]
\multicolumn{3}{c}{$(M,Y,Z)=(1.5,0.25,0.001)$} \\ [0.5mm] \hline \\ [-4mm]
      0.0 &  4.000 &   3.985 \\
     53.5 &  4.114 &   3.985 \\
    137.7 &  4.228 &   3.984 \\
    257.5 &  4.342 &   3.983 \\
    430.7 &  4.455 &   3.982 \\
    656.8 &  4.569 &   3.980 \\
    950.4 &  4.683 &   3.977 \\
   1288.5 &  4.797 &   3.972 \\
   1664.6 &  4.911 &   3.962 \\
   2069.1 &  5.024 &   3.944 \\
   2485.3 &  5.135 &   3.908 \\
   2904.1 &  5.238 &   3.833 \\
   3246.7 &  5.302 &   3.689 \\
   3409.0 &  5.312 &   3.517 \\
   3459.0 &  5.298 &   3.345 \\
   3509.1 &  5.284 &   3.173 \\
   3544.3 &  5.262 &   3.003 \\
   3579.5 &  5.239 &   2.833 \\
   3617.0 &  5.210 &   2.666 \\
   3665.7 &  5.181 &   2.498 \\
   3778.7 &  5.148 &   2.332 \\
   4055.2 &  5.115 &   2.167 \\
   4796.6 &  5.082 &   2.001 \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\
  \ldots  & \ldots &  \ldots \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~4}
\vskip 0.4cm
{\sc He-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(1.0,0.25,0.016)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(1.5,0.25,0.016)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   3.525 &        0.0 &  4.000 &   3.612 \\
      30.9 &  4.107 &   3.512 &      144.5 &  4.106 &   3.604 \\
      76.0 &  4.213 &   3.495 &      354.8 &  4.212 &   3.593 \\
     143.3 &  4.318 &   3.468 &      679.6 &  4.318 &   3.576 \\
     244.9 &  4.422 &   3.425 &     1150.7 &  4.423 &   3.553 \\
     639.6 &  4.316 &   3.447 &     1876.8 &  4.527 &   3.519 \\
     742.4 &  4.210 &   3.476 &     3025.8 &  4.628 &   3.472 \\
     877.0 &  4.105 &   3.499 &     4837.8 &  4.726 &   3.408 \\
    1191.3 &  4.211 &   3.493 &    17224.3 &  4.737 &   3.569 \\
    1358.3 &  4.317 &   3.472 &    23267.4 &  4.838 &   3.618 \\
    1571.6 &  4.422 &   3.440 &    26498.9 &  4.944 &   3.602 \\
    1917.0 &  4.524 &   3.391 &    29163.1 &  5.042 &   3.539 \\
    3664.6 &  4.622 &   3.325 &    31236.5 &  5.106 &   3.411 \\
    6229.1 &  4.714 &   3.242 &    32743.6 &  5.132 &   3.254 \\
   11186.6 &  4.795 &   3.135 &    33806.3 &  5.136 &   3.093 \\
   26162.7 &  4.811 &   3.296 &    34577.9 &  5.124 &   2.932 \\
   41399.5 &  4.901 &   3.384 &    35485.0 &  5.109 &   2.773 \\
   48667.8 &  4.994 &   3.304 &    38817.5 &  5.093 &   2.613 \\
   53680.0 &  5.044 &   3.160 &    45517.5 &  5.076 &   2.453 \\
   57319.5 &  5.058 &   2.998 &    53818.4 &  5.056 &   2.295 \\
   60022.7 &  5.055 &   2.836 &    66639.3 &  5.035 &   2.136 \\
   63126.2 &  5.045 &   2.674 &    83922.1 &  5.012 &   1.979 \\
   70885.2 &  5.034 &   2.512 &   110374.7 &  4.988 &   1.821 \\
   83456.3 &  5.021 &   2.351 &   154685.4 &  4.964 &   1.664 \\
  100917.4 &  5.004 &   2.190 &   218535.2 &  4.938 &   1.507 \\
  123893.1 &  4.984 &   2.030 &   298372.0 &  4.912 &   1.350 \\
  156369.0 &  4.963 &   1.870 &   418053.0 &  4.886 &   1.194 \\
  205739.4 &  4.942 &   1.711 &   572912.6 &  4.857 &   1.038 \\
  273240.8 &  4.918 &   1.552 &   766766.4 &  4.829 &   0.882 \\
  371703.7 &  4.894 &   1.394 &   997695.9 &  4.799 &   0.727 \\
  514045.9 &  4.870 &   1.235 &  1289019.6 &  4.769 &   0.573 \\
  693994.4 &  4.843 &   1.077 &  1653517.0 &  4.738 &   0.418 \\
  917881.0 &  4.816 &   0.920 &  2119396.4 &  4.705 &   0.264 \\
 1179026.5 &  4.787 &   0.763 &  2644822.2 &  4.673 &   0.110 \\
 1483518.9 &  4.758 &   0.607 &  3309034.4 &  4.640 &  $-$0.043 \\
 1904158.1 &  4.728 &   0.451 &  4204095.9 &  4.606 &  $-$0.197 \\
 2422390.9 &  4.696 &   0.296 &  5462318.9 &  4.572 &  $-$0.350 \\
 2940623.7 &  4.664 &   0.140 &  7306226.9 &  4.538 &  $-$0.503 \\
 3739476.4 &  4.631 &  $-$0.015 &  9589210.2 &  4.504 &  $-$0.655 \\
 4652079.9 &  4.599 &  $-$0.170 & 12936111.0 &  4.469 &  $-$0.808 \\
 5870408.9 &  4.565 &  $-$0.324 & 19605223.3 &  4.434 &  $-$0.961 \\
 7886541.7 &  4.531 &  $-$0.478 & 29021204.3 &  4.399 &  $-$1.113 \\
10417032.1 &  4.497 &  $-$0.632 & 41634214.4 &  4.364 &  $-$1.266 \\
13952707.7 &  4.463 &  $-$0.787 & 62786688.0 &  4.329 &  $-$1.418 \\
19484298.8 &  4.428 &  $-$0.941 & 86481772.1 &  4.293 &  $-$1.570 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~4---{\em Continued}}
\vskip 0.4cm
{\sc He-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(2.0,0.25,0.016)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(0.95,0.25,0.008)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   3.841   &        0.0 &  4.000 &   3.550  \\
      43.4 &  4.109 &   3.838   &       32.6 &  4.098 &   3.540  \\
     115.8 &  4.217 &   3.832   &       79.5 &  4.197 &   3.526  \\
     227.4 &  4.326 &   3.824   &      146.1 &  4.294 &   3.506  \\
     386.8 &  4.435 &   3.811   &      238.1 &  4.391 &   3.477  \\
     636.0 &  4.543 &   3.791   &      365.1 &  4.486 &   3.434  \\
    1055.0 &  4.650 &   3.764   &      527.8 &  4.573 &   3.363  \\
    1740.8 &  4.755 &   3.722   &      979.1 &  4.478 &   3.407  \\
    2886.7 &  4.856 &   3.661   &     1224.9 &  4.386 &   3.459  \\
    4712.6 &  4.949 &   3.575   &     1776.2 &  4.483 &   3.433  \\
    7202.2 &  5.025 &   3.456   &     2170.8 &  4.576 &   3.382  \\
   14850.6 &  5.130 &   3.500   &     2930.6 &  4.660 &   3.303  \\
   17230.7 &  5.178 &   3.351   &     6437.1 &  4.741 &   3.216  \\
   18484.3 &  5.184 &   3.186   &    11271.9 &  4.807 &   3.106  \\
   19533.3 &  5.177 &   3.020   &    18630.9 &  4.861 &   2.980  \\
   21235.4 &  5.163 &   2.856   &    42903.3 &  4.921 &   3.099  \\
   23580.4 &  5.146 &   2.693   &    66086.4 &  5.014 &   3.049  \\
   27285.1 &  5.125 &   2.530   &    73034.5 &  5.033 &   2.902  \\
   32345.2 &  5.102 &   2.368   &    77961.4 &  5.032 &   2.752  \\
   39662.4 &  5.078 &   2.207   &    82180.2 &  5.023 &   2.602  \\
   51318.3 &  5.053 &   2.046   &    91442.8 &  5.014 &   2.453  \\
   69123.0 &  5.028 &   1.885   &   103488.9 &  5.000 &   2.304  \\
   97210.5 &  5.000 &   1.725   &   112895.1 &  4.983 &   2.156  \\
  142019.0 &  4.973 &   1.564   &   143428.7 &  4.968 &   2.008  \\
  209514.1 &  4.944 &   1.405   &   169460.8 &  4.949 &   1.860  \\
  294463.4 &  4.916 &   1.245   &   223544.0 &  4.931 &   1.713  \\
  419979.6 &  4.887 &   1.085   &   295100.2 &  4.912 &   1.566  \\
  594271.0 &  4.856 &   0.927   &   394290.3 &  4.890 &   1.419  \\
  807518.0 &  4.824 &   0.768   &   519722.6 &  4.868 &   1.273  \\
 1078445.0 &  4.792 &   0.610   &   683215.5 &  4.844 &   1.127  \\
 1349372.1 &  4.760 &   0.452   &   877004.0 &  4.820 &   0.982  \\
 1755019.6 &  4.726 &   0.294   &  1116843.0 &  4.794 &   0.837  \\
 2298920.7 &  4.693 &   0.137   &  1417184.6 &  4.767 &   0.692  \\
 2842821.8 &  4.659 &  $-$0.020 &  1770820.7 &  4.740 &   0.548  \\
 3710269.6 &  4.624 &  $-$0.177 &  2212831.6 &  4.712 &   0.404  \\
 4726494.4 &  4.589 &  $-$0.334 &  2710816.6 &  4.683 &   0.260  \\
 6141162.4 &  4.554 &  $-$0.490 &  3319805.9 &  4.653 &   0.117  \\
 8291105.5 &  4.518 &  $-$0.647 &  4111728.3 &  4.623 &  $-$0.026 \\
12092309.5 &  4.482 &  $-$0.803 &  5182263.5 &  4.593 &  $-$0.169 \\
17124109.6 &  4.446 &  $-$0.959 &  6252798.7 &  4.563 &  $-$0.312 \\
26835620.6 &  4.410 &  $-$1.115 &  7996678.7 &  4.532 &  $-$0.454 \\
40246523.4 &  4.373 &  $-$1.271 & 10486114.5 &  4.500 &  $-$0.596 \\
58756285.3 &  4.336 &  $-$1.427 & 13659826.1 &  4.469 &  $-$0.739 \\
85885653.9 &  4.299 &  $-$1.583 & 18946080.0 &  4.437 &  $-$0.881 \\
   \ldots  & \ldots &  \ldots   & 27171975.3 &  4.405 &  $-$1.023 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~4---{\em Continued}}
\vskip 0.4cm
{\sc He-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(1.0,0.25,0.008)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(1.5,0.25,0.008)$} \\ [0.5mm] \hline \\ [-4mm]
        0.0 &  4.000 &   3.600   &        0.0 &  4.000 &   3.792  \\
       46.4 &  4.103 &   3.590   &       72.0 &  4.108 &   3.787  \\
      117.3 &  4.205 &   3.576   &      178.3 &  4.216 &   3.780  \\
      239.7 &  4.307 &   3.555   &      341.3 &  4.323 &   3.769  \\
      876.1 &  4.408 &   3.527   &      601.3 &  4.431 &   3.753  \\
     1624.2 &  4.508 &   3.492   &      999.1 &  4.537 &   3.730  \\
     2697.8 &  4.606 &   3.443   &     1642.9 &  4.643 &   3.697  \\
     4524.9 &  4.698 &   3.374   &     2662.6 &  4.746 &   3.648  \\
     7393.6 &  4.783 &   3.285   &     4251.7 &  4.844 &   3.579  \\
    12334.7 &  4.855 &   3.173   &     6569.7 &  4.932 &   3.485  \\
    27675.2 &  4.897 &   3.316   &    10130.6 &  5.008 &   3.368  \\
    40729.9 &  4.996 &   3.358   &    14913.2 &  5.026 &   3.530  \\
    46463.1 &  5.061 &   3.236   &    19976.9 &  5.132 &   3.502  \\
    49702.5 &  5.081 &   3.083   &    21723.0 &  5.169 &   3.348  \\
    52107.7 &  5.083 &   2.926   &    22812.2 &  5.174 &   3.184  \\
    54467.7 &  5.075 &   2.770   &    23688.9 &  5.166 &   3.020  \\
    58632.8 &  5.062 &   2.615   &    24961.8 &  5.152 &   2.858  \\
    67042.5 &  5.050 &   2.459   &    27426.7 &  5.137 &   2.695  \\
    70225.2 &  5.029 &   2.306   &    31650.7 &  5.118 &   2.534  \\
    89841.0 &  5.014 &   2.152   &    37096.8 &  5.096 &   2.373  \\
   110150.4 &  4.994 &   1.998   &    45285.0 &  5.073 &   2.212  \\
   142186.0 &  4.972 &   1.845   &    56953.4 &  5.049 &   2.053  \\
   185486.3 &  4.950 &   1.692   &    74441.5 &  5.023 &   1.893  \\
   245226.8 &  4.927 &   1.540   &   104178.6 &  4.997 &   1.734  \\
   335067.4 &  4.903 &   1.388   &   150645.3 &  4.970 &   1.575  \\
   468693.5 &  4.878 &   1.236   &   212302.3 &  4.943 &   1.416  \\
   624086.2 &  4.853 &   1.084   &   316631.7 &  4.914 &   1.258  \\
   831484.7 &  4.826 &   0.933   &   445461.6 &  4.885 &   1.100  \\
  1068266.7 &  4.798 &   0.782   &   609229.8 &  4.856 &   0.942  \\
  1356753.8 &  4.769 &   0.632   &   818261.6 &  4.825 &   0.785  \\
  1698862.2 &  4.740 &   0.482   &  1086638.8 &  4.793 &   0.628  \\
  2130250.4 &  4.710 &   0.333   &  1435162.0 &  4.761 &   0.471  \\
  2688835.7 &  4.679 &   0.183   &  1783685.1 &  4.728 &   0.315  \\
  3433557.8 &  4.647 &   0.034   &  2310012.7 &  4.695 &   0.159  \\
  4178280.0 &  4.616 &  $-$0.115 &  2915630.0 &  4.661 &   0.003  \\
  5172869.8 &  4.584 &  $-$0.263 &  3699486.5 &  4.627 &  $-$0.153 \\
  6876659.3 &  4.551 &  $-$0.412 &  4791798.3 &  4.592 &  $-$0.308 \\
  9258227.7 &  4.518 &  $-$0.560 &  6398986.8 &  4.557 &  $-$0.464 \\
 12198856.1 &  4.484 &  $-$0.708 &  8858144.7 &  4.522 &  $-$0.619 \\
 16435138.1 &  4.451 &  $-$0.856 & 11991434.0 &  4.487 &  $-$0.774 \\
 24762950.9 &  4.417 &  $-$1.004 & 17961546.1 &  4.451 &  $-$0.929 \\
 36245231.7 &  4.384 &  $-$1.151 & 26561673.5 &  4.415 &  $-$1.083 \\
 52634927.3 &  4.350 &  $-$1.299 & 39554675.3 &  4.379 &  $-$1.238 \\
 73418094.5 &  4.315 &  $-$1.446 & 57801848.6 &  4.343 &  $-$1.393 \\
    \ldots  & \ldots &   \ldots  & 83172271.7 &  4.306 &  $-$1.547 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~4---{\em Continued}}
\vskip 0.4cm
{\sc He-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr|rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c|}{$\log L/L_{\odot}$} & \multicolumn{1}{c}{Time} &
$\log T_{\rm eff}$ & \multicolumn{1}{c}{$\log L/L_{\odot}$} \\
\multicolumn{1}{c}{(yrs)} &   &   & \multicolumn{1}{c}{(yrs)} &  &  \\ \hline \\ [-4mm]
\multicolumn{3}{c|}{$(M,Y,Z)=(2.0,0.25,0.008)$} &
\multicolumn{3}{c}{$(M,Y,Z)=(2.5,0.25,0.008)$} \\ [0.5mm] \hline \\ [-4mm]
        0.0 &  4.000 &   3.918   &        0.0 &  4.000 &   3.954   \\
       44.1 &  4.113 &   3.915   &       37.1 &  4.115 &   3.952   \\
      113.2 &  4.225 &   3.910   &       97.8 &  4.230 &   3.947   \\
      218.5 &  4.338 &   3.903   &      185.1 &  4.345 &   3.941   \\
      380.1 &  4.450 &   3.891   &      322.3 &  4.459 &   3.932   \\
      630.3 &  4.563 &   3.875   &      531.8 &  4.574 &   3.916   \\
     1019.9 &  4.674 &   3.850   &      859.3 &  4.688 &   3.894   \\
     1602.5 &  4.784 &   3.813   &     1334.2 &  4.801 &   3.859   \\
     2477.0 &  4.891 &   3.758   &     2000.5 &  4.910 &   3.808   \\
     3691.8 &  4.990 &   3.676   &     2924.3 &  5.014 &   3.732   \\
     5525.7 &  5.077 &   3.566   &     6462.7 &  5.116 &   3.813   \\
     8943.6 &  5.127 &   3.719   &     7658.2 &  5.221 &   3.743   \\
    10574.5 &  5.216 &   3.614   &     8334.2 &  5.273 &   3.587   \\
    11378.3 &  5.245 &   3.448   &     8683.2 &  5.279 &   3.412   \\
    11863.7 &  5.244 &   3.277   &     8961.8 &  5.269 &   3.238   \\
    12370.5 &  5.231 &   3.106   &     9367.7 &  5.251 &   3.065   \\
    13141.4 &  5.212 &   2.937   &    10339.6 &  5.230 &   2.893   \\
    14845.5 &  5.192 &   2.769   &    11892.5 &  5.207 &   2.722   \\
    17179.1 &  5.169 &   2.601   &    13970.3 &  5.182 &   2.551   \\
    20632.4 &  5.145 &   2.433   &    17362.7 &  5.155 &   2.381   \\
    25789.9 &  5.119 &   2.266   &    22437.7 &  5.127 &   2.212   \\
    33935.3 &  5.091 &   2.100   &    30302.8 &  5.097 &   2.043   \\
    46790.4 &  5.063 &   1.934   &    42639.5 &  5.066 &   1.874   \\
    67638.7 &  5.034 &   1.768   &    58836.0 &  5.035 &   1.706   \\
   100796.3 &  5.003 &   1.603   &    87653.1 &  5.003 &   1.538   \\
   152320.8 &  4.973 &   1.438   &   134188.1 &  4.970 &   1.370   \\
   232864.0 &  4.942 &   1.273   &   197080.9 &  4.937 &   1.203   \\
   333199.3 &  4.910 &   1.108   &   306381.6 &  4.903 &   1.036   \\
   487980.3 &  4.878 &   0.944   &   448745.7 &  4.869 &   0.869   \\
   680526.6 &  4.844 &   0.780   &   638257.6 &  4.834 &   0.702   \\
   929046.5 &  4.810 &   0.617   &   827769.5 &  4.799 &   0.535   \\
  1177566.5 &  4.776 &   0.453   &  1131836.8 &  4.763 &   0.369   \\
  1552809.1 &  4.741 &   0.290   &  1539671.3 &  4.726 &   0.204   \\
  2061361.4 &  4.705 &   0.128   &  2098066.2 &  4.690 &   0.038   \\
  2569913.6 &  4.669 &  $-$0.035 &  2656461.1 &  4.653 &  $-$0.128 \\
  3392019.2 &  4.632 &  $-$0.197 &  3607628.8 &  4.615 &  $-$0.293 \\
  4524218.7 &  4.596 &  $-$0.359 &  4766649.1 &  4.577 &  $-$0.458 \\
  6217526.7 &  4.558 &  $-$0.521 &  6973606.1 &  4.539 &  $-$0.623 \\
  8833619.2 &  4.521 &  $-$0.683 & 10163527.4 &  4.500 &  $-$0.788 \\
 12249887.1 &  4.484 &  $-$0.845 & 15641625.4 &  4.463 &  $-$0.953 \\
 19224016.5 &  4.447 &  $-$1.007 & 24868990.4 &  4.424 &  $-$1.118 \\
 31758215.8 &  4.409 &  $-$1.168 & 40486891.5 &  4.385 &  $-$1.282 \\
 48392349.2 &  4.370 &  $-$1.330 & 60951078.4 &  4.346 &  $-$1.447 \\
 69341118.1 &  4.332 &  $-$1.491 & 86142377.5 &  4.307 &  $-$1.611 \\
    \ldots  & \ldots &    \ldots &    \ldots  & \ldots &  \ldots   \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~4---{\em Continued}}
\vskip 0.4cm
{\sc He-Burning PNN Evolutionary Models}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{time} & $\log T_{eff}$ &
\multicolumn{1}{c}{$\log L/L_{\odot}$}  \\
\multicolumn{1}{c}{(yrs)} &   &   \\ \hline \\ [-4mm]
\multicolumn{3}{c}{$(M,Y,Z)=(0.89,0.25,0.004)$} \\ [0.5mm] \hline \\ [-4mm]
        0.0 &  4.000 &   3.624   \\
       23.4 &  4.096 &   3.616   \\
       55.5 &  4.192 &   3.603   \\
      100.4 &  4.288 &   3.584   \\
      158.8 &  4.383 &   3.558   \\
      231.6 &  4.475 &   3.517   \\
      341.4 &  4.563 &   3.454   \\
      680.2 &  4.471 &   3.499   \\
      882.8 &  4.379 &   3.545   \\
     1338.5 &  4.474 &   3.522   \\
     1649.9 &  4.566 &   3.478   \\
     2361.7 &  4.651 &   3.409   \\
     4790.9 &  4.734 &   3.335   \\
     8298.6 &  4.806 &   3.236   \\
    13742.4 &  4.865 &   3.121   \\
    21104.5 &  4.909 &   2.990   \\
    29995.7 &  4.941 &   2.851   \\
    56701.1 &  5.004 &   2.962   \\
    73527.8 &  5.039 &   2.825   \\
    79732.8 &  5.037 &   2.679   \\
    85713.8 &  5.029 &   2.532   \\
    94501.5 &  5.015 &   2.387   \\
   102590.9 &  4.999 &   2.242   \\
   124429.6 &  4.985 &   2.097   \\
   149733.3 &  4.968 &   1.953   \\
   189194.2 &  4.950 &   1.809   \\
   242363.8 &  4.931 &   1.665   \\
   313419.2 &  4.909 &   1.522   \\
   407412.7 &  4.888 &   1.379   \\
   544139.3 &  4.866 &   1.236   \\
   714917.3 &  4.842 &   1.094   \\
   904759.2 &  4.818 &   0.952   \\
  1167673.2 &  4.792 &   0.810   \\
  1473480.1 &  4.766 &   0.669   \\
  1811994.7 &  4.739 &   0.529   \\
  2216384.8 &  4.711 &   0.388   \\
  2724351.4 &  4.683 &   0.248   \\
  3386677.7 &  4.654 &   0.108   \\
  4049004.1 &  4.625 &  $-$0.032 \\
  5077756.2 &  4.595 &  $-$0.171 \\
  6429663.7 &  4.565 &  $-$0.311 \\
  8260848.8 &  4.535 &  $-$0.450 \\
 10692180.4 &  4.504 &  $-$0.589 \\
 13700809.9 &  4.474 &  $-$0.729 \\
 18803422.7 &  4.442 &  $-$0.867 \\ \hline
\end{tabular}
}
\end{center}
\end{table}
%
%
\begin{table}
\begin{center}
{\large TABLE~5}
\vskip 0.4cm
{\sc H-Like He Burning PNN Evolutionary Model}
\vskip 0.3cm
\footnotesize{
\begin{tabular}{rcr} \hline \hline \\ [-4mm]
\multicolumn{1}{c}{Time} & $\log T_{\rm eff}$ &
\multicolumn{1}{c}{$\log L/L_{\odot}$}  \\
\multicolumn{1}{c}{(yrs)} &   &   \\ \hline \\ [-4mm]
\multicolumn{3}{c}{$(M,Y,Z)=(1.5,0.25,0.008)$} \\ [0.5mm] \hline \\ [-4mm]
       0.0 &  4.000 &   3.880 \\  
      17.7 &  4.092 &   3.876 \\  
      44.2 &  4.183 &   3.871 \\  
      83.5 &  4.275 &   3.865 \\  
     144.4 &  4.367 &   3.855 \\
     256.3 &  4.458 &   3.842 \\
     462.6 &  4.549 &   3.825 \\  
     759.1 &  4.639 &   3.801 \\  
    1192.7 &  4.728 &   3.768 \\  
    1920.4 &  4.815 &   3.723 \\  
    3113.4 &  4.897 &   3.661 \\  
    4951.5 &  4.971 &   3.579 \\  
    7493.8 &  5.032 &   3.474 \\  
   10514.7 &  5.074 &   3.350 \\  
   13459.8 &  5.102 &   3.217 \\  
   16031.6 &  5.113 &   3.078 \\  
   18539.5 &  5.117 &   2.939 \\  
   21331.4 &  5.115 &   2.799 \\  
   24548.5 &  5.110 &   2.660 \\  
   29219.3 &  5.100 &   2.521 \\  
   35963.7 &  5.087 &   2.383 \\  
   45333.4 &  5.071 &   2.246 \\  
   56619.7 &  5.051 &   2.109 \\  
   70472.5 &  5.030 &   1.973 \\  
   89790.2 &  5.009 &   1.838 \\  
  116686.0 &  4.987 &   1.702 \\  
  161415.0 &  4.964 &   1.567 \\  
  219508.3 &  4.941 &   1.432 \\  
  296065.3 &  4.917 &   1.297 \\  
  395438.0 &  4.893 &   1.162 \\  
  520758.9 &  4.868 &   1.028 \\  
  675801.9 &  4.843 &   0.894 \\  
  862986.3 &  4.817 &   0.760 \\  
 1092802.3 &  4.790 &   0.626 \\  
 1378477.9 &  4.763 &   0.493 \\  
 1742760.2 &  4.735 &   0.360 \\  
 2107042.4 &  4.707 &   0.227 \\  
 2548029.9 &  4.678 &   0.095 \\  
 3114143.6 &  4.650 &  $-$0.038 \\
 3870769.2 &  4.620 &  $-$0.170 \\
 4627394.7 &  4.591 &  $-$0.302 \\
 5890419.5 &  4.561 &  $-$0.434 \\
 7397708.1 &  4.531 &  $-$0.566 \\
10087160.9 &  4.502 &  $-$0.698 \\
13808257.0 &  4.472 &  $-$0.830 \\ \hline
\end{tabular}
}
\end{center}
\end{table}

\end{document}

\bye

