% 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