\begin{table}%t1
\caption{\label{tab1}Periods and relative rates of period change 
($\ell= 1$ modes) 
for selected models with~$M_*= 0.50~M_{\odot}$ and 
$M_{\rm He}= 8 \times  10^{-3}~M_*$.} 
{{%\centerline
{
\begin{tabular}{c|cc|cc|cc|cc|cc|cc|cc}
\hline
\hline
\multicolumn{1}{c|}{} & 
\multicolumn{2}{c|}{$T_{\rm eff}=28~093$  K} & 
\multicolumn{2}{c|}{27~029  K} &
\multicolumn{2}{c|}{26~026  K} & 
\multicolumn{2}{c|}{25~087  K} &
\multicolumn{2}{c|}{24~025  K} & 
\multicolumn{2}{c|}{23~031  K} &
\multicolumn{2}{c}{22~099  K}\\
\hline
$k$ &~$P$ [s] &~$\dot{P}/P$ &~$P$ [s] &~$\dot{P}/P$ &~$P$ [s] &~$\dot{P}/P$ 
&~$P$ [s] &~$\dot{P}/P$ &~$P$ [s] &~$\dot{P}/P$ &~$P$ [s] &~$\dot{P}/P$ &~$P$ [s] &~$\dot{P}/P$\\
 1&        127.35&          6.90&        130.83&          5.89&        134.29&          4.77&        137.75&          3.97&        141.90&          3.18&        146.07&          2.56&        150.27&          2.06\\
 2&        164.92&          6.16&        169.04&          5.49&        173.22&          4.52&        177.50&          3.85&        182.76&          3.16&        188.13&          2.57&        193.59&          2.07\\
 3&        214.27&          5.13&        218.53&          4.18&        222.68&          3.44&        226.77&          2.85&        231.67&          2.31&        236.60&          1.88&        241.61&          1.53\\
 4&        245.71&          6.04&        251.85&          5.51&        258.27&          4.70&        264.99&          4.07&        273.38&          3.38&        282.02&          2.76&        290.83&          2.23\\
 5&        293.05&          5.98&        299.88&          4.90&        306.60&          4.04&        313.25&          3.35&        321.17&          2.68&        329.06&          2.14&        336.92&          1.70\\
 6&        320.01&          5.85&        327.78&          5.35&        336.02&          4.64&        344.67&          4.05&        355.52&          3.37&        366.75&          2.76&        378.23&          2.23\\
 7&        379.07&          5.98&        387.78&          4.81&        396.12&          3.81&        404.04&          3.04&        413.00&          2.29&        421.32&          1.71&        429.06&          1.28\\
 8&        409.50&          6.67&        420.72&          5.95&        432.38&          5.05&        444.31&          4.28&        458.69&          3.39&        472.61&          2.55&        485.12&          1.77\\
 9&        462.64&          6.41&        473.88&          5.02&        483.93&          3.55&        492.45&          2.53&        500.82&          1.67&        508.20&          1.30&        516.47&          1.29\\
10&        490.95&          5.46&        502.26&          5.12&        513.76&          4.18&        525.43&          3.53&        539.47&          2.82&        553.27&          2.21&        566.79&          1.75\\
11&        543.60&          5.05&        552.83&          3.25&        559.08&          1.81&        564.57&          1.63&        573.14&          1.88&        585.02&          2.02&        599.78&          1.91\\
12&        576.56&          3.31&        585.17&          3.52&        595.89&          3.62&        608.53&          3.43&        624.89&          2.88&        641.37&          2.27&        657.00&          1.69\\
13&        617.42&          4.19&        628.03&          3.85&        640.11&          3.67&        653.51&          3.34&        670.48&          2.77&        687.31&          2.13&        702.49&          1.49\\
14&        642.58&          4.99&        658.03&          5.55&        675.76&          4.99&        694.27&          4.25&        716.24&          3.24&        735.25&          2.03&        749.26&          1.28\\
15&        693.53&          5.80&        709.33&          4.88&        724.50&          3.75&        738.11&          2.73&        751.13&          1.68&        763.02&          1.57&        780.68&          1.93\\
16&        729.80&          6.40&        748.73&          5.54&        767.12&          4.24&        782.56&          2.77&        796.58&          1.84&        811.81&          1.84&        830.30&          1.72\\
17&        782.04&          6.04&        798.52&          4.06&        808.98&          1.88&        817.49&          1.94&        834.90&          2.71&        858.10&          2.51&        881.87&          1.94\\
18&        812.32&          5.64&        829.62&          4.30&        845.65&          3.62&        863.71&          3.47&        887.20&          2.89&        909.82&          2.10&        928.68&          1.37\\
19&        853.97&          3.16&        863.25&          2.61&        877.70&          3.69&        898.09&          3.83&        925.15&          3.19&        950.44&          2.17&        971.12&          1.56\\
20&        888.62&          2.95&        904.44&          4.55&        925.04&          4.26&        946.24&          3.48&        968.49&          2.19&        984.81&          1.44&       1006.19&          1.88\\
21&        930.53&          5.49&        952.90&          5.33&        976.07&          4.29&        996.29&          2.83&       1011.97&          1.43&       1029.22&          1.83&       1054.24&          1.89\\
22&        965.48&          6.37&        990.90&          5.68&       1015.89&          4.33&       1035.78&          2.62&       1057.17&          2.50&       1084.83&          2.38&       1113.16&          1.84\\
\hline
\end{tabular}}}}
\smallskip
Note -- All~$\dot{P}/P$ values are in units of~$10^{-16}$ s$^{-1}$.
\end{table}