\begin{table}%T5
\caption{\label{tab5}Periods and  relative rates of period change 
($\ell= 1$ modes) 
for selected models with~$M_*= 0.65~M_{\odot}$ and 
$M_{\rm He}= 9 \times  10^{-4}~M_*$.}
{{%\centerline
{
\begin{tabular}{c|cc|cc|cc|cc|cc|cc|cc}
\hline
\hline
\multicolumn{1}{c|}{} & 
\multicolumn{2}{c|}{$T_{\rm eff}= 28~041$  K} & 
\multicolumn{2}{c|}{27~090 K} &
\multicolumn{2}{c|}{26~020 K} & 
\multicolumn{2}{c|}{25~024 K} &
\multicolumn{2}{c|}{23~943 K} & 
\multicolumn{2}{c|}{22~945 K} &
\multicolumn{2}{c}{22~039 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&        126.88&          5.11&        130.38&          4.06&        134.59&          3.05&        138.82&          2.29&        143.81&          1.69&        148.90&          1.31&        153.99&          1.05\\
 2&        153.06&          3.74&        156.19&          3.06&        160.05&          2.38&        164.01&          1.83&        168.78&          1.39&        173.71&          1.09&        178.62&          0.87\\
 3&        193.63&          4.61&        198.47&          3.69&        204.31&          2.77&        210.15&          2.08&        216.87&          1.48&        223.37&          1.08&        229.48&          0.83\\
 4&        227.51&          3.60&        231.93&          2.89&        237.25&          2.17&        242.58&          1.65&        248.81&          1.22&        255.24&          0.98&        261.98&          0.84\\
 5&        262.04&          4.58&        268.53&          3.67&        276.43&          2.78&        284.42&          2.11&        293.84&          1.56&        303.36&          1.19&        312.62&          0.92\\
 6&        300.74&          3.87&        306.90&          3.00&        314.08&          2.17&        321.07&          1.62&        329.02&          1.15&        336.68&          0.85&        343.89&          0.66\\
 7&        332.30&          3.48&        338.56&          2.81&        346.21&          2.16&        353.90&          1.62&        362.70&          1.16&        371.30&          0.88&        379.95&          0.74\\
 8&        377.94&          3.54&        384.60&          2.47&        391.56&          1.63&        398.06&          1.23&        406.14&          1.02&        415.55&          0.92&        425.99&          0.80\\
 9&        401.62&          2.99&        408.76&          2.81&        418.85&          2.48&        430.26&          2.06&        444.54&          1.58&        458.90&          1.16&        471.83&          0.82\\
10&        438.27&          3.84&        447.38&          3.09&        458.37&          2.30&        469.24&          1.71&        481.02&          1.12&        491.21&          0.75&        501.22&          0.69\\
11&        471.93&          3.67&        481.49&          3.05&        493.22&          2.31&        504.45&          1.60&        516.34&          1.08&        528.34&          0.90&        541.75&          0.84\\
12&        508.90&          4.11&        519.69&          3.02&        530.98&          1.89&        540.66&          1.32&        552.67&          1.14&        567.07&          1.01&        582.65&          0.88\\
13&        548.92&          2.53&        555.93&          1.88&        565.15&          1.75&        577.06&          1.69&        593.43&          1.36&        609.46&          0.94&        623.80&          0.76\\
14&        578.30&          3.71&        590.30&          3.15&        605.61&          2.49&        621.19&          1.85&        637.61&          1.14&        651.14&          0.77&        666.40&          0.86\\
15&        607.87&          3.18&        619.20&          2.90&        634.25&          2.36&        649.46&          1.72&        666.45&          1.24&        684.86&          1.08&        705.77&          1.01\\
16&        648.21&          4.04&        662.06&          3.09&        676.56&          1.85&        687.85&          1.16&        701.46&          1.05&        718.58&          0.96&        738.44&          0.96\\
17&        689.47&          3.71&        701.93&          2.49&        715.01&          1.79&        729.95&          1.67&        750.04&          1.30&        768.60&          0.84&        787.10&          0.92\\
18&        720.75&          3.26&        733.19&          2.61&        749.99&          2.33&        769.03&          1.89&        790.64&          1.24&        809.79&          0.90&        832.91&          1.06\\
19&        752.05&          2.99&        765.37&          2.82&        784.18&          2.43&        803.57&          1.75&        823.80&          1.15&        845.00&          1.03&        871.16&          1.09\\
20&        783.56&          3.72&        800.55&          3.31&        821.32&          2.36&        839.23&          1.47&        859.00&          1.21&        882.52&          1.05&        909.66&          1.10\\
21&        825.67&          3.79&        841.90&          2.79&        858.29&          1.68&        873.96&          1.48&        897.34&          1.35&        921.88&          0.97&        948.35&          1.08\\
22&        867.99&          3.87&        883.99&          2.49&        900.69&          1.87&        920.13&          1.68&        943.76&          1.14&        963.98&          0.79&        991.11&          1.14\\
23&        896.36&          3.53&        913.02&          2.83&        936.08&          2.56&        961.43&          1.96&        987.51&          1.15&       1011.52&          0.96&       1042.90&          1.18\\
24&        927.94&          2.72&        943.81&          2.82&        967.15&          2.42&        990.17&          1.64&       1015.52&          1.30&       1046.29&          1.18&       1081.47&          1.16\\
25&        968.77&          3.58&        988.78&          3.13&       1011.86&          2.00&       1030.38&          1.30&       1054.70&          1.24&       1082.21&          0.94&       1114.22&          1.17\\
\hline
\end{tabular}}}}
\smallskip
Note -- All~$\dot{P}/P$ values are in units of~$10^{-16}$ s$^{-1}$.
\end{table}