\begin{table}%t8
\caption{\label{tab8}Periods and  relative rates of period change 
($\ell= 1$ modes) 
for selected models with~$M_*= 0.75~M_{\odot}$ 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|}{27~039 K} &
\multicolumn{2}{c|}{25~990 K} & 
\multicolumn{2}{c|}{25~029 K} &
\multicolumn{2}{c|}{24~001 K} & 
\multicolumn{2}{c|}{23~033 K} &
\multicolumn{2}{c}{21~997 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&        123.03&          2.40&        126.67&          1.81&        130.85&          1.40&        135.08&          1.15&        140.02&          0.94&        145.06&          0.79&        150.74&          0.65\\
 2&        142.97&          2.02&        146.53&          1.53&        150.59&          1.18&        154.64&          0.95&        159.26&          0.76&        163.89&          0.64&        169.15&          0.55\\
 3&        183.88&          2.04&        188.41&          1.48&        193.25&          1.07&        197.86&          0.84&        203.16&          0.70&        208.78&          0.63&        215.67&          0.58\\
 4&        207.81&          1.77&        212.37&          1.37&        217.80&          1.12&        223.67&          0.99&        231.05&          0.87&        239.05&          0.77&        248.49&          0.66\\
 5&        246.86&          2.18&        253.53&          1.66&        261.12&          1.26&        268.46&          0.97&        276.19&          0.69&        282.82&          0.49&        289.35&          0.38\\
 6&        275.46&          1.67&        281.04&          1.23&        287.05&          0.89&        292.70&          0.70&        299.52&          0.64&        307.70&          0.65&        318.76&          0.64\\
 7&        306.39&          1.78&        312.76&          1.24&        319.61&          0.94&        326.72&          0.82&        335.56&          0.72&        344.83&          0.61&        355.10&          0.50\\
 8&        340.44&          1.33&        346.67&          1.23&        355.13&          1.10&        364.26&          0.91&        374.49&          0.70&        383.97&          0.54&        394.41&          0.48\\
 9&        371.00&          2.22&        381.23&          1.69&        392.44&          1.20&        402.31&          0.83&        412.13&          0.61&        422.03&          0.55&        434.67&          0.55\\
10&        403.20&          1.61&        410.54&          1.04&        417.71&          0.74&        425.52&          0.74&        437.16&          0.77&        450.95&          0.71&        467.73&          0.65\\
11&        434.69&          1.68&        443.23&          1.20&        453.24&          1.00&        463.96&          0.85&        476.07&          0.65&        487.31&          0.50&        500.83&          0.55\\
12&        464.85&          1.40&        474.03&          1.33&        486.22&          1.12&        498.52&          0.88&        511.98&          0.68&        525.31&          0.58&        542.31&          0.63\\
13&        496.77&          2.00&        508.98&          1.48&        521.24&          0.94&        531.50&          0.68&        543.46&          0.62&        557.39&          0.60&        576.65&          0.68\\
14&        533.33&          1.79&        544.05&          1.15&        555.10&          0.90&        567.52&          0.84&        583.26&          0.72&        598.64&          0.56&        618.17&          0.69\\
15&        557.91&          1.73&        569.60&          1.32&        584.14&          1.14&        599.77&          0.95&        617.57&          0.75&        635.09&          0.63&        658.86&          0.77\\
16&        590.63&          1.24&        601.20&          1.22&        615.44&          1.03&        629.50&          0.79&        645.04&          0.65&        662.22&          0.63&        687.30&          0.76\\
17&        629.79&          1.92&        644.36&          1.36&        658.04&          0.81&        669.64&          0.64&        684.65&          0.62&        701.79&          0.57&        727.55&          0.81\\
18&        660.68&          1.96&        675.90&          1.36&        692.33&          1.07&        710.02&          0.93&        729.99&          0.68&        747.86&          0.53&        775.34&          0.86\\
19&        690.22&          1.68&        703.43&          1.18&        720.07&          1.08&        738.48&          0.91&        759.95&          0.76&        782.97&          0.69&        815.68&          0.85\\
20&        722.13&          1.45&        736.73&          1.36&        755.60&          1.09&        773.17&          0.78&        792.29&          0.66&        813.65&          0.63&        846.69&          0.87\\
21&        754.41&          1.81&        772.02&          1.44&        790.43&          0.95&        807.32&          0.79&        829.33&          0.73&        852.75&          0.63&        887.27&          0.89\\
22&        791.81&          1.82&        808.43&          1.20&        825.20&          0.92&        844.17&          0.85&        866.73&          0.67&        888.69&          0.58&        924.45&          0.90\\
23&        825.01&          1.98&        843.38&          1.31&        864.24&          1.09&        885.33&          0.83&        907.13&          0.62&        930.08&          0.59&        968.71&          0.94\\
24&        850.86&          1.48&        867.65&          1.35&        890.98&          1.18&        914.75&          0.93&        942.67&          0.80&        971.92&          0.68&       1013.92&          0.93\\
\hline
\end{tabular}}}}
\smallskip
Note -- All~$\dot{P}/P$ values are in units of~$10^{-16}$ s$^{-1}$.
\end{table}