\begin{table}%T7
\caption{\label{tab7}Periods and  relative rates of period change 
($\ell= 1$ modes) 
for selected models with~$M_*= 0.75~M_{\odot}$ 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|}{$T_{\rm eff}= 27~969$  K} & 
\multicolumn{2}{c|}{27~011 K} &
\multicolumn{2}{c|}{26~002 K} & 
\multicolumn{2}{c|}{25~070 K} &
\multicolumn{2}{c|}{23~956 K} & 
\multicolumn{2}{c|}{23~025 K} &
\multicolumn{2}{c}{22~022 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&        115.07&          2.03&        118.26&          1.61&        121.98&          1.30&        125.83&          1.10&        130.99&          0.92&        135.77&          0.81&        141.33&          0.71\\
 2&        147.18&          1.88&        150.91&          1.46&        155.16&          1.14&        159.35&          0.92&        164.61&          0.72&        169.11&          0.59&        173.95&          0.49\\
 3&        173.02&          1.43&        176.28&          1.08&        179.89&          0.83&        183.44&          0.69&        188.17&          0.60&        192.78&          0.57&        198.63&          0.55\\
 4&        213.57&          1.72&        218.49&          1.33&        224.12&          1.06&        229.91&          0.90&        237.66&          0.76&        244.68&          0.65&        252.41&          0.53\\
 5&        236.16&          1.64&        241.58&          1.36&        248.16&          1.14&        255.04&          0.97&        264.13&          0.79&        272.26&          0.67&        281.49&          0.59\\
 6&        277.38&          1.66&        283.33&          1.19&        289.30&          0.80&        294.32&          0.57&        300.19&          0.45&        305.85&          0.45&        313.36&          0.46\\
 7&        297.53&          1.40&        303.14&          1.10&        309.88&          0.95&        317.46&          0.89&        328.60&          0.82&        339.35&          0.73&        351.84&          0.63\\
 8&        336.46&          1.03&        341.60&          0.95&        348.47&          0.87&        355.90&          0.74&        365.24&          0.56&        372.78&          0.44&        380.97&          0.40\\
 9&        372.43&          2.01&        382.53&          1.55&        393.38&          1.09&        402.32&          0.70&        411.34&          0.48&        419.17&          0.44&        429.07&          0.45\\
10&        396.26&          1.41&        403.35&          0.99&        410.92&          0.79&        419.88&          0.85&        435.03&          0.87&        450.46&          0.79&        468.69&          0.70\\
11&        435.31&          1.27&        442.23&          0.91&        450.48&          0.81&        459.61&          0.71&        471.35&          0.55&        481.21&          0.46&        493.41&          0.51\\
12&        457.41&          1.47&        467.69&          1.40&        480.84&          1.17&        494.06&          0.93&        509.82&          0.68&        522.69&          0.55&        538.12&          0.58\\
13&        495.52&          1.50&        505.36&          1.11&        515.23&          0.75&        524.02&          0.60&        536.72&          0.60&        550.82&          0.62&        570.27&          0.68\\
14&        528.02&          1.73&        539.38&          1.17&        550.72&          0.86&        562.24&          0.74&        577.67&          0.61&        591.10&          0.51&        608.65&          0.63\\
15&        556.80&          1.27&        566.46&          1.06&        579.67&          1.03&        594.65&          0.91&        613.88&          0.69&        629.75&          0.56&        650.51&          0.69\\
16&        583.05&          1.41&        595.15&          1.26&        609.90&          1.02&        624.25&          0.79&        642.26&          0.66&        660.27&          0.66&        685.76&          0.76\\
17&        619.08&          1.47&        631.67&          1.16&        644.78&          0.80&        656.76&          0.66&        673.88&          0.62&        690.99&          0.58&        715.23&          0.74\\
18&        659.60&          1.62&        672.23&          1.00&        684.72&          0.78&        698.55&          0.73&        717.55&          0.60&        733.91&          0.51&        759.14&          0.79\\
19&        683.63&          1.48&        697.58&          1.24&        715.78&          1.12&        734.86&          0.90&        757.29&          0.64&        776.21&          0.57&        804.98&          0.81\\
20&        715.69&          1.25&        729.03&          1.16&        746.06&          0.96&        762.71&          0.77&        785.46&          0.72&        808.91&          0.69&        841.61&          0.82\\
21&        746.97&          1.59&        763.68&          1.28&        781.17&          0.88&        797.14&          0.72&        819.76&          0.66&        841.48&          0.60&        874.08&          0.84\\
22&        782.59&          1.56&        797.99&          1.07&        814.10&          0.86&        832.45&          0.82&        857.35&          0.65&        878.77&          0.56&        912.26&          0.85\\
23&        818.75&          1.44&        833.23&          1.01&        851.15&          0.93&        870.18&          0.76&        893.50&          0.60&        915.85&          0.60&        951.68&          0.85\\
24&        846.51&          1.55&        865.32&          1.35&        888.22&          1.06&        908.75&          0.75&        933.41&          0.62&        956.87&          0.57&        994.35&          0.89\\
25&        873.67&          1.35&        891.63&          1.25&        913.03&          0.97&        935.22&          0.90&        968.32&          0.80&        997.63&          0.65&       1038.55&          0.90\\
26&        915.25&          1.52&        933.00&          1.04&        950.10&          0.76&        969.13&          0.74&        995.97&          0.63&       1022.32&          0.65&       1065.09&          0.86\\
27&        952.28&          1.64&        971.17&          1.09&        992.43&          0.95&       1014.28&          0.73&       1039.24&          0.55&       1063.09&          0.55&       1105.62&          0.92\\
28&        980.15&          1.47&       1000.22&          1.27&       1026.48&          1.08&       1051.18&          0.80&       1082.11&          0.67&       1109.78&          0.57&       1154.29&          0.93\\
\hline
\end{tabular}}}}
\smallskip
Note -- All~$\dot{P}/P$ values are in units of~$10^{-16}$ s$^{-1}$.
\end{table}