\begin{table}%T4
\caption{\label{tab4}Periods and  relative rates of period change 
($\ell= 1$ modes) 
for selected models with~$M_*= 0.60~M_{\odot}$ and 
$M_{\rm He}= 1 \times  10^{-4}~M_*$.}
{{%\centerline
{
\begin{tabular}{c|cc|cc|cc|cc|cc|cc|cc}
\hline
\hline
\multicolumn{1}{c|}{} & 
\multicolumn{2}{c|}{$T_{\rm eff}= 27~956$  K} & 
\multicolumn{2}{c|}{26~901 K} &
\multicolumn{2}{c|}{25~907 K} & 
\multicolumn{2}{c|}{24~969 K} &
\multicolumn{2}{c|}{24~086 K} & 
\multicolumn{2}{c|}{23~095 K} &
\multicolumn{2}{c}{22~021 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&        128.01&          6.60&        131.90&          5.43&        135.85&          4.42&        139.85&          3.56&        143.90&          2.84&        148.82&          2.18&        154.65&          1.62\\
 2&        165.08&          4.84&        168.74&          3.99&        172.45&          3.27&        176.21&          2.65&        180.02&          2.14&        184.64&          1.64&        190.08&          1.23\\
 3&        196.61&          4.98&        201.14&          4.18&        205.84&          3.48&        210.68&          2.87&        215.66&          2.34&        221.74&          1.80&        228.90&          1.33\\
 4&        235.43&          5.20&        241.07&          4.32&        246.82&          3.54&        252.65&          2.86&        258.49&          2.27&        265.43&          1.69&        273.34&          1.21\\
 5&        276.42&          5.28&        283.08&          4.31&        289.75&          3.47&        296.38&          2.75&        302.94&          2.17&        310.74&          1.63&        319.88&          1.22\\
 6&        310.29&          4.75&        316.96&          3.86&        323.68&          3.14&        330.44&          2.53&        337.28&          2.05&        345.66&          1.60&        355.69&          1.21\\
 7&        350.48&          4.94&        358.32&          3.98&        366.00&          3.14&        373.48&          2.44&        380.66&          1.86&        388.78&          1.32&        397.58&          0.92\\
 8&        392.79&          4.81&        401.05&          3.68&        408.79&          2.77&        416.04&          2.10&        423.03&          1.65&        431.50&          1.31&        442.12&          1.06\\
 9&        424.64&          3.58&        431.67&          3.04&        439.23&          2.70&        447.61&          2.41&        456.84&          2.10&        468.89&          1.73&        483.91&          1.35\\
10&        456.90&          4.14&        465.85&          3.61&        475.36&          3.08&        485.36&          2.58&        495.77&          2.14&        508.55&          1.65&        523.18&          1.17\\
11&        492.46&          4.54&        503.00&          3.93&        514.11&          3.31&        525.56&          2.71&        536.96&          2.11&        549.83&          1.46&        563.35&          1.01\\
12&        532.52&          4.74&        544.15&          3.93&        555.70&          3.08&        566.51&          2.26&        576.14&          1.60&        586.75&          1.19&        600.74&          1.10\\
13&        575.36&          5.07&        587.85&          3.70&        598.60&          2.51&        607.87&          1.83&        617.27&          1.61&        630.47&          1.46&        648.41&          1.26\\
14&        605.50&          4.33&        616.96&          3.35&        628.59&          2.90&        641.70&          2.65&        656.35&          2.31&        674.87&          1.80&        696.15&          1.32\\
15&        640.04&          3.14&        649.90&          2.97&        661.76&          2.89&        675.45&          2.59&        689.99&          2.13&        706.97&          1.51&        726.02&          1.22\\
16&        678.49&          4.30&        692.81&          3.95&        708.19&          3.31&        723.29&          2.49&        736.56&          1.69&        749.71&          1.10&        767.53&          1.24\\
17&        716.50&          5.11&        733.51&          4.26&        750.04&          3.20&        764.58&          2.19&        777.50&          1.67&        794.51&          1.50&        818.67&          1.45\\
18&        755.05&          5.10&        771.67&          3.75&        785.91&          2.55&        799.06&          2.11&        814.39&          2.04&        835.69&          1.71&        862.65&          1.48\\
19&        788.57&          4.54&        803.40&          3.20&        817.64&          2.75&        834.31&          2.62&        853.05&          2.25&        875.60&          1.63&        901.48&          1.42\\
20&        825.12&          3.06&        837.40&          2.94&        853.36&          3.07&        872.03&          2.72&        890.97&          2.08&        911.30&          1.37&        937.25&          1.49\\
21&        865.39&          3.91&        882.86&          3.86&        902.12&          3.23&        920.33&          2.29&        935.32&          1.49&        952.37&          1.28&        980.51&          1.56\\
22&        901.73&          5.28&        924.05&          4.45&        945.61&          3.27&        963.81&          2.14&        980.44&          1.78&       1003.48&          1.57&       1035.34&          1.58\\
23&        934.95&          5.08&        956.02&          3.91&        974.90&          2.78&        993.43&          2.45&       1015.47&          2.31&       1044.50&          1.82&       1079.78&          1.60\\
24&        977.94&          4.74&        996.39&          3.03&       1012.01&          2.40&       1030.75&          2.45&       1052.67&          2.14&       1078.27&          1.47&       1110.15&          1.59\\
\hline
\end{tabular}}}}
\smallskip
Note -- All~$\dot{P}/P$ values are in units of~$10^{-16}$ s$^{-1}$.
\end{table}