\begin{table}%t2 %\centering \par \caption{\label{table1}Observed and theoretical ($\ell=1$) periods of the best-fit model for PG~2131+066 ($M_*= 0.589~M_{\odot}$, $T_{\rm eff}= 102~179$~K, $\log(L_*/L_{\odot})= 1.57$). Periods are in seconds and rates of period change (theoretical) are in units of $10^{-12}$~s/s. The observed periods are taken from Kawaler et~al. (\cite{Kawaler95}).} \begin{tabular}{ccccc} \hline \hline\\[-3.2mm] $\Pi_i^{\rm O}$ & $\Pi_k^{\rm T}$ & $k$ & $\dot{\Pi}^{\rm T}_k$ & Unstable\\[-3.2mm]\\ \hline $ 341.45 $ & $341.88 $ & 14 & $2.04 $ & yes \\ --- & $363.66 $ & 15 & $3.90 $ & yes \\ $ 384.27 $ & $383.94 $ & 16 & $2.60 $ & yes \\ $ 403.93 $ & $403.30 $ & 17 & $3.30 $ & yes \\ $ 426.36 $ & $426.48 $ & 18 & $4.14 $ & yes \\ $ 450.28 $ & $445.31 $ & 19 & $2.89 $ & yes \\ $ 462.39 $ & $465.91 $ & 20 & $4.53 $ & yes \\ --- & $488.81 $ & 21 & $4.11 $ & no \\ $ 507.91 $ & $507.91 $ & 22 & $3.79 $ & no \\ \hline \end{tabular} \end{table}