\begin{table}%t7
\caption{Mode-identification results for HD~49434 from the IPS Method (top) and the Moment Method (bottom).}\label{IPStable}
%\centering
\small
\begin{tabular}{ccccc} 
\hline \hline
 Frequency & $\Delta \Psi_f$ & $\Delta \Psi_{2f}$ & $\ell \in$ & $|m| \in$  \\
 (\cd) &  ($\pi$ rad)  & ($\pi$ rad) & & \\ 
 \hline
$1.4831$ & $5.0$ & $6.0$ & $[4,6] $ & $[0,4] $ \\
$5.3311$ & $7.0$ & $6.5 $ & $[6,8] $ & $[0,4] $ \\
$9.3070$ & $5.0$ & $7.0$ & $[4,6]$ & $[0,4] $ \\ 
\hline
$7.6841 (6.6841)$ & $3.5$ & $7.5$ & $[3,5] $ & $[0,4] $ \\
$10.1527 (9.1527)$& $6.5$ & $\sim$$6$ & $[6,8] $ & $[0,4] $ \\
$12.0332 (11.0332)$& $6.5$ & $3.5 $ & $[6,8] $ & $[0,2] $ \\ 
\hline
 $1.2732$  &  \ldots  & \ldots & $[5,7]$  & $0 < |m| \leq l$ \\ 
 \hline
\end{tabular}
\end{table}