\begin{table}%t1 \caption{\label{tab:first_tests}Description of the observed'' frequencies and parameters/results from the mode identification scheme.} %\centerline {\small \begin{tabular}{ccccccc} \hline \hline\noalign{\smallskip} & \multicolumn{3}{c}{\dotfill Observed'' frequencies \dotfill} & \multicolumn{3}{c}{\dotfill Mode identification \dotfill} \\ Case & Type & $\displaystyle \frac{\delta \omega}{\Delta_{\tilde{n}}}$ & $\tilde{n}$ & $\tilde{n}$ & Average success & $\displaystyle \frac{\delta \omega}{\Delta_{\tilde{n}}}$ \\ \noalign{\smallskip}\hline\noalign{\smallskip} 1 & Asymptotic & 0 & 10--25 & 10--25 & 77.4 \% & $3.7 \times 10^{-3}$ \\ 2 & Numerical & $2.4 \times 10^{-2}$ & 15--20 & 10--25 & 17.5 \% & $1.2 \times 10^{-2}$ \\ 3 & Random & -- & -- & 10--25 & --& $2.1 \times 10^{-2}$ \\ 4 & Numerical & $2.8 \times 10^{-3}$ & 45--50 & 40--55 & 65.9 \% & $5.4 \times 10^{-3}$ \\ 5 & Numerical & $7.9 \times 10^{-3}$ & 40--55 & 35--60 & 73.9 \% & $7.3 \times 10^{-3}$ \\ \hline \end{tabular}} \medskip Characteristics of the observed'' frequency spectra (Cols.~2--4), of the $\tilde{n}$ values used in the mode identification scheme (Col.~5) and of the results (Cols.~6--7). The observed frequencies from cases~2, 4 and 5 come from a $25~M_\odot$ model, uniformly rotating at $60\%$ of the critical rotation rate. %\vspace*{3mm} \end{table}