\begin{table}%t1
\caption{Parameters for the asymptotic formula Eq.~(\ref{eq:asymptotic}).}
\label{tab:asymptotic}
%\centerline
{
\begin{tabular}{*{11}{c}}
\hline
\hline\noalign{\smallskip}
$\displaystyle \frac{M}{M_{\odot}}$ & 
$\eta$ &
$\alpha$ &
$N_{{\rm modes}}$ &
$\begin{array}{c} \displaystyle \Delta_{\tilde{n}} \\ (\mu{\rm Hz}) \end{array}$ & 
$\displaystyle \frac{\Delta_{\tilde{\l}}}{\Delta_{\tilde{n}}}$ &
$\displaystyle \frac{\Delta_{\tilde{m}}}{\Delta_{\tilde{n}}}$ &
$\displaystyle \frac{\tilde{\alpha}}{\Delta_{\tilde{n}}}$ &
$\displaystyle \frac{\Omega_{{\rm fit}}}{\Delta_{\tilde{n}}}$  &
$\displaystyle \frac{\Omega_{{\rm real}}}{\Delta_{\tilde{n}}}$  &
$\displaystyle \frac{\left< \delta \omega^2 \right>^{1/2}}{\Delta_{\tilde{n}}}$ \\
\noalign{\smallskip}\hline\noalign{\smallskip}
poly$^{\star}$ & 0.6 & 0.0 & 84 & 36.7 & 0.66 & 0.029 & 2.92 & 0.827 & 0.838 & 0.047 \\
           1.7 & 0.7 & 0.0 & 40 & 37.1 & 0.77 & 0.018 & 3.52 & 0.975 & 0.982 & 0.023 \\
           1.8 & 0.9 & 0.0 & 11 & 33.5 & 0.42 & 0.011 & 2.86 & 1.157 & 1.167 & 0.038 \\
          25.0 & 0.6 & 0.0 & 39 & 15.2 & 0.79 & 0.016 & 3.39 & 0.947 & 0.969 & 0.030 \\
          25.0 & 0.6 & 0.2 & 31 & 15.1 & 0.85 & 0.018 & 3.63 & 0.944 & 0.947-0.987 & 0.045 \\
          25.0 & 0.6 & 0.4 & 31 & 15.5 & 0.90 & 0.050 & 3.37 & 0.915 & 0.830-0.988 & 0.059 \\
          25.0 & 0.9 & 0.0 & 24 & 12.4 & 0.70 &-0.002 & 3.41 & 1.380 & 1.387 & 0.033 \\ 
\hline
\end{tabular}}
\medskip
\par
Values of the different parameters from Eq.~(\ref{eq:asymptotic}) for
selected SCF models as well as for a polytropic model (first line).  The first
three columns identify the model, where $\eta$ and $\alpha$ come from
Eq.~(\ref{eq:rotation}).  The parameters (Cols. 5--9) were based on a sparse mode set (the
number of modes being indicated by $N_{{\rm mode}}$) and are therefore subject
to error.  The last column contains the average deviation between asymptotic
frequencies based on Eq.~(\ref{eq:asymptotic}) and the numerical frequencies.\\
$^\star$ Polytropic model with $N = 3$, $M = 1.7~M_{\odot}$ and $\Req = 1.84~R_{\odot}$.  These are also the mass and equatorial radius of the model on the next line. 
\end{table}