\begin{table}%t2
%\centering
 \caption{Comparison between numerical and theoretical first order
   eigenvalues ($\E^{1/2} \lambda^1$).  The two sets of numerical values
   (Cols.~2 and~3) are based on the numerical eigenspectrum given in
   Fig.~\ref{fig:spectre_tor} and are calculated using a least square method. 
   These values should be very close to each other.  The last column is based
   on Eq.~(\ref{eq:tor.eigenvalues}).}
   \label{table:first.order.comparison}
      \begin{tabular}{cccc}
         \hline\hline
         \noalign{\smallskip}
         $n$                              &
         $\mbox{Num.}(\E^{1/2} \tau^1)$   &  
         $\mbox{Num.}(\E^{1/2} \omega^1)$ &  
         $\mbox{Theo.}$         \\
         \noalign{\smallskip}
         \hline
         \noalign{\smallskip}
         0 & $-$0.0690 & $-$0.0685 & $-$0.0688 \\
         1 & $-$0.1224 & $-$0.1237 & $-$0.1239 \\
         2 & $-$0.1601 & $-$0.1608 & $-$0.1608 \\
         3 & $-$0.1907 & $-$0.1910 & $-$0.1910 \\
         4 & $-$0.2171 & $-$0.2173 & $-$0.2172 \\
         5 & $-$0.2406 & $-$0.2406 & $-$0.2407 \\
         6 & $-$0.2621 & $-$0.2624 & $-$0.2621 \\
         7 & $-$0.2822 & $-$0.2819 & $-$0.2820 \\
         \hline
      \end{tabular}
\end{table}