\begin{table}%t3
%\centering
\par
\caption{\label{tab3}Summary of the results obtained for the thick disk population of microlenses towards the  LMC for the MACHO experiment with
         a thick disk age of 12~Gyr and several magnitude cuts.}
\begin{tabular}{lrrrrrrrrrrrrr}
\hline  \hline \noalign{\smallskip}
\multicolumn{1}{c} {\ } 
& \multicolumn{4}{c}{Canonical thick disk} 
& \multicolumn{4}{c}{Metal-weak thick disk}\\
\hline 
Magnitude                                          & 17.5    & 22.5    & 27.5    & 30.0    & 17.5    & 22.5    & 27.5    & 30.0    \\
\cline{2-5}
\cline{6-9}
$\langle N_{\rm WD}\rangle$                        & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ \\
$\langle N_{\rm RD}\rangle$                        & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ \\ 
$\langle m_{\rm WD}\rangle$ $(M/M_{\sun})$         & 0.616   & 0.615   & 0.588   & 0.593   & 0.617   & 0.613   & 0.650   & 0.709   \\
$\langle m_{\rm RD}\rangle$ $(M/M_{\sun})$         & 0.371   & 0.221   & 0.111   & 0.085   & 0.384   & 0.269   & 0.091   & 0.079   \\ 
$\langle \eta  \rangle$                            & 0.348   & 0.348   & 0.443   & 0.999   & 0.431   & 0.452   & 0.947   & 0.999   \\  
$\langle\mu\rangle\;(''~{\rm yr}^{-1})$           & 0.005   & 0.004   & 0.003   & 0.002   & 0.009   & 0.008   & 0.007   & 0.001   \\  
$\langle d\rangle$ (kpc)                           & 3.42    & 4.07    & 5.11    & 5.17    & 1.75    & 2.04    & 2.29    & 1.39    \\ 
$\langle V_{\rm  tan}\rangle\;({\rm km~s}^{-1})$  & 82      & 84      & 78      & 82      & 79      & 84      & 77      & 69      \\ 
$\langle\hat{t}_{\rm E}\rangle $ (d)               & 156     & 173     & 204     & 186     & 125     & 122     & 136     & 121     \\
$\langle\tau/\tau_0 \rangle$                       & 0.462   & 0.274   & 0.137   & 0.012   & 0.257   & 0.203   & 0.050   & 0.020   \\ 
\hline
\end{tabular}
\end{table}