\begin{table}%t1 %\centering \par \caption{\label{tab1}Summary of the results obtained for the entire population of microlenses towards the LMC for several magnitude cuts when the results of the MACHO collaboration are simulated. } \begin{tabular}{lrrrrrrrrrrrrr} \hline \hline \noalign {\smallskip} \multicolumn{1}{c} {\ } &\multicolumn{4}{c}{Model A} &\multicolumn{4}{c}{Model B} &\multicolumn{4}{c}{Model C}\\ \hline Magnitude & 17.5 & 22.5 & 27.5 &32.5 & 17.5 & 22.5 & 27.5 & 32.5 & 17.5 & 22.5 & 27.5 & 32.5 \\ \cline{2-5} \cline{6-9} \cline{10-13} $\langle N_{\rm WD}\rangle$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$\\ $\langle N_{\rm RD}\rangle$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$ & $0\pm1$\\ $\langle m_{\rm WD}\rangle$ $(M/M_{\sun})$ & 0.599 & 0.605 & 0.627 & 0.721 & 0.604 & 0.602 & 0.627 & 0.661 & 0.600 & 0.605 & 0.619 & 0.678 \\ $\langle m_{\rm RD}\rangle$ $(M/M_{\sun})$ & 0.325 & 0.233 & 0.109 & 0.081 & 0.319 & 0.227 & 0.118 & 0.080 & 0.315 & 0.227 & 0.124 & 0.079 \\ $\langle\eta\rangle$ & 0.204 & 0.227 & 0.323 & 0.837 & 0.810 & 0.834 & 0.927 & 0.993 & 0.780 & 0.828 & 0.913 & 0.987 \\ $\langle\mu\rangle\;(''~{\rm yr}^{-1})$ & 0.020 & 0.014 & 0.010 & 0.009 & 0.021 & 0.016 & 0.015 & 0.014 & 0.021 & 0.014 & 0.012 & 0.016 \\ $\langle d\rangle$ (kpc) & 2.54 & 3.62 & 5.28 & 5.26 & 2.29 & 3.28 & 3.49 & 3.88 & 2.37 & 3.71 & 4.09 & 3.02 \\ $\langle V_{\rm tan} \rangle\;({\rm km~s}^{-1})$ & 243 & 247 & 253 & 244 & 239 & 244 & 252 & 260 & 239 & 252 & 241 & 238 \\ $\langle\hat{t}_{\rm E}\rangle $ (d) & 41.3 & 49.6 & 59.0 & 60.7 & 39.1 & 45.3 & 47.7 & 60.9 & 40.1 & 45.6 & 52.1 & 65.5 \\ $\langle\tau/\tau_0\rangle$ & 0.331 & 0.271 & 0.194 & 0.098 & 0.316 & 0.257 & 0.179 & 0.109 & 0.321 & 0.266 & 0.174 & 0.115 \\ \hline \end{tabular} \tablefoot{An age of the halo of 14~Gyr has been adopted.} \end{table}