\begin{table}%t3 %\centering \par \caption {\label{tab_lens_blank}Total number of objects expected within a $6\arcmin \times 6\arcmin$ FOV (up to $H_{\rm AB}\le 25.5$, $\Delta z=1$) from the three LF adopted in these simulations. } %\centerline { \begin{tabular}{cc c cc c cc c cc c c} \hline\hline \noalign{\smallskip} \multicolumn{1}{c}{} & \multicolumn{3}{c}{Blank field} & \multicolumn{9}{c}{Lensed field}\\ \cline{5-13} \multicolumn{1}{c}{} & \multicolumn{3}{c}{} & \multicolumn{3}{c}{A1689} & \multicolumn{3}{c}{A1835} & \multicolumn{3}{c}{AC114} \\ \multicolumn{1}{c}{} & \multicolumn{3}{c}{} & \multicolumn{3}{c}{$z_{\rm c}=0.184$} & \multicolumn{3}{c}{$z_{\rm c}=0.253$} & \multicolumn{3}{c}{$z_{\rm c}=0.310$} \\ \hline \multicolumn{1}{c}{$z$} & \multicolumn{1}{c}{$6$} & \multicolumn{1}{c}{$7$} & \multicolumn{1}{c}{$8$} & \multicolumn{1}{c}{$6$} & \multicolumn{1}{c}{$7$} & \multicolumn{1}{c}{$8$} & \multicolumn{1}{c}{$6$} & \multicolumn{1}{c}{$7$} & \multicolumn{1}{c}{$8$} & \multicolumn{1}{c}{$6$} & \multicolumn{1}{c}{$7$} & \multicolumn{1}{c}{$8$} \\ LF (a) & 4.61 & 2.43 & 1.31 & $8.63^{\rm +0.86}_{-0.76}$ & $5.66^{\rm +0.62}_{-0.59}$ & $3.83^{\rm +0.47}_{-0.44}$ & $6.69^{\rm +0.61}_{-0.58}$ & $4.00^{\rm +0.42}_{-0.39}$ & $2.48^{\rm +0.29}_{-0.27}$ & $7.07^{\rm +0.65}_{-0.61}$ & $4.27^{\rm +0.44}_{-0.41}$ & $2.66^{\rm +0.31}_{-0.29}$ \\ LF (b) & 1.30 & 0.39 & 0.13 & $10.07^{\rm +1.808}_{-1.608}$ & $5.66^{\rm +1.24}_{-1.08}$ & $3.53^{\rm +0.89}_{-0.75}$ & $4.69^{\rm +0.78}_{-0.69}$ & $2.21^{\rm +0.47}_{-0.41}$ & $1.23^{\rm +0.30}_{-0.25}$ & $4.96^{\rm +0.80}_{-0.71}$ & $2.35^{\rm +0.47}_{-0.41}$ & $1.28^{\rm +0.30}_{-0.25}$ \\ LF (c) & 1.30 & 0.07 & $<$$0.01$ & $10.07^{\rm +1.808}_{-1.608}$ & $3.08^{\rm +0.84}_{-0.71}$ & $0.96^{\rm +0.38}_{-0.29}$ & $4.69^{\rm +0.78}_{-0.69}$ & $1.04^{\rm +0.27}_{-0.23}$ & $0.28^{\rm +0.10}_{-0.08}$ & $4.96^{\rm +0.80}_{-0.71}$ & $1.03^{\rm +0.26}_{-0.22}$ & $0.24^{\rm +0.09}_{-0.07}$\\ \hline \end{tabular}} \tablefoot {Uncertainties correspond to $1-\sigma$~level in magnification and lensing modeling.} \par \end{table}