\begin{table}%t5 \caption{\label{arcs_submm_massive}Predicted number of submm ($850~\mu$m) arcs produced by SMGs for an all-sky survey, using only clusters with $M \ge 5$~$\times$ $10^{14}~M_\odot~h^{-1}$ to compute the optical depths (see Fig.~\ref{fig:arcCounts_mass}).} \small%\centerline { \begin{tabular}{c|cc|cc|cc|cc} \hline\hline &&&&&&&& \\[-8pt] $B_{850~\mu{\rm m}}^{(1)}$ & \multicolumn{2}{c|}{$\rm 5~mJy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 1~mJy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 0.5~mJy~arcsec^{-2}$} & \multicolumn{2}{c}{$\rm 0.1~mJy~arcsec^{-2}$} \\ $d_{0}^{~(2)}$ & $7.5$ & $10$ & $7.5$ & $10$ & $7.5$ & $10$ & $7.5$ & $10$ \\ &&&&&&&& \\[-8pt] \hline &&&&&&&& \\[-8pt] SPZ DB$^{~(3)}$ &17 &8 &125 &42 &267 &92 &1633 &550 \\ PHZ DB$^{~(3)}$ &17 &8 &133 &42 &283 &92 &1733 &583 \\ CHM DB$^{~(3)}$ &25 &8 &150 &50 &325 &108 &2008 &683 \\ \hline &&&&&&&& \\[-8pt] SPZ SM$^{~(3)}$ &17 &8 &75 &25 &117 &42 &308 &108 \\ PHZ SM$^{~(3)}$ &17 &8 &75 &25 &125 &42 &333 &108 \\ CHM SM$^{~(3)}$ &25 &8 &83 &33 &142 &50 &383 &133 \\ \hline \end{tabular}} \medskip $^{(1)}$~Surface brightness limit used to determine the number of arcs; $^{(2)}$~arc length-to-width ratio thresholds; $^{(3)}$~redshift distribution and number count function, as introduced in Figs.~\ref{fig:zd} and~\ref{fig:cc}. \end{table}