\begin{table} \caption{\label{arcs_radio_massive}Predicted number of radio (1.4~GHz) 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|cc|cc} \hline\hline &&&&&&&&&&&& \\[-8pt] $B_{1.4~{\rm GHz}}^{~(1)}$ & \multicolumn{2}{c|}{$\rm 500~\mu Jy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 100~\mu Jy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 50~\mu Jy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 10~\mu Jy~arcsec^{-2}$} & \multicolumn{2}{c|}{$\rm 5~\mu Jy~arcsec^{-2}$} & \multicolumn{2}{c}{$\rm 1~\mu Jy~arcsec^{-2}$} \\ $d_{0}^{~(2)}$ & $7.5$ & $10$ & $7.5$ & $10$ & $7.5$ & $10$ & $7.5$ & $10$ & $7.5$ & $10$ & $7.5$ & $10$ \\ &&&&&&&&&&&& \\[-8pt] \hline &&&&&&&&&&&& \\[-8pt] SPZ DB$^{~(3)}$ &0 (0) &0 (0) &17 (8) &8 (0) &42 (17) &17 (8) &267 (125) &92 (42) &592 (267) &200 (92) &3542 (1633) &1192 (550) \\ PHZ DB$^{~(3)}$ &0 (0) &0 (0) &17 (8) &8 (0) &42 (17) &17 (8) &283 (133) &92 (42) &625 (283) &208 (92) &3758 (1733) &1267 (583) \\ CHM DB$^{~(3)}$ &0 (0) &0 (0) &25 (8) &8 (0) &50 (25) &17 (8) &325 (150) &108 (50) &725 (325) &242 (108) &4350 (2008) &1475 (683) \\ \hline &&&&&&&&&&&& \\[-8pt] SPZ SM$^{~(3)}$ &0 (0) &0 (0) &17 (8) &8 (0) &33 (17) &8 (8) &117 (75) &42 (25) &183 (117) &58 (42) &458 (308) &158 (108) \\ PHZ SM$^{~(3)}$ &0 (0) &0 (0) &17 (8) &8 (0) &33 (17) &8 (8) &125 (75) &42 (25) &192 (125) &67 (42) &492 (333) &167 (108) \\ CHM SM$^{~(3)}$ &0 (0) &0 (0) &25 (8) &8 (0) &42 (25) &17 (8) &142 (83) &50 (33) &225 (142) &75 (50) &567 (383) &192 (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}. \\ Values with and without brackets correspond to $S_{850~\mu{\rm m}} / S_{1.4~{\rm GHz}}=100$ and~$50$, respectively. \end{table}