\begin{table}%t6%t7
\caption{\label{arcs_radio_all}Predicted number of radio (1.4~GHz) arcs produced by SMGs for an all-sky survey, using all the synthetic cluster population to compute the optical depths (see Fig.~\ref{fig:arcCounts}).}
\small%\centerline
 {
\begin{tabular}{@{\extracolsep{-1mm}}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$^{~(3)}$ &50  (8)   &25 (0)  &583  (233)   &250 (100)  &1333 (575)  &575  (250)   &8275 (3792)   &3600 (1650)  &18~283 (8275)  &7950  (3600)   &110~017 (50767)  &47~825 (22075)  \\
PHZ DB$^{~(3)}$ &50  (8)   &17 (0)  &550  (225)   &233 (92)   &1258 (550)  &542  (233)   &7800 (3575)   &3342 (1533)  &17~242 (7800)  &7383  (3342)   &103~783 (47892)  &44~450 (20517)  \\
CHM DB$^{~(3)}$ &100 (17)  &42 (8)  &1142 (458)   &517 (208)  &2608 (1142) &1167 (517)  &16~200 (7425)   &7267 (3325)  &35~808 (16200) &16~058 (7267)   &215~517 (99458)  &96~633 (44592)  \\
\hline
&&&&&&&&&&&& \\[-8pt]
SPZ SM$^{~(3)}$ &42 (8)  &17 (0)  &542  (225)   &233 (100)  &1058 (542)  &458 (233)  &3567 (2208)  &1550 (958)  &5608  (3567)   &2433 (1567)  &14~325 (9658)  &2394  (4200)  \\
PHZ SM$^{~(3)}$ &42 (8)  &17 (0)  &508  (208)   &217 (92)   &1000 (508)  &425 (217)  &3367 (2083)  &1442 (892)  &5292  (3367)   &2267 (1442)  &13~508 (9117)  &5783  (3900)  \\
CHM SM$^{~(3)}$ &83 (8)  &42 (8)  &1058 (442)   &475 (200)  &2075 (1058) &933 (475)  &6992 (4317)  &3133 (1933) &10~983 (6992)   &492  (3133)  &28~058 (18925) &12~583 (8483)  \\
\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}