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Table 4:

Predicted number of submm ($850~\mu$m) arcs produced by SMGs for an all-sky survey, using all the synthetic cluster population to compute the optical depths (see Fig. 9).
$B_{850~\mu{\rm m}}^{~(1)}$ $\rm 5~mJy~arcsec^{-2}$ $\rm 1~mJy~arcsec^{-2}$ $\rm0.5~mJy~arcsec^{-2}$ $\rm0.1~mJy~arcsec^{-2}$
d0 (2) 7.5 10 7.5 10 7.5 10 7.5 10
SPZ DB (3) 575 250 3792 1650 8275 3600 50 767 22 075
PHZ DB (3) 550 233 3575 1533 7800 3342 47 892 20 517
CHM DB (3) 1142 517 7425 3325 16 200 7267 99 458 44 592
SPZ SM (3) 542 233 2208 958 3567 1550 9658 4200
PHZ SM (3) 508 217 2083 892 3367 1442 9117 3900
CHM SM (3) 1058 475 4317 1933 6992 3133 1058 475

(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. 3 and 6.


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