\begin{table}%t5 %\centering \par \caption {\label{tab_vr}Number counts, field to field variance calculated with the correlation function both in blank and lensing fields, for $z = 6$, 7 and~8 within a $6\arcmin \times 6\arcmin$ FOV, for a shallow survey with ${\rm AB}\le25.5$.} %\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} \\ \hline \multicolumn{1}{c}{$z_{\rm s}$} & \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 & $8.63^{\rm +0.86}_{-0.76}$ & $5.66^{\rm +0.62}_{-0.59}$ & $3.83^{\rm +0.47}_{-0.44}$ & $6.69^{\rm +0.61}_{-0.58}$ & $4.00^{\rm +0.42}_{-0.39}$ & $2.48^{\rm +0.29}_{-0.27}$ & $7.07^{\rm +0.65}_{-0.61}$ & $4.27^{\rm +0.44}_{-0.41}$ & $2.66^{\rm +0.31}_{-0.29}$ \\ & & & & & & & & & & & & \\ $v_{r}$ & 58\% & 75\% & 97\% & $47^{\rm +1}_{-1}$\% & $56^{\rm +2}_{-2}$\% & $66^{\rm +3}_{-3}$\% & $51^{\rm +1}_{-1}$\% & $63^{\rm +2}_{-2}$\% & $77^{\rm +3}_{-3}$\% & $50^{\rm +1}_{-1}$\% & $62^{\rm +2}_{-2}$\% & $75^{\rm +3}_{-3}$\% \\ & & & & & & & & & & & & \\ & & & & & & & & & & & & \\ LF (b)& 1.30 & 0.39 & 0.13 & $10.07^{\rm +1.808}_{-1.608}$ & $5.66^{\rm +1.24}_{-1.08}$ & $3.53^{\rm +0.89}_{-0.75}$ & $4.69^{\rm +0.78}_{-0.69}$ & $2.21^{\rm +0.47}_{-0.41}$ & $1.23^{\rm +0.30}_{-0.25}$ & $4.96^{\rm +0.80}_{-0.71}$ & $2.35^{\rm +0.47}_{-0.41}$ & $1.28^{\rm +0.30}_{-0.25}$ \\ & & & & & & & & & & & & \\ $v_{r}$ & 96\% & 165\% & 283\%& $45^{\rm +2}_{-2}$\% & $56^{\rm +4}_{-4}$\% & $68^{\rm +5}_{-6}$\% & $60^{\rm +3}_{-3}$\% & $79^{\rm +6}_{-7}$\% & $101^{\rm +9}_{-10}$\%& $57^{\rm +4}_{-4}$\% & $77^{\rm +6}_{-6}$\% & $100^{\rm +8}_{-9}$\% \\ & & & & & & & & & & & & \\ & & & & & & & & & & & & \\ LF (c)& 1.30 & 0.07 & $<0.01$ & $10.07^{\rm +1.808}_{-1.608}$ & $3.08^{\rm +0.84}_{-0.71}$ & $0.96^{\rm +0.38}_{-0.29}$ & $4.69^{\rm +0.78}_{-0.69}$ & $1.04^{\rm +0.27}_{-0.23}$ & $0.28^{\rm +0.10}_{-0.08}$ & $4.96^{\rm +0.80}_{-0.71}$ & $1.03^{\rm +0.26}_{-0.22}$ & $0.24^{\rm +0.09}_{-0.07}$\\ & & & & & & & & & & & & \\ $v_{r}$ & 96\% & 383\% & \_ & $45^{\rm +2}_{-2}$\% & $70^{\rm +6}_{-7}$\% & $113^{\rm +17}_{-16}$\% & $60^{\rm +3}_{-3}$\% & $108^{\rm +12}_{-10}$\% & $197^{\rm +39}_{-25}$\% & $57^{\rm +4}_{-4}$\% & $108^{\rm +12}_{-10}$\% & $211^{\rm +38}_{-29}$\% \\ \hline \end{tabular}} \tablefoot{Field to field variance in lensing fields includes $1-\sigma$ magnification errors.} \end{table}