\begin{table}%t4
\par
\caption{\label{c2dfits}MLE fits to the distribution of projected radii of the three cartesian
  stacked cones.}
\small%\centering
\par
\begin{tabular}{llcclcclcccl}
\hline\hline\noalign{\smallskip}
Model & $R_{\rm max}$ & Vel. cut & \multicolumn{2}{c}{No bg} & &
\multicolumn{2}{c}{Fixed bg} & & \multicolumn{3}{c}{Free bg} \\ 
 \cline{4-5}
 \cline{7-8}
 \cline{10-12}
 \noalign{\smallskip}
& & & $c_{\rm 2D}$ & $P_{\rm KS}$ & &  $c_{\rm 2D}$ & $P_{\rm KS}$ & &
$100~\hat\Sigma_{\rm bg}$ \ ($\sigma(\log\hat\Sigma_{\rm bg})$) & $c_{\rm
  2D}$ & $P_{\rm KS}$ \\
(1) & (2) & (3) & (4) & (5) & & (6) & (7) & & (8) & (9) & (10)\\
\hline\\[-3.25mm]
NFW    &1&N&3.46~$\pm$~0.04~$\pm$~0.21&  $<$$10^{-5}$&&4.06~$\pm$~0.05~$\pm$~0.26&      0.18&&2.4 \ (0.20)&3.95~$\pm$~0.05~$\pm$~0.03&      0.08\\ 
NFW    &1&Y&3.84~$\pm$~0.05~$\pm$~0.19&     0.059&&4.10~$\pm$~0.05~$\pm$~0.21&      0.19&&1.0 \ (0.07)&4.06~$\pm$~0.11~$\pm$~0.17&       0.2\\ 
Einasto&1&N&3.30~$\pm$~0.04~$\pm$~0.21&   0.00053&&3.90~$\pm$~0.05~$\pm$~0.25&      0.46&&2.6 \ (0.18)&3.83~$\pm$~0.05~$\pm$~0.08&      0.27\\ 
Einasto&1&Y&3.70~$\pm$~0.04~$\pm$~0.18&      0.32&&3.96~$\pm$~0.05~$\pm$~0.20&      0.42&&0.8 \ (0.01)&3.87~$\pm$~0.12~$\pm$~0.19&      0.65\\ 
NFW    &1.35&N&3.21~$\pm$~0.03~$\pm$~0.24&   $<$$10^{-14}$&&4.07~$\pm$~0.05~$\pm$~0.31&      0.11&&2.9 \ (0.08)&4.06~$\pm$~0.07~$\pm$~0.15&      0.25\\ 
NFW    &1.35&Y&3.78~$\pm$~0.04~$\pm$~0.23&     0.052&&4.19~$\pm$~0.05~$\pm$~0.26&      0.06&&0.5 \ (0.29)&3.96~$\pm$~0.07~$\pm$~0.16&      0.22\\ 
Einasto&1.35&N&3.00~$\pm$~0.03~$\pm$~0.22&   $<$$10^{-13}$&&3.83~$\pm$~0.04~$\pm$~0.28&      0.32&&3.3 \ (0.08)&3.95~$\pm$~0.06~$\pm$~0.16&      0.52\\ 
Einasto&1.35&Y&3.59~$\pm$~0.04~$\pm$~0.20&      0.04&&3.98~$\pm$~0.04~$\pm$~0.22&      0.46&&0.9 \ (0.10)&3.89~$\pm$~0.08~$\pm$~0.17&      0.73\\ 
NFW    &3&N&1.67~$\pm$~0.01~$\pm$~0.16&         0&&3.82~$\pm$~0.04~$\pm$~0.37&         0&&3.8 \ (0.03)&4.42~$\pm$~0.04~$\pm$~0.45& $<$$10^{-6}$\\ 
NFW    &3&Y&3.06~$\pm$~0.02~$\pm$~0.12&         0&&4.31~$\pm$~0.04~$\pm$~0.17&  $<$$10^{-9}$&&1.2 \ (0.12)&4.34~$\pm$~0.05~$\pm$~0.38& 0.00003\\ 
Einasto&3&N&1.42~$\pm$~0.01~$\pm$~0.12&         0&&3.19~$\pm$~0.03~$\pm$~0.34&         0&&4.3 \ (0.05)&4.15~$\pm$~0.03~$\pm$~0.67&  0.00003\\ 
Einasto&3&Y&2.65~$\pm$~0.02~$\pm$~0.10&         0&&3.75~$\pm$~0.03~$\pm$~0.12&  $<$$10^{-13}$&&1.5 \ (0.03)&4.02~$\pm$~0.01~$\pm$~0.12&   0.00055\\ 
\hline
\end{tabular}
\tablefoot{Column~1: model (NFW or $m=5$ Einasto); 
Col.~2 ($R_{\rm max}$): projected radius of the cone in which the stacked
cluster is built, in units of $r_{200}$;
Col.~3 ($v$-cut): presence (Y) or absence of the velocity cut with
$\kappa=2.7$ (NFW) or 2.6 (Einasto);
Cols.~4$-$5, 6$-$7, 9$-$10: mean best-fit concentration  ($c=r_{200}/r_{-2}$) from
projected radii and probability that distribution of projected radii is
consistent with model using a Kolmogorov-Smirnov test ($P_{\rm KS}$), for
fits without a background (Cols.~4 and~5), with a fixed background
($\hat\Sigma_{\rm bg} = 0.0286$ (no velocity cut) or 0.0126 (with velocity cut), Cols.~6 and~7) or a free
background (Cols.~9 and~10), with best-fit value (100 times the geometric mean and error on its
logarithm in parentheses) given in Col.~8. 
The minimum projected radius is set to $0.03~r_{200}$.
For the Einasto model, we adopt
the approximation to the surface density and projected number (mass) profiles
given in Appendix~\ref{appsdensEinasto}. 
The errors
on $c$ are statistical (first) and a measure of the cosmic variance
term estimated by the gapper (\citealp{WT76}, see
\citealp{BFG90}) standard deviation of the MLE values for the three projection axes.}
\end{table}