\begin{table}%t5
\addtocounter{table}{+1}
\caption{Results of King's empirical profile fitting to the radial surface
density distribution. Columns~1 and~2
give the  $V$~magnitude ranges and the corresponding mass
ranges; Col.~3 the fitted normalization constant, Col.~4 the assumed
tidal radius, Col.~5 the fitted core radius, Col.~6  the~$\chi^2$ of the
fitting. Finally, Col.~7  lists the number of counted cluster members
in our investigated
region for each magnitude subset, while Cols.~8 and~9 are the total number of
cluster members predicted by the fitted model
within the investigated radius ($\sim$$3.7$~parsec) and 
the tidal radius, respectively. 
The values are given for each of the four step of the adopted iterative procedure.}
%\centering
\par
\begin{tabular}{ccccccccc}
\hline
\hline
$\Delta V$ & $M$&$\rho_0  $&$r_{\rm t}$&$r_{\rm c}$ & $\chi^2$ &$N_{\rm sur}^{\rm cl} $&
$N_{\rm sur}^{\rm cal} $& $N_{\rm tid}$\\  
&$(M_\odot)$&$({\rm stars/arcmin}^2)$&(pc)&(pc)&&&&\\
\hline
&&&ITERATION 0&&&&&\\
\hline
~8.50--11.13  &3.7--1.7& $0.21 \pm 0.10 $ &$10.36$&$ 0.59  \pm 0.22 $  & 4.2 & 34& 29 &33 \\
11.13--13.75  &1.7--1.0& $0.22 \pm 0.13 $ &$10.36$&$ 1.34  \pm 0.46 $  & 8.5 & 88& 76 &95 \\
13.75--16.38  &1.0--0.7& $0.27 \pm 0.24 $ &$10.36$&$ 1.49  \pm 0.73 $  & 1.3 &106&101 &129\\
16.38--19.00  &0.7--0.4& $0.22 \pm 0.26 $ &$10.36$&$ 2.66  \pm 1.48 $  & 2.5 &119&111 &164\\
\hline
&&&ITERATION 1&&&&&\\
\hline
~8.50--11.13  &3.7--1.7& $0.21 \pm 0.10 $ &$10.57$&$ 0.62  \pm 0.23 $ & 4.0& 35& 30& 34 \\
11.13--13.75  &1.7--1.0& $0.23 \pm 0.13 $ &$10.57$&$ 1.36  \pm 0.44 $ & 8.7& 93& 81&103 \\
13.75--16.38  &1.0--0.7& $0.27 \pm 0.24 $ &$10.57$&$ 1.55  \pm 0.74 $ & 1.3&113&108&140 \\
16.38--19.00  &0.7--0.4& $0.24 \pm 0.25 $ &$10.57$&$ 2.65  \pm 1.30 $ & 2.5&134&124&185 \\
\hline
&&&ITERATION 2&&&&& \\
\hline
~8.50--11.13  &3.7--1.7&$0.21 \pm 0.10 $ &$10.60$&$0.62  \pm 0.23 $  & 3.9& 35& 30&35\\
11.13--13.75  &1.7--1.0&$0.22 \pm 0.12 $ &$10.60$&$1.40  \pm 0.45 $  & 8.7& 94& 80&102\\
13.75--16.38  &1.0--0.7&$0.27 \pm 0.24 $ &$10.60$&$1.58  \pm 0.76 $  & 1.3&115&109&142\\
16.38--19.00  &0.7--0.4&$0.24 \pm 0.26 $ &$10.60$&$2.78  \pm 1.41 $  & 2.4&136&125&191 \\
\hline
&&&ITERATION 3&&&&& \\
\hline
~8.50--11.13  &3.7--1.7&$0.21 \pm 0.10 $ &$10.61$&$0.62  \pm 0.23 $  & 3.9& 35& 30&35\\
11.13--13.75  &1.7--1.0&$0.22 \pm 0.12 $ &$10.61$&$1.39  \pm 0.47 $  & 8.7& 94& 80&102\\
13.75--16.38  &1.0--0.7&$0.27 \pm 0.24 $ &$10.61$&$1.58  \pm 0.75 $  & 1.3&115&109&142\\
16.38--19.00  &0.7--0.4&$0.24 \pm 0.27 $ &$10.61$&$2.86  \pm 1.47 $  & 2.4&137&127&195 \\
\hline
\end{tabular}
\label{radist}
\end{table}