\begin{table}%T3 \caption{The fit to the C$-$M relation. Only objects within the blue rectangle of Fig.~\ref{fig:CM_ISAAC} are used in the fit.} \label{tab:CM_fit} %\centerline { \begin{tabular}{lllllll} \hline \hline Radius & Number of & Slope$^1$& Slope$^2$ &Observed &Intrinsic & 90\% confidence region\\ (\arcsec )&Objects & & & Scatter &Scatter & for intrinsic scatter \\ \hline 10 & 14 & --0.046 & --0.058 $\pm$ 0.017 & 0.066 & 0.060 & 0.039 to 0.091 \\ 15 & 19 & --0.052 & --0.055 $\pm$ 0.015 & 0.068 & 0.058 & 0.041 to 0.086 \\ 20 & 29 & --0.046 & --0.048 $\pm$ 0.015 & 0.082 & 0.070 & 0.052 to 0.093 \\ \hline \end{tabular}} \par \medskip Notes:\\ $^1$ No added scatter.\\ $^2$ With additional scatter. \end{table}