\begin{table}%T9
       \caption{\label{tab:dense-ratios}Intensity ratios between the high density tracers.}
 \small%\centerline
{
         \begin{tabular}{lcccccc}
            \hline\hline
            \noalign{\smallskip}
            Galaxy & $\frac{\rm HCN}{\rm HNC}$~\tiny{1--0} & $\frac{\rm HCN}{\rm HNC}$~\tiny{3--2} & $\frac{\rm CN}{\rm HNC}$~\tiny{1--0} & $\frac{\rm CN~2--1}{\rm HNC~3-2}$ & $\frac{\rm CN}{\rm HCN}$~\tiny{1--0} & $\frac{\rm CN~2--1}{\rm HCN~3--2}$\\
            \noalign{\smallskip}
            \hline
            \noalign{\smallskip}
NGC~3079 & 2.15~$\pm$~0.67 & 1.60~$\pm$~0.75 & 0.64~$\pm$~0.20 & 1.25~$\pm$~0.58 & 0.30~$\pm$~0.09 & 0.78~$\pm$~0.25 \\
NGC~1068 & 2.01~$\pm$~0.65 & 6.48~$\pm$~1.95 & 1.98~$\pm$~0.58 & 2.58~$\pm$~0.78 & 0.98~$\pm$~0.29 & 0.40~$\pm$~0.29 \\
NGC~2623 & 1.4$^{a}$ & $\la$0.26 & $\la$0.77$^{a}$ & -- & $\la$0.5$^{a}$ & -- \\
NGC~1365 & 1.35~$\pm$~0.37 & -- & 0.87~$\pm$~0.25 & -- & 0.64~$\pm$~0.17 & 0.67~$\pm$~0.19 \\
NGC~7469$^{b}$ & 1.50~$\pm$~0.57 & -- & 0.85~$\pm$~0.28 & -- & 0.57~$\pm$~0.21 & -- \\
                  \hline
         \end{tabular}}
          \smallskip
\begin{list}{}{}
\item[$^{{a}}$] Ratios reported by Aalto et~al. (\cite{aalto02}).
\item[$^{{b}}$] New ratios computed using the HCN 1$-$0 source size 
estimated from Davies et~al. (\cite{davies04}).
\end{list}       
\end{table}