\begin{table}%t5 \caption{\label{tab:xc}Physical conditions estimated from line ratios$^{{a}}$ and line intensities.} \small %\centerline { \begin{tabular}{lcccc} \hline\hline \noalign{\smallskip} Molecule/ratio & $\nh2$ & $T_{\rm K}$ & $N/\Delta\upsilon^{{b}}$ & $\tau^{{b}}$ \\ & [$\3cm$] & [K] & [$\ndv$] & \\ \noalign{\smallskip} \hline \noalign{\smallskip} HCN & $10^4{-}10^7$ & $>$$20$ & $10^{13.2}{-}10^{15.2}$ & $10^{-3.0}<\tau_{1-0}<10^{2.4}$ \\ & & & & $10^{0.2}<\tau_{3-2}<10^{2.8}$ \\ & & & & $10^{0.2}<\tau_{4-3}<10^{2.8}$ \\ \noalign{\smallskip} HNC & $10^4{-}10^7$ & $10{-}90$ & $10^{12.8}{-}10^{15.0}$ & $10^{-1.0}<\tau_{1-0}<10^{2.6}$ \\ & & & & $1<\tau_{3-2}<10^{2.8}$ \\ & & & & $10^{-0.6}<\tau_{4-3}<10^{2.4}$ \\ \noalign{\smallskip} CN & $10^{5.2}{-}10^7$ & $10{-}20$ & $10^{14}{-}10^{15.2}$ & $10^{-2.0}<\tau_{1_{3/2}-0_{1/2}}<10^{2.4}$ \\ & & & & $1<\tau_{2_{5/2}-1_{3/2}}<10^{2.8}$ \\ & & & & $10^{-0.4}<\tau_{3_{5/2}-2_{5/2}}<10^{1.4}$ \\ \noalign{\smallskip} \hcop $\frac{4-3}{3-2}$ & $10^{5.9}{-}10^7$ & $>$$30$ & $10^{11.9}{-}10^{12.2}$ & $10^{-4.0}<\tau_{3-2}<10^{-1.2}$ \\ & & & & $10^{-2.2}<\tau_{4-3}<10^{-1.2}$ \\ \noalign{\smallskip} \hline \end{tabular}} \smallskip ${^a}$ Results from the single-phase model with a source size $\theta_{\rm S}=1.5''$.\\ ${^b}$ In order to get the actual column density and optical depth, the values reported here must be multiplied by a pertinent line width, i.e. thermal plus turbulent width ({\it FWHM}) of the lines. According to Schinnerer \etal~(\cite{Schinnerer2000}), the velocity dispersion at the nuclear region of NGC~1068 is about~23~\kms. \end{table}