\begin{table}%t2 \caption{\label{tab2}Line widths and optical depths of HC$_3$N transitions (see Sect.~4.1.1)$^{ a}$.} \par % \par %\centerline { \begin{tabular}{cccc} \hline\hline Line & $FWHP$ & $\tau_{\rm peak}$ & $\int{\tau {\rm d}V}$ \\ \hline HC$_3$N $J=3 \leftarrow 2$ & $10.6\pm1.2$ & $0.0057\pm0.0008$ & $0.060\pm0.005$ \\ HC$_3$N $J=4 \leftarrow 3$ & $ 9.3\pm1.0$ & $0.0131\pm0.0018$ & $0.121\pm0.010$ \\ HC$_3$N $J=5 \leftarrow 4$ & $ 8.6\pm1.0$ & $0.0211\pm0.0031$ & $0.181\pm0.017$ \\ HC$_3$N $J=6 \leftarrow 5$ & $ 9.0\pm1.9$ & $0.0280\pm0.0069$ & $0.251\pm0.034$ \\ HC$_3$N $J=7 \leftarrow 6$ & $12.2\pm2.1$ & $0.0173\pm0.0035$ & $0.210\pm0.024$ \\ HC$_3$N $J=10\leftarrow 9$ & -- & -- & $<$0.235 \\ \hline \end{tabular}} \medskip \par $^a$ Full Width to Half Power ($FWHP$) line widths, peak apparent optical depths, and integrated optical depths obtained from one component Gaussian fits. The upper limit to the HC$_3$N $J =10 \leftarrow 9$ integrated opacity is a 3$\sigma$ value. \end{table}