\begin{table}%t7 %\centering \par \caption {\label{cold}H$_2$ densities and molecular column densities of H$^{13}$CO$^+$ and HN$^{13}$C derived assuming extended emission and a temperature of 21~K for all molecules, for the precursor component of L1448-mm. } \begin{tabular}{lcc} \hline \hline \noalign{\smallskip} & H$_2$ density (cm$^{-3}$)& Column density (cm$^{-2}$) \\ \cline{2-3} Molecule & & \\ \hline \multicolumn{3}{c}{(0,~0)}\\ H$^{13}$CO$^+$ & $5.0\times10^6$ & $9.3\times10^{11}$ \\ SiO & $1.6\times10^6$ & $1.2\times10^{11}$ \\ HN$^{13}$C & $\la$$ 1.3\times10^6$ & $3.7\times10^{11}$\\ H$^{13}$CN & $\la$$4.8\times10^6$ & $3.3\times10^{11}$ \\ \hline \multicolumn{3}{c}{(0,~--10)}\\ H$^{13}$CO$^+$ & $3.7\times10^7$ & $2.6\times10^{11}$ \\ SiO & $3.5\times10^6$ & $1.4\times10^{11}$ \\ HN$^{13}$C & $\la$$ 7.1\times10^5$ & $6.8\times10^{11}$\\ H$^{13}$CN & $\la$$3.6\times10^6$ & $4.2\times10^{11}$ \\ \hline \end{tabular} \end{table}