\begin{table}%t4
\caption{Air wavelengths, upper energy levels, Eistein~$A$ coefficients, degeneracies and line fluxes of the H$_2$~lines detected in M1$-$78. We also give significant line flux ratios and results such as the ortho-to-para ratio~($\phi$) and the excitation temperature.}\label{table:h2}
\small%\centerline
 {
\begin{tabular}{c@{\hspace{0pt}}c@{\hspace{4pt}}r@{\hspace{4pt}}c@{\hspace{4pt}}r@{\hspace{5pt}}r@{\hspace{5pt}}r@{\hspace{7pt}}r@{\hspace{7pt}}r@{\hspace{7pt}}c@{\hspace{5pt}}r@{\hspace{7pt}}r@{\hspace{7pt}}r}
\hline\hline 
Transition & $\lambda_{ j}$ & $E_{ j}$ & $A_{ j}$ & $g_{ j}$ &  \multicolumn{4}{c}{Slit 1 $^{a}$} & & \multicolumn{3}{c}{Slit 2 $^{a}$}\\
\cline{6-9} \cline{11-13}  
& (\um) & (K) & (10$^{-7}$ s) & & Region 1 & Region 2 & Region 3 & Region 4 & & Region 1 & Region 2 & Region 3 \\
\hline
1--0 S(2) & 2.0332 &  7584 & 3.98 &  9 &  35.3 $\pm$ 2.6  & 18.5 $\pm$ 1.9 & 10.4 $\pm$ 1.1 &  26.3 $\pm$ 1.1 & &  8.0 $\pm$ 1.4 &  2.9 $\pm$ 0.7 &  5.3 $\pm$ 1.0\\
2--1 S(3) & 2.0729 & 13~890 & 5.77 & 33 &  16.7 $\pm$ 1.9  &  9.9 $\pm$ 1.1 &  4.6 $\pm$ 0.6 &  22.3 $\pm$ 1.1 & & 5.9 $\pm$ 1.1 & $<$$3$           &  3.1 $\pm$ 0.7\\
1--0 S(1) & 2.1212 &  6956 & 3.47 & 21 & 148.6 $\pm$ 10.4 & 92.3 $\pm$ 1.4 & 48.5 $\pm$ 1.2 & 150.8 $\pm$ 3.6 & & 44.5 $\pm$ 2.3 & 19.1 $\pm$ 0.8 & 30.1 $\pm$ 1.9\\
2--1 S(2) & 2.1536 & 13~152 & 5.60 &  9 & $<$$3.5$          & $<$$4.2$         & $<$$2.5$         &  10.7 $\pm$ 1.1 & & 3.6 $\pm$ 0.9 & $<$$2$           & $<$$3$          \\
3--2 S(3) & 2.2008 & 19~086 & 5.63 & 33 &  5.7 $\pm$ 1.4   & $<$$4.2$         & $<$$2.2$         &   8.5 $\pm$ 2.3 & & $<$$3$           & $<$$3$           & $<$$2$          \\
1--0 S(0) & 2.2229 &  6471 & 2.53 &  5 & 33.8 $\pm$ 3.8   & 28.5 $\pm$ 2.2 & 16.6 $\pm$ 0.8 &  38.3 $\pm$ 1.7 & & 11.6 $\pm$ 1.5 &  6.9 $\pm$ 1.0 & $<$$5$          \\
2--1 S(1) & 2.2471 & 12~550 & 4.98 & 21 & 15.1 $\pm$ 2.2   &  9.3 $\pm$ 1.1 &  4.2 $\pm$ 0.7 &  16.3 $\pm$ 1.6 & & 5.0 $\pm$ 1.1 & $<$$4$           &  4.0 $\pm$ 1.1\\
3--2 S(2) & 2.2864 & 18~386 & 5.63 &  9 & $<$$3.3$          & 11.6 $\pm$ 1.3 &  4.0 $\pm$ 0.6 & $<$$4.5$         & & $<$$3$           &  4.4 $\pm$ 1.0 &  2.3 $\pm$ 1.0\\
\hline
1--0 S(1)/2--1 S(1)   & & & & & 9.8 $\pm$ 1.6  & 9.9 $\pm$ 1.2     & 11.5 $\pm$ 1.9    & 9.2 $\pm$ 0.9  & & 8.6 $\pm$ 1.9 & $>$$4$           & 7.5 $\pm$ 2.1 \\
1--0 S(1)/3--2 S(3)   & & & & & 26.1 $\pm$ 6.6 & $>$$22$            & $>$$22$            & 17.6 $\pm$ 4.8 & & $>$$17$         & $>$$7$           & $>$$15$         \\
$\phi_1$            & & & & & 3.5 $\pm$ 0.3  & 3.1 $\pm$ 0.2     & 2.9 $\pm$ 0.2     & 3.7 $\pm$ 0.1  & & 3.6 $\pm$ 0.4 & 3.3 $\pm$ 0.4  & $^{b}$       \\
$\phi_2$            & & & & & $\vartriangle$ & $\vartriangle$    & $\vartriangle$    & 2.0 $\pm$ 0.2  & & 1.7 $\pm$ 0.4 & $^{c}$ & $^{c}$\\
$T_{\rm ex}$ (K) $^{e}$  & & & & & 980 $\pm$ 165  & 720 $\pm$ 55      & 690 $\pm$ 20      & 720 $\pm$ 150  & & 750 $\pm$ 175 & 570 $\pm$ 55   & 590 $\pm$ 120 \\  
$T_{\rm ex}$ (K) $^{f}$ & & & & & 2255 $\pm$ 230 & 2100 $\pm$ 260    & 1910 $\pm$ 330    & 2465 $\pm$ 390 & & 2380 $\pm$ 330& $^{d}$     & 2265 $\pm$ 420\\
\hline
\end{tabular}}
\medskip
$^{a}$ Line fluxes are given in units of 10$^{-18}$~W~m$^{-2}$.
$^{b}$ The 1$-$0 S(0) line was not been measured.
$^{c}$ Only one or two $v=2$ lines were detected.
$^{d}$ There are only upper limits for the $v=2$ transitions.
$^{e}$ Excitation temperature determined from the $v=1$ states only.
$^{f}$ Excitation temperature determined from the $v=1$ and $v=2$ states.
\end{table}