\begin{table}%t2 \caption{\label{tab:excited}Column densities of the fine-structure levels of the ground term and those of metastable levels of Fe$^+$ at the \grb-DLA redshift of $z_{\rm abs}=3.96857$.} %\centerline { \begin{tabular}{lllc} \hline \hline\\[-3.2mm] Ion & Energy level & Transition & ${\log N\pm\sigma_{\log N}}^{b}$\\ && lines used (\AA )&\\ \hline \multicolumn{4}{l}{1st epoch of observations:}\\ Fe$^+$ & g.s.$^{a}$ ($^6{\rm D}_{9/2}$) & 1083, 1112 & $\rm 15.31^{+0.04}_{-0.05}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{7/2}$ & 1266, 1267 & $\rm 14.39^{+0.10}_{-0.12}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{5/2}$ & 1271 & $\rm 14.36^{+0.09}_{-0.10}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{3/2}$ & 1275.7, 1275.8 & $\rm 14.04^{+0.12}_{-0.16}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{1/2}$ & 1277.64, 1277.68 & ${<}13.60^{c}$ \\ \hline \multicolumn{4}{l}{2nd epoch of observations:}\\ Fe$^+$ & g.s.$^{a}$ ($^6{\rm D}_{9/2}$) & 1611 & $\rm 15.34^{+0.06}_{-0.06}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{7/2}$ & 1618, 1621 & $\rm 14.41^{+0.03}_{-0.03}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{5/2}$ & 1629, 1631 & $\rm 13.96^{+0.06}_{-0.07}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{3/2}$ & 1634, 1636 & $\rm 13.79^{+0.09}_{-0.09}$ \\[0.5mm] Fe$^+$ & $^6{\rm D}_{1/2}$ & 1639 & ${<}13.65^{d}$ \\ Fe$^+$ & $^4{\rm F}_{9/2}$ & 1559, 1566, 1569 & \\ & & 1610, 1612, 1658 & \\ & & 1702 & $\rm 14.31^{+0.03}_{-0.04}$ \\ Fe$^+$ & $^4{\rm F}_{7/2}$ & 1563, 1625, 1659 & \\ & & 1712 & $\rm 13.64^{+0.10}_{-0.10}$ \\[0.5mm] Fe$^+$ & $^4{\rm F}_{5/2}$ & 1570, 1584, 1633 & $\rm 13.50^{+0.11}_{-0.14}$ \\ Fe$^+$ & $^4{\rm F}_{3/2}$ & 1574, 1640 & ${\le} 13.39^{+0.11d}_{-0.12}$\\ Fe$^+$ & $^4{\rm D}_{7/2}$ & 1635 & $\rm 13.46^{+0.08}_{-0.08}$ \\[0.5mm] Fe$^+$ & $^4{\rm D}_{5/2}$ & 1641 & ${\le} 13.29^{+0.13d}_{-0.15}$\\ \hline \end{tabular}} \medskip \par $^{a}$ Ground state. $^{b}$ Listed uncertainties were derived from the line fitting using the best-fit continuum normalisation plus or minus 0.5~times the noise rms in the adjacent continuum. $^{c}$ $3\sigma$ upper limit. $^{d}$ Possible blend or mis-identification (see text). \end{table}