\begin{table}%T5 \par \caption{\label{tab:fit_res}Results of fitting a Schechter function to the LF.} \small%\centering \par \begin{tabular}{lllll} \hline\hline Type & $\log~(L^*)$ & $\alpha$ & $\phi$ & $\chi^2$\\ & (erg~s$^{-1}$) & & $h^{-3}$~Mpc$^3$ & \\ \hline Confirmed, $\log(L^*)\geq 42$ & $\rm 43.55_{-0.10}^{+0.05}$ & $\rm -1.80_{-0.06}^{+0.08}$ & $1.5_{-0.3}^{+0.3}\times 10^{-4}$ & 0.32\\ All, $\log~(L^*)\geq 42$ & $\rm 43.30_{-0.05}^{+0.05}$ & $\rm -1.74_{-0.04}^{+0.06}$ & $3.2_{-0.5}^{+0.5}\times 10^{-4}$ & 0.28\\ All, $\log~(L^*)\geq 41.6$ & $\rm 43.15_{-0.05}^{+0.05}$ & $\rm -1.58_{-0.04}^{+0.06}$ & $5.8_{-0.8}^{+0.8}\times 10^{-4}$ & 2.06\\ \hline \end{tabular} \end{table}