\begin{table}%t2 \caption{\label{tab:bhmf}Binned black hole mass function, not corrected for sample censorship. } %\centering \par \begin{tabular}{rrrrr} \hline\hline \noalign{\smallskip} & \multicolumn{2}{c}{\large{$\mathbf{\sigma}_{\rm line}$}} & \multicolumn{2}{c}{\large{{\it FWHM}}} \\ \noalign{\smallskip} $\log M_{{\rm BH}}$ & $N$ & $\log \Phi_M$ & $N$ & $\log \Phi_M$ \\ \hline \noalign{\smallskip} 5.75 & 1 & $-6.27^{+0.31}_{-\infty}$ & 4 & $\rm -5.75^{+0.20}_{-0.36}$ \\ \noalign{\smallskip} 6.00 & 1 & $-6.24^{+0.30}_{-\infty}$ & 0 & \\ \noalign{\smallskip} 6.25 & 4 & $\rm -5.34^{+0.21}_{-0.40}$ & 6 & $\rm -5.33^{+0.20}_{-0.41}$ \\ \noalign{\smallskip} 6.50 & 5 & $\rm -5.55^{+0.20}_{-0.40}$ & 8 & $\rm -5.49^{+0.19}_{-0.33}$ \\ \noalign{\smallskip} 6.75 & 6 & $\rm -5.50^{+0.15}_{-0.24}$ & 11 & $\rm -5.29^{+0.15}_{-0.22}$ \\ \noalign{\smallskip} 7.00 & 20 & $\rm -5.45^{+0.12}_{-0.18}$ & 28 & $\rm -5.34^{+0.11}_{-0.15}$ \\ \noalign{\smallskip} 7.25 & 27 & $\rm -5.07^{+0.12}_{-0.17}$ & 35 & $\rm -5.15^{+0.12}_{-0.16}$ \\ \noalign{\smallskip} 7.50 & 38 & $\rm -5.38^{+0.10}_{-0.12}$ & 42 & $\rm -5.65^{+0.09}_{-0.12}$ \\ \noalign{\smallskip} 7.75 & 47 & $\rm -5.32^{+0.13}_{-0.18}$ & 33 & $\rm -5.45^{+0.15}_{-0.22}$ \\ \noalign{\smallskip} 8.00 & 42 & $\rm -5.64^{+0.10}_{-0.13}$ & 45 & $\rm -5.63^{+0.13}_{-0.19}$ \\ \noalign{\smallskip} 8.25 & 42 & $\rm -5.85^{+0.17}_{-0.28}$ & 36 & $\rm -5.78^{+0.15}_{-0.24}$ \\ \noalign{\smallskip} 8.50 & 45 & $\rm -6.35^{+0.16}_{-0.25}$ & 32 & $\rm -6.37^{+0.16}_{-0.27}$ \\ \noalign{\smallskip} 8.75 & 21 & $\rm -7.21^{+0.13}_{-0.19}$ & 23 & $\rm -7.20^{+0.13}_{-0.18}$ \\ \noalign{\smallskip} 9.00 & 13 & $\rm -7.43^{+0.13}_{-0.20}$ & 8 & $\rm -7.62^{+0.17}_{-0.29}$ \\ \noalign{\smallskip} 9.25 & 5 & $\rm -7.91^{+0.17}_{-0.29}$ & 6 & $\rm -7.83^{+0.16}_{-0.25}$ \\ \noalign{\smallskip} \hline \end{tabular} \tablefoot{$N$ gives the number of objects in each bin, $\log \phi$ and $\Delta \log \phi$ gives the space density per unit logarithmic black hole mass in solar masses and its 1$\sigma$ error respectively.} \end{table}