\begin{table}%t6
\caption{Results of statistical tests for pulsed emission. Number of events,
$N_{\rm on}$, $\chi^2$~probability for a~fit of the phase distribution
to a~constant, and probabilities for the event series being compatible
with a~flat phase distribution for the~$H$-, $Z^2_1$-, $Z^2_2$-, and
Kuiper-test~($P_K$) are shown. All quantities are given for both the
low energy and standard cut analyses (see text).}\label{table_stat_tests}
\small%%\centerline

{
\begin{tabular}{c|cccccc|cccccc}
\hline\hline
Pulsar & \multicolumn{6}{c|}{Low energy cuts} & \multicolumn{6}{c}{Standard cuts}\\
PSR & $N_{\rm on}$ & $P_{\chi^2}$ & $P_H$ & $P_{Z^2_1}$ & $P_{Z^2_2}$ & $P_K$
    & $N_{\rm on}$ & $P_{\chi^2}$ & $P_H$ & $P_{Z^2_1}$ & $P_{Z^2_2}$ & $P_K$\\
\noalign{\smallskip}
\hline
B0531+21   & 8095  & 0.99  & 0.84 & 0.81 & 0.94 & 0.97  & 10622 & 0.51 & 0.56 & 0.63 & 0.25 & 0.66\\
B0833$-$45 & 7480  & 0.52  & 0.87 & 0.85 & 0.37 & 0.82  & 1156  & 0.79 & 0.92 &  0.90 & 0.98 & 0.88\\
B1259$-$63 & 16176 & 0.78  & 0.92 & 0.90 & 0.65  & 0.71  & 4535  & 0.29 & 0.25 & 0.18 & 0.46 & 0.23\\
J1420$-$6048 & 2228  & 0.0093& 0.0031&0.072& 0.007& 0.0049& 968   & 0.67 & 0.60 & 0.53 & 0.53 & 0.62\\
B1509$-$58 & 12481 & 0.37  & 0.81 & 0.77 & 0.70  & 0.89  & 4308  & 0.048& 0.055& 0.027& 0.11 & 0.04\\
J1524$-$5625 & 2498  & 0.78  & 0.43 & 0.35 & 0.43  & 0.39  & 745   & 0.87 & 0.79 & 0.75 & 0.96 & 0.97\\
B1706$-$44$^\star$ & --   & --     & --   & --   & --   & --    & 391   & 0.02 & 0.82 & 0.78 & 0.85 & --  \\
J1826$-$1334 & 14497 & 0.71  & 0.46 & 0.38 & 0.57  & 0.62  & 4016  & 0.46 & 0.42 & 0.34 & 0.34 & 0.42\\
\hline
J1747$-$2958$^\star$$\!^\star$ & 23482 & 0.65  & 0.98 & 0.97 & 0.82  & 0.95  & 6340  & 0.62 & 0.62 & 0.92 & 0.99 & 0.96\\
J1801$-$2451$^\star$$\!^\star$ & 3230  & 0.035 & 0.22 & 0.15 & 0.42  & 0.21  & 723   & 0.50 & 0.15 & 0.094& 0.24 & 0.32\\
\hline
\end{tabular}}
\medskip
$^\star$ Subject to analysis limitations (archival data, see text).\\
$^\star$$\!^\star$ Valid pulsar timing information was not available for all data within the HESS~data set.
\end{table}