\begin{table}%t3
\par
\caption {\label{GRB_differential_flux_ULs}Differential flux upper limits at the energy thresholds from the HESS
  observations of GRBs with reported redshifts.}  % using soft cuts
%\centerline
 {
\begin{tabular}{llrcc}
  \hline\hline
  GRB   & Redshift & $E_{\rm th}$ (GeV) & $F_{\rm UL}$$^a$ & $F_{\rm corrected}$$^a$ \\
  \hline
  060505  & 0.0889  & 400 & $3.9\times10^{-14}$ & $5.8\times10^{-14}$  \\
  030329  & 0.1687  & 1360 & $7.6\times10^{-15}$ & $9.7\times10^{-14}$  \\
  070209  & 0.314  & 370 & $1.2\times10^{-13}$ & $8.7\times10^{-13}$  \\
  070724A  & 0.457  & 200 & $2.1\times10^{-13}$ & $1.0\times10^{-12}$  \\
  041006  & 0.716  & 150 & $1.8\times10^{-12}$ & $2.7\times10^{-11}$  \\
  061110A & 0.758  & 200 & $1.7\times10^{-13}$ & $1.7\times10^{-11}$  \\
  050801  & 1.56  & 310 & $2.1\times10^{-13}$ & $^b$  \\
  071003$^c$
          & 1.604  & 280 & $2.0\times10^{-13}$ & $^b$ \\
  060526  & 3.21  & 220 & $1.7\times10^{-13}$ & $^b$ \\
  070721B  & 3.626  & 320 & $1.1\times10^{-13}$ & $^b$ \\
%  050801  & 1.56  & 310 & 2.1$\times10^{-13}$ & 53  \\
%  071003\footnote{Observation data using 4 telescopes were used}
%          & 1.604  & 280 & 2.0$\times10^{-13}$ & 38  \\
%  060526  & 3.21  & 220 & 1.7$\times10^{-13}$ & 6.2$\times10^{34}$  \\
%  070721B  & 3.626  & 320 & 1.1$\times10^{-13}$ & 9.4$\times10^{51}$  \\
  \hline
\end{tabular}}
\par
\smallskip
$^a$  {Limits are given in units of ${\rm cm}^{-2}~{\rm s}^{-1}~{\rm GeV}^{-1}$.}
$^b$  {The limits corrected for EBL absorption are $>$10 orders of magnitude larger than that observed.}
$^c$  {Only 4-telescope data were used.}
\end{table}