\begin{table}%T1
\caption{\label{TabR1e}\label{tab1}Substructure parameters for 31 clusters from the \rexcess\ sample.} 
\small
%\centering
\par
\begin{tabular}{l r r r r r r r r r r r }
\hline
\hline\noalign{\smallskip}
\multicolumn{1}{l}{Cluster} & 
\multicolumn{1}{c}{$P2/P0$} & 
\multicolumn{1}{c}{Bias} & \multicolumn{1}{c}{Error} & 
\multicolumn{1}{c}{$P3/P0$} & 
\multicolumn{1}{c}{Bias} & \multicolumn{1}{c}{Error} & 
\multicolumn{1}{c}{$P4/P0$} & 
\multicolumn{1}{c}{Bias} & \multicolumn{1}{c}{Error} &
\multicolumn{1}{c}{$w$} & \multicolumn{1}{c}{Error} \\
\multicolumn{1}{c}{} & 
\multicolumn{1}{c}{$\times 10^{-5}$} & 
\multicolumn{1}{c}{$\times 10^{-5}$} & \multicolumn{1}{c}{$\times 10^{-5}$} & 
\multicolumn{1}{c}{$\times 10^{-7}$} & 
\multicolumn{1}{c}{$\times 10^{-7}$} & \multicolumn{1}{c}{$\times 10^{-7}$} & 
\multicolumn{1}{c}{$\times 10^{-7}$} & 
\multicolumn{1}{c}{$\times 10^{-7}$} & \multicolumn{1}{c}{$\times 10^{-7}$} &
\multicolumn{1}{c}{} & \multicolumn{1}{c}{} \\
(1) & (2) & (3) & (4) & (5) & (6) & (7) & (8) & (9) & (10) & (11) & (12)\\
\hline
{\rm RXC~J0003.8+0203} &   0.205 &   0.0066 &   0.050 &   0.337 &   0.1923 &   0.379 &   0.5507 &   0.083 &   0.334 &   0.0032 &  0.00102\\
{\rm RXC~J0006.0-3443} &   0.546 &   0.0088 &   0.091 &   2.303 &   0.2807 &   1.322 &   0.2767 &   0.127 &   0.281 &   0.0130 &  0.00144\\
{\rm RXC~J0020.7-2542} &   0.135 &   0.0049 &   0.036 &  $-$0.139 &   0.1777 &   0.372 &   0.3431 &   0.069 &   0.323 &   0.0063 &  0.00078\\
{\rm RXC~J0049.4-2931} &   0.148 &   0.0106 &   0.069 &   0.295 &   0.3261 &   0.851 &   1.8380 &   0.160 &   0.922 &   0.0023 &  0.00078\\
{\rm RXC~J0145.0-5300} &   1.252 &   0.0072 &   0.132 &   1.155 &   0.2146 &   0.787 &   1.9030 &   0.093 &   0.700 &   0.0300 &  0.00141\\
{\rm RXC~J0211.4-4017} &   0.523 &   0.0096 &   0.112 &  $-$0.223 &   0.3101 &   0.358 &   2.3980 &   0.136 &   0.782 &   0.0046 &  0.00100\\
{\rm RXC~J0225.1-2928} &   0.896 &   0.0238 &   0.205 &   7.652 &   0.7239 &   3.654 &   1.9670 &   0.354 &   1.300 &   0.0121 &  0.00136\\
{\rm RXC~J0345.7-4112} &   0.366 &   0.0120 &   0.073 &   3.363 &   0.3813 &   1.735 &   2.1840 &   0.179 &   0.918 &   0.0052 &  0.00088\\
{\rm RXC~J0547.6-3152} &   0.112 &   0.0028 &   0.021 &   1.822 &   0.0699 &   0.535 &   1.0220 &   0.035 &   0.235 &   0.0070 &  0.00057\\
{\rm RXC~J0605.8-3518} &   0.155 &   0.0026 &   0.027 &   0.009 &   0.0745 &   0.114 &   0.0690 &   0.034 &   0.073 &   0.0059 &  0.00039\\
{\rm RXC~J0616.8-4748} &   0.461 &   0.0079 &   0.110 &   7.580 &   0.2327 &   2.183 &   3.6510 &   0.106 &   0.900 &   0.0131 &  0.00151\\
{\rm RXC~J0645.4-5413} &   0.416 &   0.0036 &   0.059 &  $-$0.110 &   0.1084 &   0.159 &   0.2678 &   0.051 &   0.181 &   0.0039 &  0.00042\\
{\rm RXC~J0821.8+0112} &   0.207 &   0.0253 &   0.109 &   9.254 &   0.8668 &   4.260 &   2.4590 &   0.372 &   1.617 &   0.0045 &  0.00144\\
{\rm RXC~J0958.3-1103} &   0.211 &   0.0063 &   0.048 &   0.038 &   0.1830 &   0.357 &   0.2421 &   0.086 &   0.203 &   0.0034 &  0.00072\\
{\rm RXC~J1044.5-0704} &   0.321 &   0.0021 &   0.031 &  $-$0.035 &   0.0613 &   0.055 &  $-$0.0092 &   0.027 &   0.051 &   0.0072 &  0.00040\\
{\rm RXC~J1141.4-1216} &   0.098 &   0.0033 &   0.023 &   1.129 &   0.0917 &   0.457 &   0.1163 &   0.040 &   0.136 &   0.0054 &  0.00059\\
{\rm RXC~J1236.7-3354} &   0.038 &   0.0086 &   0.030 &   0.227 &   0.2701 &   0.620 &   0.2089 &   0.117 &   0.418 &   0.0052 &  0.00069\\
{\rm RXC~J1302.8-0230} &   1.233 &   0.0071 &   0.129 &   3.304 &   0.2152 &   1.100 &   1.3020 &   0.094 &   0.553 &   0.0153 &  0.00086\\
{\rm RXC~J1311.4-0120} &   0.035 &   0.0009 &   0.007 &   0.041 &   0.0206 &   0.051 &   0.0121 &   0.009 &   0.020 &   0.0040 &  0.00029\\
{\rm RXC~J1516.3+0005} &   0.099 &   0.0035 &   0.023 &   0.415 &   0.1030 &   0.328 &   0.3115 &   0.043 &   0.187 &   0.0037 &  0.00044\\
{\rm RXC~J1516.5-0056} &   0.636 &   0.0075 &   0.091 &  10.250 &   0.2445 &   2.058 &   1.0280 &   0.106 &   0.479 &   0.0176 &  0.00140\\
{\rm RXC~J2014.8-2430} &   0.073 &   0.0020 &   0.015 &   0.614 &   0.0597 &   0.300 &   0.1227 &   0.026 &   0.093 &   0.0058 &  0.00030\\
{\rm RXC~J2023.0-2056} &   0.056 &   0.0155 &   0.051 &  $-$0.338 &   0.5603 &   0.610 &   0.8529 &   0.252 &   0.809 &   0.0167 &  0.00147\\
{\rm RXC~J2048.1-1750} &   0.840 &   0.0051 &   0.080 &   3.638 &   0.1479 &   0.866 &   2.0140 &   0.066 &   0.456 &   0.0419 &  0.00432\\
{\rm RXC~J2129.8-5048} &   0.037 &   0.0079 &   0.090 &   2.966 &   0.2349 &   1.220 &  $-$0.0584 &   0.107 &   0.269 &   0.0419 &  0.01997\\
{\rm RXC~J2149.1-3041} &   0.011 &   0.0046 &   0.012 &   1.951 &   0.1294 &   0.685 &   0.0450 &   0.059 &   0.082 &   0.0034 &  0.00053\\
{\rm RXC~J2157.4-0747} &   1.501 &   0.0266 &   0.275 &  $-$0.847 &   0.9897 &   0.954 &   3.4010 &   0.444 &   2.032 &   0.1080 &  0.90430\\
{\rm RXC~J2217.7-3543} &   0.061 &   0.0037 &   0.022 &   0.705 &   0.1116 &   0.364 &   0.2425 &   0.046 &   0.203 &   0.0018 &  0.00373\\
{\rm RXC~J2218.6-3853} &   0.762 &   0.0022 &   0.052 &   0.514 &   0.0728 &   0.287 &   0.1893 &   0.028 &   0.099 &   0.0155 &  0.00049\\
{\rm RXC~J2234.5-3744} &   0.144 &   0.0040 &   0.027 &  $-$0.085 &   0.1166 &   0.181 &   0.3276 &   0.055 &   0.148 &   0.0075 &  0.00056\\
{\rm RXC~J2319.6-7313} &   0.694 &   0.0089 &   0.138 &  $-$0.198 &   0.3012 &   0.799 &   0.5018 &   0.126 &   0.346 &   0.0217 &  0.00085\\
\hline
\end{tabular}
\tablefoot{For this analysis the central cluster emission inside a radius of $0.1 \times R_{500}$ was excised to avoid any influence of cluster cool cores.  The power ratio parameters have been determined for an aperture with a radius 
of $R_{500}$. The corresponding results without center excision are given in Table~\ref{taba1} 
in the Appendix. For each of the power ratio parameters we provide the value of the 
noise contribution to the power ratio result (bias) which has been subtracted from 
the measured result to provide the value listed in Cols.~2,~5, and~8. The uncertainties 
determined from the Poissonisation simulations are listed in Cols.~4, 7, and~10 (error). 
The center shift statistic parameter $w$ and its uncertainty are listed in Cols.~11 and~12.}
\end{table}