\begin{table}%Ta1 \caption{\label{TabR1e_1}\label{taba1}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} & 0.131 & 0.0041 & 0.031 & 0.220 & 0.1318 & 0.265 & 0.3395 & 0.058 & 0.213 & 0.0028 & 0.00079\\ {\rm RXC~J0006.0-3443} & 0.448 & 0.0072 & 0.075 & 1.862 & 0.2348 & 1.055 & 0.2179 & 0.101 & 0.222 & 0.0190 & 0.00153\\ {\rm RXC~J0020.7-2542} & 0.093 & 0.0033 & 0.025 & $-$0.094 & 0.1152 & 0.198 & 0.2389 & 0.050 & 0.215 & 0.0168 & 0.00116\\ {\rm RXC~J0049.4-2931} & 0.091 & 0.0068 & 0.040 & 0.115 & 0.2156 & 0.477 & 1.0930 & 0.093 & 0.533 & 0.0026 & 0.00067\\ {\rm RXC~J0145.0-5300} & 1.054 & 0.0057 & 0.113 & 1.000 & 0.1748 & 0.689 & 1.6230 & 0.078 & 0.556 & 0.0297 & 0.00170\\ {\rm RXC~J0211.4-4017} & 0.307 & 0.0054 & 0.063 & $-$0.142 & 0.1871 & 0.213 & 1.3600 & 0.083 & 0.480 & 0.0041 & 0.00078\\ {\rm RXC~J0225.1-2928} & 0.588 & 0.0146 & 0.121 & 4.883 & 0.4361 & 2.374 & 1.3040 & 0.239 & 0.759 & 0.0114 & 0.00139\\ {\rm RXC~J0345.7-4112} & 0.152 & 0.0046 & 0.033 & 1.403 & 0.1572 & 0.743 & 0.8983 & 0.074 & 0.405 & 0.0044 & 0.00063\\ {\rm RXC~J0547.6-3152} & 0.081 & 0.0019 & 0.016 & 1.243 & 0.0543 & 0.348 & 0.7068 & 0.023 & 0.169 & 0.0129 & 0.00081\\ {\rm RXC~J0605.8-3518} & 0.064 & 0.0011 & 0.010 & 0.007 & 0.0298 & 0.056 & 0.0271 & 0.014 & 0.029 & 0.0057 & 0.00022\\ {\rm RXC~J0616.8-4748} & 0.372 & 0.0063 & 0.084 & 6.137 & 0.1969 & 1.697 & 2.9580 & 0.088 & 0.742 & 0.0161 & 0.00143\\ {\rm RXC~J0645.4-5413} & 0.258 & 0.0024 & 0.034 & $-$0.068 & 0.0720 & 0.095 & 0.1835 & 0.029 & 0.106 & 0.0121 & 0.00049\\ {\rm RXC~J0821.8+0112} & 0.153 & 0.0188 & 0.083 & 6.717 & 0.5968 & 3.133 & 1.8220 & 0.303 & 1.075 & 0.0062 & 0.01416\\ {\rm RXC~J0958.3-1103} & 0.100 & 0.0031 & 0.022 & 0.014 & 0.0922 & 0.195 & 0.1165 & 0.042 & 0.101 & 0.0029 & 0.00054\\ {\rm RXC~J1044.5-0704} & 0.116 & 0.0008 & 0.011 & $-$0.013 & 0.0216 & 0.019 & $-$0.0029 & 0.009 & 0.019 & 0.0042 & 0.00024\\ {\rm RXC~J1141.4-1216} & 0.041 & 0.0013 & 0.010 & 0.500 & 0.0399 & 0.198 & 0.0535 & 0.016 & 0.049 & 0.0052 & 0.00051\\ {\rm RXC~J1236.7-3354} & 0.025 & 0.0051 & 0.018 & 0.145 & 0.1825 & 0.374 & 0.1157 & 0.081 & 0.244 & 0.0048 & 0.06762\\ {\rm RXC~J1302.8-0230} & 0.722 & 0.0042 & 0.080 & 1.986 & 0.1345 & 0.647 & 0.8242 & 0.062 & 0.341 & 0.0215 & 0.02096\\ {\rm RXC~J1311.4-0120} & 0.017 & 0.0004 & 0.003 & 0.024 & 0.0096 & 0.025 & 0.0066 & 0.004 & 0.010 & 0.0029 & 0.00026\\ {\rm RXC~J1516.3+0005} & 0.075 & 0.0025 & 0.018 & 0.315 & 0.0710 & 0.235 & 0.2417 & 0.033 & 0.132 & 0.0059 & 0.00054\\ {\rm RXC~J1516.5-0056} & 0.534 & 0.0065 & 0.076 & 8.604 & 0.2268 & 1.691 & 0.8404 & 0.091 & 0.394 & 0.0160 & 0.00135\\ {\rm RXC~J2014.8-2430} & 0.026 & 0.0007 & 0.006 & 0.206 & 0.0203 & 0.091 & 0.0427 & 0.009 & 0.034 & 0.0053 & 0.00022\\ {\rm RXC~J2023.0-2056} & 0.042 & 0.0118 & 0.035 & $-$0.199 & 0.4147 & 0.448 & 0.5655 & 0.178 & 0.594 & 0.0191 & 0.00130\\ {\rm RXC~J2048.1-1750} & 0.760 & 0.0050 & 0.073 & 3.350 & 0.1311 & 0.813 & 1.8790 & 0.055 & 0.429 & 0.0460 & 0.00494\\ {\rm RXC~J2129.8-5048} & 0.034 & 0.0059 & 0.052 & 2.631 & 0.2068 & 1.115 & $-$0.0427 & 0.096 & 0.160 & 0.0479 & 0.02450\\ {\rm RXC~J2149.1-3041} & 0.005 & 0.0019 & 0.005 & 0.793 & 0.0538 & 0.262 & 0.0218 & 0.024 & 0.038 & 0.0038 & 0.00047\\ {\rm RXC~J2157.4-0747} & 1.376 & 0.0240 & 0.251 & $-$0.691 & 0.7871 & 0.862 & 3.1270 & 0.392 & 1.709 & 0.0517 & 0.00343\\ {\rm RXC~J2217.7-3543} & 0.039 & 0.0025 & 0.014 & 0.449 & 0.0658 & 0.237 & 0.1529 & 0.029 & 0.122 & 0.0019 & 0.00047\\ {\rm RXC~J2218.6-3853} & 0.492 & 0.0016 & 0.035 & 0.351 & 0.0439 & 0.189 & 0.1159 & 0.021 & 0.063 & 0.0188 & 0.00057\\ {\rm RXC~J2234.5-3744} & 0.101 & 0.0030 & 0.018 & $-$0.060 & 0.0900 & 0.129 & 0.2564 & 0.040 & 0.102 & 0.0136 & 0.00150\\ {\rm RXC~J2319.6-7313} & 0.340 & 0.0047 & 0.058 & $-$0.119 & 0.1469 & 0.154 & 0.2151 & 0.065 & 0.178 & 0.0187 & 0.00103\\ \hline \end{tabular} \tablefoot{The cluster centers were not excised for the analysis results shown in this table. The power ratio parameters have been determined for an aperture with a radius of $R_{500}$. The corresponding results with center excision are given in Table~\ref{TabR1e}. 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}