\begin{table}%t1 \caption{\label{tab1}The input \mbox{X-ray} surface brightness and SZE temperature decrement values at each radial bin, and the different de-projected quantities derived from these two observables. } \small%%\centering \par \begin{tabular}{cccccccc} \hline\hline\noalign{\smallskip} Bin & Radius & $S_{{\rm X}}$ & $\Delta T_{{\rm SZ}}$ & $n_{\rm e}(r)$ & $T_{\rm e}(r)$ & Entropy\tablefootmark{a} & $M_{{\rm tot}}({<}r)$ \\ & (arcmin) & (\tablefootmark{b}) & (mK) & ($10^{-3}$~cm$^{-3}$) & (keV) & (keV cm$^{2/3}$) & ($10^{14}~M_{\odot}$) \\ \hline 1 & $0{-}0.5$ & $10.8\pm 0.2$ & $-0.36\pm 0.06$ & $24.4\pm 0.2$ & $2.7\pm 0.5$ & $32\pm 6$ & $0.03\pm 0.01$ \\ 2 & $0.5{-}1.5$ & $1.03\pm 0.02$ & $-0.28\pm 0.05$ & $5.30\pm 0.04$ & $7.2\pm 0.9$ & $240\pm 30$ & $0.54\pm 0.04$ \\ 3 & $1.5{-}2.5$ & $0.18\pm 0.007$ & $-0.18\pm 0.04$ & $1.79\pm 0.03$ & $10.4\pm 1.7$ & $710\pm 120$ & $1.72\pm 0.12$ \\ 4 & $2.5{-}3.6$ & $0.06\pm 0.003$ & $-0.13\pm 0.03$ & $0.86\pm 0.02$ & $12.9\pm 2.2$ & $1430\pm 270$ & $2.96\pm 0.41$ \\ 5 & $3.6{-}4.9$ & $0.02\pm 0.002$ & $-0.06\pm 0.02$ & $0.47\pm 0.02$ & $9.0\pm 2.1$ & $1490\pm 370$ & $3.82\pm 0.83$ \\ 6 & $4.9{-}6.7$ & $0.01\pm 0.001$ & $-0.03\pm 0.01$ & $0.27\pm 0.02$ & $5.8\pm 1.9$ & $1390\pm 510$ & $3.64\pm 0.61$ \\ 7 & $6.7{-}9.2$ & $(2.8\pm 1.0)\times 10^{-3}$ & $-0.014\pm 0.007$ & $0.11\pm 0.02$ & $4.0\pm 2.5$ & $1700\pm 1200$ & $3.9\pm 1.3$ \\ 8 & $9.2{-}12.8$ & $(1.0\pm 0.8)\times 10^{-3}$ & $-0.010\pm 0.006$ & $0.06\pm 0.02$ & $5.7\pm 5.3$ & $<$7500\tablefootmark{c} & $<$13.1\tablefootmark{c} \\ \hline \end{tabular} \tablefoot{The errors shown are the $1\sigma$ statistical uncertainties, including the systematic errors from the \mbox{X-ray} background modeling (the latter is included in the \mbox{X-ray} surface brightness errors). The first bin represents the central arcmin of the maps, corresponding to the APEX-SZ beam {\it FWHM}.\\ \tablefoottext{a}{Entropy index, defined as $K=k_{{\rm B}}T_{\rm e} n_{\rm e}^{-2/3}$}; \tablefoottext{b}{in units of $10^{-12}$~erg~s$^{-1}$~cm$^{-2}$~arcmin$^{-1}$}; \tablefoottext{c}{upper limit at 68\% confidence level.}} \end{table}