\begin{table}%t2 \par \caption{\label{tab_gaussfit_R0.6}Gaussian fitting results for the identified compact radio sources in the core of MS0451.} \small%\centerline { \begin{tabular}{lcccccccc} \hline\hline \noalign{\smallskip} Name & RA ($+4^{\rm h}$ $54^{\rm m}$) & Dec ($- 3^{\circ}$) & $S_{\rm Pk}$ & $S_{\rm Gauss}$ & Maj Axis & Min Axis & PA & SSR \\ & J2000 (sec) & J2000 ($\arcmin$, $\arcsec$)& ($\rm \mu Jy~beam^{-1}$) & ($\mu$Jy) & (arcsec) & (arcsec) & (deg) & ($\rm \times 10^{-9}~Jy^{2}~beam^{-2}$)\\ \noalign{\smallskip} \hline \noalign{\smallskip} E1 & $12.782\pm 0.007$ & 00:$43.7\pm0.1$ & $66.1\pm10.3$ & $53.0 \pm15.5$ & $0.00 \pm1.14$ & -- & -- & 2.2 \\ CR1 & $12.89\pm 0.01$ & 00:$53.5\pm0.3$ & $45.6\pm10.2$ & $56.2 \pm20.4$ & $1.87 \pm1.87$ & $0.00 \pm1.17$ & $31.4 \pm44.7$ & 0.6 \\ CR2 & $12.87\pm 0.01$ & 00:$59.0\pm0.3$ & $45.9\pm10.0$ & $76.3 \pm24.5$ & $2.28 \pm1.22$ & $0.73 \pm0.99$ & $37.6 \pm3.8$ & 1.8 \\ E2 & $12.67\pm 0.01$ & 01:$01.2\pm0.2$ & $51.6\pm10.3$ & $61.2 \pm20.0$ & $1.44 \pm1.44$ & $0.00 \pm1.07$ & -- & 0.9 \\ RJ bright & $12.55\pm 0.01$ & 01:$17.2\pm0.1$ & $82.9\pm9.8$ & $164 \pm27.6$ & $3.02 \pm0.56$ & $0.51 \pm0.73$ & $128 \pm10.9$ & 12.8\\ E3 & $10.95\pm 0.01$ & 01:$24.8\pm0.2$ & $52.6\pm9.9$ & $92.5 \pm25.5$ & $1.71 \pm0.95$ & $1.58 \pm1.58$ & $70.5 \pm39.0$ & 3.4 \\ \hline \end{tabular}} \smallskip The columns show: position (RA, Dec), peak flux density ($S_{\rm Pk}$), total flux density ($S_{\rm Gauss}$), deconvolved Gaussian sizes (major axis, minor axis and position angle) with their corresponding formal errors, and the sum of the square of the residuals reported from the fit (SSR). Cases where the parameters of the Gaussian fits are not well constrained are indicated by a dash. Note that the positions listed here were derived before aligning the radio map respect to the HST image. \vspace*{2mm} \end{table}