\begin{table}%ta1 \caption{\label{table:Te(n)}Fit for the electron temperature $T_{\rm e}$ for SNR inner regions (i.e. at projected distance $r/r_{\rm shock}\protect\la 0.8$) as function of outer density $T_{\rm e}(n)/1~{\rm keV}=a\times(n/1~{\rm cm}^{-3})^{b}$, for different explosion energies, if applicable.} %\centerline { \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \hline\\[-3.25mm] $E \rightarrow$ & \multicolumn{2}{|c|}{$10^{50}$} & \multicolumn{2}{c|}{$3\times 10^{50}$}& \multicolumn{2}{c|}{$5\times 10^{50}$}& \multicolumn{2}{c|}{$7\times 10^{50}$}& \multicolumn{2}{c|}{$10^{51}$}& \multicolumn{2}{c|}{$3\times 10^{51}$}\\ \hline \multicolumn{13}{|c|}{$w=0$}\\ \hline $t\downarrow$ & $a$ & $b$ & $a$ & $b$ & $a$ & $b$ & $a$ & $b$ & $a$ & $b$ & $a$ & $b$ \\ \hline 125& 0.75 & 0.217 & 0.89 & 0.198 & 0.96 & 0.194 & 1.01 &0.187 & 1.06 &0.178&1.25&0.145\\ 250& 0.70 & 0.230 & 0.84 & 0.228 & 0.92 &0.227 & 0.97 & 0.225 & 1.03 & 0.224&1.23&0.216 \\ 500& 0.65 & 0.231 & 0.78 & 0.234 & 0.86 &0.230 &0.91 &0.232 & 0.96 & 0.230&1.16&0.231 \\ 1000& 0.59 & 0.215 & 0.72 & 0.221 & 0.79 & 0.226 & 0.83 & 0.224 & 0.89 & 0.225 & 1.07 &0.227 \\ 2000& 0.50 &0.187 & 0.63 &0.199 & 0.69 &0.204 & 0.74 & 0.207 & 0.79 & 0.209&0.97 &0.216 \\ \hline \multicolumn{13}{|c|}{$w=0.3$}\\ \hline 125& 0.57 &0.229&0.68& 0.225&0.74&0.222&0.79&0.220&0.83&0.217&0.99&0.203 \\ 250&0.44&0.226&0.53&0.228&0.57&0.229&0.61&0.230&0.64&0.230&0.94&0.228 \\ 500&0.49&0.220&0.59&0.224&0.65&0.226&0.68&0.227&0.73&0.227&0.88&0.229 \\ 1000&0.42&0.198&0.52&0.208&0.58&0.211&0.62&0.213&0.66&0.215&0.80&0.221 \\ 2000&0.33&0.148&0.43&0.170&0.48&0.178&0.52&0.183&0.56&0.187&0.70&0.199\\ \hline \multicolumn{13}{|c|}{$w=0.5$}\\ \hline 125&0.46&0.231&0.56&0.230&0.61&0.228&0.65&0.228&0.69&0.226&0.82&0.221\\ 250&0.44&0.226&0.53&0.228&0.57&0.229&0.61&0.230&0.64&0.230&0.77&0.231\\ 500&0.39&0.212&0.48&0.218&0.52&0.220&0.56&0.222&0.59&0.223&0.72&0.226\\ 1000&0.32&0.180&0.41&0.193&0.45&0.199&0.49&0.202&0.52&0.205&0.64&0.213\\ 2000&--&--&--&--&--&--&--&--&--&--&0.55&0.178\\ \hline \multicolumn{13}{|c|}{$w=0.8$}\\ \hline 125&0.30&0.226&0.36&0.228&0.39&0.229&0.41&0.230&0.44&0.230&0.53&0.231\\ 250&0.27&0.213&0.33&0.219&0.36&0.221&0.38&0.222&0.41&0.223&0.49&0.227\\ 500&0.23&0.183&0.28&0.196&0.31&0.201&0.34&0.204&0.36&0.207&0.44&0.214\\ 1000&--&--&--&--&--&--&--&--&--&--&0.38&0181\\ 2000&--&--&--&--&--&--&--&--&--&--&--&--\\ \hline \end{tabular}} \tablefoot{See Fig.~A.1, Fig.~A.2 otherwise. Uncertainties of all fits are less than $\approx$10\%.}\vspace*{8mm} \end{table}