\begin{table}%t2
%\centering
\par
\caption{Summary of the syntheses of the external region for different settings for the non stellar parameters. In the first column, BB means "blackbody'', PL "power law'', $D$ corresponds to the synthetic distance obtained. (1) the contribution of the power law is fixed to zero, (2) same as the previous one with the reddening parameter $E(B-V)$ fixed to 0.6, (3) same as (1) with the blackbody contribution fixed to zero. The fixed parameters are indicated in bold font.}
\label{res_reg}
\small
\begin{tabular}{lccccc}
\hline\hline
Spectral type       & lifetime (year)       &    1                  &    2                  &    3           \\
\hline
A0V                 & $2\times10^8$         & 0\%                   & 0\%                   & 0\%            \\
F0IV                & $2\times10^9$         & 21.6\%                & 21.6\%                & 23.2\%         \\
F2V                 & $10^9$           & 9.0\%                 & 8.2\%                 & 0\%            \\
rG1V                & $4\times10^9$         & 7.3\%                 & 8.3\%                 & 8.5\%         \\
G1.5V               & $6\times10^9$         & 0\%                   & 0\%                   & 0\%            \\
rG4V                & $10^{10}$        & 0\%                   & 0\%                   & 0\%            \\
K0V                 & $2\times10^{10}$      & 0\%                   & 0\%                   & 0\%            \\
K3V                 & $3\times10^{10}$      & 0\%                   & 0\%                   & 0\%            \\
rK3V                & $3\times10^{10}$      & 0\%                   & 0\%                   & 0\%            \\
K4V                 & $4\times10^{10}$      & 0\%                   & 0\%                   & 0\%            \\
wK5V                & $4\times10^{10}$      & 0\%                   & 0\%                   & 0\%            \\
M0V                 & $\geq$$4\times10^{10}$ & 0\%                   & 0\%                   & 0\%            \\
rM1V                & $\geq$$4\times10^{10}$ & 0\%                   & 0\%                   & 0\%            \\
M1.5V               & $\geq$$4\times10^{10}$ & 0\%                   & 0\%                   & 0\%            \\
M3V                 & $\geq$$4\times10^{10}$ & 26.8\%                & 27.4\%                & 35.2\%         \\
\hline                                             
F3III               & $2\times10^{9}$       & 0\%                   & 0\%                   & 0\%            \\
F8III               & $10^9$           & 0\%                   & 0\%                   & 0\%            \\
wG6III              & $8\times10^{9}$       & 0\%                   & 0\%                   & 0\%            \\
K1III               & $7\times10^{9}$       & 0\%                   & 0\%                   & 0\%            \\
K3III               & $6\times10^{9}$       & 0\%                   & 0\%                   & 0\%            \\
K5-M0III            & $6\times10^{9}$       & 0\%                   & 0\%                   & 0\%            \\
M1IIIab             & $5\times10^{9}$       & 0\%                   & 0\%                   & 0\%            \\
M4III               & $3\times10^{9}$       & 36.1\%                & 34.5\%                & 33.1\%         \\
\hline                                             
F0I                 & $10^7$           & 0\%                   & 0\%                   & 0\%            \\
F5I                 & $10^7$           & 0\%                   & 0\%                   & 0\%            \\
rF8Ib               & $10^7$           & 0\%                   & 0\%                   & 0\%            \\
G0Ib                & $2\times10^{7}$       & 0\%                   & 0\%                   & 0\%            \\
rK2I                & $10^7$           & 0\%                   & 0\%                   & 0\%            \\
K4I                 & $10^7$           & 0\%                   & 0\%                   & 0\%            \\
M2I                 & 2--8$\times10^6$       & 0\%                   & 0\%                   & 0\%            \\
\hline
\hline
Stellar contrib.    & & 97.0\%                & 98.3\%                &   100\%           \\
BB ($T_{\rm{eff}}$) & & 3.0\% (300 K)          & 1.7\% (300 K)          & \textbf{0\%}   \\
PL ($\alpha_{\nu}$) & & \textbf{0\%}          & \textbf{0\%}          & \textbf{0\%}   \\
$E(B-V)$              & & 0                     & \textbf{0.6}          & 1.10           \\
\hline
$D$    & & $4.03\times10^{-4}$        & $4.18\times10^{-4}$        & $4.39 \times10^{-4}$ \\
\hline
\end{tabular}
\end{table}