\begin{table}%t3
\caption{\label{estw}Extreme-UV flux excess factors~$w$ as a function of the effective temperature 
and $\gamma$, needed to explain the $\Delta T_{\rm eff}^f$ underestimations affecting the $T_{\rm eff}^f$~values for supergiants.}
\small%\centerline
 {
\begin{tabular}{cr|rrr}
\hline
\hline
     &  & \multicolumn{3}{|c}{$w(\gamma)$} \\
 $T_{\rm eff}$ &  $\Delta T_{\rm eff}^f$ & $\gamma = 1.0$ & $\gamma = 1.5$ & $\gamma = 2.0$ \\
        K      &             K \ \ \ \ \ &                  &                  &                  \\
\hline 
10~000 &  $-$500 & 10.73 &  9.96 &  9.19 \\
      & $-$1000 & 21.94 & 21.02 & 20.09 \\    
      & $-$1500 & 34.80 & 33.69 & 32.59 \\    
      & $-$2000 & 49.45 & 48.14 & 46.83 \\    
\hline 
15~000 &  $-$500 & 1.78 &  1.36 &  0.92 \\
      & $-$1000 & 2.68 &  2.18 &  1.68 \\    
      & $-$1500 & 3.64 &  3.08 &  2.52 \\    
      & $-$2000 & 4.70 &  4.06 &  3.43 \\    
\hline 
20~000 &  $-$500 & 1.32 &  1.05 &  0.79 \\
      & $-$1000 & 1.67 &  1.37 &  1.08 \\    
      & $-$1500 & 2.04 &  1.71 &  1.39 \\    
      & $-$2000 & 2.43 &  2.08 &  1.72 \\    
\hline 
25~000 &  $-$500 & 1.20 &  1.06 &  0.92 \\
      & $-$1000 & 1.41 &  1.27 &  1.11 \\    
      & $-$1500 & 1.64 &  1.48 &  1.32 \\    
      & $-$2000 & 1.89 &  1.71 &  1.53 \\    
\hline 
30~000 &  $-$500 & 1.14 &  1.04 &  0.95 \\
      & $-$1000 & 1.28 &  1.18 &  1.08 \\    
      & $-$1500 & 1.43 &  1.32 &  1.22 \\    
      & $-$2000 & 1.59 &  1.47 &  1.36 \\    
\hline
\end{tabular}}
\medskip
The estimates are done for $\log g=3.0$.
\end{table}