\begin{table}%t4
\caption{Surface brightness relations using $\it BVR{I}JHK$ based colors:
$F_\lambda (C_\lambda - C_1) = a_\lambda (C_\lambda - C_1)+ b_\lambda$.
 The 1$\sigma$~errors in each coefficient are given in superscript,
{\it multiplied by 1000} to reduce the length of each line, i.e. $-0.2944^{2.4}$~stands for
$-0.2944 \pm 0.0024$. The standard deviation of the residuals~$\sigma$ is listed for each SB~relation, together with the reduced~$\chi^2$ of the fit and the total number of measurements~$N_{\rm meas}$ taken into account (photometric data were unavailable for some stars).}
\label{SB_relations_table}
%\setcounter{table}{10}
%\centering
\par
\begin{tabular}{lrrrrrrr}
\hline
\hline
$C_\lambda\ \downarrow$ & $C_1\rightarrow B$ & $V$ & $R$ & $I$ & $J$ & $H$ & $K$ \\
\hline 
$a_B$ &  & $-0.2944^{2.4} $ & $-0.1978^{1.6} $ & $-0.1800^{0.9} $ & $-0.1401^{0.8} $ & $-0.1224^{0.7} $ & $-0.1199^{0.6} $ \\
$b_B$ & $ $ & $ 3.8813^{1.1} $ & $3.8719^{0.9} $ & $3.9283^{0.6} $ & $3.9297^{0.8} $ & $3.9423^{0.8} $ & $3.9460^{0.7} $ \\
$\sigma_B / \chi^2_{\rm red}$ &  & $0.017/1.20$ & $0.008/0.46$ & $0.015/1.41$ & $ 0.015/0.65$ & $ 0.014/0.63$ & $ 0.015/0.75$\\
$N_{\rm meas}$ &  & $145$ & $34$ & $119$ & $127$ & $100$ & $128$\\
\hline 
$a_V$ & $0.1956^{1.8} $ &  & $-0.3789^{10.0} $ & $-0.3077^{2.4} $ & $-0.1759^{1.4} $ & $-0.1379^{1.0} $ & $-0.1336^{0.8} $ \\
$b_V$ & $ 3.8828^{0.9} $ &  & $ 3.8516^{2.2} $ & $3.9617^{0.7} $ & $3.9407^{0.7} $ & $3.9490^{0.7} $ & $3.9530^{0.6} $ \\
$\sigma_V / \chi^2_{\rm red}$ & $0.017/1.75$ &  & $0.014/0.75$ & $0.016/0.89$ & $ 0.015/0.57$ & $ 0.014/0.58$ & $ 0.015/0.70$\\
$N_{\rm meas}$ & $145$ &  & $34$ & $119$ & $127$ & $100$ & $128$\\
\hline 
$a_R$ & $0.0994^{1.1} $ & $0.2868^{8.0} $ &  & $-1.2894^{26.4} $ & $-0.2240^{3.2} $ & $-0.1458^{1.6} $ & $-0.1386^{1.5} $ \\
$b_R$ & $ 3.8746^{0.6} $ & $3.8554^{1.7} $ &  & $ 4.3248^{2.9} $ & $3.9532^{0.7} $ & $3.9426^{0.6} $ & $3.9430^{0.6} $ \\
$\sigma_R / \chi^2_{\rm red}$ & $0.008/0.72$ & $0.015/1.10$ &  & $0.060/1.19$ & $0.006/0.12$ & $ 0.005/0.14$ & $ 0.005/0.18$\\
$N_{\rm meas}$ & $34$ & $34$ &  & $34$ & $34$ & $34$ & $34$\\
\hline 
$a_I$ & $0.0808^{0.6} $ & $0.2105^{1.9} $ & $1.8067^{38.4} $ &  & $-0.2854^{7.1} $ & $-0.1713^{2.6} $ & $-0.1630^{2.0} $ \\
$b_I$ & $ 3.9304^{0.4} $ & $3.9642^{0.5} $ & $4.6102^{4.3} $ &  & $ 3.9323^{1.7} $ & $3.9491^{0.9} $ & $3.9548^{0.8} $ \\
$\sigma_I / \chi^2_{\rm red}$ & $0.015/2.23$ & $0.016/1.37$ & $0.089/1.35$ &  & $0.013/0.34$ & $0.010/0.40$ & $ 0.013/0.50$\\
$N_{\rm meas}$ & $119$ & $119$ & $34$ &  & $101$ & $74$ & $102$\\
\hline 
$a_J$ & $0.0399^{0.6} $ & $0.0753^{1.1} $ & $0.1243^{2.2} $ & $0.1877^{5.3} $ &  & $-0.2988^{10.2} $ & $-0.2614^{6.8} $ \\
$b_J$ & $ 3.9295^{0.6} $ & $3.9403^{0.6} $ & $3.9536^{0.5} $ & $3.9335^{1.2} $ &  & $ 3.9679^{1.7} $ & $3.9722^{1.3} $ \\
$\sigma_J / \chi^2_{\rm red}$ & $ 0.015/0.89$ & $ 0.015/0.86$ & $0.006/0.20$ & $0.013/0.54$ &  & $0.015/0.21$ & $0.016/0.29$\\
$N_{\rm meas}$ & $127$ & $127$ & $34$ & $101$ &  & $100$ & $127$\\
\hline 
$a_H$ & $0.0223^{0.5} $ & $0.0375^{0.8} $ & $0.0460^{1.1} $ & $0.0700^{1.8} $ & $0.2060^{7.2} $ &  & $-2.3858^{309.8} $ \\
$b_H$ & $ 3.9422^{0.6} $ & $3.9487^{0.5} $ & $3.9428^{0.4} $ & $3.9480^{0.7} $ & $3.9710^{1.2} $ &  & $ 4.0653^{8.4} $ \\
$\sigma_H / \chi^2_{\rm red}$ & $ 0.014/0.77$ & $ 0.014/0.74$ & $0.005/0.22$ & $0.010/0.62$ & $0.015/0.35$ &  & $0.029/0.03$\\
$N_{\rm meas}$ & $100$ & $100$ & $34$ & $74$ & $100$ &  & $100$\\
\hline 
$a_K$ & $0.0197^{0.5} $ & $0.0331^{0.7} $ & $0.0389^{1.1} $ & $0.0618^{1.4} $ & $0.1704^{4.7} $ & $2.7121^{354.8} $ &  \\
$b_K$ & $ 3.9458^{0.5} $ & $3.9524^{0.5} $ & $3.9435^{0.4} $ & $3.9539^{0.5} $ & $3.9767^{0.9} $ & $4.0970^{9.6} $ &  \\
$\sigma_K / \chi^2_{\rm red}$ & $ 0.015/0.94$ & $ 0.015/0.92$ & $0.005/0.28$ & $ 0.012/0.80$ & $0.016/0.51$ & $0.034/0.03$ & \\
$N_{\rm meas}$ & $128$ & $128$ & $34$ & $102$ & $127$ & $100$ & \\
\hline
\end{tabular}
\end{table}