\begin{table}%t1
\caption{\label{tab1}CoRot stellar limb-darkening coefficients.}
%\centerline
 {\begin{tabular}{lllllllllllll} 
\hline\hline  
\noalign{\smallskip}
$T_{\rm eff}$  & Logg  & [M/H]& Linear & \multicolumn{2}{c}{\underline{~~~~Quadratic~~~~}}   &  \multicolumn{3}{c}{\underline{~~3 parameter non-linear~~} }&    \multicolumn{4}{c}{\underline{~~~~~~~~~4 parameter non-linear~~~~~~~~~}} \\ 
(K)       &         &         & $u$   & $a$ & $b$             &$c_2$ & $c_3$& $c_4$   &  $c_1$  &  $c_2$  &  $c_3$   & $c_4$ \\
\hline %---------------------------------------------------------------------------------------------
 4000 &    4.50 &    0.00 &  0.6690 &  0.4880 &  0.2241 &  1.6776 & --1.5366 &  0.6067 &  0.5651 &  0.1233 &  0.2108 & --0.0817 \\
 4250 &    4.50 &    0.00 &  0.7091 &  0.6332 &  0.0939 &  1.2813 & --0.9538 &  0.4217 &  0.6895 & --0.6083 &  1.1653 & --0.4118 \\
 4500 &    4.50 &    0.00 &  0.7104 &  0.6528 &  0.0714 &  1.1266 & --0.6859 &  0.2995 &  0.7336 & --0.8830 &  1.5672 & --0.5866 \\
 4750 &    4.50 &    0.00 &  0.6975 &  0.6184 &  0.0980 &  1.1159 & --0.6250 &  0.2399 &  0.7099 & --0.8275 &  1.5532 & --0.6164 \\
 5000 &    4.50 &    0.00 &  0.6831 &  0.5767 &  0.1317 &  1.1434 & --0.6285 &  0.2081 &  0.6995 & --0.7701 &  1.5147 & --0.6341 \\
 5250 &    4.50 &    0.00 &  0.6656 &  0.5301 &  0.1677 &  1.1917 & --0.6760 &  0.1978 &  0.6904 & --0.6941 &  1.4338 & --0.6306 \\
 5500 &    4.50 &    0.00 &  0.6464 &  0.4830 &  0.2023 &  1.2571 & --0.7658 &  0.2118 &  0.6560 & --0.5308 &  1.2309 & --0.5712 \\
 5750 &    4.50 &    0.00 &  0.6280 &  0.4412 &  0.2312 &  1.3297 & --0.8831 &  0.2462 &  0.6060 & --0.3196 &  0.9569 & --0.4745 \\
 6000 &    4.50 &    0.00 &  0.6096 &  0.4008 &  0.2584 &  1.4350 & --1.0719 &  0.3211 &  0.5409 & --0.0366 &  0.5688 & --0.3213 \\
 6250 &    4.50 &    0.00 &  0.5937 &  0.3695 &  0.2774 &  1.5321 & --1.2593 &  0.4034 &  0.4857 &  0.2088 &  0.2177 & --0.1753 \\
 6500 &    4.50 &    0.00 &  0.5797 &  0.3423 &  0.2939 &  1.6369 & --1.4647 &  0.4980 &  0.4256 &  0.4731 & --0.1624 & --0.0132 \\
 6750 &    4.50 &    0.00 &  0.5687 &  0.3210 &  0.3065 &  1.7227 & --1.6343 &  0.5770 &  0.3898 &  0.6510 & --0.4303 &  0.1030 \\
 7000 &    4.50 &    0.00 &  0.5602 &  0.3033 &  0.3180 &  1.7944 & --1.7717 &  0.6398 &  0.3682 &  0.7769 & --0.6243 &  0.1868 \\
 7250 &    4.50 &    0.00 &  0.5531 &  0.2866 &  0.3299 &  1.8515 & --1.8757 &  0.6842 &  0.3622 &  0.8469 & --0.7397 &  0.2348 \\
 7500 &    4.50 &    0.00 &  0.5479 &  0.2708 &  0.3429 &  1.8972 & --1.9489 &  0.7108 &  0.3552 &  0.9092 & --0.8296 &  0.2673 \\
\hline 
\end{tabular}}
\par
\tablefoot {The full version of this table can be found at the CDS 
and at \protect\url {http://vega.lpl.arizona.edu/~singd/} which also includes an IDL
program to read and interpolate the table.   The full table
covers: $T_{\rm eff}$ from 3500 to 50~000~K, log $g$ from~0.0 to~5.0, and log
[M/H] from +1 to --0.5 with a turbulent velocity of 2~km~s$^{-1}$.  The
linear, quadratic, and 3~parameter non-linear laws are calculated
with the improved calculation method using 15-ATLAS angles with the limb intensities excluded, while the 4~parameter non-linear law was calculated
with all 17~angles including those at the limb (see text).}
\vspace*{4mm}
\end{table}