\begin{table}%t4
\caption{Phase lags $\Delta\varphi$ (in units of $2\pi$) between $T_{\rm eff}$, radial velocity and $\log{g}$ derived from the Steward and NOT data before and after the cleaning. Positive values mean that the maximum of the radial velocity or gravity curve occurs before that of $T_{\rm eff}$ or $\log{g}$. The values for the radial velocities are taken from Paper~I.}
\label{tab_phaselag_TRV}
%\centering
\small
\begin{tabular}{lcccccccc}
\hline\hline
& \multicolumn{4}{c}{Steward} & \multicolumn{4}{c}{NOT} \\
& $\Delta\varphi (T_{{\rm eff}}-RV)$ & $\Delta\varphi(T_{{\rm eff}}-\log{g})$ && $\Delta\varphi (\log{g}-RV)$ & $\Delta\varphi (T_{{\rm eff}}-RV)$ & $\Delta\varphi(T_{{\rm eff}}-\log{g})$ && $\Delta\varphi (\log{g}-RV)$ \\
Name & cleaning & no cleaning & cleaning & cleaning & cleaning & no cleaning & cleaning & cleaning\\
\hline
f1 & +0.293 & +0.040 & --      & +0.253 & +0.311 & +0.039 & --      & +0.272 \\
f2 & +0.289 & +0.054 & +0.054 & +0.235 & +0.351 & +0.054 & +0.053 & +0.300 \\
f3 & --0.131 & +0.063 & +0.193 & --0.275 & +0.184 & +0.019 & +0.031 & +0.153 \\
f4 & +0.260 & --0.016 & --0.011 & +0.271 & +0.280 & --0.007 & +0.007 & +0.298 \\
f5 & +0.268 & --      & +0.034 & +0.234 & --      & --      & --      & --      \\
f6 & +0.219 & --      & --0.013 & +0.231 & --      & --      & --      & --      \\
f7 & +0.364 & --      & --0.006 & +0.370 & --      & --      & --      & --      \\
f8 & +0.238 & --      & +0.048 & +0.182 & --      & --      & --      & --      \\
\hline
\end{tabular}
\end{table}