\begin{table}%T2
\par
\caption{\label{tab_angdirfp}The best-fit spin and inclination angle values inferred for the three cases of the
limb darkening/brightening law in the \textscown{kyl3cr} model.}
\small%\centerline
{
\begin{tabular}{c|ccc} 
\hline\hline
  & Case 1 & Case 2 & Case 3 \\
   \hline
  & \multicolumn{3}{c}{$a_{\rm f}=0.7$, $\theta_{\rm f}=30^{\circ}$}\\ 
  $a$ & $0.60^{\rm +0.02}_{-0.01}$ & $0.69^{\rm +0.01}_{-0.01}$ & $0.76^{\rm +0.01}_{-0.02}$ \\ 
 $\theta_{\rm o}$ [deg] & $29.8^{\rm +0.2}_{-0.3}$ & $29.7^{\rm +0.3}_{-0.3}$ & $29.6^{\rm +0.3}_{-0.3}$ \\
  $\chi^{2}/\nu$ & 	1.33	   & 1.27	    & 1.39 \\
\hline 
  & \multicolumn{3}{c}{$a_{\rm f}=0.7$, $\theta_{\rm f}=60^{\circ}$}\\ 
   $a$ & $0.65^{\rm +0.03}_{-0.05}$ & $0.73^{\rm +0.03}_{-0.04}$ & $0.82^{\rm +0.02}_{-0.02}$ \\ 
  $\theta_{\rm o}$ [deg] & $60.0^{\rm +0.1}_{-0.2}$ & $60.0^{\rm +0.2}_{-0.1}$ & $60.3^{\rm +0.1}_{-0.1}$ \\
 $\chi^{2}/\nu$ &	1.87	   & 1.00	    & 1.48  \\
\hline 
& \multicolumn{3}{c}{$a_{\rm f}=0.998$, $\theta_{\rm f}=30^{\circ}$}\\
  $a$ & $0.956^{\rm +0.005}_{-0.005}$ & $1^{\rm +0}_{-1{\rm E}-3}$ & $1^{\rm +0}_{-8{\rm E}-5}$ \\ 
  $\theta_{\rm o}$ [deg] & $29.9^{\rm +0.3}_{-0.3}$ & $29.5^{\rm +0.3}_{-0.3}$ & $28.7^{\rm +0.4}_{-0.2}$  \\ 
 $\chi^{2}/\nu$ & 	1.30	   & 1.58	    & 5.08 \\
\hline 
  & \multicolumn{3}{c}{$a_{\rm f}=0.998$, $\theta_{\rm f}=60^{\circ}$}\\
  $a$ & $0.982^{\rm +0.002}_{-0.002}$ & $1^{\rm +0}_{-3{\rm E}-4}$ & $1^{\rm +0}_{-6{\rm E}-5}$ \\ 
 $\theta_{\rm o}$ [deg] & $59.9^{\rm +0.1}_{-0.2}$ & $60.1^{\rm +0.1}_{-0.2}$ & $60.2^{\rm +0.1}_{-0.2}$ \\  $\chi^{2}/\nu$ & 	1.24	   & 1.02	    & 2.51 \\
 \hline 
\end{tabular} }
\smallskip
Data were generated using the \textscown{kyl2cr} model. See the main text for details. 
The quoted errors correspond to the 90$\%$ confidence level.
\end{table}