\begin{table}%t3
 \caption{Input and derived parameters obtained from a
 $\chi^2$ minimization procedure applied to several data sets: all
 data (BMAD), near-IR $V^2$ and closure
phases (BMIRCP), closure phases alone (BMCP), and near-IR $V^2$
alone (BMIR). There is no uncertainty associated to $\beta$ and
$T_{\rm p}$ because they define two test models based on
theoretical limits for the gravity darkening (see text for
details). Selected dependent parameters for the best models are
also listed.
 }\label{ta:best_model}
  %\centering
\par
\begin{tabular}{cccccc}
\hline\hline
Fixed input parameters & BMAD & BMIRCP & BMCP & BMIR \\
\hline
$v_{\rm eq} \sin i$ ($\!\kms$) & 227 & 227 & 227 & 227 \\
%$T_{\rm p}$ (K) & 8500 & 8500 & 8500 & 8500 \\
$M$ ($\!\msun$) & 1.8 & 1.8 & 1.8 & 1.8 \\
%$R_{\rm eq}$ ($\rsun$) & 2.135 ?? & 2.135 ?? & 2.135 ?? & 1.896 ?? \\
$i$ (deg) & -- & -- & -- & $50\degr$ \\
($\beta,T_{\rm p}$ (K)) & -- & -- & -- & (0.25, 8500) \\
%$T_{\rm p}$ (K) & - & - & - & 8500 \\
%$\beta$ & - & - & - & 0.25 \\
\hline\noalign{\smallskip}
Results of the $\chi^2$ analyses & BMAD & BMIRCP & BMCP & BMIR \\
\hline\noalign{\smallskip}
$\chi^2_{\rm min}/{\rm d.o.f.}$ & 7.3 & 3.2 & 1.5 & 0.50 \\
($\beta,T_{\rm p}$ (K))$^a$ & (0.25, 8500) & (0.25, 8500) & (0.25, 8500) & -- \\
%$\beta$ & 0.25 & 0.25 & 0.25 & - \\
$i$ (deg)       & $55\degr\pm 8\degr$  & $55\degr\pm 14\degr$  & $50\degr \pm 12\degr$ & --  \\
$2a=\deq$ (mas) & $3.83 \pm 0.06$       & $3.88 \pm 0.08$       & $3.88 \pm 0.03$       & $3.44 \pm 0.05$ \\
$R_{\rm eq}\ {}^b$ ($\rsun$) & $2.117\pm0.035$ & $2.145\pm0.045$ & $2.145\pm0.020$ & $1.902\pm0.029$ \\
$\eta$ (deg)    & $92\degr\pm 6 \degr$ & $62\degr\pm 17\degr$  & $95\degr\pm 23 \degr$ & $113\degr\pm 12 \degr$ \\
\hline\noalign{\smallskip}
Dependent parameters                       & BMAD  & BMIRCP & BMCP  & BMIR \\
\hline
%$T_{\rm p}$ & 8500~K\\
$T_{\rm eq}$ (K)                         & 6509 & 6483   & 6171  & 6453 \\
$v_{\rm eq}$ ($\kms$)                    & 277  & 277    & 296   & 296 \\
$v_{\rm eq}/v_{\rm crit}(\%)$         & 76\% & 76\%   & 80\%  & 77\% \\
$f_{\rm rot}$ (cycles/day)               & 2.585 & 2.552 & 2.729 & 3.077 \\
$2b=\oslash_{\rm p}^{\rm max}$ (mas)  & 3.29  & 3.33  & 3.32  & 2.99 \\
$a/b=\deq/\oslash_{\rm p}^{\rm max}$  & 1.164 & 1.165 & 1.169 & 1.149 \\
$R_{\rm eq}/R_{\rm p}$                & 1.237 & 1.240 & 1.275 & 1.243 \\
\hline\end{tabular}
Theoretical limit preferred compared to ($\beta,T_{\rm p}$ (K))~=~(0.08, 8000).\\
From $\deq$ and Hipparcos distance ($d=5.143\pm0.025$~pc).
\end{table}