\begin{table}%T9 \caption{\label{table_HD49933_posterior_global}Global parameter posterior estimates for HD~49933. $i$ represents the inclination angle of the star. $\nu_{\rm s}$ is the rotational splitting, $V_{l=1}$ and $V_{l=2}$ the relative height of $l=1$ and $l=2$~modes, respectively. $\Delta\nu$ represent the large separation.} \small%\centerline { \begin{tabular}{cccc} \hline\hline\noalign{\smallskip} \multicolumn{2}{c}{Model} & $M^1_{\rm A}$ & $M^1_{\rm B}$ \\ \noalign{\smallskip}\hline \multicolumn{2}{c}{Probability} & 62.8\% & 0.2\% \\ \hline \multirow{2}{*}{$i$ $(^\circ$)} & $median$ & $52$ & $23$\\ & $1 \sigma_+/1 \sigma_-$ & $8\hspace{0.5mm}/\hspace{0.5mm}8$ & $17\hspace{0.5mm}/\hspace{0.5mm}15$\\ & $2 \sigma_+$/$2 \sigma_-$ & $20\hspace{0.5mm}/\hspace{0.5mm}18$ & $36\hspace{0.5mm}/\hspace{0.5mm}22$\\\hline \multirow{2}{*}{$\nu_{\rm s}$ ($\mu {\rm{Hz}}$)} & $median$ & $3.20$ & $3.34$\\ & $1 \sigma_+/1 \sigma_-$ & $0.28\hspace{0.5mm}/\hspace{0.5mm}0.26$ & $0.34\hspace{0.5mm}/\hspace{0.5mm}0.35$\\ & $2 \sigma_+/2 \sigma_-$ & $0.59\hspace{0.5mm}/\hspace{0.5mm}0.54$ & $0.69\hspace{0.5mm}/\hspace{0.5mm}0.69$\\\hline \multirow{2}{*}{$V_{l=1}$} & $median$ & $1.00$ & $0.93$\\ & $1 \sigma_+/1 \sigma_-$ & $0.09\hspace{0.5mm}/\hspace{0.5mm}0.09$ & $0.08\hspace{0.5mm}/\hspace{0.5mm}0.09$\\ & $2 \sigma_+/ 2 \sigma$ & $0.20\hspace{0.5mm}/\hspace{0.5mm}0.17$ & $0.19\hspace{0.5mm}/\hspace{0.5mm}0.15$\\\hline \multirow{2}{*}{$\Delta \nu$ ($\mu {\rm{Hz}}$)} & $median$ & $86.04$ & $86.04$\\ & $1 \sigma_+/1 \sigma_-$ & $0.13\hspace{0.5mm}/\hspace{0.5mm}0.14$ & $0.14\hspace{0.5mm}/\hspace{0.5mm}0.16$\\ & $2 \sigma_+/2 \sigma_-$ & $0.28\hspace{0.5mm}/\hspace{0.5mm}0.33$ & $0.28\hspace{0.5mm}/\hspace{0.5mm}0.33$\\ \hline \end{tabular}} %\centerline { \begin{tabular}{cccc} \hline\hline\noalign{\smallskip} \multicolumn{2}{c}{Model} & $M^2_{\rm A}$ & $M^2_{\rm B}$ \\ \noalign{\smallskip}\hline \multicolumn{2}{c}{Probability} & 14\% & 23\% \\ \hline \multirow{2}{*}{$i$ $(^\circ$)} & $median$ & $50$ & $28$\\ & $1 \sigma_+/1 \sigma_-$ & $8\hspace{0.5mm}/\hspace{0.5mm}7$ & $19\hspace{0.5mm}/\hspace{0.5mm}17$\\ & $2 \sigma_+$/$2 \sigma_-$ & $15\hspace{0.5mm}/\hspace{0.5mm}21$ & $39\hspace{0.5mm}/\hspace{0.5mm}27$\\\hline \multirow{2}{*}{$\nu_{\rm s}$ ($\mu {\rm{Hz}}$)} & $median$ & $3.17$ & $3.37$\\ & $1 \sigma_+/1 \sigma_-$ & $0.27\hspace{0.5mm}/\hspace{0.5mm}0.25$ & $0.32\hspace{0.5mm}/\hspace{0.5mm}0.35$\\ & $2 \sigma_+/2 \sigma_-$ & $0.57\hspace{0.5mm}/\hspace{0.5mm}0.52$ & $0.68\hspace{0.5mm}/\hspace{0.5mm}0.70$\\\hline \multirow{2}{*}{$V_{l=1}$} & $median$ & $1.11$ & $1.22$\\ & $1 \sigma_+/1 \sigma_-$ & $0.16\hspace{0.5mm}/\hspace{0.5mm}0.11$ & $0.22\hspace{0.5mm}/\hspace{0.5mm}0.16$\\ & $2 \sigma_+/ 2 \sigma$ & $0.36\hspace{0.5mm}/\hspace{0.5mm}0.21$ & $0.52\hspace{0.5mm}/\hspace{0.5mm}0.28$\\\hline \multirow{2}{*}{$V_{l=2}$} & $median$ & $0.13$ & $0.35$\\ & $1 \sigma_+/1 \sigma_-$ & $0.14\hspace{0.5mm}/\hspace{0.5mm}0.09$ & $0.21\hspace{0.5mm}/\hspace{0.5mm}0.15$\\ & $2 \sigma_+/2 \sigma_-$ & $0.34\hspace{0.5mm}/\hspace{0.5mm}0.13$ & $0.50\hspace{0.5mm}/\hspace{0.5mm}0.27$\\\hline \multirow{2}{*}{$\Delta \nu$ ($\mu {\rm{Hz}}$)} & $median$ & $86.05$ & $86.00$\\ & $1 \sigma_+/1 \sigma_-$ & $0.13\hspace{0.5mm}/\hspace{0.5mm}0.15$ & $0.16\hspace{0.5mm}/\hspace{0.5mm}0.19$\\ & $2 \sigma_+/2 \sigma_-$ & $0.30\hspace{0.5mm}/\hspace{0.5mm}0.42$ & $0.32\hspace{0.5mm}/\hspace{0.5mm}0.42$\\\hline \end{tabular} } \smallskip $i$ represents the inclination angle of the star. $\nu_{\rm s}$ is the rotational splitting, $V_{l=1}$ and $V_{l=2}$ the relative height of $l=1$ and $l=2$~modes, respectively. $\Delta\nu$ represent the large separation. \end{table}