\begin{table}%t2
%\centering
\par
\caption{Sets of parameters of fitted models. Meaning of numeric labels: 
1 (fixed masses and $\Delta\nu$, $\delta\nu$ as seismic constraints); 
2 (as 1 but with variable masses); 3 (as 2 but using $r_{02}(n)$ as seismic constraint);
4 (as 3 but including convective overshooting) and 
5 (as 3 but using Asplund et al. 2005 instead of Grevese \& Noels 1993).
Meaning of  alphabetic labels: nd (non diffusion models); f (FST convection treatment); 
e (CEFF EoS instead of OPAL01 one);
c (a unique mixing-length parameter);
ns (fit without seismic constraints);  only for the case 1, t  refers to effective temperature as constraint, and
$r$~to radius as constraint.}
\begin{tabular}{ccccccccccccccc}
\hline\hline
Model  &  Conv  &  Diff  &  EoS  & fitting &  $M$/\msun  & $\epsilon$ & $\alpha$  & $\epsilon$ &  Age & $\epsilon$ 
&  $Y_0$ & $\epsilon$ &  $Z_0$ & $\epsilon$ \\
% mfix averaged_sep teff
\hline
\par
A1t     & MLT&  Y  & OPAL &$ T_{\rm eff}$, $M_{\rm fix}$ & 1.105   &  & 1.99 & 0.11& 7.0  & 0.5 &  0.273 & 
0.016 & 0.0316  & 0.003 \\
B1t     & MLT&  Y  & OPAL & $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ & 0.934   & & 2.22 & 0.07& 7.0  & 
0.5 &  0.273 & 0.016 & 0.0316  & 0.003 \\
% mfix averaged_sep radii
\hline
A1r     & MLT&  Y  & OPAL & $M_{\rm fix}$& 1.105  & & 2.00  & 0.11 & 6.8  & 0.5 & 0.276  & 0.015 & 0.0325  & 
0.003\\
B1r     & MLT&  Y  & OPAL & $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$& 0.934  & & 2.24  & 0.07 & 6.8  & 
0.5 & 0.276  & 0.015 & 0.0325  & 0.003\\
% mfix averaged_sep radii+atmo
%A1ra    & MLT&  Y  & OPAL & $\rm  R$, $\rm M_{\rm fix}$, & 1.105  & & 2.00  & 0.11 & 6.8  & 0.6 & 0.275  & 
%0.016 & 0.0321 & 0.003 \\
%B1ra     & MLT&  Y  & OPAL & Atmo& 0.934  & & 2.27  & 0.07& 6.8  & 0.6 & 0.275  & 0.016 & 0.0321 & 0.003 \\
% \hline
% mfix averaged_sep no diff
\hline
A1nd     & MLT&  N  & OPAL & $M_{\rm fix}$ & 1.105  &  &   1.84  & 0.10 &   7.1  & 0.6 &   0.265  & 0.015 &   
0.0284   & 0.003\\
B1nd     & MLT&  N  & OPAL & $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$& 0.934  &  &   1.99  & 0.05 &   
7.1  & 0.6 &   0.265  & 0.015 &   0.0284   & 0.003\\
% mfix averaged_sep CEFF
\hline
A1e     & MLT&  Y  & CEFF  & $M_{\rm fix}$ & 1.105  &  &  1.93   & 0.10 &   6.7  & 0.6 &   0.281  & 0.015 &   
0.0324   & 0.003\\
B1e     & MLT&  Y  & CEFF  &$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ & 0.934  &  &  2.08   & 0.06 &   
6.7  & 0.6 &   0.281  & 0.015 &   0.0324   & 0.003\\
\hline
% mfix rox + atmo
A1-3    & MLT &  Y  & OPAL &  $M_{\rm fix}$, & 1.105  & & 1.86  & 0.06 & 6.0  & 0.4 & 0.277  & 0.017 & 0.0302 & 
0.003 \\
B1-3    & MLT&  Y  & OPAL & $r_{02}(n)$ & 0.934  & & 2.18  & 0.05& 6.0  & 0.4 & 0.277  & 0.017 & 0.0302 & 0.003 
\\
\hline
% changing mass + averaged_sep
A2     & MLT&  Y  & OPAL & $M_{\rm var}$& 1.104  & 0.006 & 1.96  & 0.11 & 6.4  & 0.6& 0.282  & 0.016& 0.0326  & 
0.003\\
B2     & MLT&  Y  & OPAL & $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$& 0.926  & 0.005 & 2.11  & 0.10 & 
6.4  & 0.6& 0.282  & 0.016& 0.0326  & 0.003\\
\hline
% changing mass + averaged_sep + 1 MLT
A2c     & MLT&  Y  & OPAL & $M_{\rm var}$ $\alpha_{\rm A}=\alpha_{\rm B}$& 1.107  & 0.005 & 1.78  & 0.08 & 5.4  
& 0.5& 0.284  & 0.016& 0.0305  & 0.003\\
B2c     & MLT&  Y  & OPAL & $\langle\Delta\nu\rangle, \langle\delta\nu\rangle$& 0.919  & 0.004             &  "   
& "   & 5.4  & 0.5& 0.284  & 0.016& 0.0305  & 0.003\\
\hline
% changing mass + averaged_sep + FST
A2f     & FST&  Y  & OPAL &$M_{\rm var}$ & 1.105 & 0.006   & 0.77  & 0.05 & 6.4  & 0.6 & 0.282  & 0.016 & 0.0325  
& 0.003\\
B2f     & FST&  Y  & OPAL &$\langle\Delta\nu\rangle, \langle\delta\nu\rangle$ & 0.927 & 0.005   & 0.89  & 0.05 & 
6.4  & 0.6 & 0.282  & 0.016 & 0.0325  & 0.003\\
\hline
% changing mass + averaged_sep + 1 punto SSEP B
%A2s     & MLT&  Y  & OPAL &$\rm M_{\rm var}$ & 1.105 & 0.006   & 1.92  & 0.11 & 6.1  & 0.6 & 0.285  & 0.016 & 
%0.0325  & 0.003\\
%B2s     & MLT&  Y  & OPAL & 1 Point $\delta\nu_B$& 0.926 & 0.005   & 2.07  & 0.10 & 6.1  & 0.6 & 0.285  & 0.016 
%& 0.0325  & 0.003\\
%\hline
% rox mlt
A3     & MLT&  Y  & OPAL & $M_{\rm var}$ & 1.110  & 0.006 &   1.90  & 0.07  &   5.8  & 0.2 &   0.284  & 0.014 &   
0.0322   & 0.003\\
B3     & MLT&  Y  & OPAL & $r_{02}(n)$ & 0.927  & 0.005 &   2.05  & 0.08 &   5.8  & 0.2 &   0.284  & 0.014 &   
0.0322   & 0.003\\
\hline
% rox 1 param mlt
A3c     & MLT&  Y  & OPAL &$M_{\rm var}$, $\alpha_{\rm A}=\alpha_{\rm B}$& 1.113  & 0.006 &   1.95  & 0.05 &   
5.8  & 0.5 &   0.276  & 0.017 &   0.0317   & 0.003\\
B3c     & MLT&  Y  & OPAL &$r_{02}(n)$ & 0.922  & 0.004 &    "  & " &   5.8  & 0.5 &   0.276  & 0.017 &   
0.0317   & 0.003\\
 \hline
% rox mlt sun
$\rm A3\alpha_{\odot}$     & MLT&  Y  & OPAL &$M_{\rm var}$, $\alpha=\alpha_{\odot}$ & 1.114  & 0.006 &   1.91  &  
&   5.7  & 0.2 &   0.283  & 0.010 &   0.0314   & 0.002\\
$\rm B3\alpha_{\odot}$    & MLT&  Y  & OPAL & $r_{02}(n)$ & 0.921  & 0.004 &    "  &  &   5.7  & 0.2 &   0.283  
& 0.010 &   0.0314   & 0.002\\
\hline
% rox fst atmos no bug
A3f     &  FST  &  Y  & OPAL &$M_{\rm var}$ & 1.110  & 0.006 &   0.74  & 0.03  &   5.8  & 0.2 &   0.285 & 0.015 
&   0.0323   & 0.003 \\
B3f     &  FST  &  Y  & OPAL & $r_{02}(n)$ & 0.927  & 0.005 &   0.86  & 0.03 &   5.8  & 0.2 &   0.285  & 0.015 &   
0.0323   & 0.003\\
\hline
% rox no diff
A3nd     & MLT&  N  & OPAL &$M_{\rm var}$& 1.108  & 0.006 &   1.84  & 0.07 &   6.3  & 0.4 &   0.270  & 0.015 &   
0.0281   & 0.003\\
B3nd     & MLT&  N  & OPAL & $r_{02}(n)$ & 0.929  & 0.005 &   1.99  & 0.07 &   6.3  & 0.4 &   0.270  & 0.015 &   
0.0281   & 0.003\\
% rox CEFF
\hline
A3e     & MLT&  Y  & CEFF &$M_{\rm var}$ & 1.109  & 0.006 &   1.85  & 0.07 &   5.7  & 0.3 &   0.288  & 0.015 &   
0.0322   & 0.003\\
B3e     & MLT&  Y  & CEFF & $r_{02}(n)$& 0.927  & 0.005 &   1.93  & 0.07 &   5.7 & 0.3 &   0.288  & 0.015 &   
0.0322   & 0.003\\
\hline
% rox fst
%A4     &  FST  &  Y  & OPAL &$\rm M_{\rm var}$, Rox & 1.110  & 0.006 &   0.74  & 0.03  &   5.8  & 0.4 &   0.284  
%& 0.015 &   0.0321   & 0.003 \\
%B4     &  FST  &  Y  & OPAL & & 0.927  & 0.005 &   0.87  & 0.03 &   5.8  & 0.4 &   0.284  & 0.015 &   0.0321   
%& 0.003\\
% \hline
\par
% rox fst atmos no bug + 2 sigma massB
%A4as     &  FST  &  Y  & OPAL &$\rm M_{\rm var}$, Rox & 1.107  & 0.006 &   0.73  & 0.03  &   5.7  & 0.4 &   
%0.288 & 0.015 &   0.0323   & 0.003 \\
%B4as     &  FST  &  Y  & OPAL &  $2\sigma  M_B$ & 0.921  & 0.007 &   0.83  & 0.04 &   5.7  & 0.4 &   0.288  & 
%0.015 &   0.0323   & 0.003\\
% rox overshoot
A4  &  OV  &  Y  & OPAL &$M_{\rm var}$ & 1.112  & 0.006 &  1.77   & 0.05  &   5.2  & 0.2 &   0.285  & 0.015 &   
0.0299   & 0.003 \\
B4  &  OV  &  Y  & OPAL & $r_{02}(n)$& 0.925  & 0.005 &  1.98   & 0.07 &   5.2  & 0.2 &   0.285  & 0.015 &   
0.0299   & 0.003\\
% rox mix2
\hline
A5 & MLT&  Y  & OPAL &$M_{\rm var}$, A04 mix & 1.109  & 0.006  &  1.74   & 0.06  &   5.9  & 0.3 &   0.280  & 
0.013  &   0.0239   & 0.002\\
B5  & MLT&  Y  & OPAL & $r_{02}(n)$ & 0.927  & 0.005 &  1.84   & 0.07 &   5.9  & 0.3 &   0.280  & 0.013 &   
0.0239   & 0.002\\
% no seismology
\hline
Ans     & MLT&  Y  & OPAL &$M_{\rm var}$,& 1.105  & 0.007 &   2.40  & 0.33  &   8.9  & 1.8 &   0.259  & 0.021 &   
0.0340   & 0.003 \\
Bns     & MLT&  Y  & OPAL & No Seismo  & 0.934  & 0.006 &   2.61  & 0.31 &   8.9  & 1.8 &   0.259  & 0.021 &   
0.0340   & 0.003\\
\hline
 \end{tabular}
 \label{tablepar}
\end{table}