\begin{table}%tC.1
\caption{Average polynomial coefficients for each line index correction
function, where $\sigma*=\sigma_{\rm Lick}/\sigma$. The last column shows the
maximum error due to this correction for a galaxy of $\sigma=400$~km~s$^{-1}$.
\label{correcsigma}}
%\centering

$$
\begin{tabular}{@{}lr@{$\;$}c@{$\;$}l@{$\times$}c@{$\;$}c@{$\;$}l@{$\times$}cr@{}}
\hline\hline
\noalign{\smallskip}
Index        & \multicolumn{7}{c}{$C(\sigma)$}& Error\\
\hline
\noalign{\smallskip}
H$\delta_A$ &$ 0.0118$&--&$0.0005      $&$\sigma  $&$-$&$1.5421 \times 10^{-6}$&$ \sigma^2$&0.175 \\
H$\delta_F$ &$-0.0013$&+ &$2.4565 \times 10^{-5}$&$\sigma  $&$+$&$1.2798 \times 10^{-6}$&$ \sigma^2$&0.068 \\
CN$_1$      &$-0.0001$&+ &$1.081 \times 10^{-5}$&$\sigma  $&$+$&$1.2259 \times 10^{-8}$&$ \sigma^2$&0.002 \\  
CN$_2$      &$-0.0008$&+ &$2.6876 \times 10^{-5}$&$\sigma  $&$+$&$6.1555 \times 10^{-8}$&$ \sigma^2$&0.006\\
Ca4227      &$ 0.7802$&--&$0.2809      $&$\sigma_*$&$+$&$0.5007$&$ \sigma_{*}^2$&0.059 \\
G4300       &$ 0.8915$&+ &$0.1000      $&$\sigma_*$&$+$&$0.0085$&$ \sigma_{*}^2$&0.014 \\
H$\gamma_A$ &$ 1.1184$&--&$0.2125      $&$\sigma_*$&$+$&$0.0940$&$ \sigma_{*}^2$&0.008 \\
H$\gamma_F$ &$ 0.8043$&+ &$0.2565      $&$\sigma_*$&$-$&$0.0608$&$ \sigma_{*}^2$&0.035 \\
Fe4383      &$ 0.8798$&--&$0.0095      $&$\sigma_*$&$+$&$0.1297$&$ \sigma_{*}^2$&0.025 \\
Ca4455      &$ 0.6385$&+ &$0.0962      $&$\sigma_*$&$+$&$0.2653$&$ \sigma_{*}^2$&0.034 \\
Fe4531      &$ 0.9133$&--&$0.0123      $&$\sigma_*$&$+$&$0.0990$&$ \sigma_{*}^2$&0.009 \\
C4668       &$ 1.0054$&--&$0.1268      $&$\sigma_*$&$+$&$0.1214$&$ \sigma_{*}^2$&0.013 \\
H$\beta$    &$ 0.9907$&+ &$0.0056      $&$\sigma_*$&$+$&$0.0037$&$ \sigma_{*}^2$&0.012 \\
Fe5015      &$ 0.7816$&+ &$0.1791      $&$\sigma_*$&$+$&$0.0393$&$ \sigma_{*}^2$&0.023 \\
Mgb         &$ 0.9645$&--&$0.0749      $&$\sigma_*$&$+$&$0.1104$&$ \sigma_{*}^2$&0.020 \\
Fe5270      &$ 0.8253$&+ &$0.1228      $&$\sigma_*$&$+$&$0.0518$&$ \sigma_{*}^2$&0.004 \\
Fe5335      &$ 0.8432$&--&$0.0814      $&$\sigma_*$&$+$&$0.2382$&$ \sigma_{*}^2$&0.051 \\
\hline
\end{tabular}
$$
\end{table}