\begin{table}%tA.1 \caption{\label{t:sensitivityu15}Sensitivities of abundance ratios to variations in the atmospheric parameters and to errors in the equivalent widths, and errors in abundances for stars in M~54 observed with UVES.} %\centering \par \begin{tabular}{lrrrrrrrr} \hline \hline \noalign{\smallskip} Element & Average & $T_{\rm eff}$ & $\log g$ & [A/H] & $v_t$ & $EW$s & Total & Total \\ & n. lines & (K) & (dex) & (dex) &km~s$^{-1}$& (dex) &Internal & Systematic \\ \hline Variation& & 50 & 0.20 & 0.10 & 0.10 & & & \\ Internal & & 5 & 0.04 & 0.06 & 0.05 & 0.060 & & \\ Systematic& & 38 & 0.06 & 0.05 & 0.02 & & & \\ \hline $[$Fe/H$]${\sc i}& 70 & +0.056 & $-$0.045 &$-$0.001 & $-$0.026 & +0.007 &0.018 &0.050 \\ $[$Fe/H$]${\sc ii}& 8 & +0.077 & +0.095 & +0.031 & $-$0.011 & +0.021 &0.035 &0.090 \\ $[$O/Fe$]${\sc i}& 2 & $-$0.042 & +0.070 & +0.034 & +0.025 & +0.042 &0.051 &0.182 \\ $[$Na/Fe$]${\sc i}& 3 & $-$0.007 & $-$0.055 &$-$0.034 & +0.015 & +0.035 &0.042 &0.149 \\ $[$Mg/Fe$]${\sc i}& 3 & $-$0.020 & $-$0.017 &$-$0.006 & +0.016 & +0.035 &0.036 &0.037 \\ $[$Al/Fe$]${\sc i}& 2 & $-$0.011 & $-$0.023 &$-$0.009 & +0.015 & +0.042 &0.044 &0.255 \\ $[$Si/Fe$]${\sc i}& 8 & $-$0.065 & +0.020 & +0.010 & +0.020 & +0.021 &0.025 &0.058 \\ $[$Ca/Fe$]${\sc i}& 17 & +0.014 & $-$0.025 &$-$0.018 & $-$0.014 & +0.015 &0.020 &0.033 \\ $[$Sc/Fe$]${\sc i}& 1 & +0.036 & $-$0.028 &$-$0.014 & +0.021 & +0.060 &0.062 &0.059 \\ $[$Sc/Fe$]${\sc ii}& 7 & $-$0.084 & $-$0.020 &$-$0.003 & $-$0.007 & +0.023 &0.025 &0.078 \\ $[$Ti/Fe$]${\sc i}& 9 & +0.044 & $-$0.020 &$-$0.017 & +0.004 & +0.020 &0.023 &0.052 \\ $[$Ti/Fe$]${\sc ii}& 1 & $-$0.093 & $-$0.013 & +0.000 & +0.007 & +0.060 &0.061 &0.083 \\ $[$V/Fe$]${\sc i} & 8 & $-$0.029 & $-$0.103 &$-$0.113 & $-$0.090 & +0.021 &0.085 &0.054 \\ $[$Cr/Fe$]${\sc i}& 2 & +0.023 & $-$0.022 &$-$0.013 & +0.016 & +0.042 &0.044 &0.037 \\ $[$Mn/Fe$]${\sc i}& 3 & +0.009 & $-$0.017 &$-$0.009 & +0.000 & +0.035 &0.035 &0.036 \\ $[$Co/Fe$]${\sc i}& 4 & $-$0.018 & $-$0.004 & +0.001 & +0.020 & +0.030 &0.032 &0.058 \\ $[$Ni/Fe$]${\sc i}& 20 & $-$0.023 & +0.012 & +0.005 & +0.004 & +0.013 &0.014 &0.020 \\ $[$Cu/Fe$]${\sc i}& 1 & $-$0.031 & +0.012 & +0.001 & $-$0.007 & +0.013 &0.060 &0.070 \\ \hline \end{tabular} \end{table}