\begin{table}%tA.1 %\centering \par \caption{\label{logteff_grids1}The complete evolutionary grids in time steps of $\Delta$log~$t$~=~0.2 used for this study. Within the individual isochrones, a linear interpolation was performed.} \begin{tabular}{cccccccccccc} \hline \hline \noalign{\smallskip} \multicolumn{6}{l}{ZAMS} & \multicolumn{6}{l}{log~$t$~=~7.2} \\ Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 & Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 \\ $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} & $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} \\ %$-$0.3 & & +0.020 & +0.000 & $-$0.001 & \\ +0.0 & +0.019 & +0.013 & +0.000 & $-$0.003 & $-$0.004 & +0.0 & +0.019 & +0.013 & +0.000 & $-$0.003 & $-$0.004 \\ +0.3 & +0.026 & +0.014 & +0.000 & $-$0.004 & $-$0.007 & +0.3 & +0.026 & +0.014 & +0.000 & $-$0.004 & $-$0.007 \\ +0.6 & +0.035 & +0.020 & +0.000 & $-$0.005 & $-$0.013 & +0.6 & +0.035 & +0.019 & +0.000 & $-$0.005 & $-$0.013 \\ +0.9 & +0.042 & +0.027 & +0.000 & $-$0.008 & $-$0.024 & +0.9 & +0.045 & +0.026 & +0.000 & $-$0.009 & $-$0.025 \\ +1.2 & +0.049 & +0.028 & +0.000 & $-$0.010 & $-$0.027 & +1.2 & +0.049 & +0.027 & +0.000 & $-$0.012 & $-$0.028 \\ +1.5 & +0.054 & +0.028 & +0.000 & $-$0.011 & $-$0.027 & +1.5 & +0.053 & +0.027 & $-$0.001 & $-$0.013 & $-$0.029 \\ +1.8 & +0.056 & +0.027 & +0.000 & $-$0.011 & $-$0.027 & +1.8 & +0.053 & +0.026 & $-$0.002 & $-$0.014 & $-$0.030 \\ +2.1 & +0.055 & +0.026 & +0.000 & $-$0.012 & $-$0.027 & +2.1 & +0.049 & +0.022 & $-$0.004 & $-$0.015 & $-$0.031 \\ +2.4 & +0.050 & +0.025 & +0.000 & $-$0.011 & $-$0.026 & +2.4 & +0.043 & +0.017 & $-$0.007 & $-$0.017 & $-$0.034 \\ +2.7 & +0.046 & +0.023 & +0.000 & $-$0.011 & $-$0.024 & +2.7 & +0.035 & +0.011 & $-$0.011 & $-$0.022 & $-$0.043 \\ +3.0 & +0.044 & +0.022 & +0.000 & $-$0.010 & $-$0.021 & +3.0 & +0.026 & +0.003 & $-$0.018 & $-$0.029 & $-$0.048 \\ +3.3 & & +0.021 & +0.000 & $-$0.010 & & +3.3 & & $-$0.007 & $-$0.028 & $-$0.038 & \\ +3.6 & & +0.019 & +0.000 & $-$0.009 & & +3.6 & & $-$0.021 & $-$0.042 & $-$0.053 & \\ \hline \multicolumn{6}{l}{log~$t$~=~7.4} & \multicolumn{6}{l}{log~$t$~=~7.6} \\ Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 & Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 \\ $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} & $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} \\ %& & & & & & $-$0.3 & & +0.020 & +0.000 & \\ +0.0 & +0.019 & +0.013 & +0.000 & $-$0.003 & $-$0.004 & +0.0 & +0.019 & +0.013 & +0.000 & $-$0.003 & $-$0.004 \\ +0.3 & +0.026 & +0.014 & +0.000 & $-$0.004 & $-$0.007 & +0.3 & +0.026 & +0.014 & +0.000 & $-$0.004 & $-$0.007 \\ +0.6 & +0.035 & +0.019 & +0.000 & $-$0.005 & $-$0.013 & +0.6 & +0.035 & +0.019 & +0.000 & $-$0.005 & $-$0.013 \\ +0.9 & +0.045 & +0.026 & +0.000 & $-$0.010 & $-$0.025 & +0.9 & +0.045 & +0.026 & +0.000 & $-$0.010 & $-$0.025 \\ +1.2 & +0.049 & +0.027 & $-$0.001 & $-$0.012 & $-$0.028 & +1.2 & +0.049 & +0.026 & $-$0.001 & $-$0.013 & $-$0.029 \\ +1.5 & +0.053 & +0.026 & $-$0.002 & $-$0.013 & $-$0.029 & +1.5 & +0.052 & +0.024 & $-$0.003 & $-$0.015 & $-$0.031 \\ +1.8 & +0.051 & +0.024 & $-$0.003 & $-$0.015 & $-$0.031 & +1.8 & +0.049 & +0.021 & $-$0.006 & $-$0.018 & $-$0.034 \\ +2.1 & +0.046 & +0.019 & $-$0.007 & $-$0.018 & $-$0.034 & +2.1 & +0.042 & +0.014 & $-$0.011 & $-$0.023 & $-$0.040 \\ +2.4 & +0.038 & +0.013 & $-$0.011 & $-$0.022 & $-$0.041 & +2.4 & +0.031 & +0.006 & $-$0.017 & $-$0.029 & $-$0.046 \\ +2.7 & +0.028 & +0.004 & $-$0.018 & $-$0.029 & $-$0.045 & +2.7 & +0.018 & $-$0.007 & $-$0.029 & $-$0.041 & $-$0.059 \\ +3.0 & +0.016 & $-$0.008 & $-$0.029 & $-$0.040 & $-$0.057 & +3.0 & $-$0.002 & $-$0.024 & $-$0.048 & $-$0.061 & $-$0.079 \\ +3.3 & & $-$0.022 & $-$0.045 & $-$0.056 & & +3.3 & & $-$0.050 & $-$0.077 & $-$0.091 & \\ +3.6 & & $-$0.047 & $-$0.072 & $-$0.087 & & +3.6 & & $-$0.104 & $-$0.139 & $-$0.162 & \\ \multicolumn{6}{l}{} & TAMS \\ & & & & & & $\log L/L_{\odot}$ & & +3.769 & +3.702 & +3.642 & \\ & & & & & & $T_{\rm N}$ & & $-$0.153 & $-$0.168 & $-$0.171 \\ & & & & & & $\log T_{\rm eff}$ & & +4.252 & +4.226 & +4.213 & \\ \hline\noalign{\smallskip} \multicolumn{6}{l}{log~$t$~=~7.8} & \multicolumn{6}{l}{log~$t$~=~8.0} \\ Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 & Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 \\ $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} & $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} \\ %$-$0.3 & & +0.020 & +0.000 & +0.001 & & $-$0.3 & & +0.020 & +0.000 & +0.001 & \\ +0.0 & +0.023 & +0.013 & +0.000 & $-$0.003 & $-$0.004 & +0.0 & +0.023 & +0.013 & +0.000 & $-$0.003 & $-$0.005 \\ +0.3 & +0.028 & +0.014 & +0.000 & $-$0.004 & $-$0.007 & +0.3 & +0.028 & +0.014 & +0.000 & $-$0.004 & $-$0.007 \\ +0.6 & +0.034 & +0.019 & +0.000 & $-$0.005 & $-$0.013 & +0.6 & +0.035 & +0.018 & $-$0.001 & $-$0.005 & $-$0.013 \\ +0.9 & +0.047 & +0.025 & $-$0.001 & $-$0.011 & $-$0.026 & +0.9 & +0.047 & +0.024 & $-$0.002 & $-$0.012 & $-$0.026 \\ +1.2 & +0.053 & +0.024 & $-$0.002 & $-$0.014 & $-$0.030 & +1.2 & +0.052 & +0.022 & $-$0.004 & $-$0.016 & $-$0.032 \\ +1.5 & +0.052 & +0.022 & $-$0.005 & $-$0.018 & $-$0.033 & +1.5 & +0.048 & +0.018 & $-$0.009 & $-$0.022 & $-$0.038 \\ +1.8 & +0.045 & +0.017 & $-$0.009 & $-$0.022 & $-$0.039 & +1.8 & +0.039 & +0.011 & $-$0.015 & $-$0.029 & $-$0.047 \\ +2.1 & +0.035 & +0.008 & $-$0.017 & $-$0.030 & $-$0.048 & +2.1 & +0.025 & $-$0.003 & $-$0.029 & $-$0.043 & $-$0.066 \\ +2.4 & +0.021 & $-$0.005 & $-$0.029 & $-$0.041 & $-$0.060 & +2.4 & +0.004 & $-$0.023 & $-$0.048 & $-$0.063 & $-$0.095 \\ +2.7 & +0.000 & $-$0.024 & $-$0.048 & $-$0.062 & $-$0.091 & +2.7 & $-$0.026 & $-$0.055 & $-$0.085 & $-$0.104 & $-$0.129 \\ +3.0 & $-$0.036 & $-$0.054 & $-$0.082 & $-$0.100 & $-$0.128 & +3.0 & $-$0.092 & $-$0.126 & $-$0.165 & & \\ +3.3 & & $-$0.113 & $-$0.144 & $-$0.173 & & & \\ TAMS & \multicolumn{5}{l}{} & TAMS \\ $\log L/L_{\odot}$ & +3.447 & +3.421 & +3.371 & +3.317 & +3.222 & $\log L/L_{\odot}$ & +3.086 & +3.076 & +3.039 & +2.987 & +2.937 \\ $T_{\rm N}$ & $-$0.117 & $-$0.151 & $-$0.170 & $-$0.179 & $-$0.180 & $T_{\rm N}$ & $-$0.113 & $-$0.152 & $-$0.173 & $-$0.182 & $-$0.176 \\ $\log T_{\rm eff}$ & +4.239 & +4.196 & +4.168 & +4.132 & +4.141 & $\log T_{\rm eff}$ & +4.181 & +4.140 & +4.110 & +4.092 & +4.090 \\ \hline \multicolumn{6}{l}{log~$t$~=~8.2} & \multicolumn{6}{l}{log~$t$~=~8.4} \\ Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 & Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 \\ $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} & $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} \\ %$-$0.3 & & +0.020 & +0.000 & +0.001 & & $-$0.3 & & +0.020 & +0.000 & +0.001 & \\ +0.0 & +0.019 & +0.013 & +0.000 & $-$0.003 & $-$0.005 & +0.0 & +0.019 & +0.013 & +0.000 & $-$0.003 & $-$0.005 \\ +0.3 & +0.027 & +0.013 & +0.000 & $-$0.004 & $-$0.006 & +0.3 & +0.027 & +0.013 & $-$0.001 & $-$0.004 & $-$0.007 \\ +0.6 & +0.036 & +0.017 & $-$0.001 & $-$0.007 & $-$0.013 & +0.6 & +0.037 & +0.017 & $-$0.002 & $-$0.006 & $-$0.013 \\ +0.9 & +0.046 & +0.022 & $-$0.003 & $-$0.014 & $-$0.026 & +0.9 & +0.047 & +0.019 & $-$0.006 & $-$0.017 & $-$0.029 \\ +1.2 & +0.047 & +0.019 & $-$0.007 & $-$0.020 & $-$0.034 & +1.2 & +0.047 & +0.015 & $-$0.013 & $-$0.026 & $-$0.042 \\ +1.5 & +0.041 & +0.013 & $-$0.014 & $-$0.028 & $-$0.045 & +1.5 & +0.040 & +0.003 & $-$0.025 & $-$0.040 & $-$0.054 \\ +1.8 & +0.031 & +0.000 & $-$0.027 & $-$0.041 & $-$0.059 & +1.8 & +0.028 & $-$0.019 & $-$0.047 & $-$0.063 & $-$0.081 \\ +2.1 & +0.010 & $-$0.023 & $-$0.049 & $-$0.064 & $-$0.090 & +2.1 & +0.009 & $-$0.058 & $-$0.090 & $-$0.108 & $-$0.130 \\ +2.4 & $-$0.043 & $-$0.057 & $-$0.087 & $-$0.106 & $-$0.143 & +2.4 & $-$0.088 & $-$0.142 & $-$0.179 & \\ %$-$0.167 \\ +2.7 & $-$0.101 & $-$0.132 & $-$0.172 & & & \\ TAMS & \multicolumn{5}{l}{} & TAMS \\ $\log L/L_{\odot}$ & +2.762 & +2.771 & +2.729 & +2.663 & +2.613 & $\log L/L_{\odot}$ & +2.464 & +2.442 & +2.402 & +2.343 & +2.334 \\ $T_{\rm N}$ & $-$0.113 & $-$0.154 & $-$0.178 & $-$0.185 & $-$0.180 & $T_{\rm N}$ & $-$0.113 & $-$0.154 & $-$0.179 & $-$0.186 & $-$0.182 \\ $\log T_{\rm eff}$ & +4.126 & +4.083 & +4.052 & +4.033 & +4.032 & $\log T_{\rm eff}$ & +4.074 & +4.025 &+ 3.993 & +3.975 & +3.980 \\ \hline \multicolumn{6}{l}{log~$t$~=~8.6} & \multicolumn{6}{l}{log~$t$~=~8.8} \\ Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 & Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 \\ $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} & $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} \\ %$-$0.3 & & +0.020 & $-$0.001 & +0.001 & & $-$0.3 & & +0.021 & $-$0.002 & +0.001 & \\ +0.0 & +0.019 & +0.012 & $-$0.001 & $-$0.003 & $-$0.006 & +0.0 & +0.020 & +0.012 & $-$0.001 & $-$0.003 & $-$0.006 \\ +0.3 & +0.027 & +0.013 & $-$0.001 & $-$0.004 & $-$0.007 & +0.3 & +0.028 & +0.012 & $-$0.001 & $-$0.004 & $-$0.007 \\ +0.6 & +0.035 & +0.015 & $-$0.003 & $-$0.008 & $-$0.015 & +0.6 & +0.035 & +0.013 & $-$0.005 & $-$0.011 & $-$0.016 \\ +0.9 & +0.043 & +0.019 & $-$0.010 & $-$0.023 & $-$0.035 & +0.9 & +0.038 & +0.008 & $-$0.019 & $-$0.032 & $-$0.042 \\ +1.2 & +0.033 & +0.006 & $-$0.022 & $-$0.037 & $-$0.055 & +1.2 & +0.020 & $-$0.011 & $-$0.039 & $-$0.056 & $-$0.077 \\ +1.5 & +0.012 & $-$0.015 & $-$0.043 & $-$0.061 & $-$0.090 & +1.5 & $-$0.017 & $-$0.050 & $-$0.083 & $-$0.104 & $-$0.137 \\ +1.8 & $-$0.032 & $-$0.056 & $-$0.088 & $-$0.107 & $-$0.137 & +1.8 & $-$0.040 & $-$0.151 & \\ % $-$0.172 & $-$0.169 \\ +2.1 & $-$0.100 & $-$0.150 & \multicolumn{3}{l}{} \\ % $-$0.175 & $-$0.170 & & \\ TAMS & \multicolumn{5}{l}{} & TAMS \\ $\log L/L_{\odot}$ & +2.135 & +2.118 & +2.082 & +2.040 & +1.981 & $\log L/L_{\odot}$ & +1.845 & +1.802 & +1.772 & +1.736 & +1.671 \\ $T_{\rm N}$ & $-$0.111 & $-$0.154 & $-$0.179 & $-$0.186 & $-$0.183 & $T_{\rm N}$ & $-$0.106 & $-$0.153 & $-$0.178 & $-$0.185 & $-$0.177 \\ $\log T_{\rm eff}$ & +4.017 & +3.967 & +3.936 & +3.921 & +3.918 & $\log T_{\rm eff}$ & +3.956 & +3.922 & +3.881 & +3.866 & +3.867 \\ \hline \multicolumn{6}{l}{log~$t$~=~9.0} & \multicolumn{6}{l}{log~$t$~=~9.2} \\ Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 & Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 \\ $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} & $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} \\ %$-$0.3 & & +0.019 & $-$0.002 & +0.001 & & $-$0.3 & & +0.019 & $-$0.003 & +0.001 \\ +0.0 & +0.022 & +0.011 & $-$0.001 & $-$0.003 & $-$0.007 & +0.0 & +0.019 & +0.011 & $-$0.002 & $-$0.004 & $-$0.008 \\ +0.3 & +0.025 & +0.011 & $-$0.002 & $-$0.005 & $-$0.008 & +0.3 & +0.022 & +0.009 & $-$0.005 & $-$0.008 & $-$0.011 \\ +0.6 & +0.028 & +0.008 & $-$0.009 & $-$0.016 & $-$0.023 & +0.6 & +0.020 & +0.001 & $-$0.017 & $-$0.025 & $-$0.034 \\ +0.9 & +0.021 & $-$0.005 & $-$0.033 & $-$0.047 & $-$0.061 & +0.9 & $-$0.012 & $-$0.032 & $-$0.061 & $-$0.075 & $-$0.095 \\ +1.2 & $-$0.011 & $-$0.044 & $-$0.076 & $-$0.096 & $-$0.133 & +1.2 & $-$0.079 & \\ % $-$0.126 & $-$0.143 & $-$0.140 \\ +1.5 & $-$0.090 & $-$0.145 & \multicolumn{3}{l}{} \\ % $-$0.166 & $-$0.155 & & \\ TAMS & \multicolumn{5}{l}{} & TAMS \\ $\log L/L_{\odot}$ & +1.533 & +1.516 & +1.478 & +1.411 & +1.351 & $\log L/L_{\odot}$ & +1.242 & +1.197 & +1.165 & +1.120 & +1.057 \\ $T_{\rm N}$ & $-$0.099 & $-$0.149 & $-$0.171 & $-$0.173 & $-$0.167 & $T_{\rm N}$ & $-$0.090 & $-$0.128 & $-$0.145 & $-$0.143 & $-$0.134 \\ $\log L/L_{\odot}$ & +3.919 & +3.863 & +3.834 & +3.819 & +3.817 & $\log L/L_{\odot}$ & +3.873 & +3.824 & +3.800 & +3.793 & +3.793 \\ \hline \multicolumn{6}{l}{log~$t$~=~9.4} & \multicolumn{6}{l}{log~$t$~=~9.6} \\ Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 & Z & 0.004 & 0.01 & 0.02 & 0.03 & 0.04 \\ $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} & $\log L/L_{\odot}$ & \multicolumn{5}{c}{$T_{\rm N}$} \\ +0.0 & +0.019 & +0.011 & $-$0.003 & $-$0.006 & $-$0.011 & +0.0 & +0.018 & +0.010 & $-$0.004 & $-$0.008 & $-$0.014 \\ +0.15 & +0.019 & +0.011 & $-$0.005 & $-$0.008 & $-$0.013 & +0.15 & +0.017 & +0.008 & $-$0.008 & $-$0.014 & $-$0.020 \\ +0.3 & +0.018 & +0.007 & $-$0.008 & $-$0.012 & $-$0.017 & +0.3 & +0.015 & +0.002 & $-$0.016 & $-$0.028 & $-$0.037 \\ +0.45 & +0.014 & +0.001 & $-$0.014 & $-$0.022 & $-$0.029 & +0.45 & +0.008 & $-$0.010 & $-$0.029 & $-$0.046 \\ +0.6 & +0.008 & $-$0.012 & $-$0.030 & $-$0.040 & $-$0.056 & +0.6 & $-$0.018 & $-$0.040 & $-$0.060 \\ +0.75 & $-$0.004 & $-$0.034 & $-$0.056 & $-$0.070 & $-$0.090 \\ +0.9 & $-$0.028 & $-$0.075 & $-$0.098 & \multicolumn{2}{l}{} \\ TAMS & \multicolumn{5}{l}{} & TAMS \\ $\log L/L_{\odot}$ & +0.982 & +0.940 & +0.908 & +0.855 & +0.778 & $\log L/L_{\odot}$ & +0.695 & +0.650 & +0.603 & +0.538 & +0.446 \\ $T_{\rm N}$ & $-$0.075 & $-$0.090 & $-$0.103 & $-$0.103 & $-$0.097 & $T_{\rm N}$ & $-$0.055 & $-$0.060 & $-$0.064 & $-$0.064 & $-$0.060 \\ $\log L/L_{\odot}$ & +3.839 & +3.808 & +3.785 & +3.781 & +3.778 & $\log L/L_{\odot}$ & +3.818 & +3.795 & +3.774 & +3.771 & +3.763 \\ \hline \end{tabular} \end{table}