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Table D.1

Amplitude ratios between the LSST (suffix L), DECam (suffix D), ZTF (suffix Z), Gaia (G) and OGLE Johnson-Kron-Cousins (VI).

filter Ampl(xL)Ampl(gL)(all)${{Ampl\left( {{x_L}} \right)} \over {Ampl\left( {{g_L}} \right)}}({\rm{ }}all{\rm{ }})$ σAmpl(xL)Ampl(gL)(all)${\sigma {{Ampl\left( {{x_L}} \right)} \over {Ampl\left( {{g_L}} \right)}}({\rm{ }}all{\rm{ }})}$ Ampl(xL)Ampl(gL)(c)${{{Ampl\left( {{x_L}} \right)} \over {Ampl\left( {{g_L}} \right)}}(c)}$ σAmpl(xL)Ampl(gL)(c)${\sigma {{Ampl\left( {{x_L}} \right)} \over {Ampl\left( {{g_L}} \right)}}(c)}$ Ampl(xL)Ampl(gL)(ab)${{{Ampl\left( {{x_L}} \right)} \over {Ampl\left( {{g_L}} \right)}}(ab)}$ σAmpl(xL)Ampl(gL)(ab)$\sigma {{Ampl\left( {{x_L}} \right)} \over {Ampl\left( {{g_L}} \right)}}(ab)$
Z 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008
u 0.927 0.956 1.105 0.047 0.042 0.085 0.877 0.903 0.999 0.004 0.004 0.011 0.944 0.974 1.131 0.043 0.033 0.075
r 0.747 0.746 0.725 0.014 0.011 0.024 0.754 0.752 0.734 0.010 0.011 0.008 0.745 0.743 0.723 0.014 0.011 0.026
i 0.594 0.595 0.581 0.019 0.017 0.034 0.599 0.600 0.582 0.018 0.018 0.015 0.592 0.593 0.580 0.020 0.016 0.037
z 0.519 0.523 0.512 0.025 0.022 0.041 0.526 0.529 0.513 0.019 0.020 0.016 0.516 0.521 0.511 0.027 0.022 0.045
У 0.512 0.518 0.502 0.033 0.028 0.047 0.530 0.533 0.520 0.014 0.016 0.012 0.505 0.512 0.498 0.036 0.029 0.051
r(x)L/D(all) σr(x)L/D(all) r(x)L/D (c) σr(x)L/D(c) r(x)L/D(ab) σr(x)L/D(ab)
Z 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008 0.0003 0.001 0.008
u 0.848 0.853 0.868 0.015 0.018 0.011 0.834 0.838 0.850 0.003 0.002 0.003 0.853 0.858 0.872 0.014 0.019 0.008
𝑔 1.010 1.010 1.012 0.001 0.001 0.002 1.009 1.009 1.010 0.000 0.000 0.000 1.010 1.010 1.013 0.001 0.001 0.002
r 1.045 1.045 1.045 0.003 0.002 0.005 1.045 1.045 1.047 0.003 0.003 0.003 1.045 1.045 1.045 0.003 0.002 0.006
i 1.054 1.053 1.050 0.004 0.005 0.009 1.056 1.055 1.055 0.005 0.005 0.004 1.053 1.052 1.048 0.004 0.004 0.009
ɀ 0.990 0.988 0.995 0.016 0.013 0.019 0.976 0.976 0.973 0.008 0.007 0.006 0.995 0.992 1.001 0.015 0.013 0.017
y 1.022 1.021 1.019 0.002 0.003 0.005 1.021 1.020 1.019 0.002 0.002 0.001 1.022 1.021 1.019 0.002 0.004 0.006
r(x)Z/D(all) σr(x)Z/D(all) r(x)Z/D(c) σr(x)Z/D(c) r(x)Z/D(ab) σr(x)Z/D(ab)
𝑔 0.984 0.103 1.004 0.052 0.978 0.115
r 1.001 0.099 1.046 0.032 0.992 0.105
r(x)L/Z (all) σr(x)L/Z (all) r(x)L/Z (c) σr(x)L/Z(c) r(x)L/Z(ab) σr(x)L/Z(ab)
𝑔 1.026 0.107 1.005 0.103 1.033 0.121
r 1.044 0.103 0.999 0.095 1.053 0.111
r(x)Z/S (all) σr(x)Z/S (all) r(x)Z/S (c) σr(x)Z/S(c) r(x)Z/S(ab) σr(x)Z/S(ab)
𝑔 0.993 0.088 0.967 0.038 0.998 0.094
r 0.984 0.137 0.945 0.051 0.986 0.139
r(x)L/S (tot) σr(x)L/S (tot) r(x)L/S (c) σr(x)L/S(c) r(x)L/S(ab) σr(x)L/S(ab)
𝑔 1.019 0.140 0.972 0.063 1.032 0.155
r 1.027 0.175 0.944 0.059 1.038 0.183
Ampl(x)Ampl(I)(all)${{Ampl(x)} \over {Ampl(I)}}({\rm{ }}all{\rm{ }})$ σAmpl(x)Ampl(I)(all)$\sigma {{Ampl(x)} \over {Ampl(I)}}({\rm{ }}all{\rm{ }})$ Ampl(x)Ampl(I)(c)${{{Ampl(x)} \over {Ampl(I)}}(c)}$ σAmpl(x)Ampl(I)(c)${\sigma {{Ampl(x)} \over {Ampl(I)}}(c)}$ Ampl(x)Ampl(I)(ab)${{Ampl(x)} \over {Ampl(I)}}(ab)$ σAmpl(x)Ampl(I)(ab)$\sigma {{Ampl(x)} \over {Ampl(I)}}(ab)$
𝑔Z 1.849 0.051 1.734 0.062
rZ 1.288 0.042 1.245 0.045
iZ 0.965 0.037 0.968 0.032
ɀD 0.923 0.033 0.971 0.054
Ampl(x)Ampl(G)(all)${{Ampl(x)} \over {Ampl(G)}}({\rm{ }}all{\rm{ }})$ σAmpl(x)Ampl(G)(all)$\sigma {{Ampl(x)} \over {Ampl(G)}}({\rm{ }}all{\rm{ }})$ Ampl(x)Ampl(G)(c)${{Ampl(x)} \over {{\mathop{\rm Ampl}\nolimits} (G)}}(c)$ σAmpl(x)Ampl(G)(c)$\sigma {{Ampl(x)} \over {{\mathop{\rm Ampl}\nolimits} (G)}}(c)$ Ampl(x)Ampl(G)(ab)${{Ampl(x)} \over {Ampl(G)}}(ab)$ σAmpl(x)Ampl(G)(ab)$\sigma {{Ampl(x)} \over {Ampl(G)}}(ab)$
𝑔Z 1.278 0.048 1.277 0.038 1.278 0.052
rZ 0.905 0.034 0.899 0.029 0.908 0.039
iZ 0.686 0.030 0.711 0.055
ɀD 0.626 0.033 0.679 0.076
BUL/LMC Ampl(I)Ampl(V)(all)${{Ampl(I)} \over {Ampl(V)}}(all)$ σAmpl(I)Ampl(V)(all)$\sigma {{Ampl(I)} \over {Ampl(V)}}({\rm{ }}all{\rm{ }})$ Ampl(I)Ampl(V)(c)${{Ampl(I)} \over {Ampl(V)}}(c)$ σAmpl(I)Ampl(V)(c)$\sigma {{Ampl(I)} \over {Ampl(V)}}(c)$ Ampl(I)Ampl(V)(ab)${{Ampl(I)} \over {Ampl(V)}}(ab)$ σAmpl(I)Ampl(V)(ab)$\sigma {{Ampl(I)} \over {Ampl(V)}}(ab)$
BUL 0.557 + 0.078 ⋅ P 0.031 0.589 + 0.060 ⋅ P 0.035
LMC 0.596 0.042 0.625 0.043
SMC 0.596 0.080 0.587 0.086

Notes. All amplitude ratios are averages and derived from empirical data, except the Ampl(xL)Ampl(gL)${{Ampl\left( {{x_L}} \right)} \over {Ampl\left( {{g_L}} \right)}}$ and r(x)L/D, which are derived from pulsation models and, for this reason, are separated by three metallicity values (Z=0.0003, 0.0001, 0.008).

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