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Table D.2.

PLZ relations for BL Her models at different wavelengths in the low- and the high-metallicity regimes.

Band α β γ σ N

Low-metallicity regime (Z = 0.00135, 0.00061, 0.00043, 0.00014)

Convection set A
u 0.923 ± 0.037 -1.182 ± 0.053 0.098 ± 0.022 0.331 1734
g -0.103 ± 0.034 -1.454 ± 0.05 -0.005 ± 0.021 0.31 1734
r -0.264 ± 0.028 -1.796 ± 0.041 -0.025 ± 0.017 0.255 1734
i -0.267 ± 0.025 -1.978 ± 0.036 -0.019 ± 0.015 0.227 1734
z -0.24 ± 0.024 -2.074 ± 0.035 -0.013 ± 0.014 0.215 1734
y -0.234 ± 0.023 -2.122 ± 0.034 -0.014 ± 0.014 0.211 1734

Convection set B

u 0.964 ± 0.036 -0.918 ± 0.05 0.11 ± 0.022 0.277 1217
g -0.074 ± 0.034 -1.205 ± 0.047 0.001 ± 0.021 0.263 1217
r -0.25 ± 0.029 -1.579 ± 0.04 -0.02 ± 0.018 0.223 1217
i -0.26 ± 0.026 -1.779 ± 0.036 -0.014 ± 0.016 0.202 1217
z -0.236 ± 0.025 -1.88 ± 0.035 -0.008 ± 0.015 0.194 1217
y -0.232 ± 0.025 -1.93 ± 0.034 -0.009 ± 0.015 0.191 1217

Convection set C

u 1.044 ± 0.041 -0.795 ± 0.057 0.121 ± 0.025 0.32 1292
g -0.005 ± 0.038 -1.159 ± 0.053 0.0 ± 0.023 0.296 1292
r -0.202 ± 0.032 -1.574 ± 0.044 -0.024 ± 0.019 0.247 1292
i -0.223 ± 0.028 -1.79 ± 0.039 -0.019 ± 0.017 0.222 1292
z -0.202 ± 0.027 -1.903 ± 0.038 -0.013 ± 0.016 0.212 1292
y -0.199 ± 0.026 -1.963 ± 0.037 -0.014 ± 0.016 0.207 1292

Convection set D

u 1.055 ± 0.039 -0.747 ± 0.051 0.117 ± 0.024 0.284 1094
g -0.001 ± 0.037 -1.087 ± 0.048 -0.004 ± 0.023 0.268 1094
r -0.2 ± 0.031 -1.493 ± 0.041 -0.025 ± 0.019 0.229 1094
i -0.222 ± 0.029 -1.706 ± 0.037 -0.018 ± 0.018 0.21 1094
z -0.202 ± 0.028 -1.815 ± 0.036 -0.011 ± 0.017 0.201 1094
y -0.199 ± 0.027 -1.872 ± 0.035 -0.012 ± 0.017 0.198 1094

High-metallicity regime (Z = 0.01300, 0.00834, 0.00424)

Convection set A

u 1.056 ± 0.026 -0.822 ± 0.062 0.424 ± 0.048 0.381 1532
g -0.049 ± 0.021 -1.436 ± 0.051 0.083 ± 0.04 0.313 1532
r -0.239 ± 0.017 -1.839 ± 0.041 0.001 ± 0.032 0.25 1532
i -0.241 ± 0.015 -2.025 ± 0.036 0.005 ± 0.028 0.222 1532
z -0.209 ± 0.014 -2.12 ± 0.034 0.017 ± 0.027 0.211 1532
y -0.205 ± 0.014 -2.171 ± 0.033 0.013 ± 0.026 0.206 1532

Convection set B

u 1.037 ± 0.027 -0.446 ± 0.069 0.36 ± 0.053 0.351 1043
g -0.071 ± 0.022 -1.134 ± 0.057 0.016 ± 0.044 0.293 1043
r -0.264 ± 0.018 -1.597 ± 0.047 -0.056 ± 0.036 0.239 1043
i -0.269 ± 0.016 -1.81 ± 0.042 -0.046 ± 0.033 0.214 1043
z -0.238 ± 0.016 -1.916 ± 0.04 -0.032 ± 0.031 0.205 1043
y -0.234 ± 0.015 -1.972 ± 0.039 -0.034 ± 0.03 0.201 1043

Convection set C

u 1.241 ± 0.031 -0.623 ± 0.072 0.434 ± 0.058 0.427 1340
g 0.099 ± 0.024 -1.357 ± 0.057 0.052 ± 0.046 0.337 1340
r -0.139 ± 0.019 -1.784 ± 0.045 -0.031 ± 0.037 0.269 1340
i -0.166 ± 0.017 -1.974 ± 0.04 -0.023 ± 0.033 0.239 1340
z -0.143 ± 0.016 -2.076 ± 0.038 -0.009 ± 0.031 0.226 1340
y -0.142 ± 0.016 -2.132 ± 0.037 -0.011 ± 0.03 0.219 1340

Convection set D

u 1.182 ± 0.033 -0.349 ± 0.081 0.37 ± 0.065 0.42 1028
g 0.053 ± 0.026 -1.135 ± 0.065 -0.005 ± 0.052 0.333 1028
r -0.174 ± 0.021 -1.61 ± 0.052 -0.075 ± 0.041 0.266 1028
i -0.194 ± 0.019 -1.823 ± 0.046 -0.062 ± 0.037 0.236 1028
z -0.169 ± 0.018 -1.934 ± 0.043 -0.046 ± 0.035 0.223 1028
y -0.168 ± 0.017 -1.995 ± 0.042 -0.047 ± 0.034 0.217 1028

Notes. PLZ relation is of the mathematical form, Mλ = α + βlog(P)+γ[Fe/H].

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