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Table I.1.

Results of the photometric parallax fit to the cHVI PWZ relation with variations compared to the baseline (see text).

Variation α σαlow σαhigh β σβlow σβhigh γ σγlow σγhigh ϵ σϵlow σϵhigh N μLMC σμLMC AIC BIC
G< 10.5 mag -5.956 0.089 0.092 -3.224 0.136 0.135 -0.496 0.385 0.403 -0.001 0.017 0.017 64 18.365 0.192 49 58
G< 11.5 mag -5.988 0.077 0.081 -3.158 0.103 0.103 -0.403 0.253 0.254 -0.009 0.013 0.014 100 18.463 0.138 82 92
G< 12.5 mag -6.006 0.067 0.067 -3.183 0.091 0.092 -0.39 0.194 0.187 -0.011 0.011 0.01 137 18.476 0.113 112 124
G< 13.5 mag -6.013 0.053 0.053 -3.191 0.088 0.088 -0.542 0.153 0.148 -0.012 0.007 0.007 224 18.417 0.093 183 196
G< 14.5 mag -5.994 0.05 0.051 -3.18 0.086 0.087 -0.552 0.146 0.143 -0.009 0.007 0.006 243 18.398 0.089 192 206
G> 10.5 mag -6.065 0.093 0.104 -3.135 0.133 0.143 -0.611 0.18 0.17 -0.014 0.008 0.007 203 18.466 0.135 151 165
G> 11.5 mag -6.34 0.19 0.218 -3.281 0.22 0.232 -0.768 0.249 0.245 -0.02 0.01 0.01 167 18.611 0.239 117 130
G> 12.5 mag -6.469 0.312 0.333 -3.178 0.341 0.367 -0.975 0.353 0.324 -0.023 0.013 0.013 130 18.7 0.38 87 99
SNR< 10 -6.721 0.303 0.356 -3.2 0.318 0.346 -0.747 0.378 0.354 -0.035 0.015 0.015 133 19.037 0.371 76 87
SNR> 10 -6.067 0.067 0.072 -3.165 0.098 0.1 -0.439 0.202 0.191 -0.026 0.01 0.01 133 18.524 0.116 110 121
SNR< 15 -6.284 0.128 0.129 -3.131 0.163 0.164 -0.741 0.218 0.209 -0.022 0.009 0.008 192 18.633 0.175 135 148
SNR> 15 -5.944 0.081 0.085 -3.106 0.107 0.108 -0.441 0.233 0.243 -0.004 0.015 0.016 74 18.427 0.135 63 73
D< 3 Kpc -5.988 0.091 0.098 -3.182 0.117 0.121 -0.532 0.263 0.295 -0.014 0.02 0.02 65 18.399 0.152 59 67
D> 3 Kpc -6.203 0.109 0.117 -3.17 0.151 0.153 -0.671 0.206 0.193 -0.019 0.009 0.008 202 18.564 0.156 137 150
D< 4 Kpc -6.001 0.082 0.089 -3.156 0.098 0.099 -0.431 0.233 0.235 -0.013 0.015 0.016 100 18.466 0.135 86 96
D> 4 Kpc -6.506 0.218 0.236 -3.2 0.23 0.243 -0.824 0.277 0.282 -0.029 0.011 0.011 167 18.79 0.269 105 117
-0.7< [Fe/H]< +0.1 -6.0 0.052 0.052 -3.222 0.103 0.102 -0.365 0.245 0.235 -0.013 0.007 0.007 199 18.463 0.123 150 163
-0.7< [Fe/H]< +0.2 -6.001 0.052 0.053 -3.188 0.091 0.093 -0.53 0.195 0.183 -0.01 0.007 0.007 223 18.411 0.105 160 174
-0.7< [Fe/H]< +0.3 -6.001 0.05 0.053 -3.175 0.091 0.09 -0.552 0.187 0.18 -0.01 0.007 0.007 230 18.408 0.102 172 185
-0.5< [Fe/H]< +0.1 -5.999 0.053 0.053 -3.199 0.105 0.104 -0.224 0.3 0.292 -0.015 0.007 0.008 156 18.53 0.143 120 132
-0.5< [Fe/H]< +0.2 -5.998 0.052 0.054 -3.162 0.089 0.091 -0.486 0.212 0.213 -0.01 0.007 0.007 180 18.438 0.11 135 147
-0.5< [Fe/H]< +0.3 -6.0 0.054 0.055 -3.149 0.091 0.091 -0.511 0.209 0.214 -0.01 0.007 0.007 187 18.436 0.111 142 155
P> 5d -5.967 0.058 0.059 -3.317 0.147 0.143 -0.716 0.257 0.249 -0.006 0.008 0.008 125 18.244 0.139 97 108
P> 10d -5.89 0.126 0.12 -3.606 0.305 0.298 -0.477 0.417 0.414 -0.006 0.015 0.014 61 18.132 0.255 39 47
P> 5d SNR> 10 -6.02 0.075 0.077 -3.274 0.174 0.176 -0.504 0.281 0.302 -0.019 0.012 0.012 75 18.402 0.16 58 67
P> 10d SNR> 10 -6.083 0.197 0.227 -3.618 0.512 0.449 -0.579 0.623 0.64 -0.042 0.026 0.03 34 18.276 0.401 20 26
P> 5d [Fe/H]> −0.5 -5.975 0.064 0.063 -3.271 0.155 0.155 -0.749 0.322 0.335 -0.008 0.009 0.009 108 18.258 0.165 77 88
P> 10d [Fe/H]> −0.5 -5.943 0.136 0.133 -3.594 0.343 0.319 -0.737 0.524 0.526 -0.015 0.017 0.015 53 18.082 0.301 30 38

Fixed α and β

G< 10.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.511 0.348 0.356 0.001 0.007 0.007 64 18.341 0.144 45 50
G< 11.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.439 0.229 0.234 -0.001 0.005 0.005 100 18.37 0.095 77 82
G< 12.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.449 0.155 0.155 -0.002 0.005 0.005 137 18.366 0.065 108 114
G< 13.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.593 0.117 0.111 -0.003 0.004 0.004 224 18.307 0.051 181 188
G< 14.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.572 0.116 0.115 -0.003 0.004 0.004 243 18.315 0.051 184 191
G> 10.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.54 0.147 0.139 -0.005 0.005 0.005 203 18.328 0.062 154 161
G> 11.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.591 0.174 0.164 -0.004 0.006 0.006 167 18.308 0.074 121 127
G> 12.5 mag -5.95 0.0 0.0 -3.25 0.0 0.0 -0.676 0.198 0.189 -0.002 0.007 0.006 130 18.273 0.084 87 93
SNR< 10 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.676 0.209 0.194 0.002 0.006 0.006 133 18.273 0.088 86 91
SNR> 10 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.567 0.14 0.135 -0.007 0.005 0.005 133 18.317 0.06 113 119
SNR< 15 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.636 0.155 0.147 -0.003 0.005 0.005 192 18.289 0.066 138 144
SNR> 15 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.353 0.207 0.224 -0.001 0.006 0.006 74 18.405 0.085 57 62
D< 3 Kpc -5.95 0.0 0.0 -3.25 0.0 0.0 -0.533 0.253 0.302 -0.004 0.008 0.008 65 18.331 0.105 54 58
D> 3 Kpc -5.95 0.0 0.0 -3.25 0.0 0.0 -0.622 0.15 0.141 -0.002 0.005 0.005 202 18.295 0.064 147 153
D< 4 Kpc -5.95 0.0 0.0 -3.25 0.0 0.0 -0.432 0.2 0.206 -0.002 0.005 0.005 100 18.373 0.083 82 87
D> 4 Kpc -5.95 0.0 0.0 -3.25 0.0 0.0 -0.632 0.167 0.156 -0.002 0.005 0.005 167 18.291 0.071 118 124
-0.7< [Fe/H]< +0.1 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.401 0.214 0.206 -0.008 0.005 0.005 199 18.385 0.089 140 147
-0.7< [Fe/H]< +0.2 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.582 0.153 0.148 -0.004 0.004 0.004 223 18.311 0.065 157 163
-0.7< [Fe/H]< +0.3 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.602 0.153 0.143 -0.003 0.004 0.004 230 18.303 0.065 168 175
-0.5< [Fe/H]< +0.1 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.235 0.249 0.253 -0.009 0.005 0.005 156 18.454 0.102 112 118
-0.5< [Fe/H]< +0.2 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.521 0.187 0.186 -0.004 0.004 0.004 180 18.336 0.078 130 136
-0.5< [Fe/H]< +0.3 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.557 0.175 0.177 -0.003 0.004 0.004 187 18.322 0.074 143 149
P> 5d -5.95 0.0 0.0 -3.25 0.0 0.0 -0.772 0.251 0.23 -0.004 0.005 0.005 125 18.233 0.105 87 93
P> 10d -5.95 0.0 0.0 -3.25 0.0 0.0 -0.436 0.336 0.354 -0.004 0.006 0.006 61 18.371 0.139 38 42
P> 5d SNR> 10 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.605 0.283 0.311 -0.009 0.006 0.006 75 18.302 0.118 50 55
P> 10d SNR> 10 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.843 0.543 0.526 -0.015 0.01 0.009 34 18.204 0.224 17 20
P> 5d [Fe/H]> −0.5 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.811 0.315 0.313 -0.005 0.005 0.005 108 18.217 0.131 70 76
P> 10d [Fe/H]> −0.5 -5.95 0.0 0.0 -3.25 0.0 0.0 -0.841 0.439 0.435 -0.008 0.007 0.007 53 18.205 0.182 28 32

Notes. The units of α,  β,  γ,  ϵ and of their uncertainties are mag, mag/dex, mag/dex and mas, respectively.

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