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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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