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Table I.2.

As for Table I.1 but for fixed β and ϵ, adopting for the latter two representative values: 10 μas and 14 μas.

Variation α σαlow σαhigh β σβlow σβhigh γ σγlow σγhigh ϵ σϵlow σϵhigh N μLMC σμLMC AIC BIC
Fixed β and ϵ( = 0.010 mas)
G< 10.5 mag -6.002 0.035 0.035 -3.25 0.0 0.0 -0.439 0.34 0.359 -0.01 0.0 0.0 64 18.421 0.144 47 51
G< 11.5 mag -6.006 0.029 0.028 -3.25 0.0 0.0 -0.362 0.225 0.232 -0.01 0.0 0.0 100 18.457 0.097 78 83
G< 12.5 mag -6.007 0.026 0.027 -3.25 0.0 0.0 -0.381 0.143 0.143 -0.01 0.0 0.0 137 18.451 0.066 108 114
G< 13.5 mag -6.01 0.027 0.028 -3.25 0.0 0.0 -0.538 0.103 0.098 -0.01 0.0 0.0 224 18.39 0.053 176 182
G< 14.5 mag -6.012 0.026 0.026 -3.25 0.0 0.0 -0.499 0.096 0.094 -0.01 0.0 0.0 243 18.408 0.049 189 196
G> 10.5 mag -6.058 0.055 0.057 -3.25 0.0 0.0 -0.595 0.129 0.127 -0.01 0.0 0.0 203 18.414 0.079 150 156
G> 11.5 mag -6.172 0.1 0.098 -3.25 0.0 0.0 -0.797 0.186 0.183 -0.01 0.0 0.0 167 18.445 0.128 117 123
G> 12.5 mag -6.219 0.137 0.137 -3.25 0.0 0.0 -0.896 0.244 0.239 -0.01 0.0 0.0 130 18.452 0.172 88 94
SNR< 10 -6.263 0.113 0.121 -3.25 0.0 0.0 -0.831 0.215 0.229 -0.01 0.0 0.0 133 18.522 0.146 77 83
SNR> 10 -5.992 0.027 0.028 -3.25 0.0 0.0 -0.563 0.137 0.132 -0.01 0.0 0.0 133 18.361 0.065 105 111
SNR< 15 -6.132 0.07 0.072 -3.25 0.0 0.0 -0.736 0.145 0.146 -0.01 0.0 0.0 192 18.431 0.095 133 139
SNR> 15 -5.998 0.03 0.03 -3.25 0.0 0.0 -0.31 0.216 0.228 -0.01 0.0 0.0 74 18.47 0.094 56 61
D< 3 Kpc -5.981 0.033 0.033 -3.25 0.0 0.0 -0.491 0.257 0.299 -0.01 0.0 0.0 65 18.38 0.111 53 58
D> 3 Kpc -6.118 0.057 0.058 -3.25 0.0 0.0 -0.703 0.139 0.138 -0.01 0.0 0.0 202 18.429 0.083 137 144
D< 4 Kpc -5.999 0.028 0.028 -3.25 0.0 0.0 -0.38 0.207 0.213 -0.01 0.0 0.0 100 18.444 0.09 79 84
D> 4 Kpc -6.189 0.092 0.096 -3.25 0.0 0.0 -0.813 0.175 0.177 -0.01 0.0 0.0 167 18.456 0.119 109 116
-0.7< [Fe/H]< +0.1 -5.988 0.034 0.035 -3.25 0.0 0.0 -0.427 0.149 0.148 -0.01 0.0 0.0 199 18.413 0.071 143 149
-0.7< [Fe/H]< +0.2 -6.008 0.027 0.028 -3.25 0.0 0.0 -0.503 0.127 0.124 -0.01 0.0 0.0 223 18.402 0.061 154 161
-0.7< [Fe/H]< +0.3 -6.011 0.027 0.028 -3.25 0.0 0.0 -0.513 0.125 0.122 -0.01 0.0 0.0 230 18.4 0.06 166 173
-0.5< [Fe/H]< +0.1 -5.982 0.033 0.035 -3.25 0.0 0.0 -0.294 0.205 0.203 -0.01 0.0 0.0 156 18.462 0.091 110 116
-0.5< [Fe/H]< +0.2 -6.009 0.027 0.028 -3.25 0.0 0.0 -0.438 0.165 0.161 -0.01 0.0 0.0 180 18.429 0.074 127 134
-0.5< [Fe/H]< +0.3 -6.012 0.027 0.028 -3.25 0.0 0.0 -0.459 0.162 0.16 -0.01 0.0 0.0 187 18.423 0.073 136 143
P> 5d -5.994 0.033 0.033 -3.25 0.0 0.0 -0.661 0.222 0.208 -0.01 0.0 0.0 125 18.323 0.099 92 98
P> 10d -5.992 0.05 0.05 -3.25 0.0 0.0 -0.354 0.349 0.348 -0.01 0.0 0.0 61 18.446 0.152 38 43
P> 5d SNR> 10 -5.969 0.036 0.035 -3.25 0.0 0.0 -0.609 0.284 0.294 -0.01 0.0 0.0 75 18.319 0.123 51 56
P> 10d SNR> 10 -5.939 0.061 0.065 -3.25 0.0 0.0 -0.854 0.589 0.555 -0.01 0.0 0.0 34 18.189 0.25 17 20
P> 5d [Fe/H]> −0.5 -5.99 0.033 0.033 -3.25 0.0 0.0 -0.71 0.271 0.267 -0.01 0.0 0.0 108 18.298 0.118 74 80
P> 10d [Fe/H]> −0.5 -5.972 0.058 0.06 -3.25 0.0 0.0 -0.793 0.495 0.458 -0.01 0.0 0.0 53 18.247 0.212 25 29
Fixed β and ϵ( = 0.014 mas)
G< 10.5 mag -6.019 0.035 0.036 -3.25 0.0 0.0 -0.416 0.338 0.358 -0.014 0.0 0.0 64 18.448 0.143 48 52
G< 11.5 mag -6.026 0.028 0.029 -3.25 0.0 0.0 -0.341 0.219 0.231 -0.014 0.0 0.0 100 18.486 0.095 79 84
G< 12.5 mag -6.029 0.027 0.028 -3.25 0.0 0.0 -0.338 0.148 0.148 -0.014 0.0 0.0 137 18.49 0.067 105 110
G< 13.5 mag -6.034 0.027 0.027 -3.25 0.0 0.0 -0.482 0.103 0.103 -0.014 0.0 0.0 224 18.436 0.052 176 183
G< 14.5 mag -6.037 0.027 0.028 -3.25 0.0 0.0 -0.44 0.102 0.099 -0.014 0.0 0.0 243 18.456 0.051 185 192
G> 10.5 mag -6.095 0.057 0.059 -3.25 0.0 0.0 -0.553 0.132 0.133 -0.014 0.0 0.0 203 18.468 0.08 148 154
G> 11.5 mag -6.23 0.103 0.099 -3.25 0.0 0.0 -0.794 0.194 0.189 -0.014 0.0 0.0 167 18.504 0.132 116 122
G> 12.5 mag -6.3 0.142 0.141 -3.25 0.0 0.0 -0.917 0.249 0.245 -0.014 0.0 0.0 130 18.524 0.177 85 91
SNR< 10 -6.331 0.119 0.127 -3.25 0.0 0.0 -0.819 0.228 0.24 -0.014 0.0 0.0 133 18.595 0.153 73 79
SNR> 10 -6.013 0.027 0.027 -3.25 0.0 0.0 -0.522 0.131 0.129 -0.014 0.0 0.0 133 18.399 0.062 108 114
SNR< 15 -6.181 0.073 0.075 -3.25 0.0 0.0 -0.71 0.152 0.151 -0.014 0.0 0.0 192 18.49 0.098 131 137
SNR> 15 -6.015 0.029 0.029 -3.25 0.0 0.0 -0.3 0.205 0.217 -0.014 0.0 0.0 74 18.492 0.089 60 64
D< 3 Kpc -5.997 0.034 0.033 -3.25 0.0 0.0 -0.496 0.262 0.304 -0.014 0.0 0.0 65 18.394 0.114 53 58
D> 3 Kpc -6.156 0.059 0.061 -3.25 0.0 0.0 -0.666 0.141 0.142 -0.014 0.0 0.0 202 18.483 0.085 136 142
D< 4 Kpc -6.019 0.028 0.029 -3.25 0.0 0.0 -0.369 0.204 0.206 -0.014 0.0 0.0 100 18.467 0.089 81 86
D> 4 Kpc -6.256 0.095 0.098 -3.25 0.0 0.0 -0.811 0.178 0.18 -0.014 0.0 0.0 167 18.523 0.123 107 114
-0.7< [Fe/H]< +0.1 -6.007 0.034 0.036 -3.25 0.0 0.0 -0.338 0.156 0.151 -0.014 0.0 0.0 199 18.468 0.073 142 148
-0.7< [Fe/H]< +0.2 -6.032 0.029 0.029 -3.25 0.0 0.0 -0.433 0.13 0.125 -0.014 0.0 0.0 223 18.455 0.062 153 160
-0.7< [Fe/H]< +0.3 -6.035 0.028 0.028 -3.25 0.0 0.0 -0.445 0.129 0.124 -0.014 0.0 0.0 230 18.453 0.061 164 171
-0.5< [Fe/H]< +0.1 -6.001 0.033 0.035 -3.25 0.0 0.0 -0.202 0.196 0.2 -0.014 0.0 0.0 156 18.518 0.087 113 119
-0.5< [Fe/H]< +0.2 -6.032 0.028 0.029 -3.25 0.0 0.0 -0.37 0.167 0.161 -0.014 0.0 0.0 180 18.48 0.075 125 132
-0.5< [Fe/H]< +0.3 -6.035 0.028 0.028 -3.25 0.0 0.0 -0.392 0.162 0.159 -0.014 0.0 0.0 187 18.474 0.073 137 143
P> 5d -6.018 0.033 0.034 -3.25 0.0 0.0 -0.587 0.212 0.207 -0.014 0.0 0.0 125 18.378 0.095 94 100
P> 10d -6.021 0.047 0.049 -3.25 0.0 0.0 -0.276 0.336 0.349 -0.014 0.0 0.0 61 18.507 0.146 40 44
P> 5d SNR> 10 -5.989 0.034 0.035 -3.25 0.0 0.0 -0.557 0.266 0.281 -0.014 0.0 0.0 75 18.361 0.116 52 56
P> 10d SNR> 10 -5.964 0.063 0.068 -3.25 0.0 0.0 -0.805 0.589 0.575 -0.014 0.0 0.0 34 18.234 0.251 16 19
P> 5d [Fe/H]> −0.5 -6.013 0.035 0.036 -3.25 0.0 0.0 -0.635 0.273 0.281 -0.014 0.0 0.0 108 18.352 0.119 71 77
P> 10d [Fe/H]> −0.5 -6.0 0.059 0.061 -3.25 0.0 0.0 -0.717 0.508 0.484 -0.014 0.0 0.0 53 18.306 0.218 25 28

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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