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Table 8.

PL relations of the form M = α + β log P + γ[Fe/H] and variation in the parameters.

α β γ N Constraints LMC DM (mag)
Standard: FU, 2.7 < P(d) < 35, |GOF|< 8, ɛi < 0.001, δPL applied, GDR2+Ext set, ZPoff = −0.049 mas
160 −1.390 ± 0.033 −2.810 fixed −0.051 ± 0.260 205 V, standard 18.544 ± 0.097
161 −1.470 ± 0.060 −2.810 fixed −0.042 ± 0.453 205 V, δ PL · 2 = 0.40 mag 18.627 ± 0.170
162 −1.372 ± 0.035 −2.810 fixed −0.149 ± 0.280 205 V, σπ · 1.5 for GDR2 18.492 ± 0.104
163 −1.442 ± 0.032 −2.810 fixed −0.084 ± 0.248 205 V, E(B − V) · 1.05 18.585 ± 0.093
164 −1.394 ± 0.039 −2.810 fixed −0.005 ± 0.264 205 V, other pick of Iron abundance 18.564 ± 0.100
165 −1.388 ± 0.033 −2.810 fixed −0.060 ± 0.268 205 V, σ [Fe / H] = 0.04 dex 18.539 ± 0.099
166 −1.405 ± 0.053 −2.810 fixed −0.230 ± 0.443 28 V, σ π /π < 0.05 18.497 ± 0.164
167 −1.389 ± 0.033 −2.810 fixed +0.010 ± 0.262 208 V, P > 2.7d 18.565 ± 0.097
168 −1.385 ± 0.033 −2.810 fixed −0.047 ± 0.243 217 V, P > 2.0d 18.541 ± 0.091
170 −2.610 ± 0.016 −3.260 fixed −0.182 ± 0.145 205 K, standard 18.599 ± 0.054
171 −2.618 ± 0.023 −3.260 fixed −0.183 ± 0.177 205 K, δ PL · 2 = 0.13 mag 18.607 ± 0.067
172 −2.584 ± 0.019 −3.260 fixed −0.279 ± 0.164 205 K, σ π · 1.5 for GDR2 18.539 ± 0.062
173 −2.614 ± 0.016 −3.260 fixed −0.185 ± 0.146 205 K, E(B − V) · 1.05 18.602 ± 0.054
174 −2.591 ± 0.016 −3.260 fixed −0.171 ± 0.143 205 K, AK /AV = 0.10 18.584 ± 0.053
175 −2.611 ± 0.019 −3.260 fixed −0.113 ± 0.157 205 K, other pick of Iron abundance 18.624 ± 0.058
176 −2.604 ± 0.016 −3.260 fixed −0.259 ± 0.140 205 K, σ[Fe/H] = 0.04 dex 18.566 ± 0.053
177 −2.602 ± 0.025 −3.260 fixed −0.267 ± 0.260 28 K, σ π /π < 0.05 18.562 ± 0.095
178 −2.609 ± 0.017 −3.260 fixed −0.141 ± 0.151 208 K, P > 2.7d 18.612 ± 0.056
179 −2.605 ± 0.016 −3.260 fixed −0.207 ± 0.146 217 K, P > 2.0d 18.586 ± 0.055
180 −2.769 ± 0.015 −3.325 fixed −0.200 ± 0.141 205 WVK, standard 18.569 ± 0.054
181 −2.773 ± 0.019 −3.325 fixed −0.197 ± 0.157 205 WVK, δPL · 2 = 0.09 mag 18.574 ± 0.060
182 −2.741 ± 0.018 −3.325 fixed −0.297 ± 0.166 205 WVK, σπ · 1.5 for GDR2 18.507 ± 0.064
183 −2.769 ± 0.015 −3.325 fixed −0.200 ± 0.141 205 WVK, E(B − V) · 1.05 18.569 ± 0.054
184 −2.748 ± 0.015 −3.325 fixed −0.186 ± 0.141 205 WVK, AK /AV = 0.10 18.553 ± 0.054
185 −2.770 ± 0.019 −3.325 fixed −0.126 ± 0.155 205 WVK, other pick of Iron abundance 18.596 ± 0.059
186 −2.762 ± 0.015 −3.325 fixed −0.285 ± 0.133 205 WVK, σ [Fe / H] = 0.04 dex 18.532 ± 0.053
187 −2.768 ± 0.015 −3.325 fixed −0.199 ± 0.143 205 WVK, σ V · 2, σ K · 2 18.568 ± 0.055
188 −2.784 ± 0.015 −3.325 fixed −0.191 ± 0.145 205 WVK, No NIR transformation 18.587 ± 0.055
189 −2.756 ± 0.024 −3.325 fixed −0.273 ± 0.247 28 WVK, σ π /π < 0.05 18.530 ± 0.092
190 −2.768 ± 0.016 −3.325 fixed −0.158 ± 0.147 208 WVK, P > 2.7d 18.583 ± 0.056
191 −2.763 ± 0.015 −3.325 fixed −0.224 ± 0.140 217 WVK, P > 2.0d 18.555 ± 0.054
200 −1.840 ± 0.118 −2.243 ± 0.137 0.0 fixed 205 V, standard
201 −2.827 ± 0.055 −3.000 ± 0.065 0.0 fixed 205 K, standard
202 −2.961 ± 0.051 −3.098 ± 0.060 0.0 fixed 205 WVK, standard

Notes.N is the number of stars in the solution.

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