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Table 4.

Coefficients of the PL and PW relations for ACs in the LMC and the SMC.

Rel. Mode α σα β σβ RMS s/o α σα β σβ RMS s/o
mag mag mag/dex mag/dex mag mag mag mag/dex mag/dex mag
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14)
LMC SMC
PLI F 17.330 0.028 −3.01 0.15 0.171 79/5 17.729 0.024 −2.70 0.16 0.128 45/3
PLI 1O 16.706 0.032 −3.28 0.24 0.166 34/1 17.152 0.043 −3.81 0.41 0.212 28/0
PLI All 17.287 0.026 −2.95 0.13 0.179 113/6 17.737 0.031 −2.97 0.17 0.181 75/1
PLV F 17.801 0.035 −2.82 0.19 0.223 80/4 18.214 0.029 −2.43 0.19 0.155 46/2
PLV 1O 17.096 0.041 −3.31 0.32 0.221 35/0 17.568 0.054 −3.78 0.52 0.266 28/0
PLV All 17.735 0.035 −2.74 0.17 0.242 115/4 18.193 0.040 −2.65 0.23 0.235 76/0
PLG F 17.784 0.037 −2.99 0.20 0.238 83/1 18.148 0.030 −2.60 0.20 0.158 46/2
PLG 1O 17.054 0.038 −3.27 0.29 0.202 34/1 17.486 0.049 −3.85 0.47 0.240 27/1
PLG All 17.708 0.036 −2.85 0.18 0.253 117/2 18.125 0.038 −2.80 0.21 0.219 75/1
PLBP F 17.871 0.041 −2.75 0.22 0.266 82/2 18.288 0.034 −2.37 0.23 0.179 47/1
PLBP 1O 17.201 0.048 −3.05 0.38 0.258 35/0 17.652 0.047 −3.28 0.46 0.224 25/1
PLBP All 17.812 0.041 −2.62 0.20 0.288 118/1 18.239 0.041 −2.46 0.23 0.237 74/0
PLRP F 17.356 0.034 −2.78 0.18 0.214 81/3 17.763 0.030 −2.66 0.20 0.158 47/1
PLRP 1O 16.758 0.036 −3.13 0.29 0.195 35/0 17.196 0.043 −3.55 0.44 0.208 26/0
PLRP All 17.313 0.030 −2.76 0.15 0.208 115/4 17.742 0.034 −2.76 0.19 0.194 74/0
PLY F 17.109 0.036 −2.80 0.19 0.226 81/1 17.475 0.037 −2.62 0.23 0.192 48/0
PLY 1O 16.415 0.026 −3.61 0.20 0.133 32/3 16.962 0.043 −3.55 0.44 0.210 26/0
PLY All 17.074 0.030 −2.82 0.15 0.210 115/2 17.487 0.035 −2.84 0.20 0.201 74/0
PLJ F 16.962 0.028 −2.98 0.14 0.176 81/2 17.357 0.030 −2.75 0.20 0.159 47/1
PLJ 1O 16.370 0.025 −3.25 0.20 0.134 34/1 16.839 0.041 −3.70 0.42 0.201 26/0
PLJ All 16.924 0.025 −2.95 0.12 0.174 116/2 17.380 0.031 −3.01 0.18 0.178 73/1
PLK F 16.686 0.025 −3.12 0.13 0.155 78/5 17.073 0.032 −2.92 0.21 0.171 47/1
PLK 1O 16.126 0.024 −3.41 0.18 0.127 33/2 16.590 0.046 −3.75 0.44 0.223 27/0
PLK All 16.667 0.022 −3.14 0.11 0.152 112/6 17.09 0.03 −3.08 0.17 0.174 72/3
PWVI F 16.601 0.024 −3.14 0.13 0.148 80/4 16.942 0.026 −3.04 0.17 0.121 44/4
PWVI 1O 16.240 0.015 −2.61 0.11 0.041 19/16 16.379 0.023 −4.29 0.23 0.079 22/6
PWVI All 16.589 0.021 −3.07 0.11 0.117 112/7 17.02 0.032 −3.41 0.18 0.164 75/1
PWG F 16.768 0.031 −2.98 0.16 0.202 82/2 17.144 0.033 −3.18 0.21 0.158 46/2
PWG 1O 16.238 0.027 −3.23 0.22 0.143 33/2 16.664 0.045 −3.84 0.45 0.213 26/0
PWG All 16.759 0.027 −3.05 0.13 0.175 116/3 17.161 0.030 −3.28 0.18 0.161 69/5
PWVK F 16.541 0.022 −3.17 0.12 0.136 75/8 16.950 0.024 −3.14 0.16 0.126 42/6
PWVK 1O 15.991 0.026 −3.42 0.20 0.136 33/2 16.452 0.050 −3.77 0.48 0.243 27/0
PWVK All 16.537 0.021 −3.21 0.10 0.136 109/9 16.962 0.037 −3.25 0.21 0.216 75/0
PWYK F 16.484 0.023 −3.30 0.12 0.141 76/6 16.888 0.026 −3.14 0.17 0.134 43/5
PWYK 1O 15.944 0.027 −3.41 0.21 0.140 33/2 16.307 0.023 −3.78 0.26 0.093 19/7
PWYK All 16.470 0.021 −3.29 0.10 0.139 109/8 16.915 0.038 −3.40 0.22 0.222 74/0
PWJK F 16.504 0.025 −3.21 0.13 0.152 76/7 16.874 0.029 −3.04 0.19 0.148 44/4
PWJK 1O 15.951 0.028 −3.50 0.21 0.146 33/2 16.386 0.048 −4.12 0.49 0.235 26/0
PWJK All 16.494 0.022 −3.25 0.11 0.148 109/9 16.892 0.035 −3.21 0.20 0.200 72/2

Notes. The PL and the PW relations have the form y = α + β ⋅ log x, where x and y are the period and magnitude, respectively. The different columns report (1) the type of relationship and the band of interest; (2) the pulsating mode; (3)–(4) and (9)–(10), the α coefficient (relative intercept) and relative uncertainty; (5)–(6) and (11)–(12), the β coefficient (slope) and relative uncertainty; (7) and (13), the root mean square (RMS) of the relation; (8) and (14), the number of stars used in the fit and the outliers excluded from the fit, respectively. Gray and cyan shaded rows are the PL and PW relations with the smallest dispersion for F mode and F+1O mode ACs, respectively.

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