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Table 4.

Same as Table 3 but for the PWZ relations of the mathematical form, Wλ2, λ1 = α + βlog(P)+γ[Fe/H].

Band Mode α β γ σ N (|T|, p(t)) w.r.t. BL Her models from this work (a)
(LSST) Set A Set B Set C Set D

Complete set of models (0.5 − 0.8 M)
Wug F −3.28 ± 0.04 −1.29 ± 0.14 −0.22 ± 0.02 0.219 155 (10.968,0.0) (9.491,0.0) (12.25,0.0) (10.7,0.0)
Wur F −1.622 ± 0.019 −2.09 ± 0.07 −0.059 ± 0.011 0.010 155 (10.671,0.0) (8.469,0.0) (11.672,0.0) (9.595,0.0)
Wgr F −0.489 ± 0.013 −2.63 ± 0.04 0.047 ± 0.008 0.068 155 (5.548,0.0) (2.8,0.005) (5.591,0.0) (3.309,0.001)
Wgi F −0.178 ± 0.009 −2.51 ± 0.03 0.11 ± 0.005 0.046 155 (6.148,0.0) (2.394,0.017) (5.259,0.0) (2.496,0.013)
Wiz F 0.295 ± 0.01 −2.13 ± 0.03 0.185 ± 0.006 0.051 155 (7.373,0.0) (2.566,0.01) (5.537,0.0) (2.395,0.017)
Wgy F 0.071 ± 0.008 −2.23 ± 0.03 0.147 ± 0.005 0.042 155 (8.73,0.0) (4.26,0.0) (7.35,0.0) (4.274,0.0)

Low-mass models only (0.5 − 0.6 M)

Wug F −3.28 ± 0.04 −1.29 ± 0.14 −0.22 ± 0.02 0.219 155 (8.7,0.0) (7.662,0.0) (11.106,0.0) (10.167,0.0)
Wur F −1.622 ± 0.019 −2.09 ± 0.07 −0.059 ± 0.011 0.010 155 (7.811,0.0) (6.282,0.0) (10.228,0.0) (9.014,0.0)
Wgr F −0.489 ± 0.013 −2.63 ± 0.04 0.047 ± 0.008 0.068 155 (2.646,0.008) (0.677,0.498) (4.188,0.0) (2.804,0.005)
Wgi F −0.178 ± 0.009 −2.51 ± 0.03 0.11 ± 0.005 0.046 155 (1.479,0.139) (0.972,0.331) (3.144,0.002) (1.718,0.086)
Wiz F 0.295 ± 0.01 −2.13 ± 0.03 0.185 ± 0.006 0.051 155 (0.0,1.0) (2.561,0.011) (2.266,0.024) (1.145,0.252)
Wgy F 0.071 ± 0.008 −2.23 ± 0.03 0.147 ± 0.005 0.042 155 (2.258,0.024) (0.269,0.788) (4.471,0.0) (3.174,0.002)

Notes.

(a)

The PWZ relations for the BL Her models are provided in Table C.5.

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