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Table 2

Parameters for the generalized extreme value distribution of maximal convective penetration length Δrmax.

Location parameter μ Scale parameter λ Shape parameter κ

Vertical kinetic energy flux

YS0 1.34 × 10-2 ± 6 × 10-6 4.60 × 10-3 ± 3 × 10-6 − 0.133 ± 6 × 10-4
YS1 1.63 × 10-2 ± 5 × 10-6 2.50 × 10-3 ± 1 × 10-6 − 0.115 ± 1 × 10-3
YS2 1.51 × 10-2 ± 1 × 10-5 1.84 × 10-3 ± 3 × 10-6 − 0.10 ± 3 × 10-3
YS3 5.01 × 10-2 ± 4 × 10-5 8.87 × 10-3 ± 3 × 10-5 − 0.21 ± 1 × 10-3
YS4 5.11 × 10-2 ± 7 × 10-5 9.40 × 10-3 ± 4 × 10-5 0
YS5 5.55 × 10-2 ± 1 × 10-4 7.46 × 10-3 ± 8 × 10-5 0
YS6 6.34 × 10-2 ± 1 × 10-4 1.71 × 10-2 ± 1 × 10-4 0

Vertical heat flux

YS0 6.22 × 10-3 ± 5 × 10-6 5.68 × 10-3 ± 4 × 10-6 0
YS1 1.59 × 10-2 ± 6 × 10-6 3.13 × 10-3 ± 1·10-6 − 0.21 ± 1 × 10-6
YS2 1.46 × 10-2 ± 2 × 10-6 2.72 × 10-3 ± 2 × 10-6 − 0.20 ± 1 × 10-3
YS3 3.55 × 10-2 ± 5 × 10-5 1.20 × 10-2 ± 3 × 10-5 0
YS4 5.49 × 10-2 ± 8 × 10-5 1.28 × 10-2 ± 5 × 10-5 0
YS5 2.46 × 10-2 ± 1 × 10-4 7.52 × 10-3 ± 8 × 10-5 0
YS6 3.70 × 10-2 ± 3 × 10-5 8.52 × 10-3 ± 2 × 10-5 0

Notes. Parameters μ and λ are given in units of R, the stellar radius. The shape parameter κ is nondimensional. Errors provided are the standard error of the fit.

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