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Fig. A.1

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Top: histogram of the relative differences (in %) between the theoretical τeff and the measured ones. The solid black line corresponds to the histogram of the relative difference Dτ = (τeff, ⊙/τeff,m)   z2 − 1 and the dashed red line to residuals , where z2 = (νref/νmax)   (ℳa,0/ℳa) is our theoretical scaling relation and the classical one. Bottom: histogram of the relative differences (in %) between the theoretical σ and the measured ones. The solid black line correspond to the histogram of the relative difference Dσ = (σ/σm)   z3 − 1 and the dashed red line to the relative difference , where z3 (Eq. (19)) is the new theoretical scaling relation and c3 (Eq. (20)) is the classical one.

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