Fig. B.1.

Attempt to find the first zero of at the radiative–convective boundary. We consider the typical red giant with M = 1.5 M⊙, Z = 0.02 on the RGB. Panel a: trend of the evolution of the ψ function at r = Rrad with the eigenvalue λ. The value λ1 closest to the eigenvalue is indicated by the red vertical line. Panel b: shape of the functions
,
and ψλ1(r, θ) with λ1 ≃ 7.62, the vertical dashed line indicates the surface. Panel c: magnetic field components with λ1 ≃ 7.62. Panel d: resulting magnetic field topology with λ1 ≃ 7.62.
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