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tokens: The authors acknowledge financial support from the Programme National de Physique Stellaire (PNPS) of CNRS/ INSU and from the Agence Nationale pour la Recherche (ANR) through the IMAGINE project. T.G. is supported by the Special Priority Program 1488 PlanetMag of the German Science Foundation. The authors wish to thank Sébastien Deheuvels for providing us with a density profile from a stellar evolutionary model.