Z_dilute vs. m_dilute for two types of models. Z_dilute is the maximum mass fraction of heavy elements in the dilute core region while m_dilute controls the extent of the dilute core in terms of mass (see Sect. 2.2). Left panel: models using original EOSs. Z₁ = 0.02. Right panel: models with a modification of the EOS. The initial EOS that has been modified is MH13. We present two subsets of models: with T_1bar = 166.1 K and T_1bar = 174.1 K. The thin gray dotted line corresponds to m_dilute = 0.2, which corresponds approximately to the extent of the dilute core of 20% of Jupiter's mass predicted by formation models from Müller et al. (2020).