Notes. Y₀ is the initial helium mass fraction; α_MLT is the mixing length parameter; η_R and η_B are the Reimers and Blöcker scaling factors for the mass loss prescriptions on the RGB and AGB, respectively; α_ov, H, α_ov, He, and α_ov, env are the H-core overshooting, He-core overshooting, and envelope undershooting parameters, respectively, in units of the pressure scale height H_P; α_sc and α_th are the efficiencies of semi-convection and thermohaline convection following Eqs. (12) and (14) of Paxton et al. (2013), respectively; Ω_ZAMS/Ω_crit is the ratio between the angular velocity at the ZAMS and the surface critical angular velocity for the star to be dislocated. These physical ingredients are described in Sect. 2. ^( * )α_sc is always 0 except when considering core-He overshooting. In that case, we set α_sc = 0.1.