HRD of the Pop III models from Murphy et al. (2021a) (blue: υ_ini = 0, red: υ_ini = 0.4 υ_crit) and the rapidly rotating models computed for this work (green: υ_ini = 0.7 υ_crit). The symbols drawn at the end of the tracks mark the final evolutionary stage attained: a star for models that have completed the core He-burning phase, a circle for models that are either in the core C-burning phase or at the end of it, and a diamond for models that are after the core C-burning phase. The models without any symbol were stopped in the core He-burning phase. Iso-radius lines are drawn in dotted grey. The pink arrows indicate the transition between the pp-contraction phase and the pp-CNO-sustained phase.