Evolution of parent halo mass, galaxy stellar mass, SFR, and BH mass for the massive quiescent galaxies at z ∼ 4.5 considered in Fig. 3. Green and magenta lines refer to the top and bottom panels, respectively, with the thickness of the lines and color shade increasing with overdensity values as indicated in the legend included in the left panel. Different line styles are used to show different galaxies for clearer visualization. M₂₀₀ and M_BH are shown for the main progenitor at each previous cosmic epoch, while for the galaxy stellar mass and SFR we show the sum of all progenitors at the corresponding epoch.