Upper panels: fundamental plane for Horizon-AGN (left panel) and Horizon-noAGN (right panel) central ETGs obtained with the parameters calculated with data from Cappellari et al. (2013a) estimated at z = 0 (magenta lines), z = 0.5 (blue lines), z = 1 (red lines), z = 2 (green lines), and z = 3 (yellow lines). The regions between the 25 and 75% are shaded. For comparison, the observational results from ATLAS^3D (black crosses) are also included. Lower panels: similar relations for z = 0 including the individual galaxies. The scatter plot of the simulated galaxies is depicted in grey circles in both panels. Horizon-noAGN central ETGs with average surface density greater than 10^9.5 M_⊙ kpc⁻² are highlighted (green squares). Such dense galaxies do not exist in the Horizon-AGN sample. The 1:1 line is depicted in black.