Simulated scaling relations for the SMBHs modelled at run-time in our A3 and B4 runs, at three different epochs. The first column show the relation between the gas mass of the host galaxy and the SMBH mass, compared with the scaling relation inferred from observations by Gaspari et al. (2019). The second column shows the relation between the SMBH mass and the mass accretion rate onto the SMBH; the third column gives the relation between the SMBH mass and the jet velocity associated with feedback events.