SMBH–host galaxy correlations in Illustris (top) and TNG100 (bottom) simulations. The left panels show the M_BH–σ relation compared with the observed best-fitting relations (Kormendy & Ho 2013; McConnell & Ma 2013; Martín-Navarro et al. 2018). The middle panels show the M_BH–M_* relation compared with the observed data in Reines & Volonteri (2015) and Terrazas et al. (2016). The right panels show the correlation between M_BH and Sérsic index compared with the linear best-fitting relations from Graham & Driver (2007), Savorgnan (2016), and Davis et al. (2019) for the observed galaxies. Also plotted are the data points from Graham & Driver (2007). For clarity, the error bars of the observed data are not plotted here. Simulation data only include galaxies with M_* ≳ 10¹⁰M_⊙ for Illustris and M_* ≳ 5 × 10⁹M_⊙ for TNG100.