M_BH − M_gal relation from this work compared with observational results. All masses are given in solar masses (M_⊙). The filled red area represents the parameter space spanned by the BH and host galaxy masses from this work for different combinations of α and β. In yellow we show the BH (and host galaxy) mass for α = 1.0 and β = 0.6 with a maximum mass seed of 10⁷ M_⊙. On the other hand, in green we show the masses without limiting the mass of the seed. The dashed black line and gray shaded area show the empirical M_BH − M_gal relation for local (z = 0) galaxies (Reines & Volonteri 2015). We include data points from high-redshift (z = 4–7) observational studies from Harikane et al. (2023, blue open diamonds), data points from Maiolino et al. (2024, purple open squares), and from Zhang et al. (2025, cyan square). The dotted black lines indicate constant BH-to-galaxy mass ratios, labeled M_BH/M_gal = 0.1 and 0.001.