Simulation properties at 13 Gyr, each point representing a different simulation. Moving downwards on the y-axis: luminosity density (in units of L_⊙ per²), core to half-light radius ratio (R_c/R_hl), dynamical age (n_h), inverse of the equipartition mass, μ(< 0.1R_hl), BH mass fraction (M_bh/M_GC), and mass segregation parameter Δ. Simulations are color-coded according to the number of BHs (N_BH) at 13 Gyr. A value of log N_BH = −0.5 was assigned to those with no BHs. Similarly, simulations that do not retain any BH at 13 Gyr are shown at M_BH/M_GC = 5 × 10⁻⁶ on the bottom row for visualization purposes only.