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Fig. 7.

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Evolution of the logarithmic density slope parameter γ for NGC205 with 1:4 mass ratio. γ was calculated by fitting and averaging over the nine snapshots in a timespan of ≈0.1 Myr. The errors of the averaging are less than one percent. The color coding represents three different components: BHs (black), stars (orange), and all particles (red). The top panel shows the γ for the first 3.5 Myr of the evolution, whereas bottom panel shows the same for full-time evolution. The gray zone in the top panel indicates the IMBH binary formation to a hard binary transition time. Dashed horizontal lines show ρ(r) relations for various power indices, including the BW cusp.

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