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Table 1

Stages of MBH dynamics in RAMSES and RAMCOAL.

Stage 0 Until MBHs are separated by 4Δx RAMSES Dynamical friction
Stage 1 After Stage 0 until MBHs are gravitationally bound RAMCOAL Dynamical friction
Stage 2 After Stage 1 until coalescence RAMCOAL Stellar hardening, migration in a circumbinary disc, GW emission

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