Localized ultraviolet perturbations to black hole effective potentials drive the fundamental quasinormal mode along spiral paths in the complex plane, with trajectories set by perturbation size, decay profile, and interplay between delta-function and jump-discontinuity types.
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Numerical ringdown waveforms for black holes in Dehnen dark matter profiles are generated and analyzed for detectability and parameter inference using second-generation TDI in space-based detectors such as LISA, Taiji, and TianQin.