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Fig. A.1.

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Power spectra from the nonlinear rotating convection simulation of (a) the l = m component of longitudinal velocity vϕ, (b) the l = m + 1 component of latitudinal velocity vθ, and (c) the l = m + 1 component of radial vorticity ζr near the surface r = 0.95R. The spectra are computed in the Carrington frame. The power is normalized at each m. Cyan diamonds denote the observed frequencies of the HHS22 modes hanson2022. Orange points show the dispersion relation of the HHS22 modes obtained from the linear calculation (model 3-sub with δcz = −5 × 10−7 and δsf = 10−3). The power ridge associated with the columnar convective modes is denoted by black arrows.

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