As in Fig. 1, but for spiral modes extracted from the spectrogram analysis of Model1 by Hilmi et al. (2020), which was based on the Buck et al. (2020) cosmological simulation. Different multiplicities are shown in each panel, as indicated. In each panel, the disc angular velocity Ω_d(R) is indicated with the dotted line. In the two upper panels (with modes m = 2 and m = 4), we also show the resonances Ω_p2(R) = Ω_d(R)±κ/2 and Ω_p4(R) = Ω_d(R)±κ/4, which are indicated with solid and dashed black curves, respectively. In the lower two panels, the solid and dashed black lines were computed as Ω_p1(R) = Ω_d(R)±κ and Ω_p3(R) = Ω_d(R)±κ/3.