Left: normalized frequency λ = ω/2Ω₀ vs. ratio of Alfvén to surface speed α = v_A/2Ω₀R₀. Here s = 1 (toroidal wave number) and (ratio of surface to internal gravity speed). The blue, red, green, and yellow asterisks (circles) correspond to the positive (negative) solutions of the dispersion relation Eq. (36) for the n = 1, n = 2, n = 3, and n = 4 harmonics, respectively. Right: normalized frequency λ = ω/2Ω₀ vs. ϵ for s = 1 and α = 0.1.