Period P as a function of vertical wavenumber k_z for (a) the slow-body waves and (b) the fast-body waves for n = 1, 2, 3, 4, 5, and 10 with m = 2 in the subphotospheric condition (c_s, e > c_s > v_A). The white area in panel a marks the range of v_A > v_p > c_T within which the slow-body wave solution can exist, and that in panel b represents the range within which the fast-body wave can exist (c_s, e > v_p > c_s). The inset figure in panel a shows the magnified figure in the ranges of 0.011 < k_z < 0.012 km s⁻¹ and 155 < P < 165 s. The dashed line represents the period of 160 s. The color-shaded regions in panel b represent the regions with the same cutoff radial mode n_M; yellow is n_M = 2, green is n_M = 3, blue is n_M = 4 and purple is n_M ≥ 5. We have taken the internal sound speed of c_s = 6.3 km s⁻¹, internal Alfvén speed of v_A = 0.56c_s, and external sound speed of c_s, e = 1.7c_s.