Examples of normalized amplitudes distributions (real part of ) on the equator as a function of position r/R_eq (where R_eq is the equatorial radius of the stellar model) for semi-analytical and numerical modes. Modes displayed are for Ω/Ω_K = 0.300 (left column), and Ω/Ω_K = 0.707 (right column). Quantum numbers (n,ℓ,m) are as follows. Left column (50,0,0), (50,1,0), (50,0,1), (50,1,1). Right column (50,0,0), (50,1,0), (50,2,0), (50,3,0). Blue/black continuous line: numerical results; orange/gray dashed line: semi-analytical results. (This figure is available in color in the electronic form.)