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Fig. A.1

image

Top: eigenvalues () of the gravity and Rossby modes of lowest degrees (− 6 ≤ n ≤ 5) as functions of the spin parameter (ν). The horizontal axis represents the function of ν given by , and the vertical axis the function of given by . Bottom: projection coefficients of the normalized Legendre polynomial on normalized Hough functions associated with these modes as functions of the spin parameter (see Eq. (70)).

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