Validity evaluation of approximating (k, m)=(0, 1) Hough functions Θ_km(θ, s) with a Legendre polynomial , as a function of the spin parameter. Top: Lomb-Scargle periodogram of HD 112429, with the observed (k, m)=(0, 1) pulsations (red), as a function of the spin parameter. A comparison with the bottom two panels reveals the relative influence of the Coriolis force on each observed pulsation mode. Middle: relative contribution of the function when the Hough function is expressed as a sum of Legendre polynomials . Bottom: the relative residual sum of squares, after fitting the Legendre polynomial to the Hough function Θ_km.