PDF of ν_g1 = cos α_g1, the cosine ofthe angle between the minor axis of the central galaxy and the direction of the nearest filament (brown lines) and ν_g = cos α_g, the angle between the spin of the central galaxy and the direction of the nearest filament (blue lines). Distributions are plotted for central galaxies in two different mass ranges: 10⁹ < M_g < 10¹⁰ M_⊙ (solid lines) and M_g > 10¹⁰ M_⊙ (blue lines). The transition for the galactic plane orientation is recovered, but the signal is stronger using the spin for low-mass centrals. The opposite is true for high mass centrals: the minor axis estimator yields an increased amplitude in the excess probability ξ.