  The interplay between magnetism and topological band structure offers
extraordinary opportunities to realize rich exotic magnetic topological phases
such as axion insulators, Weyl semimetals, and quantum anomalous Hall
insulators, which therefore has attracted fast growing research interest. The
rare-earth hexaborides EuB6 represents an interesting magnetic topological
phase with tunable magnetizations along different crystallographic directions,
while the correlation with the topological properties remains scarcely
explored. In this work, combining magnetotransport measurements and first
principles calculations, we demonstrate that EuB6 exhibits versatile magnetic
topological phases along different crystallographic directions, which tightly
correlate with the varied magnetizations. Moreover, by virtue of the weak
magneto-crystalline anisotropy and the relatively strong coupling between the
local magnetization and the conduction electrons, we show that the magnetic
ground state of the system can be directly probed by the anisotropy in the
magnetotransport properties. Our work thus introduces an excellent platform to
study the rich topological phases that are tunable by magnetic orders.
