  The discoveries of intrinsically magnetic topological materials, including
semimetals with a large anomalous Hall effect and axion insulators, have
directed fundamental research in solid-state materials. Topological quantum
chemistry has enabled the understanding of and the search for paramagnetic
topological materials. Using magnetic topological indices obtained from
magnetic topological quantum chemistry (MTQC), here we perform a
high-throughput search for magnetic topological materials based on
first-principles calculations. We use as our starting point the Magnetic
Materials Database on the Bilbao Crystallographic Server, which contains more
than 549 magnetic compounds with magnetic structures deduced from
neutron-scattering experiments, and identify 130 enforced semimetals (for which
the band crossings are implied by symmetry eigenvalues), and topological
insulators. For each compound, we perform complete electronic structure
calculations, which include complete topological phase diagrams using different
values of the Hubbard potential. Using a custom code to find the magnetic
co-representations of all bands in all magnetic space groups, we generate data
to be fed into the algorithm of MTQC to determine the topology of each magnetic
material. Several of these materials display previously unknown topological
phases, including symmetry-indicated magnetic semimetals, three-dimensional
anomalous Hall insulators and higher-order magnetic semimetals. We analyse
topological trends in the materials under varying interactions: 60 per cent of
the 130 topological materials have topologies sensitive to interactions, and
the others have stable topologies under varying interactions. We provide a
materials database for future experimental studies and open-source code for
diagnosing topologies of magnetic materials.
