  While the symmetry-based diagnosis of topological insulators and semimetals
has enabled large-scale discovery of topological materials candidates, the
extension of these approaches to the diagnosis of topological superconductors
remains a major open question. One important new ingredient in the analysis of
topological superconductivity is the presence of $\mathbb Z_2$-valued Pfaffian
invariants associated with certain high-symmetry momenta. Such topological
invariants lie beyond the conventional scope of symmetry representation theory
for band structures, and as such they are nontrivial to incorporate into the
systematic calculations of the symmetry indicators of band topology. Here, we
overcome this challenge and report the full computation of the $\mathbb
Z_2$-enriched symmetry indicators for superconductors in all symmetry settings.
Our results indicate that incorporating the $\mathbb Z_2$ band labels enhance
the diagnostic power of the scheme in roughly $60\%$ of the symmetry settings.
Our framework can also be readily integrated with first-principles calculations
to elucidate on the possible properties of unconventional superconductivity in
a given compound. As a demonstration, we analyze explicitly the interplay
between pairing symmetry and topological superconductivity in the recently
discovered superconductors CaPtAs and CaSb$_2$.
