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We propose an efficient method to numerically evaluate $\mathbb{Z}_4$-indicesof M\"obius/hourglass topological phases with glide symmetry. Our methoddirectly provides $\mathbb{Z}_4$-indices in the lattice Brillouin zone whilethe existing method requires careful observations of momentum dependent Wanniercharge centers. As applications, we perform systematic computation of$\mathbb{Z}_4$-indices for M\"obius materials, $\mathrm{CeNiSn}$ and$\mathrm{UCoGe}$. In particular, our analysis elucidates that $\mathrm{UCoGe}$shows strong M\"obius superconductivity for the $A_u$- or$B_{3u}$-representation whose topology has not been fully characterized.Furthermore, obtained phase diagrams reveal novel topological gaplessexcitations in the bulk which are protected by nonsymmorphic glide symmetry. Weobserve these gapless excitations with glide symmetry by doping holes into thesuperconducting phase of the $B_{1u}$- or $B_{3u}$-representation.

physical review. b./physical review. b

Efficient method to compute $\mathbb{Z}_4$-indices with glide symmetry  and applications to M\"obius materials, $\mathrm{CeNiSn}$ and  $\mathrm{UCoGe}$