  For local non-archimedean fields $k$, Piatetski-Shapiro has defined local
spinor $L$-factors for irreducible representations $\Pi$ of $\mathrm{GSp}(4,k)$
of dimension $>1$, attached to a choice of a Bessel model $\Lambda$. We
classify regular poles that do not come from the asymptotic of the Bessel
functions in the Bessel model. For anisotropic Bessel models there are no such
subregular poles.
