The Bernstein–Sato formula for the singularity level of local complete intersections

Let $Z$ be a reduced local complete intersection of codimension $r$. Let $p(Z)$ denote its singularity level, and let $\widetilde{\alpha}(Z)$ be the negative of the largest root of the reduced Bernstein–Sato polynomial $\widetilde{b}_Z(s)=b_Z(s)/(s+r)$. Bernstein–Sato conjecture.

$$p(Z)=\max\{[\widetilde{\alpha}(Z)]-r,-1\}.$$

For hypersurfaces, the analogous formula is known in terms of the minimal exponent. The displayed formula is proposed as the corresponding description for reduced local complete intersections and remains open.