Spectrum description via q-opers for slanted relaxed Verma modules at general slope

Determine how the spectrum of the Bethe algebra is described in terms of q-difference opers for evaluation slanted relaxed Verma modules of E⊥ obtained by twisting by slope m ∈ Z, for m other than 0 or 1.

Background

Section 4.2 introduces evaluation slanted relaxed Verma modules by applying a slope m automorphism that rescales generators before evaluation. For m = 0 and m = 1, the oper description is accessible, but the authors explicitly state the description is unknown otherwise.

This problem asks for an oper-theoretic characterization of spectra under these slope deformations, which would generalize the correspondence beyond the specific solvable cases.