3 problems

Gauge-invariance conjecture. The contour integral is the generating function for the eigenvalues $\mathcal{I}^{(2p-1)}_{\ell,\{t_i\}}$, and these eigenvalues are unchanged under th…

Simple-representative conjecture. The simple representative $\Pi^{\mathrm{simp}}(z,\Lambda)$ is a generating function for the eigenvalues $\mathcal{I}^{(2p-1)}_{\ell,\{t_i\}}$.

ODE/IQFT integral formula conjecture. For $k\notin\{-2,-4,-6,\ldots\}$, the eigenvalue $\mathcal{I}^{(2p-1)}_{\ell,\{t_i\}}$ is given by the stated contour integral involving the W…