As compared to the SEO of Langevin SDEs, the SEO of a general form SDE is pseudo-Hermitian. As a result, the eigenvalues of non-supersymmetric eigenstates are not restricted to be real positive, whereas the eigenvalues of supersymmetric eigenstates are still exactly zero. Just like for Langevin SDEs and nonlinear sigma model, the structure of the eigensystem of the SEO reestablishes the topological character of the Witten index: the contributions from the non-supersymmetric pairs of eigenstates vanish and only supersymmetric states contribute the Euler characteristic of (closed) X . Among other properties of the SEO spectra is that H ^ ^ ( dim ⁡ ⁡ X ) and H ^ ^ ( 0 ) never break TS, i.e., R e ( spec ⁡ ⁡ H ^ ^ ( dim ⁡ ⁡ X ) ) ≥ ≥ 0 . As a result, there are three major types of the SEO spectra presented in the figure on the right. The two types that have negative (real parts of) eigenvalues correspond to the spontaneously broken TS. All types of the SEO spectra are realizable as can be established, e.g., from the exact relation between the theory of kinematic dynamo and STS.