Extending earlier ideas, in the framework of (0,2) gauged linear sigma models, I will present the proposal of a systematic procedure to generate dual models in non-geometric phases. I will explain how we calculated the massless chiral spectra and the dimensions of the moduli spaces for such pairs, moving to their respective geometric phases and how we found total agreement in thousands of cases. Our study includes Calabi-Yau geometries given by complete intersections of hyper surfaces in toric varieties equipped with SU(n) vector bundles defined via the monad construction. I will present the study of a whole landscape of about 50 thousand such (0,2) models which became feasible due to the efficient implementation cohomCalg for the computation of bundle valued cohomology classes over toric varieties.