Classification of 2+1D GQLs by fusion, spin and modular-extension data

Let $(\widetilde N^{ab}_c,\widetilde s_a;N^{ij}_k,s_i;\mathcal N^{IJ}_K,\mathcal S_I;c)$ denote the specified fusion, spin, modular-extension and central-charge data, subject to the conditions described in the source. Data classification conjecture. Up to some equivalence relations, this data gives a one-to-one classification of $2+1$D GQLs with symmetry $G$ for bosons or $G^f$ for fermions, with the restriction that the symmetry group can be fully characterized by the fusion ring of its irreducible representations, and the data satisfies the stated conditions. The proposed description is intended to make tables of SET and SPT states calculable; the source gives no resolution.