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We classify all the modular data of integral modular fusion categories up torank 12. The types come from the Egyptians fractions with squared denominators,listed using SageMath. The fusion rings come from solving the dimension andassociativity equations, using Normaliz. The S-matrices come from making thecharacter table self-transpose. The T-matrices come from solving theAnderson-Moore-Vafa equations. Finally, we keep what satisfies the definitionof a modular data. We get that every perfect integral modular fusion categoryup to rank 12 is trivial. We also prove that every simple integral modularfusion category of rank 13 is pointed, up to 12 types (in progress). Finally,we prove that every odd-dimensional perfect modular fusion category up to rank25 is trivial, up to 21 types (of rank 25).

Classification of modular data of integral modular fusion categories up to rank 12