\\ Full list of genus representatives downloaded from the LMFDB on 19 April 2024. 

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Mat([[1, 0, 0, 0, 0, 0], [0, 2, 0, 0, 1, -1], [0, 0, 2, 0, -1, 1], [0, 0, 0, 2, 1, -1], [0, 1, -1, 1, 3, -2], [0, -1, 1, -1, -2, 3]]~)]