\\ Full list of genus representatives downloaded from the LMFDB on 16 April 2024. 

data = [\
Mat([[2, 0, 0], [0, 18, 5], [0, 5, 20]]~),\
Mat([[2, 0, -1], [0, 2, 0], [-1, 0, 168]]~),\
Mat([[2, 0, 0], [0, 8, -1], [0, -1, 42]]~),\
Mat([[4, -1, 0], [-1, 14, 5], [0, 5, 14]]~),\
Mat([[2, 0, 1], [0, 18, -4], [1, -4, 20]]~),\
Mat([[2, 0, 0], [0, 12, 1], [0, 1, 28]]~),\
Mat([[6, 3, 2], [3, 8, 2], [2, 2, 18]]~),\
Mat([[8, -2, 3], [-2, 10, 0], [3, 0, 10]]~),\
Mat([[2, -1, -1], [-1, 10, -1], [-1, -1, 36]]~),\
Mat([[2, 1, 1], [1, 18, 3], [1, 3, 20]]~),\
Mat([[6, -1, 1], [-1, 10, 2], [1, 2, 12]]~),\
Mat([[2, 0, 0], [0, 12, 5], [0, 5, 30]]~),\
Mat([[2, -1, -1], [-1, 8, 3], [-1, 3, 46]]~)]