\\ Full list of genus representatives downloaded from the LMFDB on 04 May 2024. 

data = [\
Mat([[4, 0, 1], [0, 8, 4], [1, 4, 14]]~),\
Mat([[4, 0, 1], [0, 8, 0], [1, 0, 12]]~),\
Mat([[8, 4, 0], [4, 8, -1], [0, -1, 8]]~),\
Mat([[4, 0, 1], [0, 4, 1], [1, 1, 24]]~),\
Mat([[6, 0, -1], [0, 8, 0], [-1, 0, 8]]~),\
Mat([[2, 0, -1], [0, 8, 0], [-1, 0, 24]]~),\
Mat([[8, 4, 4], [4, 8, 3], [4, 3, 10]]~),\
Mat([[2, -1, 0], [-1, 4, -1], [0, -1, 54]]~),\
Mat([[6, 2, 1], [2, 6, 1], [1, 1, 12]]~),\
Mat([[4, -2, 1], [-2, 8, 1], [1, 1, 14]]~),\
Mat([[2, 0, -1], [0, 6, -1], [-1, -1, 32]]~)]