\\ Full list of genus representatives downloaded from the LMFDB on 06 June 2024. 

data = [\
Mat([[2, 1, 1], [1, 2, 1], [1, 1, 128]]~),\
Mat([[2, 1, 0], [1, 14, -5], [0, -5, 16]]~),\
Mat([[2, 0, 0], [0, 12, 1], [0, 1, 16]]~),\
Mat([[2, 0, 1], [0, 10, -2], [1, -2, 20]]~),\
Mat([[2, 0, 0], [0, 12, 5], [0, 5, 18]]~),\
Mat([[2, 0, 0], [0, 8, 1], [0, 1, 24]]~),\
Mat([[2, 0, 0], [0, 10, 3], [0, 3, 20]]~),\
Mat([[2, 1, 1], [1, 8, 1], [1, 1, 26]]~),\
Mat([[2, 0, -1], [0, 2, 0], [-1, 0, 96]]~),\
Mat([[6, -3, 1], [-3, 8, -1], [1, -1, 10]]~),\
Mat([[4, 1, -2], [1, 6, 1], [-2, 1, 18]]~),\
Mat([[2, 0, 0], [0, 4, 1], [0, 1, 48]]~),\
Mat([[2, 1, 0], [1, 8, 2], [0, 2, 26]]~),\
Mat([[2, 1, 0], [1, 12, -4], [0, -4, 18]]~),\
Mat([[2, 0, 0], [0, 6, -1], [0, -1, 32]]~)]