\\ Full list of genus representatives downloaded from the LMFDB on 30 April 2024. 

data = [\
Mat([[4, 0, 0], [0, 8, 1], [0, 1, 24]]~),\
Mat([[4, 0, -2], [0, 8, 3], [-2, 3, 26]]~),\
Mat([[4, 0, 0], [0, 10, 3], [0, 3, 20]]~),\
Mat([[4, 0, 0], [0, 12, -1], [0, -1, 16]]~),\
Mat([[4, -2, 1], [-2, 4, -1], [1, -1, 64]]~),\
Mat([[4, 2, -2], [2, 6, -3], [-2, -3, 40]]~),\
Mat([[4, -1, 0], [-1, 10, 2], [0, 2, 20]]~),\
Mat([[4, 0, 1], [0, 4, 0], [1, 0, 48]]~),\
Mat([[4, 0, 0], [0, 12, 5], [0, 5, 18]]~),\
Mat([[8, 1, -2], [1, 10, 4], [-2, 4, 12]]~),\
Mat([[4, 1, 1], [1, 10, -1], [1, -1, 20]]~),\
Mat([[4, -2, 0], [-2, 16, 7], [0, 7, 16]]~),\
Mat([[4, 1, 1], [1, 4, 2], [1, 2, 52]]~),\
Mat([[4, 0, 0], [0, 6, -1], [0, -1, 32]]~),\
Mat([[4, 1, 1], [1, 6, 2], [1, 2, 34]]~),\
Mat([[2, 0, -1], [0, 4, 0], [-1, 0, 96]]~),\
Mat([[4, 2, -2], [2, 10, -5], [-2, -5, 24]]~),\
Mat([[4, -2, -2], [-2, 14, -1], [-2, -1, 16]]~),\
Mat([[2, -1, 0], [-1, 12, -3], [0, -3, 34]]~),\
Mat([[2, 0, -1], [0, 2, 1], [-1, 1, 192]]~)]