Some of the Euclidean Belyi maps have incorrect base fields. These maps could are defined over QQ, as is clear from the defining equations, but their given base fields are number fields of degree > 1. (All the sixth cyclotomic field, I think.) Some examples:
SamSchiavone
commented
5 years ago
Some of the Euclidean Belyi maps have incorrect base fields. These maps could are defined over QQ, as is clear from the defining equations, but their given base fields are number fields of degree > 1. (All the sixth cyclotomic field, I think.) Some examples:
http://beta.lmfdb.org/Belyi/3T1/%5B3%2C3%2C3%5D/3/3/3/g1/a http://beta.lmfdb.org/Belyi/8T13/%5B6%2C3%2C2%5D/62/3311/2222/g0/a http://beta.lmfdb.org/Belyi/9T11/%5B6%2C3%2C2%5D/621/333/22221/g0/a