Low Degree Fields Unramified Outside of {∞, 59}

Discriminant class: −59

∞ 59 a_{1} a_{2} a_{3}  Over p = 59  2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d  s 23 29 31 37 41 43 47 53
1. 1_{k} 1_{i} 0 59  1^{2} 1_{i} 59∗ 59∗ 2  2 2
C_{2} 3  2  2 2  2 2
2. 1_{k} 1_{i} 0 2 -1 1^{2} 1_{i} 59∗ 59∗ 2 3 3 3 2 2  3
S_{3}  2 3 2 2 3 2 2 3