Low Degree Fields Unramified Outside of {∞, 23}

Discriminant class: −23

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