Low Degree Fields Unramified Outside of {∞, 43}

Discriminant class: −43

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

Discriminant class: 1

∞ 43 a_{1} a_{2} a_{3} Over p = 43 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s 23 29 31 37 41 47 53 59
2. 0_{+} 2_{+} -1 -14 -8 1^{3} 2_{+} 1  3 3 3  3 3 3
C_{3}  3 3 3 3  3