Low Degree Fields Unramified Outside of {∞, 67}

Discriminant class: −67

∞ 67 a_{1} a_{2} a_{3}  Over p = 67  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 67  1^{2} 1_{i} 67∗ 67∗ 2 2 2 2 2 2
C_{2} 2 2 2 2

Discriminant class: 1

∞ 67 a_{1} a_{2} a_{3} Over p = 67 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s 23 29 31 37 41 43 47 53
2. 0_{+} 2_{+} -1 -22 -5 1^{3} 2_{+} 1  3  3 3 3 3 3
C_{3}  3 3 3 3 3  3