Low Degree Fields Unramified Outside of {∞, 29, 67}

Discriminant class: −1943

∞ 29 67 a_{1} a_{2} a_{3}  Over p = 29  Over p = 67  2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 23 31 37 41 43 47 53 59
1. 1_{k} 1_{+} 1_{i} 0 1943  1^{2} 1_{+} 29 29 1^{2} 1_{i} 67∗ 67∗  2 2  2 2 2
C_{2} 32  2  2 2

Discriminant class: −67

∞ 29 67 a_{1} a_{2} a_{3} Over p = 29  Over p = 67  2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 23 31 37 41 43 47 53 59
2. 1_{k} 0_{+} 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

∞ 29 67 a_{1} a_{2} a_{3} Over p = 29 Over p = 67 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 31 37 41 43 47 53 59
3. 0_{+} 0_{+} 2_{+} -1 -22 -5 3 0_{+} 1  1^{3} 2_{+} 1  3  3 3 3 3 3
C_{3}  3 3 3 3  3

Discriminant class: 29

∞ 29 67 a_{1} a_{2} a_{3} Over p = 29 Over p = 67 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 31 37 41 43 47 53 59
4. 0_{+} 1_{+} 0_{+} 0 -29 1^{2} 1_{+} 29 29 2 2 2 2 2
C_{2}  2 2 2 2 2