Low Degree Fields Unramified Outside of {∞, 139}

Discriminant class: −139

∞ 139 a_{1} a_{2} a_{3}  Over p = 139  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} 0 139  1^{2} 1_{i} 139∗ 139∗ 2 2  2 2
C_{2} 3  2  2  2
2. 1_{k} 1_{i} -1 1 2 1^{2} 1_{i} 139∗ 139∗ 2 2 3 3 3 3 2 2
S_{3} 2 3 3 2 2

Discriminant class: 1

∞ 139 a_{1} a_{2} a_{3} Over p = 139 2 3 5 7 11 13 17 19
G h f^{e} c_{w} d s 23 29 31 37 41 43 47 53
3. 0_{+} 2_{+} -1 -46 -103 1^{3} 2_{+} 1  3 3 3 3 3 3 3 3
C_{3}  3 3 3 3 3 3 3