Low Degree Fields Unramified Outside of {∞, 2}

Discriminant class: −2

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

Discriminant class: −1

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

Discriminant class: 2

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