Low Degree Fields Unramified Outside of {∞, 13}

Discriminant class: 1

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

Discriminant class: 13

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