Low Degree Fields Unramified Outside of {∞, 61}

Discriminant class: 1

∞ 61 a_{1} a_{2} a_{3} Over p = 61 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. 0_{+} 2_{+} -1 -20 9 1^{3} 2_{+} 1  3  3 3  3 3 3
C_{3}  3 3  3 3

Discriminant class: 61

∞ 61 a_{1} a_{2} a_{3}  Over p = 61 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_{+} 1_{+} 0 -61  1^{2} 1_{+} 61 61 2  2 2  2
C_{2}  2 2 2 2  2  2