Low Degree Fields Unramified Outside of {∞, 5, 19}

Discriminant class: −95

∞ 5 19 a_{1} a_{2} a_{3} Over p = 5  Over p = 19  2 3 7 11 13 17 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 31 37 41 43 47 53 59 61
1. 1_{k} 1_{+} 1_{i} 0 95  1^{2} 1_{+} 5 5 1^{2} 1_{i} 19∗ 19∗  2  2 2 2
C_{2} 8  2  2 2 2  2

Discriminant class: −19

∞ 5 19 a_{1} a_{2} a_{3} Over p = 5  Over p = 19  2 3 7 11 13 17 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 31 37 41 43 47 53 59 61
2. 1_{k} 0_{+} 1_{i} -1 5  1^{2} 1_{i} 19∗ 19∗ 2 2  2  2
C_{2}  2 2 2  2 2

Discriminant class: 1

∞ 5 19 a_{1} a_{2} a_{3} Over p = 5  Over p = 19 2 3 7 11 13 17 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
3. 0_{+} 0_{+} 2_{+} -1 -6 7 3 0_{+} 1 1^{3} 2_{+} 1 3 3 3 3 3 3
C_{3}  3 3 3 3 3 3

Discriminant class: 5

∞ 5 19 a_{1} a_{2} a_{3} Over p = 5  Over p = 19 2 3 7 11 13 17 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
4. 0_{+} 1_{+} 0_{+} 1 -1  1^{2} 1_{+} 5 5  2 2 2  2 2 2
C_{2}  2  2 2 2