Low Degree Fields Unramified Outside of {∞, 5, 79}

Discriminant class: −395

∞ 5 79 a_{1} a_{2} a_{3} Over p = 5  Over p = 79  2 3 7 11 13 17 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 29 31 37 41 43 47 53 59
1. 1_{k} 1_{+} 1_{i} 0 395  1^{2} 1_{+} 5 5 1^{2} 1_{i} 79∗ 79∗ 2  2  2
C_{2} 8  2  2  2

Discriminant class: −79

∞ 5 79 a_{1} a_{2} a_{3} Over p = 5  Over p = 79  2 3 7 11 13 17 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 29 31 37 41 43 47 53 59
2. 1_{k} 0_{+} 1_{i} 0 79  1^{2} 1_{i} 79∗ 79∗  2 2  2
C_{2} 5  2  2 2 2 2 2 2

Discriminant class: 1

∞ 5 79 a_{1} a_{2} a_{3} Over p = 5  Over p = 79 2 3 7 11 13 17 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d s 29 31 37 41 43 47 53 59
3. 0_{+} 0_{+} 2_{+} 1 -26 41 3 0_{+} 1  1^{3} 2_{+} 1  3 3 3 3 3  3 3
C_{3}  3 3 3  3 3 3 3

Discriminant class: 5

∞ 5 79 a_{1} a_{2} a_{3} Over p = 5  Over p = 79 2 3 7 11 13 17 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d s 29 31 37 41 43 47 53 59
4. 0_{+} 1_{+} 0_{+} 1 -1  1^{2} 1_{+} 5 5  2 2 2  2 2  2
C_{2}  2  2 2 2