Low Degree Fields Unramified Outside of {∞, 11, 79}

Discriminant class: −79

∞ 11 79 a_{1} a_{2} a_{3} Over p = 11  Over p = 79  2 3 5 7 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} 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: −11

∞ 11 79 a_{1} a_{2} a_{3}  Over p = 11  Over p = 79 2 3 5 7 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} 1_{i} 0_{+} -1 3  1^{2} 1_{i} 11∗ 11∗ 2 0_{+} ∗ ∗ 2  2 2 2 2
C_{2}  2  2 2

Discriminant class: 1

∞ 11 79 a_{1} a_{2} a_{3} Over p = 11 Over p = 79 2 3 5 7 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: 869

∞ 11 79 a_{1} a_{2} a_{3}  Over p = 11  Over p = 79 2 3 5 7 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_{i} 1_{k} 0 -869  1^{2} 1_{i} 11∗ 11∗ 1^{2} 1_{k} 79 79 2 2  2  2
C_{2}  2  2 2 2