Low Degree Fields Unramified Outside of {∞, 11, 89}

Discriminant class: −979

∞ 11 89 a_{1} a_{2} a_{3}  Over p = 11  Over p = 89 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} 1_{i} 1_{+} 0 979  1^{2} 1_{i} 11∗ 11∗ 1^{2} 1_{+} 89 89 2 2  2  2
C_{2} 8  2 2  2

Discriminant class: −11

∞ 11 89 a_{1} a_{2} a_{3}  Over p = 11  Over p = 89 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  2 2 2 2
C_{2}  2  2 2

Discriminant class: 89

∞ 11 89 a_{1} a_{2} a_{3} Over p = 11  Over p = 89 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_{+} 1_{+} 0 -89  1^{2} 1_{+} 89 89  2  2 2  2 2
C_{2}  2 2 2 2 2  2