Low Degree Fields Unramified Outside of {∞, 11, 73}

Discriminant class: −803

∞ 11 73 a_{1} a_{2} a_{3}  Over p = 11  Over p = 73  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_{k} 1_{−} 0 803  1^{2} 1_{k} 11 11 1^{2} 1_{−} 73∗ 73∗ 2  2  2
C_{2} 10  2  2  2 2 2

Discriminant class: −11

∞ 11 73 a_{1} a_{2} a_{3}  Over p = 11  Over p = 73 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 73 a_{1} a_{2} a_{3} Over p = 11 Over p = 73 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 -24 27 3 0_{+} 1  1^{3} 2_{+} 1  3  3  3  3 3
C_{3}  3 3 3 3  3 3 3

Discriminant class: 73

∞ 11 73 a_{1} a_{2} a_{3} Over p = 11  Over p = 73 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_{+} 0_{+} 1_{+} 0 -73  2 0_{+} ∗ ∗ 1^{2} 1_{+} 73 73  2 2 2 2
C_{2}  2 2  2 2 2 2