Low Degree Fields Unramified Outside of {∞, 29, 53}

Discriminant class: 29

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

Discriminant class: 53

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

Discriminant class: 1537

∞ 29 53 a_{1} a_{2} a_{3} Over p = 29 Over p = 53 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 31 37 41 43 47 59 61
3. 0_{+} 1_{+} 1_{+} 0 -1537  1^{2} 1_{+} 29 29 1^{2} 1_{+} 53 53  2  2  2
C_{2} 2  2  2  2 2