Low Degree Fields Unramified Outside of {∞, 17, 53}

Discriminant class: 17

∞ 17 53 a_{1} a_{2} a_{3} Over p = 17 Over p = 53 2 3 5 7 11 13 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d s 29 31 37 41 43 47 59 61
1. 0_{+} 1_{+} 0_{+} 1 -4  1^{2} 1_{+} 17 17  2 2 2 2  2
C_{2}  2 2 2 2  2

Discriminant class: 53

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

Discriminant class: 901

∞ 17 53 a_{1} a_{2} a_{3} Over p = 17 Over p = 53 2 3 5 7 11 13 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d s 29 31 37 41 43 47 59 61
3. 0_{+} 1_{+} 1_{+} 0 -901  1^{2} 1_{+} 17 17 1^{2} 1_{+} 53 53 2  2 2  2
C_{2} 4  2  2