Low Degree Fields Unramified Outside of {∞, 53, 97}

Discriminant class: 1

∞ 53 97 a_{1} a_{2} a_{3} Over p = 53 Over p = 97 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 29 31 37 41 43 47 59
1. 0_{+} 0_{+} 2_{+} -1 -32 79 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: 53

∞ 53 97 a_{1} a_{2} a_{3} Over p = 53 Over p = 97 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 29 31 37 41 43 47 59
2. 0_{+} 1_{+} 0_{+} 0 -53  1^{2} 1_{+} 53 53  2 2 2  2
C_{2}  2  2  2

Discriminant class: 97

∞ 53 97 a_{1} a_{2} a_{3} Over p = 53  Over p = 97 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 29 31 37 41 43 47 59
3. 0_{+} 0_{+} 1_{+} 0 -97  1^{2} 1_{+} 97 97  2 2  2 2 2
C_{2}  2 2  2 2  2

Discriminant class: 5141

∞ 53 97 a_{1} a_{2} a_{3} Over p = 53 Over p = 97 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d s 23 29 31 37 41 43 47 59
4. 0_{+} 1_{+} 1_{+} 0 -5141  1^{2} 1_{+} 53 53 1^{2} 1_{+} 97 97 2 2  2  2 2
C_{2} 2  2 2 2  2