Low Degree Fields Unramified Outside of {∞, 61, 97}

Discriminant class: 1

∞ 61 97 a_{1} a_{2} a_{3} Over p = 61 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 53
1. 0_{+} 2_{+} 0_{+} -1 -20  9 1^{3} 2_{+} 1  3 0_{+} 1  3  3 3  3 3 3
C_{3}  3 3  3 3
2. 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
3. 0_{+} 2_{+} 2_{+} 1 -1972 -7451 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3 3 3 3 3 3
C_{3} 3  3  3 3 3 3 3
4. 0_{+} 2_{+} 2_{+} -1 -1972 -10300 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3  3  3
C_{3} 3  3 3 3 3 3  3 3

Discriminant class: 61

∞ 61 97 a_{1} a_{2} a_{3} Over p = 61 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 53
5. 0_{+} 1_{+} 0_{+} 0 -61  1^{2} 1_{+} 61 61  2  2 2  2
C_{2}  2 2 2 2  2  2

Discriminant class: 97

∞ 61 97 a_{1} a_{2} a_{3} Over p = 61  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 53
6. 0_{+} 0_{+} 1_{+} 0 -97  1^{2} 1_{+} 97 97  2 2  2 2 2
C_{2}  2 2  2 2

Discriminant class: 5917

∞ 61 97 a_{1} a_{2} a_{3} Over p = 61 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 53
7. 0_{+} 1_{+} 1_{+} 0 -5917  1^{2} 1_{+} 61 61 1^{2} 1_{+} 97 97 2  2  2 2  2
C_{2} 2  2  2 2  2