Low Degree Fields Ramifying Above {59, 97}

Discriminant class: −5723

∞ 59 97 a_{1} a_{2} a_{3}  Over p = 59  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. 1_{k} 1_{k} 1_{−} 0 5723  1^{2} 1_{k} 59 59 1^{2} 1_{−} 97∗ 97∗ 2  2 2 2  2 2
C_{2} 14  2 2  2 2 2

Discriminant class: 97

∞ 59 97 a_{1} a_{2} a_{3} Over p = 59  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
2. 0_{+} 2_{+} 1_{+} 1 -98 -201 1^{3} 2_{+} ∗ 1^{2} 1_{+} 97 97 3 2 2 2 2 2
S_{3} 2  2 2 3 2 2 3 3 3