Low Degree Fields Ramifying Above {23, 97}

Discriminant class: −2231

∞ 23 97 a_{1} a_{2} a_{3}  Over p = 23  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 29 31 37 41 43 47 53 59
1. 1_{k} 1_{k} 1_{−} 0 2231  1^{2} 1_{k} 23 23 1^{2} 1_{−} 97∗ 97∗  2 2
C_{2} 58  2  2 2  2 2

Discriminant class: 97

∞ 23 97 a_{1} a_{2} a_{3} Over p = 23  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 29 31 37 41 43 47 53 59
2. 0_{+} 2_{+} 1_{+} -1 -38 40 1^{3} 2_{+} ∗  1^{2} 1_{+} 97 97  3 2 2 3 2 2 2
S_{3}  2 3 2 2  3 3 2