Low Degree Fields Ramifying Above {71, 97}

Discriminant class: −6887

∞ 71 97 a_{1} a_{2} a_{3}  Over p = 71  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 6887  1^{2} 1_{k} 71 71 1^{2} 1_{−} 97∗ 97∗  2  2  2
C_{2} 78  2 2 2  2 2
2. 1_{k} 1_{k} 1_{−} -1  4 -17 1^{2} 1_{k} 71 71 1^{2} 1_{−} 97∗ 97∗ 3 3 2 3 2  2
S_{3}  2 2 2 3 3 2 2