Low Degree Fields Ramifying Above {29, 97}

Discriminant class: 97

∞ 29 97 a_{1} a_{2} a_{3} Over p = 29  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 31 37 41 43 47 53 59
1. 0_{+} 2_{+} 1_{+} -1 -48 -101 1^{3} 2_{+} ∗ 1^{2} 1_{+} 97 97 3 3 2 2 2 2 2
S_{3}  2 3 2 2 3 3 3 2

Discriminant class: 2813

∞ 29 97 a_{1}  a_{2} a_{3}  Over p = 29  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 31 37 41 43 47 53 59
2. 0_{+} 1_{−} 1_{−} 0 -2813  1^{2} 1_{−} 29∗ 29∗ 1^{2} 1_{−} 97∗ 97∗ 2 2 2 2 2 2
C_{2} 2  2 2  2 2  2