Low Degree Fields Ramifying Above {67, 97}

Discriminant class: −6499

∞ 67 97 a_{1} a_{2} a_{3}  Over p = 67  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 6499  1^{2} 1_{k} 67 67 1^{2} 1_{−} 97∗ 97∗ 2 2  2  2 2
C_{2} 14  2 2 2 2  2  2

Discriminant class: 1

∞ 67 97 a_{1} a_{2} a_{3} Over p = 67 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_{+} 2_{+} -1 -2166 2407 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3  3 3  3
C_{3} 3  3  3 3 3
3. 0_{+} 2_{+} 2_{+} 1 -2166 -21904 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3  3 3
C_{3} 3  3 3 3  3 3 3 3