Low Degree Fields Ramifying Above {163}

Discriminant class: −163

∞ 163 a_{1} a_{2} a_{3}  Over p = 163  2 3 5 7 11 13 17 19
G  h  f^{e} c_{w} d  s 23 29 31 37 41 43 47 53
1. 1_{k} 1_{i} 0 163  1^{2} 1_{i} 163∗ 163∗ 2 2 2 2 2 2 2 2
C_{2}  2 2 2 2

Discriminant class: 1

∞ 163 a_{1} a_{2} a_{3} Over p = 163 2 3 5 7 11 13 17 19
G  h  f^{e} c_{w} d s 23 29 31 37 41 43 47 53
2. 0_{+} 2_{+} -1 -54 169 1^{3} 2_{+} 1  3 3  3 3  3
C_{3} 4  3  3 3 3