Low Degree Fields Ramifying Above {43, 53}

Discriminant class: −2279

∞ 43 53 a_{1} a_{2} a_{3}  Over p = 43  Over p = 53 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 47 59 61
1. 1_{k} 1_{i} 1_{+} 0 2279  1^{2} 1_{i} 43∗ 43∗ 1^{2} 1_{+} 53 53  2
C_{2} 56  2 2 2 2 2

Discriminant class: 53

∞ 43 53 a_{1} a_{2} a_{3} Over p = 43  Over p = 53 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 47 59 61
2. 0_{+} 2_{+} 1_{+} 0 -86 -301 1^{3} 2_{+} 1  1^{2} 1_{+} 53 53 2 2 2  3 3 3 2
S_{3} 6  2 3 2 3 2 3  2