Low Degree Fields Ramifying Above {17, 43}

Discriminant class: −731

∞ 17 43 a_{1} a_{2} a_{3}  Over p = 17  Over p = 43  2 3 5 7 11 13 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 29 31 37 41 47 53 59 61
1. 1_{k} 1_{+} 1_{i} 0 731  1^{2} 1_{+} 17 17 1^{2} 1_{i} 43∗ 43∗ 2  2  2 2
C_{2} 12  2  2
2. 1_{k} 1_{+} 1_{i} -1 3 4 1^{2} 1_{+} 17 17 1^{2} 1_{i} 43∗ 43∗ 2 3 3  2 3 2 2
S_{3} 2  2 3 2 3 3 3 3