Low Degree Fields Ramifying Above {11, 43}

Discriminant class: 473

∞ 11 43 a_{1} a_{2} a_{3}  Over p = 11  Over p = 43 2 3 5 7 13 17 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. 0_{+} 1_{i} 1_{k} 0 -473  1^{2} 1_{i} 11∗ 11∗ 1^{2} 1_{k} 43 43  2 2  2 2
C_{2} 3  2 2
2. 0_{+} 1_{i} 1_{k} 0 -5 -1 1^{2} 1_{i} 11∗ 11∗ 1^{2} 1_{k} 43 43 3 2 2 3 2 2 3 3
S_{3}  3 3 2 2 3 3 3 3