Low Degree Fields Ramifying Above {41, 43}

Discriminant class: −1763

∞ 41 43 a_{1} a_{2} a_{3}  Over p = 41  Over p = 43  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 47 53 59 61
1. 1_{k} 1_{+} 1_{i} 0 1763  1^{2} 1_{+} 41 41 1^{2} 1_{i} 43∗ 43∗ 2  2  2 2 2
C_{2} 12  2 2 2  2
2. 1_{k} 1_{+} 1_{i} 0 11 8 1^{2} 1_{+} 41 41 1^{2} 1_{i} 43∗ 43∗ 2 3 2 3 2 2 2
S_{3}  3  3 2 2 2 3 2