Low Degree Fields Ramifying Above {5, 43}

Discriminant class: −215

∞ 5 43 a_{1} a_{2} a_{3} Over p = 5 Over p = 43 2 3 7 11 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. 1_{k} 1_{−} 1_{k} 0 215  1^{2} 1_{−} 5∗ 5∗ 1^{2} 1_{k} 43 43  2 2 2 2
C_{2} 14  2  2 2  2

Discriminant class: −43

∞ 5 43 a_{1} a_{2} a_{3} Over p = 5  Over p = 43  2 3 7 11 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
2. 1_{k} 2_{+} 1_{i} -1 2 12 1^{3} 2_{+} ∗  1^{2} 1_{i} 43∗ 43∗ 2 2 2 3 3  2 3
S_{3}  2 3 2 3 3 3 3 2