Low Degree Fields Ramifying Above {5, 73}

Discriminant class: 73

∞ 5 73 a_{1} a_{2} a_{3} Over p = 5  Over p = 73 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 43 47 53 59
1. 0_{+} 2_{+} 1_{+} -1 -8 7 1^{3} 2_{+} ∗  1^{2} 1_{+} 73 73 3 3 2 2 2 2 3
S_{3} 2 2 3 2 2 2 2

Discriminant class: 365

∞ 5 73 a_{1} a_{2} a_{3}  Over p = 5  Over p = 73  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 43 47 53 59
2. 0_{+} 1_{−} 1_{−} 0 -365  1^{2} 1_{−} 5∗ 5∗ 1^{2} 1_{−} 73∗ 73∗ 2 2  2  2
C_{2} 2  2 2 2  2