Low Degree Fields Ramifying Above {7, 53}

Discriminant class: −371

∞ 7 53 a_{1} a_{2} a_{3} Over p = 7 Over p = 53 2 3 5 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 59 61
1. 1_{k} 1_{i} 1_{+} 0 371 1^{2} 1_{i} 7∗ 7∗ 1^{2} 1_{+} 53 53 2 2 2 2
C_{2} 8  2 2

Discriminant class: 53

∞ 7 53 a_{1} a_{2} a_{3} Over p = 7  Over p = 53 2 3 5 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 59 61
2. 0_{+} 2_{+} 1_{+} -1 -9 8 1^{3} 2_{+} 1  1^{2} 1_{+} 53 53 2 2 2 3 3 3 2 2
S_{3} 3  3 2 3 2 3 3 3 2