Low Degree Fields Ramifying Above {11, 53}

Discriminant class: −583

∞ 11 53 a_{1} a_{2} a_{3}  Over p = 11  Over p = 53 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 43 47 59 61
1. 1_{k} 1_{i} 1_{+} 0 583  1^{2} 1_{i} 11∗ 11∗ 1^{2} 1_{+} 53 53  2 2 2 2 2  2
C_{2} 8  2 2  2