Low Degree Fields Ramifying Above {13, 47}

Discriminant class: −611

∞ 13 47 a_{1} a_{2} a_{3}  Over p = 13  Over p = 47 2 3 5 7 11 17 19 23
G h  f^{e} c_{w} d  s f^{e} c_{w} d s 29 31 37 41 43 53 59 61
1. 1_{k} 1_{−} 1_{k} 0 611  1^{2} 1_{−} 13∗ 13∗ 1^{2} 1_{k} 47 47 2  2  2
C_{2} 10  2  2  2  2