Low Degree Fields Ramifying Above {13, 83}

Discriminant class: −1079

∞ 13 83 a_{1} a_{2} a_{3}  Over p = 13  Over p = 83 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 47 53 59
1. 1_{k} 1_{−} 1_{k} 0 1079  1^{2} 1_{−} 13∗ 13∗ 1^{2} 1_{k} 83 83  2 2
C_{2} 34  2 2 2 2  2 2