Low Degree Fields Ramifying Above {71, 89}

Discriminant class: −6319

∞ 71 89 a_{1} a_{2} a_{3}  Over p = 71  Over p = 89 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d  s f^{e} c_{w} d s 23 29 31 37 41 43 47 53
1. 1_{k} 1_{i} 1_{+} 0 6319  1^{2} 1_{i} 71∗ 71∗ 1^{2} 1_{+} 89 89  2  2  2 2
C_{2} 52  2  2  2 2 2