Low Degree Fields Ramifying Above {7, 71}

Discriminant class: 497

∞ 7 71 a_{1} a_{2} a_{3} Over p = 7  Over p = 71  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 53 59
1. 0_{+} 1_{k} 1_{i} 0 -497  1^{2} 1_{k} 7 7 1^{2} 1_{i} 71∗ 71∗  2 2 2  2 2
C_{2}  2