Low Degree Fields Ramifying Above {31, 41}

Discriminant class: −1271

∞ 31 41 a_{1} a_{2} a_{3}  Over p = 31  Over p = 41 2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d  s f^{e} c_{w} d s 23 29 37 43 47 53 59 61
1. 1_{k} 1_{i} 1_{+} 0 1271  1^{2} 1_{i} 31∗ 31∗ 1^{2} 1_{+} 41 41  2  2
C_{2} 40  2  2 2 2  2