Low Degree Fields Ramifying Above {17, 59}

Discriminant class: −1003

∞ 17 59 a_{1} a_{2} a_{3}  Over p = 17  Over p = 59  2 3 5 7 11 13 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 29 31 37 41 43 47 53 61
1. 1_{k} 1_{+} 1_{i} 0 1003  1^{2} 1_{+} 17 17 1^{2} 1_{i} 59∗ 59∗ 2 2 2 2  2
C_{2} 4  2  2 2 2