Low Degree Fields Ramifying Above {5, 11, 19}

Discriminant class: 1045

∞ 5 11 19 a_{1}  a_{2} a_{3} Over p = 5  Over p = 11  Over p = 19 2 3 7 13 17 23 29 31
G h  f^{e} c_{w} d s f^{e} c_{w} d  s f^{e} c_{w} d s 37 41 43 47 53 59 61 67
1. 0_{+} 1_{+} 1_{i} 1_{k} 0 -1045  1^{2} 1_{+} 5 5 1^{2} 1_{i} 11∗ 11∗ 1^{2} 1_{k} 19 19 2  2  2  2
C_{2} 4  2  2 2