Quintic Fields Ramifying Above {7, 19}

Discriminant class: 1

∞ 7 19 a_{1} a_{2} a_{3}  Over p = 7  Over p = 19 2 3 5 11 13 17 23 29
G h  a_{4} a_{5}  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
1. 2_{−} 2_{−} 4_{+} 0 0 -19 1^{2} 1_{i} 7∗ 7∗ 1^{5} 4_{+} 1  5 22 22 5 22 22 5 5
D_{5}  38 -95  1^{2} 1_{i} 7∗ 7∗  22  22 5 22 5 22 22