Quintic Fields Ramifying Above {7, 13}

Discriminant class: 13

∞ 7 13 a_{1} a_{2} a_{3} Over p = 7  Over p = 13 2 3 5 11 17 19 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_{−} 4_{+} 3_{−} 2 3 -10 1^{5} 4_{+} ∗  1^{4} 3_{−} 13 13 4 5 4 4 22 4 22 5
F_{5}  -23 -85  4 4 4 22 4 5 4 5