Quintic Fields Ramifying Above {13, 17}

Discriminant class: 221

∞ 13 17 a_{1} a_{2} a_{3}  Over p = 13  Over p = 17 2 3 5 7 11 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_{−} 3_{−} 3_{+} -2 11 -10 1^{4} 3_{−} 13 13 1^{4} 3_{+} 17 17 4 4 5  5 4 4 4
F_{5}  23 -21  5 22 22 5 4 22 4 4