Quintic Fields Unramified Outside of {∞, 7, 17}

Discriminant class: 1

∞ 7 17 a_{1} a_{2} a_{3} Over p = 7  Over p = 17  2 3 5 11 13 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_{−} 2_{−} 2_{+} -1 0 -1 1^{2} 1_{k} 7 7 1^{2} 1_{−} 17∗ 17∗ 5 5 5 22 22 22 22 22
D_{5}  3 -1  1^{2} 1_{k} 7 7 1^{2} 1_{−} 17∗ 17∗ 5 22 5 5 22 5 22 5