Quintic Fields Unramified Outside of {∞, 11, 13}

Discriminant class: 1

∞ 11 13 a_{1} a_{2} a_{3}  Over p = 11  Over p = 13  2 3 5 7 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. 0_{+} 4_{+} 0_{+} -1 -4 3 1^{5} 4_{+} 1  5 0_{+} 1  5 5 5 5 5 5  5
C_{5}  3 -1  5 5 5  5 5 5 5
2. 2_{−} 2_{−} 2_{+} -1 -1 0 1^{2} 1_{k} 11 11 1^{2} 1_{−} 13∗ 13∗ 5 5 22 5 22 5 5 22
D_{5}  3 -1  1^{2} 1_{k} 11 11 1^{2} 1_{−} 13∗ 13∗ 22 22 5 22 22 5 22 22