Quintic Fields Unramified Outside of {∞, 3, 11}

Discriminant class: 1

∞ 3 11 a_{1} a_{2} a_{3}  Over p = 3  Over p = 11 2 5 7 13 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_{+} 0_{+} 4_{+} -1 -4 3 5 0_{+} 1  1^{5} 4_{+} 1  5 5 5 5 5 5  5
C_{5}  3 -1  5 5 5  5 5 5 5
2. 2_{−} 6_{−} 4_{+} -1 7 3 1^{3} 5_{i} 3∗  1^{5} 4_{+} 1  5 3 22 5 5 3 5 3
A_{5} 5  -30 21  1^{2} 1_{i} 3∗ 3∗  3 5 3 5 5 5 5 22
3. 2_{−} 6_{−} 4_{+} -2 -5 13 1^{3} 5_{i} 3∗  1^{5} 4_{+} 1  3 5 3 5 22 3 5 22
A_{5} 5  4 -32  1^{2} 1_{i} 3∗ 3∗  5 5 5 22 3 3 5 22