Quintic Fields Unramified Outside of {∞, 101}

Discriminant class: 1

∞ 101 a_{1} a_{2} a_{3} Over p = 101 2 3 5 7 11 13 17 19
G  h a_{4} a_{5}  f^{e} c_{w} d s 23 29 31 37 41 43 47 53
1. 0_{+} 4_{+} -1 -40 -93 1^{5} 4_{+} 1  5 5 5 5 5 5  5
C_{5}  -21 17  5 5 5 5  5 5 5

Discriminant class: 101

∞ 101 a_{1} a_{2} a_{3}  Over p = 101  2 3 5 7 11 13 17 19
G h a_{4} a_{5}  f^{e} c_{w} d  s 23 29 31 37 41 43 47 53
2. 2_{−} 3_{−} 2 7 4 1^{4} 3_{−} 101 101 4 4 5 4 4 22 22
F_{5} 11 -6 22 4 5 5 4 22 22 4
3. 2_{−} 3_{−} 1 -6 -1 1^{3} 2_{+} ∗  32 32 5 32 4 3 22 5
S_{5}  18 4  1^{2} 1_{−} 101∗ 101∗ 5 32 22 5 4 3 5 2