Low Degree Fields Unramified Outside of {∞, 5, 17}

Discriminant class: 5

∞ 5 17 a_{1} a_{2} a_{3} Over p = 5  Over p = 17 2 3 7 11 13 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
1. 0_{+} 1_{+} 0_{+} 1 -1  1^{2} 1_{+} 5 5 2 0_{+} ∗ ∗ 2 2 2  2  2
C_{2}  2  2 2 2

Discriminant class: 17

∞ 5 17 a_{1} a_{2} a_{3} Over p = 5  Over p = 17 2 3 7 11 13 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
2. 0_{+} 0_{+} 1_{+} 1 -4  2 0_{+} ∗ ∗ 1^{2} 1_{+} 17 17  2 2 2  2 2
C_{2}  2 2 2  2

Discriminant class: 85

∞ 5 17 a_{1} a_{2} a_{3}  Over p = 5  Over p = 17  2 3 7 11 13 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 31 37 41 43 47 53 59 61
3. 0_{+} 1_{−} 1_{−} 0 -85  1^{2} 1_{−} 5∗ 5∗ 1^{2} 1_{−} 17∗ 17∗ 2  2 2  2
C_{2} 2  2  2 2 2 2  2