Low Degree Fields Unramified Outside of {∞, 5, 41}

Discriminant class: 5

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

Discriminant class: 41

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

Discriminant class: 205

∞ 5 41 a_{1} a_{2} a_{3} Over p = 5  Over p = 41 2 3 7 11 13 17 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d s 29 31 37 43 47 53 59 61
3. 0_{+} 1_{+} 1_{+} 0 -205  1^{2} 1_{+} 5 5 1^{2} 1_{+} 41 41 2  2  2 2
C_{2} 2  2  2 2