Low Degree Fields Unramified Outside of {∞, 5, 71}

Discriminant class: −355

∞ 5 71 a_{1} a_{2} a_{3} Over p = 5  Over p = 71  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 41 43 47 53 59
1. 1_{k} 1_{+} 1_{i} 0 355  1^{2} 1_{+} 5 5 1^{2} 1_{i} 71∗ 71∗ 2 2  2
C_{2} 4  2 2 2 2  2

Discriminant class: −71

∞ 5 71 a_{1} a_{2} a_{3} Over p = 5  Over p = 71  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 41 43 47 53 59
2. 1_{k} 0_{+} 1_{i} 0 71  1^{2} 1_{i} 71∗ 71∗  2 2 2 2  2
C_{2} 7  2  2  2 2 2

Discriminant class: 5

∞ 5 71 a_{1} a_{2} a_{3} Over p = 5  Over p = 71 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 41 43 47 53 59
3. 0_{+} 1_{+} 0_{+} 1 -1  1^{2} 1_{+} 5 5  2 2 2  2 2  2
C_{2}  2  2 2 2