Low Degree Fields Ramifying Above {2, 17}

Discriminant class: −34

∞ 2 17 a_{1} a_{2} a_{3}  Over p = 2  Over p = 17 3 5 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. 1_{k} 3_{i} 1_{+} 0 34  1^{2} 3_{i} −2 −2 1^{2} 1_{+} 17 17 2  2 2
C_{2} 4  2  2 2

Discriminant class: −17

∞ 2 17 a_{1} a_{2} a_{3}  Over p = 2  Over p = 17 3 5 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. 1_{k} 2_{i} 1_{+} 0 17  1^{2} 2_{i} −1 −1 1^{2} 1_{+} 17 17  2  2  2
C_{2} 4  2 2 2 2  2 2

Discriminant class: 34

∞ 2 17 a_{1} a_{2} a_{3} Over p = 2  Over p = 17 3 5 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_{+} 3_{+} 1_{+} 0 -34  1^{2} 3_{+} 2 2 1^{2} 1_{+} 17 17  2  2 2 2
C_{2} 2  2  2 2  2 2