Low degree fields ramifying above {3}

Discriminant class: −3

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

Discriminant class: 1

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