Low degree fields ramifying above {7}

Discriminant class: −7

∞ 7 a_{1} a_{2} a_{3} Over p = 7 2 3 5 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 2  1^{2} 1_{i} 7∗ 7∗  2 2  2 2 2
C_{2}  2  2  2  2

Discriminant class: 1

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