Low Degree Fields Ramifying Above {7, 13}

Discriminant class: −91

∞ 7 13 a_{1} a_{2} a_{3} Over p = 7  Over p = 13  2 3 5 11 17 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} 1_{k} 1_{−} 0 91  1^{2} 1_{k} 7 7 1^{2} 1_{−} 13∗ 13∗ 2 2  2 2
C_{2} 2  2  2

Discriminant class: 1

∞ 7 13 a_{1} a_{2} a_{3} Over p = 7  Over p = 13 2 3 5 11 17 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. 0_{+} 2_{+} 2_{+} 1 -30 27 1^{3} 2_{+} 1 1^{3} 2_{+} 1 3 3 3 3 3
C_{3} 3  3 3 3 3 3 3 3
3. 0_{+} 2_{+} 2_{+} -1 -30 64 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3  3  3
C_{3} 3  3  3 3 3 3  3