Low Degree Fields Ramifying Above {7, 11, 19}

Discriminant class: −1463

∞ 7 11 19 a_{1} a_{2} a_{3} Over p = 7  Over p = 11  Over p = 19  2 3 5 13 17 23 29 31
G h  f^{e} c_{w} d s f^{e} c_{w} d  s f^{e} c_{w} d  s 37 41 43 47 53 59 61 67
1. 1_{k} 1_{k} 1_{i} 1_{i} 0 1463  1^{2} 1_{k} 7 7 1^{2} 1_{i} 11∗ 11∗ 1^{2} 1_{i} 19∗ 19∗  2 2
C_{2} 32  2 2 2 2 2  2