Low Degree Fields Ramifying Above {7, 11, 23}

Discriminant class: −1771

∞ 7 11 23 a_{1} a_{2} a_{3}  Over p = 7  Over p = 11  Over p = 23  2 3 5 13 17 19 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_{i} 1_{k} 1_{i} 0 1771  1^{2} 1_{i} 7∗ 7∗ 1^{2} 1_{k} 11 11 1^{2} 1_{i} 23∗ 23∗ 2 2  2 2 2 2
C_{2} 8  2  2 2 2 2 2