Low Degree Fields Ramifying Above {13, 19, 29}

Discriminant class: −7163

∞ 13 19 29 a_{1} a_{2} a_{3}  Over p = 13  Over p = 19  Over p = 29  2 3 5 7 11 17 23 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_{−} 1_{i} 1_{−} 0 7163  1^{2} 1_{−} 13∗ 13∗ 1^{2} 1_{i} 19∗ 19∗ 1^{2} 1_{−} 29∗ 29∗ 2  2 2  2  2
C_{2} 20  2 2 2  2  2