Low Degree Fields Ramifying Above {7, 17, 19}

Discriminant class: 2261

∞ 7 17 19 a_{1}  a_{2} a_{3} Over p = 7  Over p = 17  Over p = 19 2 3 5 11 13 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. 0_{+} 1_{k} 1_{−} 1_{k} 0 -2261  1^{2} 1_{k} 7 7 1^{2} 1_{−} 17∗ 17∗ 1^{2} 1_{k} 19 19 2 2  2  2  2
C_{2} 2  2  2 2  2