Low Degree Fields Ramifying Above {13, 89}

Discriminant class: 1157

∞ 13 89 a_{1}  a_{2} a_{3}  Over p = 13  Over p = 89  2 3 5 7 11 17 19 23
G h  f^{e} c_{w} d  s f^{e} c_{w} d  s 29 31 37 41 43 47 53 59
1. 0_{+} 1_{−} 1_{−} 0 -1157  1^{2} 1_{−} 13∗ 13∗ 1^{2} 1_{−} 89∗ 89∗ 2 2 2  2  2
C_{2} 2  2  2 2