Low Degree Fields Ramifying Above {5, 13}

Discriminant class: 65

∞ 5 13 a_{1} a_{2} a_{3}  Over p = 5  Over p = 13  2 3 7 11 17 19 23 29
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 31 37 41 43 47 53 59 61
1. 0_{+} 1_{−} 1_{−} 0 -65  1^{2} 1_{−} 5∗ 5∗ 1^{2} 1_{−} 13∗ 13∗  2  2 2 2 2
C_{2} 2  2  2 2  2 2