Low Degree Fields Ramifying Above {59, 89}

Discriminant class: −5251

∞ 59 89 a_{1} a_{2} a_{3}  Over p = 59  Over p = 89  2 3 5 7 11 13 17 19
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 23 29 31 37 41 43 47 53
1. 1_{k} 1_{k} 1_{−} 0 5251  1^{2} 1_{k} 59 59 1^{2} 1_{−} 89∗ 89∗ 2 2  2 2  2
C_{2} 14  2  2  2