Low Degree Fields Ramifying Above {59, 61}

Discriminant class: −3599

∞ 59 61 a_{1} a_{2} a_{3}  Over p = 59  Over p = 61  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 3599  1^{2} 1_{k} 59 59 1^{2} 1_{−} 61∗ 61∗  2  2 2
C_{2} 66  2  2 2
2. 1_{k} 1_{k} 1_{−} -1  -6 -11 1^{2} 1_{k} 59 59 1^{2} 1_{−} 61∗ 61∗ 3 3 3 2  2 2
S_{3}  3 2 3 3 3 3 2 2