Low Degree Fields Ramifying Above {23, 61}

Discriminant class: −1403

∞ 23 61 a_{1} a_{2} a_{3}  Over p = 23  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 29 31 37 41 43 47 53 59
1. 1_{k} 1_{k} 1_{−} 0 1403  1^{2} 1_{k} 23 23 1^{2} 1_{−} 61∗ 61∗ 2  2  2
C_{2} 14  2 2  2

Discriminant class: 61

∞ 23 61 a_{1} a_{2} a_{3} Over p = 23  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 29 31 37 41 43 47 53 59
2. 0_{+} 2_{+} 1_{+} 0 -46 -115 1^{3} 2_{+} ∗  1^{2} 1_{+} 61 61 2 3  2 2 3 2 3
S_{3}  2 2 2 3 2  2 2