Low Degree Fields Ramifying Above {11, 29}

Discriminant class: −319

∞ 11 29 a_{1} a_{2} a_{3}  Over p = 11  Over p = 29  2 3 5 7 13 17 19 23
G h  f^{e} c_{w} d s f^{e} c_{w} d  s 31 37 41 43 47 53 59 61
1. 1_{k} 1_{k} 1_{−} 0 319  1^{2} 1_{k} 11 11 1^{2} 1_{−} 29∗ 29∗  2  2 2
C_{2} 10  2 2  2

Discriminant class: −11

∞ 11 29 a_{1} a_{2} a_{3}  Over p = 11  Over p = 29 2 3 5 7 13 17 19 23
G h  f^{e} c_{w} d  s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
2. 1_{k} 1_{i} 2_{+} -1 -19 44 1^{2} 1_{i} 11∗ 11∗ 1^{3} 2_{+} ∗  2 3  2 2 2 2 3
S_{3} 2  3 3 2 2  3 3 2