Low Degree Fields Ramifying Above {43, 83}

Discriminant class: 3569

∞ 43 83 a_{1}  a_{2} a_{3}  Over p = 43  Over p = 83  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 47 53 59
1. 0_{+} 1_{k} 1_{i} 0 -3569  1^{2} 1_{k} 43 43 1^{2} 1_{i} 83∗ 83∗  2  2  2
C_{2} 3  2  2  2 2
2. 0_{+} 1_{k} 1_{i} -1 -10 9 1^{2} 1_{k} 43 43 1^{2} 1_{i} 83∗ 83∗ 3 2 3 2 3 2  3
S_{3}  3 2  2 3 2 2