Low Degree Fields Ramifying Above {79, 83}

Discriminant class: 6557

∞ 79 83 a_{1}  a_{2} a_{3}  Over p = 79  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 43 47 53
1. 0_{+} 1_{k} 1_{i} 0 -6557  1^{2} 1_{k} 79 79 1^{2} 1_{i} 83∗ 83∗ 2 2 2 2  2 2 2
C_{2} 3  2  2 2
2. 0_{+} 1_{k} 1_{i} -1 -13 -6 1^{2} 1_{k} 79 79 1^{2} 1_{i} 83∗ 83∗ 2 2 2 2 3 2 2 2
S_{3}  3 2 3 2 2 3 3 3