Low Degree Fields Ramifying Above {79, 89}

Discriminant class: −7031

∞ 79 89 a_{1} a_{2} a_{3}  Over p = 79  Over p = 89 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_{i} 1_{+} 0 7031  1^{2} 1_{i} 79∗ 79∗ 1^{2} 1_{+} 89 89  2 2 2
C_{2} 108  2  2  2 2
2. 1_{k} 1_{i} 1_{+} -1 18 -45 1^{2} 1_{i} 79∗ 79∗ 1^{2} 1_{+} 89 89 3  3 3 2 2 2
S_{3}  2  2 3 3 3 2 2