Low Degree Fields Ramifying Above {43, 73}

Discriminant class: −3139

∞ 43 73 a_{1} a_{2} a_{3}  Over p = 43  Over p = 73  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. 1_{k} 1_{k} 1_{−} 0 3139  1^{2} 1_{k} 43 43 1^{2} 1_{−} 73∗ 73∗ 2 2  2 2 2 2
C_{2} 10  2 2  2 2 2

Discriminant class: 1

∞ 43 73 a_{1} a_{2} a_{3} Over p = 43 Over p = 73 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
2. 0_{+} 2_{+} 2_{+} 1 -1046 5813 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3 3 3 3 3 3
C_{3} 3  3 3  3 3 3  3
3. 0_{+} 2_{+} 2_{+} 1 -1046 -13021 1^{3} 2_{+} 1  1^{3} 2_{+} 1  3 3  3 3  3 3
C_{3} 3  3  3 3 3 3