Quintic Fields Ramifying Above {127}

Discriminant class: 1

∞ 127 a_{1} a_{2} a_{3}  Over p = 127  2 3 5 7 11 13 17 19
G  h a_{4} a_{5}  f^{e} c_{w} d  s 23 29 31 37 41 43 47 53
1. 2_{−} 2_{−} -1 -2 1 1^{2} 1_{i} 127∗ 127∗ 5 22 22 22 5 5 5 5
D_{5}  3 -1  1^{2} 1_{i} 127∗ 127∗ 22 22 5 5 5 22 5 22