Quintic Fields Ramifying Above {47}

Discriminant class: 1

∞ 47 a_{1} a_{2} a_{3}  Over p = 47  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 53 59
1. 2_{−} 2_{−} -2 2 -1 1^{2} 1_{i} 47∗ 47∗ 5 5 22 5 22 22 5 22
D_{5}  0 1  1^{2} 1_{i} 47∗ 47∗ 22 22 22 5 22 22 5 5