Old Sextic Fields Ramifying Above {3}

Discriminant class: −3

∞ 3 a_{1} a_{2} a_{3} Over p = 3 2 5 7 11 13 17 19 23
G  h a_{4} a_{5} a_{6} f^{e} c_{w} d s 29 31 37 41 43 47 53 59
1.  3_{i}  9_{k} 0 0 -1 1^{6} 9_{k} 3∗  6 6 33 6 33 222  6
C_{6}  0 0 1  6 33  6 33 6 222 6
2.  3_{i}  11_{k} 0 0 0 1^{6} 11_{k} 3∗  222 222 33 222 33 222 33 222
S_{3}  0 0 3  222 33 33 222 33 222 222 222
3.  3_{i}  11_{k} 0 0 3 1^{6} 11_{k} 3∗  6 6 3 6 3 222 33 6
S_{3} × C_{3}  0 0 3  6 3 33 6 3 6 222 6