New Sextic Fields Ramifying Above {13, 17}

Discriminant class: 1

∞ 13 17 a_{1} a_{2} a_{3}  Over p = 13  Over p = 17 2 3 5 7 11 19 23 29
G  h  a_{4} a_{5} a_{6} f^{e} c_{w} d s f^{e} c_{w} d s 31 37 41 43 47 53 59 61
1. 2_{−} 4_{−} 2_{+} -2 4 -9 1^{4} 3_{−} 13 13 1^{3} 2_{+} ∗  42 33 42 42 42 42 22 3
C_{3}^{2}.C_{4}  5 4 -4 1^{2} 1_{+} 13 13 2 0_{+} ∗ ∗ 42 42 42 22 42 3 42 33
2. 2_{−} 4_{−} 4_{+} -2 13 49 1^{4} 3_{−} 13 13 1^{3} 2_{+} ∗  42 3 42 42 42 42 22 33
C_{3}^{2}.C_{4} 3  -25 366 -9 1^{2} 1_{+} 13 13 1^{3} 2_{+} ∗  42 42 42 22 42 33 42 3