New Sextic Fields Unramified Outside of {∞, 2, 13}

Discriminant class: 2

∞  2 13 a_{1} a_{2} a_{3}  Over p = 2  Over p = 13 3 5 7 11 17 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_{−} 9_{−} 4_{+} 0 2 -8 1^{4} 9_{−} 2∗ −1 1^{5} 4_{+} ∗  6 4 5 6 42 32 3 6
S_{6} -6 -16 -8 2 0_{+} ∗ ∗ 42 32 42 32 5 6 32 6
2. 2_{−} 13_{−} 4_{+} 2 -5 -4 1^{4} 10_{i} −1 2∗ 1^{5} 4_{+} ∗  32 4 5 32 42 6 33 32
S_{6}  -22 -20 -50 1^{2} 3_{i} −2 −2  42 6 42 6 5 32 6 32