New Sextic Fields Unramified Outside of {∞, 5, 13}

Discriminant class: 5

∞ 5 13 a_{1} a_{2} a_{3} Over p = 5  Over p = 13 2 3 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_{−} 2_{+} -3 10 -15 1^{5} 9_{−} 5  1^{3} 2_{+} 1  6 6 2 5 4 5 4 42
S_{6}  -10 -63 49  2 0_{+} ∗ ∗ 22 32 33 32 32 32 5 42
2. 2_{−} 9_{−} 4_{+}  3 20 -30 1^{5} 9_{−} 5  2^{3} 4_{+} ∗  32 32 222 5 4 5 4 42
S_{6} 15  -125 -896 -963  22 6 3 6 6 6 5 42