New Sextic Fields Unramified Outside of {∞, 5, 17}

Discriminant class: 1

∞ 5 17 a_{1} a_{2} a_{3} Over p = 5  Over p = 17 2 3 7 11 13 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_{−} 8_{+} 2_{−} -2 10 -10 1^{5} 8_{+} 1  2^{2} 2_{−} 1 V 5 5 3 5 5 5 42 42
A_{6} 3 15 -7 -1 42 42 33 42 22 5 5 42
2. 2_{−} 8_{+} 2_{−} -2 0 0 1^{5} 8_{+} 1  2 0_{+} ∗ ∗ 5 5 33 5 5 5 42 42
A_{6} 3  5 -11 -13  1^{2} 1_{+} 17 17 42 42 3 42 22 5 5 42