New Sextic Fields Ramifying Above {2, 11}

Discriminant class: −1

∞  2 11 a_{1} a_{2} a_{3}  Over p = 2  Over p = 11 3 5 7 13 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. 3_{i}  14_{k} 2_{+} 2  3 4 1^{4} 11_{−} 2 −2 1^{3} 2_{+} ∗  32 42 6 42 22 32 222 42
C_{3}^{2}.D_{4}  5 -2 3 1^{2} 3_{i} −2 −2 3 0_{+} 1  6 42 22 2 6 42 32 42
2. 1_{k}  14_{i} 4_{+} 0 -8 44 1^{4} 11_{i} −2 2 2^{3} 4_{+} ∗  6 42 32 42 22 6 2 42
C_{3}^{2}.D_{4}  69 -132 34 1^{2} 3_{+} 2  2  32 42 22 222 32 42 6 42