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Properties

Label 2.1.8.24c1.56-1.2.17a
Base 2.1.8.24c1.56
Degree \(2\)
e \(2\)
f \(1\)
c \(17\)

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Defining polynomial

$x^{2} + \left(b_{31} \pi^{16} + b_{29} \pi^{15} + b_{27} \pi^{14} + b_{25} \pi^{13} + b_{23} \pi^{12} + b_{21} \pi^{11} + b_{19} \pi^{10} + b_{17} \pi^{9}\right) x + c_{32} \pi^{17} + \pi$

Invariants

Residue field characteristic: $2$
Degree: $2$
Base field: 2.1.8.24c1.56
Ramification index $e$: $2$
Residue field degree $f$: $1$
Discriminant exponent $c$: $17$
Absolute Artin slopes: $[2,3,4,\frac{41}{8}]$
Swan slopes: $[16]$
Means: $\langle8\rangle$
Rams: $(16)$
Field count: $64$ (complete)
Ambiguity: $2$
Mass: $256$
Absolute Mass: $32$

Diagrams

Varying

These invariants are all associated to absolute extensions of $\Q_{ 2 }$ within this relative family, not the relative extension.

Galois group: $C_2\wr Q_8$
Hidden Artin slopes: $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$
Indices of inseparability: $[50,34,20,8,0]$
Associated inertia: $[1,1,1,1]$
Jump Set: $[1,2,4,8,32]$

Fields

Galois group Galois Artin Indices
Assoc. Inertia Jump Set
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Label Polynomial $/ \Q_p$ Galois group $/ \Q_p$ Galois degree $/ \Q_p$ $\#\Aut(K/\Q_p)$ Artin slope content $/ \Q_p$ Swan slope content $/ \Q_p$ Hidden Artin slopes $/ \Q_p$ Hidden Swan slopes $/ \Q_p$ Ind. of Insep. $/ \Q_p$ Assoc. Inertia $/ \Q_p$ Resid. Poly Jump Set
2.1.16.65c1.7297 $x^{16} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7298 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7299 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7300 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7301 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7302 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 4 x^{4} + 40 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7303 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7304 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7305 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7306 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7307 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7308 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7309 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7310 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7311 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7312 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 40 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7313 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7314 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7315 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 4 x^{4} + 40 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7316 $x^{16} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7317 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7318 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7319 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7320 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7321 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7322 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7323 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 40 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7324 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7325 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7326 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7327 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7328 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7329 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7330 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7331 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7332 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7333 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7334 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7335 $x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7336 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7337 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 40 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7338 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7339 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7340 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 40 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7341 $x^{16} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7342 $x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7343 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7344 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7345 $x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.65c1.7346 $x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $C_2\wr Q_8$ (as 16T1484) $2048$ $2$ $[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}, 5, \frac{41}{8}]^{2}$ $[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4},4,\frac{33}{8}]^{2}$ $[3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4},5]^{2}$ $[2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4},4]^{2}$ $[50, 34, 20, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 8, 32]$
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