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Properties

Label 2.1.16.74a
Base 2.1.1.0a1.1
Degree \(16\)
e \(16\)
f \(1\)
c \(74\)

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Defining polynomial

$x^{16} + 16 b_{63} x^{15} + 8 b_{46} x^{14} + 16 b_{61} x^{13} + \left(4 a_{28} + 16 c_{60}\right) x^{12} + 16 a_{59} x^{11} + \left(16 b_{58} + 32 c_{74}\right) x^{10} + 32 b_{73} x^{9} + \left(4 b_{24} + 8 c_{40}\right) x^{8} + 32 b_{71} x^{7} + 16 b_{54} x^{6} + 32 b_{69} x^{5} + 8 b_{36} x^{4} + 32 b_{67} x^{3} + 16 b_{50} x^{2} + 32 b_{65} x + 8 c_{32} + 2$

Invariants

Residue field characteristic: $2$
Degree: $16$
Base field: $\Q_{2}$
Ramification index $e$: $16$
Residue field degree $f$: $1$
Discriminant exponent $c$: $74$
Artin slopes: $[3,\frac{7}{2},\frac{19}{4},\frac{45}{8}]$
Swan slopes: $[2,\frac{5}{2},\frac{15}{4},\frac{37}{8}]$
Means: $\langle1,\frac{7}{4},\frac{11}{4},\frac{59}{16}\rangle$
Rams: $(2,3,8,15)$
Field count: $16384$ (complete)
Ambiguity: $16$
Mass: $8192$
Absolute Mass: $8192$

Diagrams

Varying

Indices of inseparability: $[59,44,28,16,0]$
Associated inertia: $[1,1,1,1]$
Jump Set: $[1,3,7,15,31]$

Galois groups and Hidden Artin slopes

Select desired size of Galois group. Note that the following data has not all been computed for fields in this family, so the tables below are incomplete.

Fields

Galois group Galois Artin Indices
Assoc. Inertia Jump Set
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Label Packet size Polynomial Galois group Galois degree $\#\Aut(K/\Q_p)$ Artin slope content Swan slope content Hidden Artin slopes Hidden Swan slopes Ind. of Insep. Assoc. Inertia Resid. Poly Jump Set
2.1.16.74a1.1 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.2 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.3 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.4 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.5 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.6 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.7 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.8 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.9 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.10 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.11 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.12 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.13 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.14 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.15 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.16 $x^{16} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.D_8$ (as 16T1476) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.17 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.18 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.19 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.20 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.21 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.22 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.23 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.24 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.25 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.26 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.27 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.28 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.29 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.30 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.31 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.32 $x^{16} + 16 x^{15} + 16 x^{13} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.33 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.34 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.35 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.36 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.37 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.38 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.39 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.40 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.41 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.42 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.43 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.44 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 32 x^{7} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.45 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.46 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.47 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.48 $x^{16} + 16 x^{15} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 32 x^{9} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ $C_2^7.C_2\wr C_4$ (as 16T1704) $8192$ $2$ $[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]^{2}$ $[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]^{2}$ $[\frac{17}{4}, 2, 2, \frac{21}{4}, \frac{39}{8}, 4, \frac{43}{8}, \frac{9}{2}]_{2}$ $[\frac{13}{4},1,1,\frac{17}{4},\frac{31}{8},3,\frac{35}{8},\frac{7}{2}]_{2}$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.49 $x^{16} + 20 x^{12} + 16 x^{11} + 16 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.\SD_{16}$ (as 16T1482) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
2.1.16.74a1.50 $x^{16} + 20 x^{12} + 16 x^{11} + 48 x^{10} + 8 x^{8} + 16 x^{6} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 2$ $C_2^7.\SD_{16}$ (as 16T1482) $2048$ $2$ $[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}, \frac{21}{4}, \frac{43}{8}, \frac{45}{8}]$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8},\frac{17}{4},\frac{35}{8},\frac{37}{8}]$ $[2,4,\frac{17}{4},\frac{9}{2},\frac{39}{8},\frac{21}{4},\frac{43}{8}]$ $[1,3,\frac{13}{4},\frac{7}{2},\frac{31}{8},\frac{17}{4},\frac{35}{8}]$ $[59, 44, 28, 16, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 3, 7, 15, 31]$
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