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Label Polynomial $p$ $f$ $e$ $c$ Galois group $u$ $t$ Visible Artin slopes Visible Swan slopes Artin slope content Swan slope content Hidden Artin slopes Hidden Swan slopes Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia Resid. Poly Jump Set
2.1.16.66g1.1 $x^{16} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.2 $x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.3 $x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.4 $x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.5 $x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.6 $x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.7 $x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.8 $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.9 $x^{16} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.10 $x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.11 $x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.12 $x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.13 $x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.14 $x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.15 $x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.16 $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.17 $x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.18 $x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.19 $x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.20 $x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.21 $x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.22 $x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.23 $x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.24 $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.25 $x^{16} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.26 $x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.27 $x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.28 $x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.29 $x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.30 $x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.31 $x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.32 $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $(C_2^2\times D_4^2).D_4$ (as 16T1357) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.97 $x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.98 $x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.99 $x^{16} + 8 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.100 $x^{16} + 24 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.101 $x^{16} + 8 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.102 $x^{16} + 24 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.103 $x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.104 $x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.105 $x^{16} + 8 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.106 $x^{16} + 24 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.107 $x^{16} + 8 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.108 $x^{16} + 24 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.109 $x^{16} + 8 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.110 $x^{16} + 24 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.111 $x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.112 $x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.113 $x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.66g1.114 $x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ $2$ $1$ $16$ $66$ $C_2^6:C_4\wr C_2$ (as 16T1429) $2$ $1$ $[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ $[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ $[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ $[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ $t + 1$ $x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ $[51, 40, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
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