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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
2.1.16.64j1.257 $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.258 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.259 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.260 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.265 $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.266 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.267 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.268 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.273 $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.274 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.275 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.276 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.281 $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.282 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.283 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.284 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.293 $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.294 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.295 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.296 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.301 $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.302 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.303 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.304 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.309 $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.310 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.311 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.312 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.317 $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.318 $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.319 $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.320 $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.533 $x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.534 $x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.535 $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.536 $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.541 $x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.542 $x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.543 $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.544 $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.561 $x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.562 $x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.563 $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.564 $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.569 $x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.570 $x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.571 $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.572 $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $2$ $1$ $16$ $64$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.581 $x^{16} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
2.1.16.64j1.582 $x^{16} + 8 x^{14} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $64$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ $[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ $[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ $[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{14} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[49, 38, 24, 8, 0]$ $[1, 1, 1, 1]$ $z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 29, 45]$
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