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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
2.1.16.58c1.401 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.402 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.403 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.404 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.413 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.414 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.415 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.416 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.465 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.466 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.467 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.468 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.477 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.478 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.479 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.480 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.833 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.834 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.835 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.836 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.841 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.842 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.843 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.844 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.965 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.966 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.967 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.968 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.973 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.974 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.975 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.976 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1105 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1106 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1107 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1108 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1113 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1114 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1115 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1116 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1237 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1238 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1239 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1240 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1245 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1246 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1247 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1248 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1825 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{6} + 8 x^{2} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{6} + 8 x^{2} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1826 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 8 x^{2} + 2$ $2$ $1$ $16$ $58$ $(C_2^2\times C_4^2):D_8$ (as 16T1276) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 8 x^{2} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
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