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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
2.1.16.58c1.405 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.406 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.407 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.408 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.409 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.410 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.411 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.412 $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.469 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.470 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.471 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.472 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.473 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.474 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.475 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.476 $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 8 x^{15} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.837 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.838 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.839 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.840 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.845 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.846 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.847 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.848 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.961 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.962 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.963 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.964 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.969 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.970 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.971 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.972 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 24 x^{10} + 16 x^{9} + 16 x^{5} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1109 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1110 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1111 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1112 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1117 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1118 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1119 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1120 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1233 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1234 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1235 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1236 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1241 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1242 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]_{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]_{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1243 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1244 $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 10 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1829 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 8 x^{2} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{7} + 8 x^{6} + 8 x^{2} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
2.1.16.58c1.1830 $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 8 x^{2} + 2$ $2$ $1$ $16$ $58$ $C_2^6:D_8$ (as 16T1275) $2$ $1$ $[2, 2, \frac{15}{4}, \frac{37}{8}]$ $[1,1,\frac{11}{4},\frac{29}{8}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}, \frac{9}{2}, \frac{9}{2}, \frac{37}{8}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4},\frac{7}{2},\frac{7}{2},\frac{29}{8}]^{2}$ $[3,\frac{7}{2},\frac{7}{2},\frac{9}{2},\frac{9}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2},\frac{7}{2},\frac{7}{2}]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 16 x^{10} + 16 x^{7} + 8 x^{6} + 8 x^{2} + 2$ $[43, 28, 12, 12, 0]$ $[2, 1, 1]$ $z^{12} + 1,z^2 + 1,z + 1$ $[1, 3, 11, 27, 43]$
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