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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
2.1.16.48o1.1 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_4:D_4$ (as 16T34) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.2 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^2.D_4$ (as 16T54) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.3 $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^2.D_4$ (as 16T54) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.4 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.C_2^3$ (as 16T229) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.5 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.6 $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.7 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_4:D_4$ (as 16T34) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.8 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^2.D_4$ (as 16T54) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.9 $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^2.D_4$ (as 16T54) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.10 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^4.C_2^3$ (as 16T229) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.11 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.12 $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.13 $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.14 $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.15 $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.16 $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.17 $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.18 $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.19 $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.20 $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.21 $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^3.D_4$ (as 16T148) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{4}$ $[1,2,2,\frac{5}{2}]^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.22 $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^3.D_4$ (as 16T148) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{4}$ $[1,2,2,\frac{5}{2}]^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.23 $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2\wr C_4$ (as 16T166) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{4}$ $[1,2,2,\frac{5}{2}]^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.24 $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2\wr C_4$ (as 16T166) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{4}$ $[1,2,2,\frac{5}{2}]^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.25 $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.26 $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.27 $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.28 $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.29 $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.30 $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.31 $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.32 $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T874) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 15, 31, 47]$
2.1.16.48o1.33 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.34 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.35 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_2^4.C_2^3$ (as 16T229) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.36 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_4^2:C_2$ (as 16T30) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.37 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_4:D_4$ (as 16T43) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.38 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $2$ $1$ $16$ $48$ $C_4:D_4$ (as 16T43) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 17, 33, 49]$
2.1.16.48o1.39 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.40 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^5.(C_2\times D_4)$ (as 16T833) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,2,2,\frac{5}{2}]^{4}$ $[2,2,3]^{4}$ $[1,1,2]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.41 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_2^4.C_2^3$ (as 16T229) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{3} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.42 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_4^2:C_2$ (as 16T30) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.43 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_4:D_4$ (as 16T43) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.44 $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 10$ $2$ $1$ $16$ $48$ $C_4:D_4$ (as 16T43) $2$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{2}$ $[1,2,2,\frac{5}{2}]^{2}$ $[\ ]^{2}$ $[\ ]^{2}$ $t + 1$ $x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 10$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 5, 10, 32, 48]$
2.1.16.48o1.45 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x + 6$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x + 6$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.48o1.46 $x^{16} + 4 x^{10} + 10 x^{8} + 8 x + 6$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 10 x^{8} + 8 x + 6$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.48o1.47 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 6$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x + 6$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.48o1.48 $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 6$ $2$ $1$ $16$ $48$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 2, 3, 3, \frac{7}{2}]^{4}$ $[1,1,2,2,\frac{5}{2}]^{4}$ $[2]^{4}$ $[1]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x + 6$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.48o1.49 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 6$ $2$ $1$ $16$ $48$ $C_2^3.D_4$ (as 16T148) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{4}$ $[1,2,2,\frac{5}{2}]^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 8 x + 6$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 2, 4, 8, 32]$
2.1.16.48o1.50 $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 6$ $2$ $1$ $16$ $48$ $C_2^3.D_4$ (as 16T148) $4$ $1$ $[2, 3, 3, \frac{7}{2}]$ $[1,2,2,\frac{5}{2}]$ $[2, 3, 3, \frac{7}{2}]^{4}$ $[1,2,2,\frac{5}{2}]^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{16} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 6$ $[33, 26, 24, 8, 0]$ $[1, 2, 1]$ $z^8 + 1,z^6 + 1,z + 1$ $[1, 2, 4, 8, 32]$
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