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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
2.1.16.42b4.1 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T319) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.2 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.3 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.4 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.5 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.6 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T361) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.7 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T297) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.8 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.9 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.10 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.11 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.12 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T387) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.21 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T297) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.22 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.23 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.24 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.25 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.26 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T387) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.27 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T319) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.28 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.29 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.30 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.31 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.32 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T361) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 2$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 23, 39]$
2.1.16.42b4.73 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.74 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.75 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T319) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.76 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T361) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.77 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.78 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.79 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.80 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.81 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T297) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.82 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T387) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.83 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.84 $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.93 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T297) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.94 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.95 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T254) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.96 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.97 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T398) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.98 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T387) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.99 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T319) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.100 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.101 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_2^4.D_4$ (as 16T230) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{7} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.102 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{5} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.103 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T397) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 10 x^{8} + 8 x^{5} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
2.1.16.42b4.104 $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $16$ $42$ $C_4^2.D_4$ (as 16T361) $4$ $1$ $[2, 2, 2, \frac{7}{2}]$ $[1,1,1,\frac{5}{2}]$ $[2, 2, 2, 3, \frac{7}{2}]^{4}$ $[1,1,1,2,\frac{5}{2}]^{4}$ $[3]^{4}$ $[2]^{4}$ $t + 1$ $x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 6$ $[27, 14, 12, 8, 0]$ $[4, 1]$ $z^{14} + z^6 + z^2 + 1,z + 1$ $[1, 2, 7, 14, 32]$
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