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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
2.1.10.10a1.1 $x^{10} + 2 x + 2$ $2$ $1$ $10$ $10$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{6}{5}]$ $[\frac{1}{5}]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 2 x + 2$ $[1, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 11]$
2.1.10.10a1.2 $x^{10} + 2 x^{2} + 2 x + 2$ $2$ $1$ $10$ $10$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{6}{5}]$ $[\frac{1}{5}]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{2} + 2 x + 2$ $[1, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 11]$
2.1.10.12a1.1 $x^{10} + 2 x^{3} + 2$ $2$ $1$ $10$ $12$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{8}{5}]$ $[\frac{3}{5}]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{3} + 2$ $[3, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 13]$
2.1.10.12a1.2 $x^{10} + 2 x^{6} + 2 x^{3} + 2$ $2$ $1$ $10$ $12$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{8}{5}]$ $[\frac{3}{5}]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{6} + 2 x^{3} + 2$ $[3, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 13]$
2.1.10.12a1.3 $x^{10} + 2 x^{5} + 2 x^{3} + 2$ $2$ $1$ $10$ $12$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{8}{5}]$ $[\frac{3}{5}]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{5} + 2 x^{3} + 2$ $[3, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 13]$
2.1.10.12a1.4 $x^{10} + 2 x^{6} + 2 x^{5} + 2 x^{3} + 2$ $2$ $1$ $10$ $12$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{8}{5}]$ $[\frac{3}{5}]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{6} + 2 x^{5} + 2 x^{3} + 2$ $[3, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 13]$
2.1.10.14a1.1 $x^{10} + 2 x^{5} + 2$ $2$ $1$ $10$ $14$ $F_{5}\times C_2$ (as 10T5) $4$ $5$ $[2]$ $[1]$ $[2]_{5}^{4}$ $[1]_{5}^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{10} + 2 x^{5} + 2$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 10]$
2.1.10.14a1.2 $x^{10} + 2 x^{5} + 6$ $2$ $1$ $10$ $14$ $F_{5}\times C_2$ (as 10T5) $4$ $5$ $[2]$ $[1]$ $[2]_{5}^{4}$ $[1]_{5}^{4}$ $[\ ]^{4}$ $[\ ]^{4}$ $t + 1$ $x^{10} + 2 x^{5} + 6$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 20]$
2.1.10.14a1.3 $x^{10} + 2 x^{9} + 2 x^{5} + 2$ $2$ $1$ $10$ $14$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[2]$ $[1]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}, 2]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5},1]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{5} + 2$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 19]$
2.1.10.14a1.4 $x^{10} + 2 x^{9} + 2 x^{5} + 6$ $2$ $1$ $10$ $14$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[2]$ $[1]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}, 2]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5},1]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{5} + 6$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 19]$
2.1.10.14a1.5 $x^{10} + 2 x^{7} + 2 x^{5} + 2$ $2$ $1$ $10$ $14$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[2]$ $[1]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 2]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},1]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 2 x^{5} + 2$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 17]$
2.1.10.14a1.6 $x^{10} + 2 x^{7} + 2 x^{5} + 6$ $2$ $1$ $10$ $14$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[2]$ $[1]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 2]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},1]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 2 x^{5} + 6$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 17]$
2.1.10.14a1.7 $x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$ $2$ $1$ $10$ $14$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[2]$ $[1]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 2]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},1]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 17]$
2.1.10.14a1.8 $x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 6$ $2$ $1$ $10$ $14$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[2]$ $[1]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 2]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},1]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 6$ $[5, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 17]$
2.1.10.16a1.1 $x^{10} + 2 x^{7} + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.2 $x^{10} + 2 x^{7} + 4 x^{4} + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 4 x^{4} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.3 $x^{10} + 2 x^{7} + 4 x^{3} + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 4 x^{3} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.4 $x^{10} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.5 $x^{10} + 2 x^{7} + 4 x + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.6 $x^{10} + 2 x^{7} + 4 x^{4} + 4 x + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 4 x^{4} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.7 $x^{10} + 2 x^{7} + 4 x^{3} + 4 x + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 4 x^{3} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.8 $x^{10} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $1$ $10$ $16$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.9 $x^{10} + 2 x^{9} + 2 x^{7} + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.10 $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.11 $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{3} + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{3} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.12 $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.13 $x^{10} + 2 x^{9} + 2 x^{7} + 4 x + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.14 $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 4 x + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.15 $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{3} + 4 x + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{3} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.16a1.16 $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $1$ $10$ $16$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{12}{5}]$ $[\frac{7}{5}]$ $[2, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}]_{5}^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]_{5}^{4}$ $[2,\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[1,\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2 x^{7} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $[7, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.1 $x^{10} + 2 x^{9} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.2 $x^{10} + 2 x^{9} + 4 x^{8} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.3 $x^{10} + 2 x^{9} + 4 x^{7} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{7} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.4 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.5 $x^{10} + 2 x^{9} + 4 x^{5} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{5} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.6 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{5} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{5} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.7 $x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{5} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{5} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.8 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.9 $x^{10} + 2 x^{9} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.10 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.11 $x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.12 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.13 $x^{10} + 2 x^{9} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{5} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.14 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{5} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.15 $x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T24) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.16 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $18$ $(C_2^4 : C_5):C_4$ (as 10T25) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.17 $x^{10} + 2 x^{9} + 4 x + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.18 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.19 $x^{10} + 2 x^{9} + 4 x^{7} + 4 x + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{7} + 4 x + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.18a1.20 $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x + 2$ $2$ $1$ $10$ $18$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[\frac{14}{5}]$ $[\frac{9}{5}]$ $[2, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}]_{5}^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]_{5}^{4}$ $[2,\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[1,\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 2 x^{9} + 4 x^{8} + 4 x^{7} + 4 x + 2$ $[9, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
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