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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
2.1.10.19a1.3 $x^{10} + 4 x^{9} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}, 3]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5},2]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.4 $x^{10} + 4 x^{9} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}, 3]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5},2]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.5 $x^{10} + 4 x^{7} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.6 $x^{10} + 4 x^{7} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.7 $x^{10} + 4 x^{9} + 4 x^{7} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.8 $x^{10} + 4 x^{9} + 4 x^{7} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.11 $x^{10} + 4 x^{9} + 4 x^{5} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}, 3]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5},2]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{5} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.12 $x^{10} + 4 x^{9} + 4 x^{5} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}, 3]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5},2]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{5} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.13 $x^{10} + 4 x^{7} + 4 x^{5} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{5} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.14 $x^{10} + 4 x^{7} + 4 x^{5} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{5} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.15 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.16 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}, 3]_{5}^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5},2]_{5}^{4}$ $[\frac{8}{5},\frac{8}{5},\frac{8}{5},\frac{8}{5}]^{4}$ $[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.17 $x^{10} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.18 $x^{10} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.19 $x^{10} + 4 x^{9} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.20 $x^{10} + 4 x^{9} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.21 $x^{10} + 4 x^{7} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.22 $x^{10} + 4 x^{7} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.23 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.24 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.25 $x^{10} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{5} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.26 $x^{10} + 4 x^{5} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{5} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.27 $x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.28 $x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.29 $x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.30 $x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.31 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.32 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{12}{5}, \frac{12}{5}, \frac{12}{5}, \frac{12}{5}, 3]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5},2]_{5}^{4}$ $[\frac{12}{5},\frac{12}{5},\frac{12}{5},\frac{12}{5}]^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.33 $x^{10} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.34 $x^{10} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.35 $x^{10} + 4 x^{9} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.36 $x^{10} + 4 x^{9} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.37 $x^{10} + 4 x^{7} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.38 $x^{10} + 4 x^{7} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.39 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.40 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.41 $x^{10} + 4 x^{5} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{5} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.42 $x^{10} + 4 x^{5} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{5} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.43 $x^{10} + 4 x^{9} + 4 x^{5} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{5} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.44 $x^{10} + 4 x^{9} + 4 x^{5} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{5} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.45 $x^{10} + 4 x^{7} + 4 x^{5} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{5} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.46 $x^{10} + 4 x^{7} + 4 x^{5} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{5} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.47 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.48 $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.49 $x^{10} + 4 x^{3} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{3} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.50 $x^{10} + 4 x^{3} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{3} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.51 $x^{10} + 4 x^{9} + 4 x^{3} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{3} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.52 $x^{10} + 4 x^{9} + 4 x^{3} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{9} + 4 x^{3} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.53 $x^{10} + 4 x^{7} + 4 x^{3} + 4 x + 2$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{3} + 4 x + 2$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
2.1.10.19a1.54 $x^{10} + 4 x^{7} + 4 x^{3} + 4 x + 10$ $2$ $1$ $10$ $19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $4$ $5$ $[3]$ $[2]$ $[\frac{14}{5}, \frac{14}{5}, \frac{14}{5}, \frac{14}{5}, 3]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5},2]_{5}^{4}$ $[\frac{14}{5},\frac{14}{5},\frac{14}{5},\frac{14}{5}]^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $t + 1$ $x^{10} + 4 x^{7} + 4 x^{3} + 4 x + 10$ $[10, 0]$ $[4, 1]$ $z^8 + z^6 + 1,z + 1$ $[5, 15]$
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