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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
3.1.15.15a1.1 $x^{15} + 3 x + 3$ $3$ $1$ $15$ $15$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{11}{10}]$ $[\frac{1}{10}]$ $[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}]_{10}^{4}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]_{10}^{4}$ $[\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x + 3$ $[1, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.15a1.2 $x^{15} + 6 x + 3$ $3$ $1$ $15$ $15$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{11}{10}]$ $[\frac{1}{10}]$ $[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}]_{10}^{4}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]_{10}^{4}$ $[\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x + 3$ $[1, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.16a1.1 $x^{15} + 3 x^{2} + 3$ $3$ $1$ $15$ $16$ $C_3^4:F_5$ (as 15T41) $4$ $5$ $[\frac{6}{5}]$ $[\frac{1}{5}]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{15} + 3 x^{2} + 3$ $[2, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.16a1.2 $x^{15} + 3 x^{3} + 3 x^{2} + 3$ $3$ $1$ $15$ $16$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{6}{5}]$ $[\frac{1}{5}]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{12}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{12}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{12}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{12}$ $t + 1$ $x^{15} + 3 x^{3} + 3 x^{2} + 3$ $[2, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.16a1.3 $x^{15} + 6 x^{3} + 3 x^{2} + 3$ $3$ $1$ $15$ $16$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{6}{5}]$ $[\frac{1}{5}]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{12}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{12}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{12}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{12}$ $t + 1$ $x^{15} + 6 x^{3} + 3 x^{2} + 3$ $[2, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.16a2.1 $x^{15} + 6 x^{2} + 3$ $3$ $1$ $15$ $16$ $C_3^4:F_5$ (as 15T42) $4$ $5$ $[\frac{6}{5}]$ $[\frac{1}{5}]$ $[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{4}$ $[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ $[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ $t + 1$ $x^{15} + 6 x^{2} + 3$ $[2, 0]$ $[4, 2]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ undefined
3.1.15.18a1.1 $x^{15} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3^4:F_5$ (as 15T41) $4$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ $t + 1$ $x^{15} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.2 $x^{15} + 3 x^{6} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ $t + 1$ $x^{15} + 3 x^{6} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.3 $x^{15} + 6 x^{6} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ $t + 1$ $x^{15} + 6 x^{6} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.4 $x^{15} + 3 x^{5} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3^4:F_5$ (as 15T41) $4$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ $t + 1$ $x^{15} + 3 x^{5} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.5 $x^{15} + 3 x^{6} + 3 x^{5} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ $t + 1$ $x^{15} + 3 x^{6} + 3 x^{5} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.6 $x^{15} + 6 x^{6} + 3 x^{5} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ $t + 1$ $x^{15} + 6 x^{6} + 3 x^{5} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.7 $x^{15} + 6 x^{5} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3^4:F_5$ (as 15T41) $4$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ $t + 1$ $x^{15} + 6 x^{5} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.8 $x^{15} + 3 x^{6} + 6 x^{5} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ $t + 1$ $x^{15} + 3 x^{6} + 6 x^{5} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a1.9 $x^{15} + 6 x^{6} + 6 x^{5} + 6 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ $t + 1$ $x^{15} + 6 x^{6} + 6 x^{5} + 6 x^{4} + 3$ $[4, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.18a2.1 $x^{15} + 3 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3^4:F_5$ (as 15T42) $4$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ $t + 1$ $x^{15} + 3 x^{4} + 3$ $[4, 0]$ $[4, 2]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ undefined
3.1.15.18a2.2 $x^{15} + 3 x^{5} + 3 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3^4:F_5$ (as 15T42) $4$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ $t + 1$ $x^{15} + 3 x^{5} + 3 x^{4} + 3$ $[4, 0]$ $[4, 2]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ undefined
3.1.15.18a2.3 $x^{15} + 6 x^{5} + 3 x^{4} + 3$ $3$ $1$ $15$ $18$ $C_3^4:F_5$ (as 15T42) $4$ $5$ $[\frac{7}{5}]$ $[\frac{2}{5}]$ $[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ $[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ $[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ $t + 1$ $x^{15} + 6 x^{5} + 3 x^{4} + 3$ $[4, 0]$ $[4, 2]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ undefined
3.1.15.19a1.1 $x^{15} + 3 x^{5} + 3$ $3$ $1$ $15$ $19$ $F_5 \times S_3$ (as 15T11) $4$ $10$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{10}^{4}$ $[\frac{1}{2}]_{10}^{4}$ $[\ ]^{4}_{2}$ $[\ ]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{5} + 3$ $[5, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.19a1.2 $x^{15} + 3 x^{7} + 3 x^{5} + 3$ $3$ $1$ $15$ $19$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ $[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{7} + 3 x^{5} + 3$ $[5, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.19a1.3 $x^{15} + 6 x^{7} + 3 x^{5} + 3$ $3$ $1$ $15$ $19$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ $[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{7} + 3 x^{5} + 3$ $[5, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.19a1.4 $x^{15} + 6 x^{5} + 3$ $3$ $1$ $15$ $19$ $F_5 \times S_3$ (as 15T11) $4$ $10$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{3}{2}]_{10}^{4}$ $[\frac{1}{2}]_{10}^{4}$ $[\ ]^{4}_{2}$ $[\ ]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{5} + 3$ $[5, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.19a1.5 $x^{15} + 3 x^{7} + 6 x^{5} + 3$ $3$ $1$ $15$ $19$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ $[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{7} + 6 x^{5} + 3$ $[5, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.19a1.6 $x^{15} + 6 x^{7} + 6 x^{5} + 3$ $3$ $1$ $15$ $19$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{3}{2}]$ $[\frac{1}{2}]$ $[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ $[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ $[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{7} + 6 x^{5} + 3$ $[5, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.1 $x^{15} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.2 $x^{15} + 3 x^{10} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{10} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.3 $x^{15} + 6 x^{10} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{10} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.4 $x^{15} + 3 x^{8} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{8} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.5 $x^{15} + 3 x^{10} + 3 x^{8} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{10} + 3 x^{8} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.6 $x^{15} + 6 x^{10} + 3 x^{8} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{10} + 3 x^{8} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.7 $x^{15} + 6 x^{8} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{8} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.8 $x^{15} + 3 x^{10} + 6 x^{8} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{10} + 6 x^{8} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.9 $x^{15} + 6 x^{10} + 6 x^{8} + 3 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{10} + 6 x^{8} + 3 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ undefined
3.1.15.21a1.10 $x^{15} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.11 $x^{15} + 3 x^{10} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{10} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.12 $x^{15} + 6 x^{10} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(C_2\times F_5)$ (as 15T52) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{10} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.13 $x^{15} + 3 x^{8} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{8} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.14 $x^{15} + 3 x^{10} + 3 x^{8} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{10} + 3 x^{8} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.15 $x^{15} + 6 x^{10} + 3 x^{8} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{10} + 3 x^{8} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.16 $x^{15} + 6 x^{8} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{8} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.17 $x^{15} + 3 x^{10} + 6 x^{8} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 3 x^{10} + 6 x^{8} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.21a1.18 $x^{15} + 6 x^{10} + 6 x^{8} + 6 x^{7} + 3$ $3$ $1$ $15$ $21$ $C_3^4:(S_3\times F_5)$ (as 15T64) $4$ $10$ $[\frac{17}{10}]$ $[\frac{7}{10}]$ $[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ $[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ $[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ $t + 1$ $x^{15} + 6 x^{10} + 6 x^{8} + 6 x^{7} + 3$ $[7, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ undefined
3.1.15.22a1.1 $x^{15} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3^4:F_5$ (as 15T41) $4$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{4}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{4}$ $t + 1$ $x^{15} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.22a1.2 $x^{15} + 3 x^{12} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ $t + 1$ $x^{15} + 3 x^{12} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.22a1.3 $x^{15} + 6 x^{12} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ $t + 1$ $x^{15} + 6 x^{12} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.22a1.4 $x^{15} + 3 x^{11} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3^4:F_5$ (as 15T41) $4$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{4}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{4}$ $t + 1$ $x^{15} + 3 x^{11} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.22a1.5 $x^{15} + 3 x^{12} + 3 x^{11} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ $t + 1$ $x^{15} + 3 x^{12} + 3 x^{11} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.22a1.6 $x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ $t + 1$ $x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.22a1.7 $x^{15} + 6 x^{11} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3^4:F_5$ (as 15T41) $4$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{4}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{4}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{4}$ $t + 1$ $x^{15} + 6 x^{11} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
3.1.15.22a1.8 $x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{8} + 3$ $3$ $1$ $15$ $22$ $C_3\wr F_5$ (as 15T56) $12$ $5$ $[\frac{9}{5}]$ $[\frac{4}{5}]$ $[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ $[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ $[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ $t + 1$ $x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{8} + 3$ $[8, 0]$ $[4, 1]$ $z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ undefined
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