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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.14.24.1 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{2} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{2} + 4 x + 6$
2.14.24.10 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{5} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{5} + 4 x^{2} + 2$
2.14.24.11 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 6$
2.14.24.12 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$
2.14.24.13 $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$
2.14.24.14 $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{6} + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{6} + 2$
2.14.24.15 $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 4 x + 2$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 4 x + 2$
2.14.24.16 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$
2.14.24.17 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$
2.14.24.18 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{2} + 4 x + 2$
2.14.24.19 $x^{14} + 2 x^{11} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 2$
2.14.24.2 $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 4 x + 2$
2.14.24.20 $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{2} + 6$
2.14.24.21 $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$
2.14.24.22 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 2$
2.14.24.23 $x^{14} + 2 x^{11} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.24.24 $x^{14} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$
2.14.24.25 $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 4 x + 2$
2.14.24.26 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.24.27 $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.24.28 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{4} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{4} + 4 x^{2} + 4 x + 2$
2.14.24.29 $x^{14} + 2 x^{11} + 4 x^{5} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{5} + 4 x^{2} + 2$
2.14.24.3 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{2} + 2$
2.14.24.30 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{4} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{4} + 4 x + 6$
2.14.24.31 $x^{14} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 6$
2.14.24.32 $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$
2.14.24.33 $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 2$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 2$
2.14.24.34 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{6} + 4 x^{4} + 2$ $2$ $14$ $1$ $24$ $F_8:C_3$ (as 14T11) $[18/7]$ $[18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{6} + 4 x^{4} + 2$
2.14.24.35 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 6$
2.14.24.36 $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{5} + 4 x^{4} + 4 x + 2$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{5} + 4 x^{4} + 4 x + 2$
2.14.24.37 $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{7} + 4 x^{3} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{7} + 4 x^{3} + 4 x + 6$
2.14.24.38 $x^{14} + 2 x^{11} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 4 x + 6$
2.14.24.39 $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.14.24.4 $x^{14} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$
2.14.24.40 $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 2$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 2$
2.14.24.41 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$
2.14.24.42 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$
2.14.24.43 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6$
2.14.24.44 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.24.45 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 6$
2.14.24.46 $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 6$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 6$
2.14.24.47 $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 2$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 2$
2.14.24.48 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$
2.14.24.49 $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 6$
2.14.24.5 $x^{14} + 2 x^{13} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2^3:F_8:C_3$ (as 14T35) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$
2.14.24.50 $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 2$
2.14.24.51 $x^{14} + 2 x^{13} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $F_8:C_6$ (as 14T18) $[18/7]$ $[2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 2$
2.14.24.52 $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 4 x^{3} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 4 x^{3} + 6$
2.14.24.53 $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $F_8:C_3$ (as 14T11) $[18/7]$ $[18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$
2.14.24.54 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{2} + 6$
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