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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.14.16.2 $x^{14} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2$ $2$ $14$ $1$ $16$ $C_2\wr C_7:C_3$ (as 14T44) $[10/7]$ $[8/7, 8/7, 8/7, 10/7, 10/7, 10/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2$
2.14.18.4 $x^{14} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2 x^{5} + 2$ $2$ $14$ $1$ $18$ $C_2\wr C_7:C_3$ (as 14T44) $[12/7]$ $[8/7, 8/7, 8/7, 12/7, 12/7, 12/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2 x^{5} + 2$
2.14.18.8 $x^{14} + 2 x^{6} + 2 x^{5} + 2$ $2$ $14$ $1$ $18$ $C_2\wr C_7:C_3$ (as 14T44) $[12/7]$ $[8/7, 8/7, 8/7, 12/7, 12/7, 12/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{6} + 2 x^{5} + 2$
2.14.20.1 $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2$ $2$ $14$ $1$ $20$ $C_2\wr C_7:C_3$ (as 14T44) $[2]$ $[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2$
2.14.20.11 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 6$ $2$ $14$ $1$ $20$ $C_2\wr C_7:C_3$ (as 14T44) $[2]$ $[8/7, 8/7, 8/7, 10/7, 10/7, 10/7, 2]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 6$
2.14.20.13 $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2$ $2$ $14$ $1$ $20$ $C_2\wr C_7:C_3$ (as 14T44) $[2]$ $[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2$
2.14.20.14 $x^{14} + 2 x^{11} + 2 x^{7} + 2 x^{6} + 2$ $2$ $14$ $1$ $20$ $C_2\wr C_7:C_3$ (as 14T44) $[2]$ $[8/7, 8/7, 8/7, 10/7, 10/7, 10/7, 2]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{7} + 2 x^{6} + 2$
2.14.20.15 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 6$ $2$ $14$ $1$ $20$ $C_2\wr C_7:C_3$ (as 14T44) $[2]$ $[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 6$
2.14.20.3 $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$ $2$ $14$ $1$ $20$ $C_2\wr C_7:C_3$ (as 14T44) $[2]$ $[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$
2.14.22.1 $x^{14} + 2 x^{12} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 16/7, 16/7, 16/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$
2.14.22.10 $x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[10/7, 10/7, 10/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$
2.14.22.12 $x^{14} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 16/7, 16/7, 16/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$
2.14.22.14 $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.22.15 $x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 6$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[10/7, 10/7, 10/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 6$
2.14.22.16 $x^{14} + 2 x^{12} + 2 x^{9} + 4 x^{3} + 4 x^{2} + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[10/7, 10/7, 10/7, 16/7, 16/7, 16/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{9} + 4 x^{3} + 4 x^{2} + 2$
2.14.22.17 $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 4 x^{2} + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[10/7, 10/7, 10/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 4 x^{2} + 2$
2.14.22.18 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[10/7, 10/7, 10/7, 16/7, 16/7, 16/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$
2.14.22.20 $x^{14} + 2 x^{13} + 2 x^{9} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 16/7, 16/7, 16/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{9} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.22.23 $x^{14} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{2} + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 16/7, 16/7, 16/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{2} + 2$
2.14.22.25 $x^{14} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.22.26 $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{2} + 6$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[10/7, 10/7, 10/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{2} + 6$
2.14.22.29 $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 4 x^{3} + 4 x + 6$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 4 x^{3} + 4 x + 6$
2.14.22.30 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 6$
2.14.22.32 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{2} + 6$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{2} + 6$
2.14.22.4 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.22.6 $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 2$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 2$
2.14.22.7 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 6$ $2$ $14$ $1$ $22$ $C_2\wr C_7:C_3$ (as 14T44) $[16/7]$ $[12/7, 12/7, 12/7, 2, 16/7, 16/7, 16/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 6$
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) $[18/7]$ $[12/7, 12/7, 12/7, 18/7, 18/7, 18/7]_{7}^{6}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{6} + 2$
2.14.24.16 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (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) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 4 x + 2$
2.14.24.21 $x^{14} + 2 x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (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) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.24.27 $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 4 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.14.24.29 $x^{14} + 2 x^{11} + 4 x^{5} + 4 x^{2} + 2$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (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) $[18/7]$ $[10/7, 10/7, 10/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{11} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$
2.14.24.35 $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 6$
2.14.24.4 $x^{14} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (as 14T44) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$
2.14.24.41 $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$ $2$ $14$ $1$ $24$ $C_2\wr C_7:C_3$ (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) $[18/7]$ $[12/7, 12/7, 12/7, 2, 18/7, 18/7, 18/7]_{7}^{3}$ $t + 1$ $x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6$
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