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Results (7 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.18.32 $x^{12} + 6 x^{11} + 8 x^{10} - 8 x^{9} + 10 x^{8} + 64 x^{7} + 40 x^{6} + 48 x^{5} + 4 x^{4} + 56 x^{3} - 32 x^{2} - 24$ $2$ $4$ $3$ $18$ $C_2^6:C_9$ (as 12T166) $[2, 2]$ $[2, 2, 2, 2, 2, 2]^{9}$ $t^{3} + t + 1$ $x^{4} + 2 x^{3} + \left(2 t^{2} + 2 t\right) x^{2} + 4 t + 2$
2.12.18.35 $x^{12} + 6 x^{11} + 12 x^{10} + 12 x^{9} + 26 x^{8} + 48 x^{7} + 32 x^{6} - 8 x^{5} + 4 x^{4} - 8 x^{3} - 32 x^{2} - 24$ $2$ $4$ $3$ $18$ $C_2^6:C_9$ (as 12T166) $[2, 2]$ $[2, 2, 2, 2, 2, 2]^{9}$ $t^{3} + t + 1$ $x^{4} + \left(2 t + 2\right) x^{3} + \left(2 t^{2} + 2 t\right) x^{2} + 4 t + 2$
2.12.18.37 $x^{12} + 12 x^{9} + 2 x^{8} - 32 x^{7} - 16 x^{6} + 40 x^{5} + 52 x^{4} - 16 x^{2} + 8$ $2$ $4$ $3$ $18$ $C_2^6:C_9$ (as 12T166) $[2, 2]$ $[2, 2, 2, 2, 2, 2]^{9}$ $t^{3} + t + 1$ $x^{4} + 2 t x^{3} + \left(2 t^{2} + 2 t\right) x^{2} + 2$
2.12.18.38 $x^{12} - 4 x^{11} + 10 x^{10} - 8 x^{9} + 26 x^{8} - 8 x^{7} + 24 x^{6} + 16 x^{5} + 52 x^{4} + 32 x^{3} + 56 x^{2} - 24$ $2$ $4$ $3$ $18$ $C_2^6:C_9$ (as 12T166) $[2, 2]$ $[2, 2, 2, 2, 2, 2]^{9}$ $t^{3} + t + 1$ $x^{4} + 2 t^{2} x^{3} + 2 x^{2} + 4 t + 2$
2.12.18.44 $x^{12} - 4 x^{11} + 22 x^{10} - 4 x^{9} + 54 x^{8} + 64 x^{7} + 16 x^{6} + 56 x^{5} + 60 x^{4} - 32 x^{3} + 88 x^{2} - 24$ $2$ $4$ $3$ $18$ $C_2^6:C_9$ (as 12T166) $[2, 2]$ $[2, 2, 2, 2, 2, 2]^{9}$ $t^{3} + t + 1$ $x^{4} + \left(2 t^{2} + 2 t\right) x^{3} + \left(2 t^{2} + 2\right) x^{2} + 4 t + 2$
2.12.18.46 $x^{12} + 2 x^{11} + 22 x^{10} + 52 x^{9} + 74 x^{8} + 56 x^{7} + 176 x^{6} + 168 x^{5} + 204 x^{4} + 72 x^{3} + 216 x^{2} + 216$ $2$ $4$ $3$ $18$ $C_2^6:C_9$ (as 12T166) $[2, 2]$ $[2, 2, 2, 2, 2, 2]^{9}$ $t^{3} + t + 1$ $x^{4} + \left(2 t^{2} + 2 t + 2\right) x^{3} + \left(2 t + 2\right) x^{2} + 6$
2.12.18.53 $x^{12} + 2 x^{11} + 18 x^{10} + 56 x^{9} + 86 x^{8} + 88 x^{7} + 136 x^{6} + 192 x^{5} + 92 x^{4} + 120 x^{3} + 120 x^{2} + 72$ $2$ $4$ $3$ $18$ $C_2^6:C_9$ (as 12T166) $[2, 2]$ $[2, 2, 2, 2, 2, 2]^{9}$ $t^{3} + t + 1$ $x^{4} + \left(2 t^{2} + 2 t + 2\right) x^{3} + \left(2 t^{2} + 2 t + 2\right) x^{2} + 4 t^{2} + 2$
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