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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.20.33 $x^{12} + 2 x^{11} + 6 x^{10} + 20 x^{9} + 38 x^{8} + 12 x^{7} + 48 x^{6} + 44 x^{5} + 40 x^{4} - 8 x^{3} + 76 x^{2} - 24 x + 36$ $2$ $6$ $2$ $20$ $C_2^3:S_4$ (as 12T106) $[8/3]$ $[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ $t^{2} + t + 1$ $x^{6} + \left(2 t + 2\right) x^{5} + \left(6 t + 4\right) x^{4} + \left(2 t + 6\right) x^{2} + 4 t x + 6$
2.12.22.12 $x^{12} - 4 x^{11} + 20 x^{10} - 12 x^{9} + 36 x^{8} - 12 x^{7} + 76 x^{6} - 64 x^{5} + 88 x^{4} - 56 x^{3} + 16 x^{2} - 56 x + 196$ $2$ $6$ $2$ $22$ $C_2^3:S_4$ (as 12T106) $[3]$ $[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ $t^{2} + t + 1$ $x^{6} + 4 t x^{5} + 2 x^{4} + 4 t x^{3} + 4 t x + 14$
2.12.22.25 $x^{12} + 8 x^{11} + 12 x^{10} - 16 x^{9} + 16 x^{8} - 4 x^{7} - 12 x^{6} + 48 x^{5} - 8 x^{4} + 16 x^{2} - 8 x + 4$ $2$ $6$ $2$ $22$ $C_2^3:S_4$ (as 12T106) $[3]$ $[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ $t^{2} + t + 1$ $x^{6} + 4 x^{5} + 4 t x^{4} + 4 t x + 2$
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