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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.12.6.2 $x^{12} + 22 x^{10} + 177 x^{8} + 4 x^{7} + 644 x^{6} - 100 x^{5} + 876 x^{4} - 224 x^{3} + 1076 x^{2} + 344 x + 112$ $3$ $2$ $6$ $6$ $C_6\times C_2$ (as 12T2) $[\ ]$ $[\ ]_{2}^{6}$ $t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ $x^{2} + 3$
3.12.18.51 $x^{12} + 48 x^{10} + 108 x^{8} + 24 x^{6} + 108 x^{5} - 72 x^{4} + 108 x^{3} + 117$ $3$ $6$ $2$ $18$ $C_6\times C_2$ (as 12T2) $[2]$ $[2]_{2}^{2}$ $t^{2} + 2 t + 2$ $x^{6} + \left(6 t + 6\right) x^{5} + 6 x^{4} + \left(6 t + 6\right) x^{3} + 9 t + 3$
3.12.18.75 $x^{12} + 12 x^{10} + 36 x^{8} - 30 x^{6} - 180 x^{4} + 549$ $3$ $6$ $2$ $18$ $C_6\times C_2$ (as 12T2) $[2]$ $[2]_{2}^{2}$ $t^{2} + 2 t + 2$ $x^{6} + 6 x^{4} + 18 t + 3$
3.12.18.82 $x^{12} + 24 x^{11} + 252 x^{10} + 1558 x^{9} + 6450 x^{8} + 19068 x^{7} + 41627 x^{6} + 68094 x^{5} + 83298 x^{4} + 74306 x^{3} + 45618 x^{2} + 17400 x + 3277$ $3$ $6$ $2$ $18$ $C_6\times C_2$ (as 12T2) $[2]$ $[2]_{2}^{2}$ $t^{2} + 2 t + 2$ $x^{6} + 6 x^{5} + 6 x^{4} + 3 x^{3} + 3$
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