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Degree Residue characteristic Galois group Galois unramified degree Assoc. Inertia
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Residue field degree Top slope Wild Visible Wild inertia subgroup
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Results (24 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.24.331 $x^{12} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_2\wr S_3$ (as 12T148) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x + 2$
2.12.24.378 $x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_2\wr S_3$ (as 12T148) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x + 6$
2.12.24.400 $x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_2\wr S_3$ (as 12T148) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 4 x + 6$
2.12.24.428 $x^{12} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_2\wr S_3$ (as 12T148) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 4 x + 2$
2.12.26.100 $x^{12} + 2 x^{10} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 6$
2.12.26.111 $x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 2$
2.12.26.115 $x^{12} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 4 x^{5} + 4 x^{3} + 2$
2.12.26.118 $x^{12} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 2$
2.12.26.13 $x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 6$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 6$
2.12.26.2 $x^{12} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 2$
2.12.26.34 $x^{12} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$
2.12.26.38 $x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$
2.12.26.51 $x^{12} + 4 x^{11} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 10$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 10$
2.12.26.61 $x^{12} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$
2.12.26.9 $x^{12} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 6$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{6} + 4 x^{3} + 4 x^{2} + 6$
2.12.26.92 $x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ $2$ $12$ $1$ $26$ $C_2\wr S_3$ (as 12T148) $[8/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$
2.12.28.130 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.135 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.185 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.201 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$
2.12.28.213 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.22 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$
2.12.28.224 $x^{12} + 6 x^{10} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.60 $x^{12} + 2 x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2\wr S_3$ (as 12T148) $[8/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$
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