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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.18.76 $x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ $2$ $12$ $1$ $18$ $C_4^2:D_6$ (as 12T95) $[4/3, 2]$ $[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$
2.12.18.77 $x^{12} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ $2$ $12$ $1$ $18$ $C_4^2:D_6$ (as 12T95) $[4/3, 2]$ $[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$
2.12.22.121 $x^{12} + 2 x^{11} + 4 x^{7} + 6 x^{6} + 6 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$ $2$ $12$ $1$ $22$ $C_4^2:D_6$ (as 12T95) $[4/3, 8/3]$ $[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 4 x^{7} + 6 x^{6} + 6 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$
2.12.22.137 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 2$ $2$ $12$ $1$ $22$ $C_4^2:D_6$ (as 12T95) $[4/3, 8/3]$ $[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 2$
2.12.24.326 $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 4 x + 6$
2.12.24.347 $x^{12} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 4 x + 6$
2.12.24.355 $x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 4 x + 6$
2.12.24.357 $x^{12} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$
2.12.24.368 $x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$
2.12.24.434 $x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 4 x + 2$
2.12.24.435 $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 2 x^{2} + 4 x + 14$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 2 x^{2} + 4 x + 14$
2.12.24.445 $x^{12} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 4 x + 10$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T95) $[4/3, 3]$ $[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 4 x + 10$
2.12.32.102 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{4} + 4 x^{2} + 10$
2.12.32.105 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 10$
2.12.32.174 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$
2.12.32.185 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 10$
2.12.32.220 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{5} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{5} + 4 x^{2} + 8 x + 10$
2.12.32.242 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{2} + 8 x + 10$
2.12.32.284 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 10$
2.12.32.294 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.12.32.302 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.12.32.312 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$
2.12.32.362 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.12.32.372 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.12.32.374 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$
2.12.32.385 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.12.32.454 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$
2.12.32.475 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 2$
2.12.32.476 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.12.32.479 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 4 x^{2} + 8 x + 10$
2.12.32.480 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$
2.12.32.493 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$
2.12.32.494 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{5} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{5} + 4 x^{2} + 8 x + 10$
2.12.32.529 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 10$
2.12.32.534 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.12.32.541 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{4} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T95) $[8/3, 11/3]$ $[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{4} + 12 x^{2} + 8 x + 2$
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