Learn more

Refine search


Results (36 matches)

  displayed columns for results
Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.22.112 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 2$ $2$ $12$ $1$ $22$ $C_4^2:D_6$ (as 12T113) $[2, 7/3]$ $[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 2$
2.12.22.93 $x^{12} + 2 x^{11} + 2 x^{6} + 4 x^{4} + 4 x + 6$ $2$ $12$ $1$ $22$ $C_4^2:D_6$ (as 12T113) $[2, 7/3]$ $[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{6} + 4 x^{4} + 4 x + 6$
2.12.24.391 $x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T113) $[2, 8/3]$ $[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 4 x + 6$
2.12.24.436 $x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_4^2:D_6$ (as 12T113) $[2, 8/3]$ $[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.12.30.336 $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 6$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 6$
2.12.30.365 $x^{12} + 4 x^{10} + 4 x^{7} + 12 x^{2} + 6$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 4 x^{7} + 12 x^{2} + 6$
2.12.30.415 $x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 6$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 6$
2.12.30.454 $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 2$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 2$
2.12.30.483 $x^{12} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 10$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 10$
2.12.30.534 $x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 10$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 10$
2.12.30.536 $x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$
2.12.30.549 $x^{12} + 4 x^{10} + 4 x^{7} + 12 x^{2} + 2$ $2$ $12$ $1$ $30$ $C_4^2:D_6$ (as 12T113) $[3, 19/6]$ $[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 4 x^{7} + 12 x^{2} + 2$
2.12.32.126 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 2$
2.12.32.245 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x + 2$
2.12.32.28 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 10$
2.12.32.335 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 12 x^{4} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 12 x^{4} + 8 x + 10$
2.12.32.40 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 10$
2.12.32.460 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{5} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{5} + 8 x + 2$
2.12.32.495 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 10$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 10$
2.12.32.531 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 2$ $2$ $12$ $1$ $32$ $C_4^2:D_6$ (as 12T113) $[8/3, 11/3]$ $[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 2$
2.12.34.143 $x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 10$
2.12.34.149 $x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 10$
2.12.34.205 $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$
2.12.34.22 $x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$
2.12.34.255 $x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$
2.12.34.265 $x^{12} + 4 x^{11} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.12.34.268 $x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{3} + 4 x^{2} + 2$
2.12.34.303 $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.12.34.348 $x^{12} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 4 x^{2} + 10$
2.12.34.383 $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 10$
2.12.34.384 $x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.12.34.459 $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.12.34.48 $x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.12.34.5 $x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 10$
2.12.34.507 $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$
2.12.34.7 $x^{12} + 4 x^{11} + 8 x^{9} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $34$ $C_4^2:D_6$ (as 12T113) $[3, 23/6]$ $[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 8 x^{9} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 2$
  displayed columns for results