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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.35.1057 $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 26$
2.12.35.108 $x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$
2.12.35.1085 $x^{12} + 8 x^{10} + 8 x^{9} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{9} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$
2.12.35.123 $x^{12} + 8 x^{11} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.129 $x^{12} + 8 x^{9} + 8 x^{7} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{9} + 8 x^{7} + 8 x + 10$
2.12.35.141 $x^{12} + 8 x^{8} + 8 x^{7} + 8 x + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{8} + 8 x^{7} + 8 x + 26$
2.12.35.161 $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$
2.12.35.163 $x^{12} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 18$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 18$
2.12.35.175 $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 26$
2.12.35.181 $x^{12} + 8 x^{10} + 8 x^{7} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{7} + 8 x + 10$
2.12.35.20 $x^{12} + 8 x^{9} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{9} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 26$
2.12.35.252 $x^{12} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$
2.12.35.272 $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 26$
2.12.35.290 $x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 8 x + 10$
2.12.35.292 $x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.300 $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 6$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 6$
2.12.35.305 $x^{12} + 8 x^{10} + 12 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 12 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$
2.12.35.344 $x^{12} + 8 x^{10} + 8 x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$
2.12.35.372 $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x + 10$
2.12.35.401 $x^{12} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 26$
2.12.35.45 $x^{12} + 8 x^{11} + 8 x^{10} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{10} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$
2.12.35.459 $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$
2.12.35.478 $x^{12} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 10$
2.12.35.498 $x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{7} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{7} + 8 x + 10$
2.12.35.527 $x^{12} + 8 x^{10} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 6$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 6$
2.12.35.533 $x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x + 10$
2.12.35.537 $x^{12} + 8 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 18$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 18$
2.12.35.539 $x^{12} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.543 $x^{12} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.610 $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{3} + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{3} + 10$
2.12.35.616 $x^{12} + 8 x^{10} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 12 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 22$
2.12.35.62 $x^{12} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 26$
2.12.35.640 $x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 18$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 18$
2.12.35.645 $x^{12} + 8 x^{11} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 26$
2.12.35.662 $x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 26$
2.12.35.678 $x^{12} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$
2.12.35.71 $x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.734 $x^{12} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 18$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 18$
2.12.35.785 $x^{12} + 4 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 2$
2.12.35.824 $x^{12} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 8 x + 10$
2.12.35.838 $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$
2.12.35.869 $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 26$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 26$
2.12.35.904 $x^{12} + 8 x^{11} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.913 $x^{12} + 8 x^{11} + 8 x^{10} + 12 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{11} + 8 x^{10} + 12 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$
2.12.35.916 $x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.929 $x^{12} + 8 x^{9} + 12 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[4/3, 4/3, 3, 19/6, 19/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{9} + 12 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$
2.12.35.93 $x^{12} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 22$
2.12.35.983 $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $35$ $C_2^4:D_{12}$ (as 12T154) $[3, 4]$ $[8/3, 8/3, 3, 23/6, 23/6, 4]_{3}^{2}$ $t + 1$ $x^{12} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{2} + 8 x + 10$
  displayed columns for results