Learn more

Refine search


Results (1-50 of 64 matches)

Next   displayed columns for results
Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
3.12.16.49 $x^{12} + 3 x^{8} + 3 x^{7} + 3 x^{5} + 3 x^{3} + 6$ $3$ $12$ $1$ $16$ $C_3^4:\SD_{16}$ (as 12T212) $[13/8]$ $[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{8} + 3 x^{7} + 3 x^{5} + 3 x^{3} + 6$
3.12.16.50 $x^{12} + 3 x^{6} + 3 x^{5} + 6$ $3$ $12$ $1$ $16$ $C_3^4:\SD_{16}$ (as 12T212) $[13/8]$ $[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{6} + 3 x^{5} + 6$
3.12.16.51 $x^{12} + 3 x^{8} + 6 x^{6} + 3 x^{5} + 3$ $3$ $12$ $1$ $16$ $C_3^4:\SD_{16}$ (as 12T212) $[13/8]$ $[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{8} + 6 x^{6} + 3 x^{5} + 3$
3.12.16.52 $x^{12} + 3 x^{8} + 3 x^{6} + 3 x^{5} + 3$ $3$ $12$ $1$ $16$ $C_3^4:\SD_{16}$ (as 12T212) $[13/8]$ $[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{8} + 3 x^{6} + 3 x^{5} + 3$
3.12.18.101 $x^{12} + 3 x^{11} + 3 x^{7} + 6 x^{6} + 3$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{7} + 6 x^{6} + 3$
3.12.18.102 $x^{12} + 3 x^{9} + 3 x^{7} + 6 x^{3} + 3$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{9} + 3 x^{7} + 6 x^{3} + 3$
3.12.18.103 $x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{6} + 6$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{6} + 6$
3.12.18.105 $x^{12} + 6 x^{11} + 3 x^{7} + 6 x^{6} + 6$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 3 x^{7} + 6 x^{6} + 6$
3.12.18.106 $x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{6} + 3$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{6} + 3$
3.12.18.90 $x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 3$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 3$
3.12.18.92 $x^{12} + 6 x^{11} + 6 x^{9} + 6 x^{8} + 3 x^{7} + 3 x^{6} + 6$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 6 x^{9} + 6 x^{8} + 3 x^{7} + 3 x^{6} + 6$
3.12.18.93 $x^{12} + 6 x^{11} + 6 x^{8} + 3 x^{7} + 3$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 6 x^{8} + 3 x^{7} + 3$
3.12.18.95 $x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{7} + 6$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{7} + 6$
3.12.18.97 $x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{7} + 6 x^{3} + 6$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{7} + 6 x^{3} + 6$
3.12.18.98 $x^{12} + 6 x^{11} + 3 x^{9} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 6$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 3 x^{9} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 6$
3.12.18.99 $x^{12} + 6 x^{11} + 3 x^{7} + 3 x^{6} + 3$ $3$ $12$ $1$ $18$ $C_3^4:\SD_{16}$ (as 12T212) $[15/8]$ $[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 3 x^{7} + 3 x^{6} + 3$
3.12.22.100 $x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{3} + 9 x^{2} + 21$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{3} + 9 x^{2} + 21$
3.12.22.101 $x^{12} + 6 x^{11} + 9 x^{4} + 6 x^{3} + 18 x^{2} + 3$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 9 x^{4} + 6 x^{3} + 18 x^{2} + 3$
3.12.22.102 $x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 21$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 21$
3.12.22.103 $x^{12} + 6 x^{11} + 6 x^{9} + 3 x^{6} + 15 x^{3} + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 6 x^{9} + 3 x^{6} + 15 x^{3} + 6$
3.12.22.104 $x^{12} + 3 x^{11} + 6 x^{9} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 12$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 12$
3.12.22.105 $x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{4} + 9 x^{2} + 18 x + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{4} + 9 x^{2} + 18 x + 6$
3.12.22.106 $x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x + 15$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x + 15$
3.12.22.107 $x^{12} + 3 x^{11} + 18 x^{4} + 3$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 18 x^{4} + 3$
3.12.22.108 $x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{5} + 6 x^{3} + 18 x^{2} + 21$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{5} + 6 x^{3} + 18 x^{2} + 21$
3.12.22.109 $x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{4} + 15 x^{3} + 9 x + 12$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{4} + 15 x^{3} + 9 x + 12$
3.12.22.110 $x^{12} + 3 x^{11} + 3 x^{9} + 9 x^{5} + 18 x^{3} + 9 x + 12$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{9} + 9 x^{5} + 18 x^{3} + 9 x + 12$
3.12.22.111 $x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 9 x^{3} + 18 x^{2} + 21$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 9 x^{3} + 18 x^{2} + 21$
3.12.22.112 $x^{12} + 6 x^{11} + 9 x^{5} + 18 x^{3} + 9 x + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 9 x^{5} + 18 x^{3} + 9 x + 6$
3.12.22.113 $x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 9 x + 15$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 9 x + 15$
3.12.22.114 $x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{2} + 9 x + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{2} + 9 x + 6$
3.12.22.116 $x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 15$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 15$
3.12.22.117 $x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 18 x + 12$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 18 x + 12$
3.12.22.118 $x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 15$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 15$
3.12.22.119 $x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 24$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 24$
3.12.22.120 $x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{3} + 18 x + 21$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{3} + 18 x + 21$
3.12.22.122 $x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 9 x + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 9 x + 6$
3.12.22.123 $x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{4} + 9 x^{3} + 3$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{4} + 9 x^{3} + 3$
3.12.22.124 $x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{4} + 18 x + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{4} + 18 x + 6$
3.12.22.126 $x^{12} + 6 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15$
3.12.22.127 $x^{12} + 6 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{2} + 3$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{2} + 3$
3.12.22.128 $x^{12} + 6 x^{11} + 6 x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 18 x + 21$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 6 x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 18 x + 21$
3.12.22.129 $x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 6$
3.12.22.130 $x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 18 x + 3$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 18 x + 3$
3.12.22.131 $x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{2} + 18 x + 24$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{2} + 18 x + 24$
3.12.22.132 $x^{12} + 3 x^{11} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 9 x + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 9 x + 6$
3.12.22.134 $x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 6 x^{3} + 18 x + 12$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 6 x^{3} + 18 x + 12$
3.12.22.135 $x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 6$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 6$
3.12.22.136 $x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 15 x^{3} + 9 x^{2} + 9 x + 12$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 15 x^{3} + 9 x^{2} + 9 x + 12$
3.12.22.138 $x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{2} + 12$ $3$ $12$ $1$ $22$ $C_3^4:\SD_{16}$ (as 12T212) $[19/8]$ $[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ $t + 1$ $x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{2} + 12$
Next   displayed columns for results