$p$-adic field search results

Results (24 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
2.12.26.122	$12$	$x^{12} + 4 x^{11} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 6$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 6$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.26.20	$12$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 10$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 10$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.26.23	$12$	$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{6} + 4 x^{3} + 2$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{6} + 4 x^{3} + 2$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.26.47	$12$	$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{3} + 6$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{3} + 6$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.26.63	$12$	$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{3} + 14$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{3} + 14$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.26.74	$12$	$x^{12} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.26.77	$12$	$x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.26.90	$12$	$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$	$2$	$12$	$1$	$26$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[2, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$	$[15, 6, 0]$	$[1, 1, 2]$
2.12.28.104	$12$	$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.15	$12$	$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.152	$12$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.164	$12$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.171	$12$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.208	$12$	$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.216	$12$	$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.220	$12$	$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.233	$12$	$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.234	$12$	$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.235	$12$	$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 2$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 2$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.239	$12$	$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.240	$12$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.256	$12$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.72	$12$	$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$	$[17, 10, 0]$	$[1, 1, 2]$
2.12.28.77	$12$	$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$2$	$12$	$1$	$28$	$C_2^2\wr S_3$ (as 12T139)	$2$	$3$	$[8/3, 3]$	$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$	$t + 1$	$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$	$[17, 10, 0]$	$[1, 1, 2]$