$p$-adic field search results

Results (3 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
2.12.14.1	$12$	$x^{12} + 2 x^{3} + 2$	$2$	$12$	$1$	$14$	$S_4$ (as 12T8)	$2$	$3$	$[4/3, 4/3]$	$[4/3, 4/3]_{3}^{2}$	$t + 1$	$x^{12} + 2 x^{3} + 2$	$[3, 3, 0]$	$[2, 2]$
2.12.26.65	$12$	$x^{12} + 4 x^{3} + 2$	$2$	$12$	$1$	$26$	$S_4$ (as 12T8)	$2$	$3$	$[8/3, 8/3]$	$[8/3, 8/3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{3} + 2$	$[15, 12, 0]$	$[2, 2]$
2.12.26.73	$12$	$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 6$	$2$	$12$	$1$	$26$	$S_4$ (as 12T8)	$2$	$3$	$[8/3, 8/3]$	$[8/3, 8/3]_{3}^{2}$	$t + 1$	$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 6$	$[15, 12, 0]$	$[2, 2]$