$p$-adic field search results

Results (4 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
2.6.8.1	$6$	$x^{6} + 2 x^{3} + 2$	$2$	$6$	$1$	$8$	$D_{6}$ (as 6T3)	$2$	$3$	$[2]$	$[2]_{3}^{2}$	$t + 1$	$x^{6} + 2 x^{3} + 2$	$[3, 0]$	$[1, 2]$
2.6.8.2	$6$	$x^{6} + 2 x^{4} + 2 x^{3} + 2$	$2$	$6$	$1$	$8$	$S_4\times C_2$ (as 6T11)	$2$	$3$	$[2]$	$[4/3, 4/3, 2]_{3}^{2}$	$t + 1$	$x^{6} + 2 x^{4} + 2 x^{3} + 2$	$[3, 0]$	$[1, 2]$
2.6.8.3	$6$	$x^{6} + 2 x^{3} + 6$	$2$	$6$	$1$	$8$	$D_{6}$ (as 6T3)	$2$	$3$	$[2]$	$[2]_{3}^{2}$	$t + 1$	$x^{6} + 2 x^{3} + 6$	$[3, 0]$	$[1, 2]$
2.6.8.4	$6$	$x^{6} + 2 x^{4} + 2 x^{3} + 6$	$2$	$6$	$1$	$8$	$S_4\times C_2$ (as 6T11)	$2$	$3$	$[2]$	$[4/3, 4/3, 2]_{3}^{2}$	$t + 1$	$x^{6} + 2 x^{4} + 2 x^{3} + 6$	$[3, 0]$	$[1, 2]$