$p$-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
2.4.4.5	$4$	$x^{4} + 2 x + 2$	$2$	$4$	$1$	$4$	$S_4$ (as 4T5)	$2$	$3$	$[4/3, 4/3]$	$[4/3, 4/3]_{3}^{2}$	$t + 1$	$x^{4} + 2 x + 2$	$[1, 1, 0]$	$[1]$
2.4.8.7	$4$	$x^{4} + 4 x^{2} + 4 x + 2$	$2$	$4$	$1$	$8$	$S_4$ (as 4T5)	$2$	$3$	$[8/3, 8/3]$	$[8/3, 8/3]_{3}^{2}$	$t + 1$	$x^{4} + 4 x^{2} + 4 x + 2$	$[5, 4, 0]$	$[1]$
2.4.8.8	$4$	$x^{4} + 4 x + 2$	$2$	$4$	$1$	$8$	$S_4$ (as 4T5)	$2$	$3$	$[8/3, 8/3]$	$[8/3, 8/3]_{3}^{2}$	$t + 1$	$x^{4} + 4 x + 2$	$[5, 4, 0]$	$[1]$