$p$-adic field search results

Results (5 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
7.4.0.1	$4$	x^4 + 5x^2 + 4x + 3	$7$	$1$	$4$	$0$	$C_4$ (as 4T1)	$4$	$1$	$[\ ]$	$[\ ]^{4}$	$[0]$	$[]$
7.4.2.1	$4$	x^4 + 12x^3 + 56x^2 + 120x + 268	$7$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$[0]$	$[1]$
7.4.2.2	$4$	x^4 - 42x^2 + 147	$7$	$2$	$2$	$2$	$C_4$ (as 4T1)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$[0]$	$[1]$
7.4.3.1	$4$	x^4 + 7	$7$	$4$	$1$	$3$	$D_{4}$ (as 4T3)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[2]$
7.4.3.2	$4$	x^4 + 21	$7$	$4$	$1$	$3$	$D_{4}$ (as 4T3)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[2]$