$p$-adic field search results

Results (7 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
5.6.0.1	$6$	x^6 + x^4 + 4x^3 + x^2 + 2	$5$	$1$	$6$	$0$	$C_6$ (as 6T1)	$6$	$1$	$[\ ]$	$[\ ]^{6}$	$[0]$	$[]$
5.6.3.1	$6$	x^6 + 60x^5 + 1221x^4 + 8846x^3 + 9864x^2 + 29208x + 29309	$5$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
5.6.3.2	$6$	x^6 + 75x^2 - 375	$5$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
5.6.4.1	$6$	x^6 + 12x^5 + 54x^4 + 122x^3 + 168x^2 + 228x + 233	$5$	$3$	$2$	$4$	$S_3$ (as 6T2)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$[0]$	$[1]$
5.6.4.2	$6$	x^6 + 10x^3 - 25	$5$	$3$	$2$	$4$	$S_3\times C_3$ (as 6T5)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$[0]$	$[1]$
5.6.5.1	$6$	x^6 + 5	$5$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$
5.6.5.2	$6$	x^6 + 10	$5$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$