$p$-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
11.6.0.1	$6$	x^6 + 3x^4 + 4x^3 + 6x^2 + 7x + 2	$11$	$1$	$6$	$0$	$C_6$ (as 6T1)	$6$	$1$	$[\ ]$	$[\ ]^{6}$	$[0]$	$[]$
11.6.3.1	$6$	x^6 + 242x^2 - 11979	$11$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
11.6.3.2	$6$	x^6 + 37x^4 + 18x^3 + 367x^2 - 558x + 972	$11$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
11.6.4.1	$6$	x^6 + 21x^5 + 153x^4 + 449x^3 + 537x^2 + 1569x + 3440	$11$	$3$	$2$	$4$	$S_3$ (as 6T2)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$[0]$	$[1]$
11.6.4.2	$6$	x^6 - 110x^3 - 16819	$11$	$3$	$2$	$4$	$S_3\times C_3$ (as 6T5)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$[0]$	$[1]$
11.6.5.1	$6$	x^6 + 22	$11$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$
11.6.5.2	$6$	x^6 + 11	$11$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$