$p$-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
23.6.0.1	$6$	x^6 + x^4 + 9x^3 + 9x^2 + x + 5	$23$	$1$	$6$	$0$	$C_6$ (as 6T1)	$6$	$1$	$[\ ]$	$[\ ]^{6}$	$[0]$	$[]$
23.6.3.1	$6$	x^6 + 1058x^2 - 219006	$23$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
23.6.3.2	$6$	x^6 + 73x^4 + 36x^3 + 1591x^2 - 2412x + 10467	$23$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
23.6.4.1	$6$	x^6 + 63x^5 + 1338x^4 + 9937x^3 + 8139x^2 + 31314x + 206412	$23$	$3$	$2$	$4$	$S_3$ (as 6T2)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$[0]$	$[1]$
23.6.4.2	$6$	x^6 - 483x^3 + 2645	$23$	$3$	$2$	$4$	$S_3\times C_3$ (as 6T5)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$[0]$	$[1]$
23.6.5.1	$6$	x^6 + 115	$23$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$
23.6.5.2	$6$	x^6 + 23	$23$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$