$p$-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
17.6.0.1	$6$	x^6 + 2x^4 + 10x^2 + 3x + 3	$17$	$1$	$6$	$0$	$C_6$ (as 6T1)	$6$	$1$	$[\ ]$	$[\ ]^{6}$	$[0]$	$[]$
17.6.3.1	$6$	x^6 + 459x^5 + 70280x^4 + 3597823x^3 + 1271380x^2 + 4696159x + 50437479	$17$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
17.6.3.2	$6$	x^6 + 289x^2 - 68782	$17$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$[0]$	$[1]$
17.6.4.1	$6$	x^6 + 48x^5 + 879x^4 + 7682x^3 + 44916x^2 + 265428x + 127425	$17$	$3$	$2$	$4$	$S_3$ (as 6T2)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$[0]$	$[1]$
17.6.4.2	$6$	x^6 + 204x^3 - 7225	$17$	$3$	$2$	$4$	$S_3\times C_3$ (as 6T5)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$[0]$	$[1]$
17.6.5.1	$6$	x^6 + 17	$17$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$
17.6.5.2	$6$	x^6 + 51	$17$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$[0]$	$[2]$