$p$-adic field search results

Results (6 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
3.14.0.1	$14$	x^14 + 2x^9 + x^8 + x^7 + 2x^6 + x^5 + 2x^3 + x^2 + 2	$3$	$1$	$14$	$0$	$C_{14}$ (as 14T1)	$14$	$1$	$[\ ]$	$[\ ]^{14}$	$[0]$	$[]$
3.14.7.1	$14$	x^14 - 486x^4 - 2187	$3$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
3.14.7.2	$14$	x^14 + 21x^12 + 189x^10 + 4x^9 + 945x^8 - 94x^7 + 2835x^6 - 630x^5 + 5107x^4 + 630x^3 + 5131x^2 + 1242x + 2212	$3$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
3.14.12.1	$14$	x^14 + 14x^13 + 98x^12 + 448x^11 + 1484x^10 + 3752x^9 + 7448x^8 + 11782x^7 + 14938x^6 + 15008x^5 + 11452x^4 + 6328x^3 + 2632x^2 + 896x + 185	$3$	$7$	$2$	$12$	$F_7$ (as 14T4)	$6$	$7$	$[\ ]$	$[\ ]_{7}^{6}$	$[0]$	$[3]$
3.14.13.1	$14$	x^14 + 6	$3$	$14$	$1$	$13$	$F_7 \times C_2$ (as 14T7)	$6$	$14$	$[\ ]$	$[\ ]_{14}^{6}$	$[0]$	$[6]$
3.14.13.2	$14$	x^14 + 3	$3$	$14$	$1$	$13$	$F_7 \times C_2$ (as 14T7)	$6$	$14$	$[\ ]$	$[\ ]_{14}^{6}$	$[0]$	$[6]$