$p$-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
7.10.0.1	$10$	x^10 + x^6 + x^5 + 4x^4 + x^3 + 2x^2 + 3x + 3	$7$	$1$	$10$	$0$	$C_{10}$ (as 10T1)	$10$	$1$	$[\ ]$	$[\ ]^{10}$	$[0]$	$[]$
7.10.5.1	$10$	x^10 + 2401x^2 - 67228	$7$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
7.10.5.2	$10$	x^10 + 35x^8 + 492x^6 + 8x^5 + 3360x^4 - 560x^3 + 11516x^2 + 1968x + 17516	$7$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
7.10.8.1	$10$	x^10 + 30x^9 + 375x^8 + 2520x^7 + 9810x^6 + 22370x^5 + 29640x^4 + 24780x^3 + 21465x^2 + 33300x + 33934	$7$	$5$	$2$	$8$	$F_5$ (as 10T4)	$4$	$5$	$[\ ]$	$[\ ]_{5}^{4}$	$[0]$	$[2]$
7.10.9.1	$10$	x^10 + 21	$7$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$
7.10.9.2	$10$	x^10 + 7	$7$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$