$p$-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
3.10.0.1	$10$	x^10 + 2x^6 + 2x^5 + 2x^4 + x + 2	$3$	$1$	$10$	$0$	$C_{10}$ (as 10T1)	$10$	$1$	$[\ ]$	$[\ ]^{10}$	$[0]$	$[]$
3.10.5.1	$10$	x^10 + 162x^2 - 243	$3$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
3.10.5.2	$10$	x^10 + 15x^8 + 94x^6 + 2x^5 + 210x^4 - 60x^3 + 229x^2 + 94x + 364	$3$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
3.10.8.1	$10$	x^10 + 10x^9 + 50x^8 + 160x^7 + 360x^6 + 598x^5 + 750x^4 + 640x^3 + 280x^2 + 40x + 17	$3$	$5$	$2$	$8$	$F_5$ (as 10T4)	$4$	$5$	$[\ ]$	$[\ ]_{5}^{4}$	$[0]$	$[2]$
3.10.9.1	$10$	x^10 + 6	$3$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$
3.10.9.2	$10$	x^10 + 3	$3$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$