$p$-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
13.10.0.1	$10$	x^10 + 7x^5 + 5x^4 + 8x^3 + x^2 + x + 2	$13$	$1$	$10$	$0$	$C_{10}$ (as 10T1)	$10$	$1$	$[\ ]$	$[\ ]^{10}$	$[0]$	$[]$
13.10.5.1	$10$	x^10 + 650x^9 + 169065x^8 + 22003800x^7 + 1434642698x^6 + 37701182242x^5 + 18651037600x^4 + 3808243140x^3 + 6315953361x^2 + 164195122608x + 421659070668	$13$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
13.10.5.2	$10$	x^10 + 114244x^2 - 4084223	$13$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
13.10.8.1	$10$	x^10 + 60x^9 + 1450x^8 + 17760x^7 + 112360x^6 + 319418x^5 + 225500x^4 + 89240x^3 + 226880x^2 + 1274440x + 3013497	$13$	$5$	$2$	$8$	$F_5$ (as 10T4)	$4$	$5$	$[\ ]$	$[\ ]_{5}^{4}$	$[0]$	$[2]$
13.10.9.1	$10$	x^10 + 13	$13$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$
13.10.9.2	$10$	x^10 + 26	$13$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$