$p$-adic field search results

Results (9 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
13.14.0.1	$14$	x^14 + 4x^7 + 6x^5 + 11x^4 + 7x^3 + 10x^2 + 10x + 2	$13$	$1$	$14$	$0$	$C_{14}$ (as 14T1)	$14$	$1$	$[\ ]$	$[\ ]^{14}$	$[0]$	$[]$
13.14.7.1	$14$	x^14 + 910x^13 + 354991x^12 + 76965980x^11 + 10019422049x^10 + 783716146850x^9 + 34178120507901x^8 + 647835779318542x^7 + 444315567676253x^6 + 132448262974664x^5 + 22043433979203x^4 + 4640995086910x^3 + 109804606053970x^2 + 2252387433208628x + 7052605388282809	$13$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
13.14.7.2	$14$	x^14 + 14480427x^2 - 690233687	$13$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
13.14.12.1	$14$	x^14 + 84x^13 + 3038x^12 + 61488x^11 + 756084x^10 + 5714352x^9 + 25377688x^8 + 58198682x^7 + 50756468x^6 + 22895628x^5 + 6802152x^4 + 9898168x^3 + 63376432x^2 + 249556496x + 421775625	$13$	$7$	$2$	$12$	$D_{7}$ (as 14T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$[0]$	$[1]$
13.14.12.2	$14$	x^14 - 728x^7 - 11154	$13$	$7$	$2$	$12$	$C_7 \wr C_2$ (as 14T8)	$14$	$7$	$[\ ]$	$[\ ]_{7}^{14}$	$[0]$	$[1]$
13.14.12.3	$14$	x^14 - 1716x^7 - 91260	$13$	$7$	$2$	$12$	$C_7 \wr C_2$ (as 14T8)	$14$	$7$	$[\ ]$	$[\ ]_{7}^{14}$	$[0]$	$[1]$
13.14.12.4	$14$	x^14 - 1586x^7 - 198575	$13$	$7$	$2$	$12$	$C_7 \wr C_2$ (as 14T8)	$14$	$7$	$[\ ]$	$[\ ]_{7}^{14}$	$[0]$	$[1]$
13.14.13.1	$14$	x^14 + 13	$13$	$14$	$1$	$13$	$D_{14}$ (as 14T3)	$2$	$14$	$[\ ]$	$[\ ]_{14}^{2}$	$[0]$	$[2]$
13.14.13.2	$14$	x^14 + 26	$13$	$14$	$1$	$13$	$D_{14}$ (as 14T3)	$2$	$14$	$[\ ]$	$[\ ]_{14}^{2}$	$[0]$	$[2]$