$p$-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
23.10.0.1	$10$	x^10 + 17x^5 + 5x^4 + 15x^3 + 6x^2 + x + 5	$23$	$1$	$10$	$0$	$C_{10}$ (as 10T1)	$10$	$1$	$[\ ]$	$[\ ]^{10}$	$[0]$	$[]$
23.10.5.1	$10$	x^10 - 3335x^9 + 21724972x^8 + 32175051716x^7 + 187094353927946x^6 + 562900511451090140x^5 + 3155504389465566x^4 - 101811190699272x^3 - 1679305412607x^2 - 10291712457x - 115854174	$23$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
23.10.5.2	$10$	x^10 + 115x^8 + 5296x^6 + 36x^5 + 120980x^4 - 8280x^3 + 1383344x^2 + 95328x + 6509876	$23$	$2$	$5$	$5$	$C_{10}$ (as 10T1)	$5$	$2$	$[\ ]$	$[\ ]_{2}^{5}$	$[0]$	$[1]$
23.10.8.1	$10$	x^10 + 105x^9 + 4435x^8 + 94710x^7 + 1038805x^6 + 5025997x^5 + 5196440x^4 + 2466880x^3 + 2611955x^2 + 21422390x + 88673277	$23$	$5$	$2$	$8$	$F_5$ (as 10T4)	$4$	$5$	$[\ ]$	$[\ ]_{5}^{4}$	$[0]$	$[2]$
23.10.9.1	$10$	x^10 + 115	$23$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$
23.10.9.2	$10$	x^10 + 23	$23$	$10$	$1$	$9$	$F_{5}\times C_2$ (as 10T5)	$4$	$10$	$[\ ]$	$[\ ]_{10}^{4}$	$[0]$	$[4]$