$p$-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
5.14.0.1	$14$	x^14 + x^8 + 4x^6 + 4x^5 + 2x^4 + 3x^3 + x + 2	$5$	$1$	$14$	$0$	$C_{14}$ (as 14T1)	$14$	$1$	$[\ ]$	$[\ ]^{14}$	$[0]$	$[]$
5.14.7.1	$14$	x^14 + 140x^13 + 8435x^12 + 284200x^11 + 5810525x^10 + 72852500x^9 + 534104381x^8 + 1994350486x^7 + 2670547075x^6 + 1822151870x^5 + 743294125x^4 + 386790250x^3 + 1508497384x^2 + 5074882448x + 4401772109	$5$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
5.14.7.2	$14$	x^14 + 46875x^2 - 234375	$5$	$2$	$7$	$7$	$C_{14}$ (as 14T1)	$7$	$2$	$[\ ]$	$[\ ]_{2}^{7}$	$[0]$	$[1]$
5.14.12.1	$14$	x^14 + 28x^13 + 350x^12 + 2576x^11 + 12404x^10 + 41104x^9 + 96152x^8 + 160650x^7 + 192444x^6 + 165676x^5 + 106232x^4 + 65016x^3 + 59920x^2 + 57232x + 27193	$5$	$7$	$2$	$12$	$F_7$ (as 14T4)	$6$	$7$	$[\ ]$	$[\ ]_{7}^{6}$	$[0]$	$[3]$
5.14.13.1	$14$	x^14 + 5	$5$	$14$	$1$	$13$	$F_7 \times C_2$ (as 14T7)	$6$	$14$	$[\ ]$	$[\ ]_{14}^{6}$	$[0]$	$[6]$
5.14.13.2	$14$	x^14 + 10	$5$	$14$	$1$	$13$	$F_7 \times C_2$ (as 14T7)	$6$	$14$	$[\ ]$	$[\ ]_{14}^{6}$	$[0]$	$[6]$