$p$-adic field search results

Results (8 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Ind. of Insep.	Assoc. Inertia
11.8.0.1	$8$	x^8 + 7x^4 + 7x^3 + x^2 + 7x + 2	$11$	$1$	$8$	$0$	$C_8$ (as 8T1)	$8$	$1$	$[\ ]$	$[\ ]^{8}$	$[0]$	$[]$
11.8.4.1	$8$	x^8 + 60x^6 + 20x^5 + 970x^4 - 280x^3 + 4664x^2 - 5460x + 2325	$11$	$2$	$4$	$4$	$C_4\times C_2$ (as 8T2)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
11.8.4.2	$8$	x^8 + 968x^4 - 13310x^2 + 29282	$11$	$2$	$4$	$4$	$C_8$ (as 8T1)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
11.8.6.1	$8$	x^8 - 110x^4 - 16819	$11$	$4$	$2$	$6$	$Q_8$ (as 8T5)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
11.8.6.2	$8$	x^8 + 28x^7 + 302x^6 + 1540x^5 + 3623x^4 + 3388x^3 + 4178x^2 + 13468x + 22324	$11$	$4$	$2$	$6$	$D_4$ (as 8T4)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
11.8.6.3	$8$	x^8 - 165x^4 - 4356	$11$	$4$	$2$	$6$	$C_8:C_2$ (as 8T7)	$4$	$4$	$[\ ]$	$[\ ]_{4}^{4}$	$[0]$	$[1]$
11.8.7.1	$8$	x^8 + 11	$11$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$
11.8.7.2	$8$	x^8 + 22	$11$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$