$p$-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
3.8.0.1	$8$	x^8 + 2x^5 + x^4 + 2x^2 + 2x + 2	$3$	$1$	$8$	$0$	$C_8$ (as 8T1)	$8$	$1$	$[\ ]$	$[\ ]^{8}$	$[0]$	$[]$
3.8.4.1	$8$	x^8 + 4x^7 + 16x^6 + 36x^5 + 94x^4 + 116x^3 + 144x^2 + 36x + 229	$3$	$2$	$4$	$4$	$C_4\times C_2$ (as 8T2)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
3.8.4.2	$8$	x^8 - 6x^6 + 162	$3$	$2$	$4$	$4$	$C_8$ (as 8T1)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
3.8.6.1	$8$	x^8 + 9	$3$	$4$	$2$	$6$	$Q_8$ (as 8T5)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
3.8.6.2	$8$	x^8 + 6x^5 + 6x^4 + 18x^2 + 18x + 9	$3$	$4$	$2$	$6$	$D_4$ (as 8T4)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
3.8.6.3	$8$	x^8 - 6x^4 + 18	$3$	$4$	$2$	$6$	$C_8:C_2$ (as 8T7)	$4$	$4$	$[\ ]$	$[\ ]_{4}^{4}$	$[0]$	$[1]$
3.8.7.1	$8$	x^8 + 3	$3$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$
3.8.7.2	$8$	x^8 + 6	$3$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$