$p$-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
23.8.0.1	$8$	x^8 + 3x^4 + 20x^3 + 5x^2 + 3x + 5	$23$	$1$	$8$	$0$	$C_8$ (as 8T1)	$8$	$1$	$[\ ]$	$[\ ]^{8}$	$[0]$	$[]$
23.8.4.1	$8$	x^8 + 98x^6 + 38x^5 + 3331x^4 - 1634x^3 + 44919x^2 - 57494x + 224528	$23$	$2$	$4$	$4$	$C_4\times C_2$ (as 8T2)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
23.8.4.2	$8$	x^8 + 1587x^4 - 231173x^2 + 1399205	$23$	$2$	$4$	$4$	$C_8$ (as 8T1)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
23.8.6.1	$8$	x^8 - 138x^4 - 217948	$23$	$4$	$2$	$6$	$Q_8$ (as 8T5)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
23.8.6.2	$8$	x^8 + 84x^7 + 2666x^6 + 38304x^5 + 221137x^4 + 193452x^3 + 126128x^2 + 833532x + 4272507	$23$	$4$	$2$	$6$	$D_4$ (as 8T4)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
23.8.6.3	$8$	x^8 - 483x^4 + 2645	$23$	$4$	$2$	$6$	$C_8:C_2$ (as 8T7)	$4$	$4$	$[\ ]$	$[\ ]_{4}^{4}$	$[0]$	$[1]$
23.8.7.1	$8$	x^8 + 23	$23$	$8$	$1$	$7$	$D_{8}$ (as 8T6)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$
23.8.7.2	$8$	x^8 + 115	$23$	$8$	$1$	$7$	$D_{8}$ (as 8T6)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$