$p$-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
19.8.0.1	$8$	x^8 + x^4 + 12x^3 + 10x^2 + 3x + 2	$19$	$1$	$8$	$0$	$C_8$ (as 8T1)	$8$	$1$	$[\ ]$	$[\ ]^{8}$	$[0]$	$[]$
19.8.4.1	$8$	x^8 + 80x^6 + 22x^5 + 2250x^4 - 792x^3 + 25817x^2 - 22946x + 107924	$19$	$2$	$4$	$4$	$C_4\times C_2$ (as 8T2)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
19.8.4.2	$8$	x^8 + 722x^4 - 75449x^2 + 260642	$19$	$2$	$4$	$4$	$C_8$ (as 8T1)	$4$	$2$	$[\ ]$	$[\ ]_{2}^{4}$	$[0]$	$[1]$
19.8.6.1	$8$	x^8 + 304x^4 - 5415	$19$	$4$	$2$	$6$	$Q_8$ (as 8T5)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
19.8.6.2	$8$	x^8 + 72x^7 + 1952x^6 + 23760x^5 + 112814x^4 + 48888x^3 + 44288x^2 + 435600x + 1945825	$19$	$4$	$2$	$6$	$D_4$ (as 8T4)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$[0]$	$[1]$
19.8.6.3	$8$	x^8 - 5510x^4 - 1650131	$19$	$4$	$2$	$6$	$C_8:C_2$ (as 8T7)	$4$	$4$	$[\ ]$	$[\ ]_{4}^{4}$	$[0]$	$[1]$
19.8.7.1	$8$	x^8 + 19	$19$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$
19.8.7.2	$8$	x^8 + 38	$19$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$[0]$	$[2]$