$p$-adic field search results

Results (10 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
7.7.9.1	$7$	$x^{7} + 14 x^{3} + 7$	$7$	$7$	$1$	$9$	$D_{7}$ (as 7T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 4$	$x^{7} + 14 x^{3} + 7$	$[3, 0]$	$[1]$
7.7.9.4	$7$	$x^{7} + 35 x^{3} + 7$	$7$	$7$	$1$	$9$	$D_{7}$ (as 7T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 4$	$x^{7} + 35 x^{3} + 7$	$[3, 0]$	$[1]$
7.7.12.10	$7$	$x^{7} + 7 x^{6} + 7$	$7$	$7$	$1$	$12$	$D_{7}$ (as 7T2)	$2$	$1$	$[2]$	$[2]^{2}$	$t + 4$	$x^{7} + 7 x^{6} + 7$	$[6, 0]$	$[2]$
13.7.6.1	$7$	$x^{7} + 13$	$13$	$7$	$1$	$6$	$D_{7}$ (as 7T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$t + 11$	$x^{7} + 13$	$[0]$	$[2]$
41.7.6.1	$7$	$x^{7} + 41$	$41$	$7$	$1$	$6$	$D_{7}$ (as 7T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$t + 35$	$x^{7} + 41$	$[0]$	$[2]$
83.7.6.1	$7$	$x^{7} + 83$	$83$	$7$	$1$	$6$	$D_{7}$ (as 7T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$t + 81$	$x^{7} + 83$	$[0]$	$[2]$
97.7.6.1	$7$	$x^{7} + 97$	$97$	$7$	$1$	$6$	$D_{7}$ (as 7T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$t + 92$	$x^{7} + 97$	$[0]$	$[2]$
139.7.6.1	$7$	$x^{7} + 139$	$139$	$7$	$1$	$6$	$D_{7}$ (as 7T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$t + 137$	$x^{7} + 139$	$[0]$	$[2]$
167.7.6.1	$7$	$x^{7} + 167$	$167$	$7$	$1$	$6$	$D_{7}$ (as 7T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$t + 162$	$x^{7} + 167$	$[0]$	$[2]$
181.7.6.1	$7$	$x^{7} + 181$	$181$	$7$	$1$	$6$	$D_{7}$ (as 7T2)	$2$	$7$	$[\ ]$	$[\ ]_{7}^{2}$	$t + 179$	$x^{7} + 181$	$[0]$	$[2]$