$p$-adic field search results

Results (7 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
13.4.0.1	$4$	$x^{4} + 3 x^{2} + 12 x + 2$	$13$	$1$	$4$	$0$	$C_4$ (as 4T1)	$4$	$1$	$[\ ]$	$[\ ]^{4}$	$t^{4} + 3 t^{2} + 12 t + 2$	$x - 13$	$[0]$	$[]$
13.4.2.1	$4$	$x^{4} + 284 x^{3} + 21754 x^{2} + 225780 x + 59193$	$13$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 12 t + 2$	$x^{2} + 130 x + 13$	$[0]$	$[1]$
13.4.2.2	$4$	$x^{4} - 156 x^{2} + 338$	$13$	$2$	$2$	$2$	$C_4$ (as 4T1)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 12 t + 2$	$x^{2} + 13 t$	$[0]$	$[1]$
13.4.3.1	$4$	$x^{4} + 52$	$13$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 11$	$x^{4} + 52$	$[0]$	$[1]$
13.4.3.2	$4$	$x^{4} + 13$	$13$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 11$	$x^{4} + 13$	$[0]$	$[1]$
13.4.3.3	$4$	$x^{4} + 26$	$13$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 11$	$x^{4} + 26$	$[0]$	$[1]$
13.4.3.4	$4$	$x^{4} + 91$	$13$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 11$	$x^{4} + 91$	$[0]$	$[1]$