$p$-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
5.4.0.1	$4$	$x^{4} + 4 x^{2} + 4 x + 2$	$5$	$1$	$4$	$0$	$C_4$ (as 4T1)	$4$	$1$	$[\ ]$	$[\ ]^{4}$	$t^{4} + 4 t^{2} + 4 t + 2$	$x - 5$	$[0]$	$[]$
5.4.2.1	$4$	$x^{4} + 48 x^{3} + 670 x^{2} + 2256 x + 1449$	$5$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 4 t + 2$	$x^{2} + 20 x + 5$	$[0]$	$[1]$
5.4.2.2	$4$	$x^{4} - 20 x^{2} + 50$	$5$	$2$	$2$	$2$	$C_4$ (as 4T1)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 4 t + 2$	$x^{2} + 5 t$	$[0]$	$[1]$
5.4.3.1	$4$	$x^{4} + 20$	$5$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 3$	$x^{4} + 20$	$[0]$	$[1]$
5.4.3.2	$4$	$x^{4} + 5$	$5$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 3$	$x^{4} + 5$	$[0]$	$[1]$
5.4.3.3	$4$	$x^{4} + 10$	$5$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 3$	$x^{4} + 10$	$[0]$	$[1]$
5.4.3.4	$4$	$x^{4} + 15$	$5$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 3$	$x^{4} + 15$	$[0]$	$[1]$