$p$-adic field search results

Results (5 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
23.4.0.1	$4$	$x^{4} + 3 x^{2} + 19 x + 5$	$23$	$1$	$4$	$0$	$C_4$ (as 4T1)	$4$	$1$	$[\ ]$	$[\ ]^{4}$	$t^{4} + 3 t^{2} + 19 t + 5$	$x - 23$	$[0]$	$[]$
23.4.2.1	$4$	$x^{4} + 42 x^{3} + 497 x^{2} + 1176 x + 10467$	$23$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 21 t + 5$	$x^{2} + 23$	$[0]$	$[1]$
23.4.2.2	$4$	$x^{4} - 483 x^{2} + 2645$	$23$	$2$	$2$	$2$	$C_4$ (as 4T1)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 21 t + 5$	$x^{2} + 23 t$	$[0]$	$[1]$
23.4.3.1	$4$	$x^{4} + 23$	$23$	$4$	$1$	$3$	$D_{4}$ (as 4T3)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$t + 18$	$x^{4} + 23$	$[0]$	$[2]$
23.4.3.2	$4$	$x^{4} + 115$	$23$	$4$	$1$	$3$	$D_{4}$ (as 4T3)	$2$	$4$	$[\ ]$	$[\ ]_{4}^{2}$	$t + 18$	$x^{4} + 115$	$[0]$	$[2]$