$p$-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
17.4.0.1	$4$	$x^{4} + 7 x^{2} + 10 x + 3$	$17$	$1$	$4$	$0$	$C_4$ (as 4T1)	$4$	$1$	$[\ ]$	$[\ ]^{4}$	$t^{4} + 7 t^{2} + 10 t + 3$	$x - 17$	$[0]$	$[]$
17.4.2.1	$4$	$x^{4} + 338 x^{3} + 31049 x^{2} + 420472 x + 123735$	$17$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 16 t + 3$	$x^{2} + 153 x + 17$	$[0]$	$[1]$
17.4.2.2	$4$	$x^{4} - 272 x^{2} + 867$	$17$	$2$	$2$	$2$	$C_4$ (as 4T1)	$2$	$2$	$[\ ]$	$[\ ]_{2}^{2}$	$t^{2} + 16 t + 3$	$x^{2} + 17 t$	$[0]$	$[1]$
17.4.3.1	$4$	$x^{4} + 17$	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 14$	$x^{4} + 17$	$[0]$	$[1]$
17.4.3.2	$4$	$x^{4} + 34$	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 14$	$x^{4} + 34$	$[0]$	$[1]$
17.4.3.3	$4$	$x^{4} + 51$	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 14$	$x^{4} + 51$	$[0]$	$[1]$
17.4.3.4	$4$	$x^{4} + 102$	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$1$	$4$	$[\ ]$	$[\ ]_{4}$	$t + 14$	$x^{4} + 102$	$[0]$	$[1]$