$p$-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
13.9.0.1	$9$	$x^{9} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 12 x + 11$	$13$	$1$	$9$	$0$	$C_9$ (as 9T1)	$9$	$1$	$[\ ]$	$[\ ]^{9}$	$t^{9} + 12 t^{4} + 8 t^{3} + 12 t^{2} + 12 t + 11$	$x - 13$	$[0]$	$[]$
13.9.6.1	$9$	$x^{9} + 6 x^{7} + 72 x^{6} + 12 x^{5} + 54 x^{4} - 2125 x^{3} + 288 x^{2} - 2160 x + 13928$	$13$	$3$	$3$	$6$	$C_3^2$ (as 9T2)	$3$	$3$	$[\ ]$	$[\ ]_{3}^{3}$	$t^{3} + 2 t + 11$	$x^{3} + 13$	$[0]$	$[1]$
13.9.6.2	$9$	$x^{9} - 52 x^{6} + 676 x^{3} + 265837$	$13$	$3$	$3$	$6$	$C_9$ (as 9T1)	$3$	$3$	$[\ ]$	$[\ ]_{3}^{3}$	$t^{3} + 2 t + 11$	$x^{3} + 13 t^{2}$	$[0]$	$[1]$
13.9.6.3	$9$	$x^{9} + 338 x^{3} - 24167$	$13$	$3$	$3$	$6$	$C_9$ (as 9T1)	$3$	$3$	$[\ ]$	$[\ ]_{3}^{3}$	$t^{3} + 2 t + 11$	$x^{3} + 13 t$	$[0]$	$[1]$
13.9.8.1	$9$	$x^{9} + 26$	$13$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$3$	$9$	$[\ ]$	$[\ ]_{9}^{3}$	$t + 11$	$x^{9} + 26$	$[0]$	$[3]$
13.9.8.2	$9$	$x^{9} + 13$	$13$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$3$	$9$	$[\ ]$	$[\ ]_{9}^{3}$	$t + 11$	$x^{9} + 13$	$[0]$	$[3]$
13.9.8.3	$9$	$x^{9} + 52$	$13$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$3$	$9$	$[\ ]$	$[\ ]_{9}^{3}$	$t + 11$	$x^{9} + 52$	$[0]$	$[3]$