$p$-adic field search results

Results (3 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
23.9.0.1	$9$	$x^{9} + 3 x^{3} + 8 x^{2} + 9 x + 18$	$23$	$1$	$9$	$0$	$C_9$ (as 9T1)	$9$	$1$	$[\ ]$	$[\ ]^{9}$	$t^{9} + 3 t^{3} + 8 t^{2} + 9 t + 18$	$x - 23$	$[0]$	$[]$
23.9.6.1	$9$	$x^{9} + 6 x^{7} + 123 x^{6} + 12 x^{5} + 78 x^{4} - 6127 x^{3} + 492 x^{2} - 6888 x + 69105$	$23$	$3$	$3$	$6$	$S_3\times C_3$ (as 9T4)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$t^{3} + 2 t + 18$	$x^{3} + 23$	$[0]$	$[2]$
23.9.8.1	$9$	$x^{9} + 23$	$23$	$9$	$1$	$8$	$(C_9:C_3):C_2$ (as 9T10)	$6$	$9$	$[\ ]$	$[\ ]_{9}^{6}$	$t + 18$	$x^{9} + 23$	$[0]$	$[6]$