$p$-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
17.9.0.1	$9$	$x^{9} + 7 x^{2} + 8 x + 14$	$17$	$1$	$9$	$0$	$C_9$ (as 9T1)	$9$	$1$	$[\ ]$	$[\ ]^{9}$	$t^{9} + 7 t^{2} + 8 t + 14$	$x - 17$	$[0]$	$[]$
17.9.6.1	$9$	$x^{9} + 3 x^{7} + 93 x^{6} + 3 x^{5} + 33 x^{4} - 3542 x^{3} + 93 x^{2} - 1860 x + 29808$	$17$	$3$	$3$	$6$	$S_3\times C_3$ (as 9T4)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$t^{3} + t + 14$	$x^{3} + 17$	$[0]$	$[2]$
17.9.8.1	$9$	$x^{9} + 17$	$17$	$9$	$1$	$8$	$D_{9}$ (as 9T3)	$2$	$9$	$[\ ]$	$[\ ]_{9}^{2}$	$t + 14$	$x^{9} + 17$	$[0]$	$[2]$