$p$-adic field search results

Results (4 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
2.12.35.128	$12$	$x^{12} + 8 x^{11} + 4 x^{8} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 18$	$2$	$12$	$1$	$35$	$D_{12}$ (as 12T12)	$2$	$3$	$[3, 4]$	$[3, 4]_{3}^{2}$	$t + 1$	$x^{12} + 8 x^{11} + 4 x^{8} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 18$	$[24, 12, 0]$	$[1, 1, 2]$
2.12.35.204	$12$	$x^{12} + 8 x^{9} + 8 x^{3} + 26$	$2$	$12$	$1$	$35$	$D_{12}$ (as 12T12)	$2$	$3$	$[3, 4]$	$[3, 4]_{3}^{2}$	$t + 1$	$x^{12} + 8 x^{9} + 8 x^{3} + 26$	$[24, 12, 0]$	$[1, 1, 2]$
2.12.35.269	$12$	$x^{12} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$	$2$	$12$	$1$	$35$	$D_{12}$ (as 12T12)	$2$	$3$	$[3, 4]$	$[3, 4]_{3}^{2}$	$t + 1$	$x^{12} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$	$[24, 12, 0]$	$[1, 1, 2]$
2.12.35.825	$12$	$x^{12} + 8 x^{3} + 10$	$2$	$12$	$1$	$35$	$D_{12}$ (as 12T12)	$2$	$3$	$[3, 4]$	$[3, 4]_{3}^{2}$	$t + 1$	$x^{12} + 8 x^{3} + 10$	$[24, 12, 0]$	$[1, 1, 2]$