$p$-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
2.8.10.1	$8$	$x^{8} + 2 x^{3} + 2$	$2$	$8$	$1$	$10$	$C_2^3:(C_7: C_3)$ (as 8T36)	$3$	$7$	$[10/7, 10/7, 10/7]$	$[10/7, 10/7, 10/7]_{7}^{3}$	$t + 1$	$x^{8} + 2 x^{3} + 2$	$[3, 3, 3, 0]$	$[1]$
2.8.10.2	$8$	$x^{8} + 2 x^{3} + 2 x^{2} + 2$	$2$	$8$	$1$	$10$	$\textrm{GL(2,3)}$ (as 8T23)	$2$	$3$	$[4/3, 4/3, 3/2]$	$[4/3, 4/3, 3/2]_{3}^{2}$	$t + 1$	$x^{8} + 2 x^{3} + 2 x^{2} + 2$	$[3, 2, 2, 0]$	$[1, 1]$
2.8.10.3	$8$	$x^{8} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2$	$2$	$8$	$1$	$10$	$\textrm{GL(2,3)}$ (as 8T23)	$2$	$3$	$[4/3, 4/3, 3/2]$	$[4/3, 4/3, 3/2]_{3}^{2}$	$t + 1$	$x^{8} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2$	$[3, 2, 2, 0]$	$[1, 1]$