$p$-adic field search results

Results (10 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
3.9.13.1	$9$	$x^{9} + 6 x^{5} + 3$	$3$	$9$	$1$	$13$	$(C_3^2:C_8):C_2$ (as 9T19)	$2$	$8$	$[13/8, 13/8]$	$[13/8, 13/8]_{8}^{2}$	$t + 1$	$x^{9} + 6 x^{5} + 3$	$[5, 5, 0]$	$[1]$
3.9.13.10	$9$	$x^{9} + 6 x^{6} + 3 x^{5} + 3 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3 \wr S_3 $ (as 9T20)	$3$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{3}$	$t + 1$	$x^{9} + 6 x^{6} + 3 x^{5} + 3 x^{3} + 3$	$[5, 3, 0]$	$[1, 1]$
3.9.13.2	$9$	$x^{9} + 6 x^{5} + 3 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3^2 : D_{6} $ (as 9T18)	$2$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{2}$	$t + 1$	$x^{9} + 6 x^{5} + 3 x^{3} + 3$	$[5, 3, 0]$	$[2, 1]$
3.9.13.3	$9$	$x^{9} + 3 x^{6} + 6 x^{5} + 6 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3 \wr S_3 $ (as 9T20)	$3$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{3}$	$t + 1$	$x^{9} + 3 x^{6} + 6 x^{5} + 6 x^{3} + 3$	$[5, 3, 0]$	$[1, 1]$
3.9.13.4	$9$	$x^{9} + 6 x^{5} + 6 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3 \wr S_3 $ (as 9T20)	$3$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{3}$	$t + 1$	$x^{9} + 6 x^{5} + 6 x^{3} + 3$	$[5, 3, 0]$	$[1, 1]$
3.9.13.5	$9$	$x^{9} + 6 x^{6} + 6 x^{5} + 6 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3 \wr S_3 $ (as 9T20)	$3$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{3}$	$t + 1$	$x^{9} + 6 x^{6} + 6 x^{5} + 6 x^{3} + 3$	$[5, 3, 0]$	$[1, 1]$
3.9.13.6	$9$	$x^{9} + 3 x^{5} + 3$	$3$	$9$	$1$	$13$	$(C_3^2:C_8):C_2$ (as 9T19)	$2$	$8$	$[13/8, 13/8]$	$[13/8, 13/8]_{8}^{2}$	$t + 1$	$x^{9} + 3 x^{5} + 3$	$[5, 5, 0]$	$[1]$
3.9.13.7	$9$	$x^{9} + 3 x^{5} + 6 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3^2 : D_{6} $ (as 9T18)	$2$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{2}$	$t + 1$	$x^{9} + 3 x^{5} + 6 x^{3} + 3$	$[5, 3, 0]$	$[2, 1]$
3.9.13.8	$9$	$x^{9} + 3 x^{5} + 3 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3 \wr S_3 $ (as 9T20)	$3$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{3}$	$t + 1$	$x^{9} + 3 x^{5} + 3 x^{3} + 3$	$[5, 3, 0]$	$[1, 1]$
3.9.13.9	$9$	$x^{9} + 3 x^{6} + 3 x^{5} + 3 x^{3} + 3$	$3$	$9$	$1$	$13$	$C_3 \wr S_3 $ (as 9T20)	$3$	$2$	$[3/2, 5/3]$	$[3/2, 3/2, 5/3]_{2}^{3}$	$t + 1$	$x^{9} + 3 x^{6} + 3 x^{5} + 3 x^{3} + 3$	$[5, 3, 0]$	$[1, 1]$