$p$-adic field search results

Results (6 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
3.6.7.1	$6$	$x^{6} + 6 x^{2} + 6$	$3$	$6$	$1$	$7$	$S_3$ (as 6T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 1$	$x^{6} + 6 x^{2} + 6$	$[2, 0]$	$[1, 1]$
3.6.7.2	$6$	$x^{6} + 3 x^{2} + 6$	$3$	$6$	$1$	$7$	$D_{6}$ (as 6T3)	$2$	$2$	$[3/2]$	$[3/2]_{2}^{2}$	$t + 1$	$x^{6} + 3 x^{2} + 6$	$[2, 0]$	$[2, 1]$
3.6.7.3	$6$	$x^{6} + 3 x^{3} + 6 x^{2} + 6$	$3$	$6$	$1$	$7$	$S_3\times C_3$ (as 6T5)	$3$	$2$	$[3/2]$	$[3/2]_{2}^{3}$	$t + 1$	$x^{6} + 3 x^{3} + 6 x^{2} + 6$	$[2, 0]$	$[1, 1]$
3.6.7.4	$6$	$x^{6} + 3 x^{2} + 3$	$3$	$6$	$1$	$7$	$S_3$ (as 6T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 1$	$x^{6} + 3 x^{2} + 3$	$[2, 0]$	$[1, 1]$
3.6.7.5	$6$	$x^{6} + 6 x^{2} + 3$	$3$	$6$	$1$	$7$	$D_{6}$ (as 6T3)	$2$	$2$	$[3/2]$	$[3/2]_{2}^{2}$	$t + 1$	$x^{6} + 6 x^{2} + 3$	$[2, 0]$	$[2, 1]$
3.6.7.6	$6$	$x^{6} + 3 x^{3} + 3 x^{2} + 3$	$3$	$6$	$1$	$7$	$S_3\times C_3$ (as 6T5)	$3$	$2$	$[3/2]$	$[3/2]_{2}^{3}$	$t + 1$	$x^{6} + 3 x^{3} + 3 x^{2} + 3$	$[2, 0]$	$[1, 1]$