$p$-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
3.3.0.1	$3$	$x^{3} + 2 x + 1$	$3$	$1$	$3$	$0$	$C_3$ (as 3T1)	$3$	$1$	$[\ ]$	$[\ ]^{3}$	$t^{3} + 2 t + 1$	$x - 3$	$[0]$	$[]$
3.3.3.1	$3$	$x^{3} + 6 x + 3$	$3$	$3$	$1$	$3$	$S_3$ (as 3T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 1$	$x^{3} + 6 x + 3$	$[1, 0]$	$[1]$
3.3.3.2	$3$	$x^{3} + 3 x + 3$	$3$	$3$	$1$	$3$	$S_3$ (as 3T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 1$	$x^{3} + 3 x + 3$	$[1, 0]$	$[1]$
3.3.4.1	$3$	$x^{3} + 6 x^{2} + 21$	$3$	$3$	$1$	$4$	$C_3$ (as 3T1)	$1$	$1$	$[2]$	$[2]$	$t + 1$	$x^{3} + 6 x^{2} + 21$	$[2, 0]$	$[1]$
3.3.4.2	$3$	$x^{3} + 6 x^{2} + 3$	$3$	$3$	$1$	$4$	$C_3$ (as 3T1)	$1$	$1$	$[2]$	$[2]$	$t + 1$	$x^{3} + 6 x^{2} + 3$	$[2, 0]$	$[1]$
3.3.4.3	$3$	$x^{3} + 6 x^{2} + 12$	$3$	$3$	$1$	$4$	$C_3$ (as 3T1)	$1$	$1$	$[2]$	$[2]$	$t + 1$	$x^{3} + 6 x^{2} + 12$	$[2, 0]$	$[1]$
3.3.4.4	$3$	$x^{3} + 3 x^{2} + 3$	$3$	$3$	$1$	$4$	$S_3$ (as 3T2)	$2$	$1$	$[2]$	$[2]^{2}$	$t + 1$	$x^{3} + 3 x^{2} + 3$	$[2, 0]$	$[2]$
3.3.5.1	$3$	$x^{3} + 3$	$3$	$3$	$1$	$5$	$S_3$ (as 3T2)	$1$	$2$	$[5/2]$	$[5/2]_{2}$	$t + 1$	$x^{3} + 3$	$[3, 0]$	$[1]$
3.3.5.2	$3$	$x^{3} + 18 x + 3$	$3$	$3$	$1$	$5$	$S_3$ (as 3T2)	$1$	$2$	$[5/2]$	$[5/2]_{2}$	$t + 1$	$x^{3} + 18 x + 3$	$[3, 0]$	$[1]$
3.3.5.3	$3$	$x^{3} + 9 x + 3$	$3$	$3$	$1$	$5$	$S_3$ (as 3T2)	$1$	$2$	$[5/2]$	$[5/2]_{2}$	$t + 1$	$x^{3} + 9 x + 3$	$[3, 0]$	$[1]$