$p$-adic field search results

Results (7 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
11.6.0.1	$6$	$x^{6} + 3 x^{4} + 4 x^{3} + 6 x^{2} + 7 x + 2$	$11$	$1$	$6$	$0$	$C_6$ (as 6T1)	$6$	$1$	$[\ ]$	$[\ ]^{6}$	$t^{6} + 3 t^{4} + 4 t^{3} + 6 t^{2} + 7 t + 2$	$x - 11$	$[0]$	$[]$
11.6.3.1	$6$	$x^{6} + 242 x^{2} - 11979$	$11$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$t^{3} + 2 t + 9$	$x^{2} + 11 t$	$[0]$	$[1]$
11.6.3.2	$6$	$x^{6} + 37 x^{4} + 18 x^{3} + 367 x^{2} - 558 x + 972$	$11$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$t^{3} + 2 t + 9$	$x^{2} + 11$	$[0]$	$[1]$
11.6.4.1	$6$	$x^{6} + 21 x^{5} + 153 x^{4} + 449 x^{3} + 537 x^{2} + 1569 x + 3440$	$11$	$3$	$2$	$4$	$S_3$ (as 6T2)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$t^{2} + 7 t + 2$	$x^{3} + 11$	$[0]$	$[1]$
11.6.4.2	$6$	$x^{6} - 110 x^{3} - 16819$	$11$	$3$	$2$	$4$	$S_3\times C_3$ (as 6T5)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$t^{2} + 7 t + 2$	$x^{3} + 44 t + 99$	$[0]$	$[1]$
11.6.5.1	$6$	$x^{6} + 22$	$11$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$t + 9$	$x^{6} + 22$	$[0]$	$[2]$
11.6.5.2	$6$	$x^{6} + 11$	$11$	$6$	$1$	$5$	$D_{6}$ (as 6T3)	$2$	$6$	$[\ ]$	$[\ ]_{6}^{2}$	$t + 9$	$x^{6} + 11$	$[0]$	$[2]$