pp-adic field search results

Results (12 matches)

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Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
13.6.0.1	$6$	$x^{6} + 10 x^{3} + 11 x^{2} + 11 x + 2$	$13$	$1$	$6$	$0$	$C_6$ (as 6T1)	$6$	$1$	$[\ ]$	$[\ ]^{6}$	$t^{6} + 10 t^{3} + 11 t^{2} + 11 t + 2$	$x - 13$	$[0]$	$[\ ]$
13.6.3.1	$6$	$x^{6} + 390 x^{5} + 50743 x^{4} + 2208202 x^{3} + 765301 x^{2} + 5017316 x + 24555184$	$13$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$t^{3} + 2 t + 11$	$x^{2} + 130 x + 13$	$[0]$	$[1]$
13.6.3.2	$6$	$x^{6} + 338 x^{2} - 24167$	$13$	$2$	$3$	$3$	$C_6$ (as 6T1)	$3$	$2$	$[\ ]$	$[\ ]_{2}^{3}$	$t^{3} + 2 t + 11$	$x^{2} + 13 t$	$[0]$	$[1]$
13.6.4.1	$6$	$x^{6} + 130 x^{3} - 1521$	$13$	$3$	$2$	$4$	$C_6$ (as 6T1)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$t^{2} + 12 t + 2$	$x^{3} + 13 t + 143$	$[0]$	$[1]$
13.6.4.2	$6$	$x^{6} - 156 x^{3} + 338$	$13$	$3$	$2$	$4$	$C_6$ (as 6T1)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$t^{2} + 12 t + 2$	$x^{3} + 13 t$	$[0]$	$[1]$
13.6.4.3	$6$	$x^{6} + 36 x^{5} + 438 x^{4} + 1898 x^{3} + 1344 x^{2} + 5604 x + 21705$	$13$	$3$	$2$	$4$	$C_6$ (as 6T1)	$2$	$3$	$[\ ]$	$[\ ]_{3}^{2}$	$t^{2} + 12 t + 2$	$x^{3} + 13$	$[0]$	$[1]$
13.6.5.1	$6$	$x^{6} + 52$	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]_{6}$	$t + 11$	$x^{6} + 52$	$[0]$	$[1]$
13.6.5.2	$6$	$x^{6} + 13$	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]_{6}$	$t + 11$	$x^{6} + 13$	$[0]$	$[1]$
13.6.5.3	$6$	$x^{6} + 39$	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]_{6}$	$t + 11$	$x^{6} + 39$	$[0]$	$[1]$
13.6.5.4	$6$	$x^{6} + 26$	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]_{6}$	$t + 11$	$x^{6} + 26$	$[0]$	$[1]$
13.6.5.5	$6$	$x^{6} + 65$	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]_{6}$	$t + 11$	$x^{6} + 65$	$[0]$	$[1]$
13.6.5.6	$6$	$x^{6} + 78$	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$1$	$6$	$[\ ]$	$[\ ]_{6}$	$t + 11$	$x^{6} + 78$	$[0]$	$[1]$

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