$p$-adic field search results

Degree	Discriminant exponent	Galois group
Residue characteristic	Ramification index	Top slope

Results (12 matches)

 

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
13.6.0.1	x^6 + x^2 - 2x + 2	$13$	$1$	$6$	$0$	$C_6$ (as 6T1)	$ [\ ]^{6}$
13.6.3.1	x^6 - 52x^4 + 676x^2 - 79092	$13$	$2$	$3$	$3$	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
13.6.3.2	x^6 - 338x^2 + 13182	$13$	$2$	$3$	$3$	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
13.6.4.1	x^6 + 39x^3 + 676	$13$	$3$	$2$	$4$	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
13.6.4.2	x^6 - 13x^3 + 338	$13$	$3$	$2$	$4$	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
13.6.4.3	x^6 + 65x^3 + 1352	$13$	$3$	$2$	$4$	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
13.6.5.1	x^6 - 52	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
13.6.5.2	x^6 - 13	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
13.6.5.3	x^6 - 208	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
13.6.5.4	x^6 + 26	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
13.6.5.5	x^6 + 104	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
13.6.5.6	x^6 + 416	$13$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$