$p$-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
19.6.0.1	x^6 - x + 3	$19$	$1$	$6$	$0$	$C_6$ (as 6T1)	$ [\ ]^{6}$
19.6.3.1	x^6 - 38x^4 + 361x^2 - 109744	$19$	$2$	$3$	$3$	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
19.6.3.2	x^6 - 361x^2 + 27436	$19$	$2$	$3$	$3$	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
19.6.4.1	x^6 + 57x^3 + 1444	$19$	$3$	$2$	$4$	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
19.6.4.2	x^6 - 19x^3 + 722	$19$	$3$	$2$	$4$	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
19.6.4.3	x^6 + 95x^3 + 2888	$19$	$3$	$2$	$4$	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
19.6.5.1	x^6 - 304	$19$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.2	x^6 - 19	$19$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.3	x^6 - 4864	$19$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.4	x^6 + 76	$19$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.5	x^6 + 1216	$19$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.6	x^6 + 19456	$19$	$6$	$1$	$5$	$C_6$ (as 6T1)	$ [\ ]_{6}$