$p$-adic field search results

Degree	Discriminant exponent	Galois group
Residue characteristic	Ramification index	Top slope

Results (5 matches)

 

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
19.4.0.1	x^4 - 2x + 10	$19$	$1$	$4$	$0$	$C_4$ (as 4T1)	$ [\ ]^{4}$
19.4.2.1	x^4 + 57x^2 + 1444	$19$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$ [\ ]_{2}^{2}$
19.4.2.2	x^4 - 19x^2 + 722	$19$	$2$	$2$	$2$	$C_4$ (as 4T1)	$ [\ ]_{2}^{2}$
19.4.3.1	x^4 + 76	$19$	$4$	$1$	$3$	$D_{4}$ (as 4T3)	$ [\ ]_{4}^{2}$
19.4.3.2	x^4 - 19	$19$	$4$	$1$	$3$	$D_{4}$ (as 4T3)	$ [\ ]_{4}^{2}$