$p$-adic field search results

Degree	Discriminant exponent	Galois group
Residue characteristic	Ramification index	Top slope

Results (7 matches)

 

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
17.4.0.1	x^4 - x + 11	$17$	$1$	$4$	$0$	$C_4$ (as 4T1)	$ [\ ]^{4}$
17.4.2.1	x^4 + 85x^2 + 2601	$17$	$2$	$2$	$2$	$C_2^2$ (as 4T2)	$ [\ ]_{2}^{2}$
17.4.2.2	x^4 - 17x^2 + 867	$17$	$2$	$2$	$2$	$C_4$ (as 4T1)	$ [\ ]_{2}^{2}$
17.4.3.1	x^4 - 17	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$ [\ ]_{4}$
17.4.3.2	x^4 - 153	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$ [\ ]_{4}$
17.4.3.3	x^4 + 51	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$ [\ ]_{4}$
17.4.3.4	x^4 + 459	$17$	$4$	$1$	$3$	$C_4$ (as 4T1)	$ [\ ]_{4}$