Local number field search results

Degree	Discriminant exponent $c$	Galois group
Prime $p$	Ramification index $e$	Top slope

Results (displaying all 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}$