Local Number Field Search Results

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

Results (displaying all 6 matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
17.14.0.1	x^14 + x^2 - 2x + 6	17	1	14	0	$C_{14}$ (as 14T1)	$ [\ ]^{14}$
17.14.7.1	x^14 - 9826x^8 + 24137569x^2 - 3693048057	17	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
17.14.7.2	x^14 - 24137569x^2 + 1231016019	17	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
17.14.12.1	x^14 - 17x^7 + 867	17	7	2	12	$F_7$ (as 14T4)	$ [\ ]_{7}^{6}$
17.14.13.1	x^14 - 17	17	14	1	13	$F_7 \times C_2$ (as 14T7)	$ [\ ]_{14}^{6}$
17.14.13.2	x^14 + 51	17	14	1	13	$F_7 \times C_2$ (as 14T7)	$ [\ ]_{14}^{6}$