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
19.14.0.1	x^14 + x^2 - x + 15	19	1	14	0	$C_{14}$ (as 14T1)	$ [\ ]^{14}$
19.14.7.1	x^14 - 109744x^8 + 3010936384x^2 - 14301947824	19	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
19.14.7.2	x^14 - 376367048x^2 + 3575486956	19	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
19.14.12.1	x^14 - 19x^7 + 722	19	7	2	12	$F_7$ (as 14T4)	$ [\ ]_{7}^{6}$
19.14.13.1	x^14 - 19	19	14	1	13	$F_7 \times C_2$ (as 14T7)	$ [\ ]_{14}^{6}$
19.14.13.2	x^14 + 76	19	14	1	13	$F_7 \times C_2$ (as 14T7)	$ [\ ]_{14}^{6}$