Local number field search results

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

Results (displaying both matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
19.13.0.1	x^13 - x + 4	19	1	13	0	$C_{13}$ (as 13T1)	$ [\ ]^{13}$
19.13.12.1	x^13 - 19	19	13	1	12	$F_{13}$ (as 13T6)	$ [\ ]_{13}^{12}$