Local number field search results

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

Results (displaying all 4 matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
2.15.0.1	x^15 - x + 1	2	1	15	0	$C_{15}$ (as 15T1)	$ [\ ]^{15}$
2.15.10.1	x^15 + 8x^6 + 32	2	3	5	10	$S_3 \times C_5$ (as 15T4)	$ [\ ]_{3}^{10}$
2.15.12.1	x^15 - 4x^5 + 8	2	5	3	12	$F_5\times C_3$ (as 15T8)	$ [\ ]_{5}^{12}$
2.15.14.1	x^15 - 2	2	15	1	14	$C_{15} : C_4$ (as 15T6)	$ [\ ]_{15}^{4}$