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
13.10.0.1	x^10 + 2x^2 - 2x + 2	13	1	10	0	$C_{10}$ (as 10T1)	$ [\ ]^{10}$
13.10.5.1	x^10 - 676x^6 + 114244x^2 - 13366548	13	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
13.10.5.2	x^10 - 57122x^2 + 2227758	13	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
13.10.8.1	x^10 - 13x^5 + 338	13	5	2	8	$F_5$ (as 10T4)	$ [\ ]_{5}^{4}$
13.10.9.1	x^10 - 13	13	10	1	9	$F_{5}\times C_2$ (as 10T5)	$ [\ ]_{10}^{4}$
13.10.9.2	x^10 + 26	13	10	1	9	$F_{5}\times C_2$ (as 10T5)	$ [\ ]_{10}^{4}$