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
23.10.0.1	x^10 - x + 7	23	1	10	0	$C_{10}$ (as 10T1)	$ [\ ]^{10}$
23.10.5.1	x^10 - 1058x^6 + 279841x^2 - 25745372	23	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
23.10.5.2	x^10 - 279841x^2 + 12872686	23	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
23.10.8.1	x^10 - 23x^5 + 3703	23	5	2	8	$F_5$ (as 10T4)	$ [\ ]_{5}^{4}$
23.10.9.1	x^10 - 23	23	10	1	9	$F_{5}\times C_2$ (as 10T5)	$ [\ ]_{10}^{4}$
23.10.9.2	x^10 + 46	23	10	1	9	$F_{5}\times C_2$ (as 10T5)	$ [\ ]_{10}^{4}$