Local number field search results

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

Results (displaying all 8 matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
19.10.0.1	x^10 + x^2 - 2x + 14	19	1	10	0	$C_{10}$ (as 10T1)	$ [\ ]^{10}$
19.10.5.1	x^10 - 722x^6 + 130321x^2 - 61902475	19	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
19.10.5.2	x^10 - 130321x^2 + 12380495	19	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
19.10.8.1	x^10 - 209x^5 + 11552	19	5	2	8	$D_5$ (as 10T2)	$ [\ ]_{5}^{2}$
19.10.8.2	x^10 - 19x^5 + 722	19	5	2	8	$D_5\times C_5$ (as 10T6)	$ [\ ]_{5}^{10}$
19.10.8.3	x^10 + 57x^5 + 1444	19	5	2	8	$D_5\times C_5$ (as 10T6)	$ [\ ]_{5}^{10}$
19.10.9.1	x^10 - 19	19	10	1	9	$D_{10}$ (as 10T3)	$ [\ ]_{10}^{2}$
19.10.9.2	x^10 + 76	19	10	1	9	$D_{10}$ (as 10T3)	$ [\ ]_{10}^{2}$