Local number field search results

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

Results (displaying all 18 matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
11.10.0.1	x^10 + x^2 - x + 6	11	1	10	0	$C_{10}$ (as 10T1)	$ [\ ]^{10}$
11.10.5.1	x^10 - 242x^6 - 1331x^4 - 131769x^2 - 4026275	11	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
11.10.5.2	x^10 + 1331x^4 - 14641x^2 + 805255	11	2	5	5	$C_{10}$ (as 10T1)	$ [\ ]_{2}^{5}$
11.10.8.1	x^10 + 220x^5 + 41503	11	5	2	8	$C_{10}$ (as 10T1)	$ [\ ]_{5}^{2}$
11.10.8.2	x^10 + 143x^5 + 5929	11	5	2	8	$C_{10}$ (as 10T1)	$ [\ ]_{5}^{2}$
11.10.8.3	x^10 - 11x^5 + 847	11	5	2	8	$C_{10}$ (as 10T1)	$ [\ ]_{5}^{2}$
11.10.8.4	x^10 - 781x^5 + 290521	11	5	2	8	$C_{10}$ (as 10T1)	$ [\ ]_{5}^{2}$
11.10.8.5	x^10 - 2321x^5 + 2033647	11	5	2	8	$C_{10}$ (as 10T1)	$ [\ ]_{5}^{2}$
11.10.9.1	x^10 - 11	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.10	x^10 + 24057	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.2	x^10 - 72171	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.3	x^10 - 891	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.4	x^10 - 99	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.5	x^10 - 8019	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.6	x^10 + 216513	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.7	x^10 + 2673	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.8	x^10 + 33	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$
11.10.9.9	x^10 + 297	11	10	1	9	$C_{10}$ (as 10T1)	$ [\ ]_{10}$