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
11.14.0.1	x^14 + x^2 - 5x + 8	11	1	14	0	$C_{14}$ (as 14T1)	$ [\ ]^{14}$
11.14.7.1	x^14 - 2662x^8 + 1771561x^2 - 311794736	11	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
11.14.7.2	x^14 - 1771561x^2 + 77948684	11	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
11.14.12.1	x^14 - 11x^7 + 847	11	7	2	12	$(C_7:C_3) \times C_2$ (as 14T5)	$ [\ ]_{7}^{6}$
11.14.13.1	x^14 - 11	11	14	1	13	$(C_7:C_3) \times C_2$ (as 14T5)	$ [\ ]_{14}^{3}$
11.14.13.2	x^14 + 33	11	14	1	13	$(C_7:C_3) \times C_2$ (as 14T5)	$ [\ ]_{14}^{3}$