Local Number Field Search Results

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

Results (displaying all 9 matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
13.14.0.1	x^14 - x + 2	13	1	14	0	$C_{14}$ (as 14T1)	$ [\ ]^{14}$
13.14.7.1	x^14 - 43940x^8 + 482680900x^2 - 250994068	13	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
13.14.7.2	x^14 - 48268090x^2 + 125497034	13	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
13.14.12.1	x^14 + 169x^7 + 21632	13	7	2	12	$D_{7}$ (as 14T2)	$ [\ ]_{7}^{2}$
13.14.12.2	x^14 - 13x^7 + 338	13	7	2	12	$C_7 \wr C_2$ (as 14T8)	$ [\ ]_{7}^{14}$
13.14.12.3	x^14 + 39x^7 + 676	13	7	2	12	$C_7 \wr C_2$ (as 14T8)	$ [\ ]_{7}^{14}$
13.14.12.4	x^14 + 65x^7 + 1352	13	7	2	12	$C_7 \wr C_2$ (as 14T8)	$ [\ ]_{7}^{14}$
13.14.13.1	x^14 - 13	13	14	1	13	$D_{14}$ (as 14T3)	$ [\ ]_{14}^{2}$
13.14.13.2	x^14 + 26	13	14	1	13	$D_{14}$ (as 14T3)	$ [\ ]_{14}^{2}$