Local Number Field Search Results

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

Results (displaying all 6 matches)

Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
x^14 - x + 2	3	1	14	0	$C_{14}$ (as 14T1)	$ [\ ]^{14}$
x^14 - 54x^8 - 243x^4 - 729x^2 - 2187	3	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
x^14 + 243x^4 - 729x^2 + 2187	3	2	7	7	$C_{14}$ (as 14T1)	$ [\ ]_{2}^{7}$
x^14 - 3x^7 + 18	3	7	2	12	$F_7$ (as 14T4)	$ [\ ]_{7}^{6}$
x^14 - 3	3	14	1	13	$F_7 \times C_2$ (as 14T7)	$ [\ ]_{14}^{6}$
x^14 + 3	3	14	1	13	$F_7 \times C_2$ (as 14T7)	$ [\ ]_{14}^{6}$

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