Local Number Field Search Results

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

Results (displaying all 8 matches)

Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
x^15 - 4x + 6	13	1	15	0	$C_{15}$ (as 15T1)	$ [\ ]^{15}$
x^15 + 79092x^6 - 228488x^3 + 80199288	13	3	5	10	$C_{15}$ (as 15T1)	$ [\ ]_{3}^{5}$
x^15 - 57122x^3 + 2227758	13	3	5	10	$C_{15}$ (as 15T1)	$ [\ ]_{3}^{5}$
x^15 - 676x^9 + 114244x^3 - 13366548	13	3	5	10	$C_{15}$ (as 15T1)	$ [\ ]_{3}^{5}$
x^15 - 338x^5 + 13182	13	5	3	12	$F_5\times C_3$ (as 15T8)	$ [\ ]_{5}^{12}$
x^15 - 13	13	15	1	14	$F_5\times C_3$ (as 15T8)	$ [\ ]_{15}^{4}$
x^15 + 26	13	15	1	14	$F_5\times C_3$ (as 15T8)	$ [\ ]_{15}^{4}$
x^15 - 52	13	15	1	14	$F_5\times C_3$ (as 15T8)	$ [\ ]_{15}^{4}$

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