Local Number Field Search Results

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

Results (displaying all 7 matches)

Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
x^9 + x^2 - 6x + 2	7	1	9	0	$C_9$ (as 9T1)	$ [\ ]^{9}$
x^9 + 42x^6 + 539x^3 + 2744	7	3	3	6	$C_3^2$ (as 9T2)	$ [\ ]_{3}^{3}$
x^9 - 49x^3 + 686	7	3	3	6	$C_9$ (as 9T1)	$ [\ ]_{3}^{3}$
x^9 - 14x^6 + 49x^3 - 1372	7	3	3	6	$C_9$ (as 9T1)	$ [\ ]_{3}^{3}$
x^9 + 14	7	9	1	8	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$
x^9 - 7	7	9	1	8	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$
x^9 - 28	7	9	1	8	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$

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