Local Number Field Search Results

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

Results (displaying all 12 matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
19.6.0.1	x^6 - x + 3	19	1	6	0	$C_6$ (as 6T1)	$ [\ ]^{6}$
19.6.3.1	x^6 - 38x^4 + 361x^2 - 109744	19	2	3	3	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
19.6.3.2	x^6 - 361x^2 + 27436	19	2	3	3	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
19.6.4.1	x^6 + 57x^3 + 1444	19	3	2	4	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
19.6.4.2	x^6 - 19x^3 + 722	19	3	2	4	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
19.6.4.3	x^6 + 95x^3 + 2888	19	3	2	4	$C_6$ (as 6T1)	$ [\ ]_{3}^{2}$
19.6.5.1	x^6 - 304	19	6	1	5	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.2	x^6 - 19	19	6	1	5	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.3	x^6 - 4864	19	6	1	5	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.4	x^6 + 76	19	6	1	5	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.5	x^6 + 1216	19	6	1	5	$C_6$ (as 6T1)	$ [\ ]_{6}$
19.6.5.6	x^6 + 19456	19	6	1	5	$C_6$ (as 6T1)	$ [\ ]_{6}$