Local Number Field Search Results

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

Results (displaying all 7 matches)

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
23.6.0.1	x^6 - x + 15	23	1	6	0	$C_6$ (as 6T1)	$ [\ ]^{6}$
23.6.3.1	x^6 - 46x^4 + 529x^2 - 194672	23	2	3	3	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
23.6.3.2	x^6 - 529x^2 + 48668	23	2	3	3	$C_6$ (as 6T1)	$ [\ ]_{2}^{3}$
23.6.4.1	x^6 + 460x^3 + 181447	23	3	2	4	$S_3$ (as 6T2)	$ [\ ]_{3}^{2}$
23.6.4.2	x^6 - 23x^3 + 3703	23	3	2	4	$S_3\times C_3$ (as 6T5)	$ [\ ]_{3}^{6}$
23.6.5.1	x^6 - 23	23	6	1	5	$D_{6}$ (as 6T3)	$ [\ ]_{6}^{2}$
23.6.5.2	x^6 + 46	23	6	1	5	$D_{6}$ (as 6T3)	$ [\ ]_{6}^{2}$