↑

Learn more

Refine search

Degree	Signature	Class number	Class group structure	CM field

Ramified prime count	Ramified	Unramified primes	Galois group	Galois

Discriminant	Root discriminant	Galois root discriminant	Regulator	Intermediate field

$p$-adic completions	Minimal sibling	Monogenic	Index	Ines. \(p\)

		Sort order	Select

Results (displaying both matches)

Download displayed columns for results to

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
20.0.233...125.1	$x^{20} - 36 x^{15} + 2486 x^{10} - 47916 x^{5} + 1771561$	$20$	[0,10]	$5^{27}\cdot 11^{12}$	$2$	$37.020741826$	$68.02072465087673$				$C_5:F_5$ (as 20T26)	$[5]$	$10$	$9$	$45537996.331$
20.0.233...125.2	$x^{20} - 54 x^{15} + 781 x^{10} - 2904 x^{5} + 161051$	$20$	[0,10]	$5^{27}\cdot 11^{12}$	$2$	$37.020741826$	$59.80309407631675$				$C_5:F_5$ (as 20T26)	$[5]$	$10$	$9$	$69020367.6146$

Download displayed columns for results to