Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 7 matches)

Label	Polynomial	Discriminant	Galois group	Class group
38.0.282043823418243542433249166060715711952450320814680588841203531776.1	x^38 - 2x^19 + 2	\( -\,2^{56}\cdot 19^{38} \)	38T9	Trivial (GRH)
38.0.1762476198890992238387926942683405611628934289942221754009257333083.1	x^38 - 3x^19 + 3	\( -\,3^{37}\cdot 19^{38} \)	38T9	Trivial (GRH)
38.0.147872192092304070375243338775640519188126273799287256562376917267775488.1	x^38 + 2	\( -\,2^{75}\cdot 19^{38} \)	38T9	Trivial (GRH)
38.2.147872192092304070375243338775640519188126273799287256562376917267775488.1	x^38 - 2	\( 2^{75}\cdot 19^{38} \)	38T9	Trivial (GRH)
38.2.284791482692749835536885264940522098762203880501401727087795734405517578125.1	x^38 - 5	\( 5^{37}\cdot 19^{38} \)	38T9	n/a
38.2.484465768589773000503422846723999589366345604008628746435169096117738486628352.1	x^38 - 3	\( 2^{38}\cdot 3^{37}\cdot 19^{38} \)	38T9	n/a
38.0.78282886678061475836179252135925619158332655848820000000000000000000000000000000000000.1	x^38 + 5	\( -\,2^{38}\cdot 5^{37}\cdot 19^{38} \)	38T9	n/a