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 4 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.0.845634697317927878656.1	x^14 + 16x^12 + 96x^10 + 272x^8 + 376x^6 + 236x^4 + 60x^2 + 4	\( -\,2^{20}\cdot 73^{8} \)	$(C_7:C_3) \times C_2$ (as 14T5)	$[8]$
14.0.2287803859285131292672.1	x^14 - 22x^7 + 128	\( -\,2^{12}\cdot 7^{21} \)	$(C_7:C_3) \times C_2$ (as 14T5)	$[2]$
14.14.108241241256694768467968.1	x^14 - 22x^12 + 176x^10 - 622x^8 + 944x^6 - 478x^4 + 76x^2 - 2	\( 2^{27}\cdot 73^{8} \)	$(C_7:C_3) \times C_2$ (as 14T5)	Trivial (GRH)
14.14.258067229406105920000000.1	x^14 - 24x^12 - 8x^11 + 176x^10 + 82x^9 - 496x^8 - 218x^7 + 628x^6 + 224x^5 - 352x^4 - 92x^3 + 72x^2 + 12x - 4	\( 2^{12}\cdot 5^{7}\cdot 73^{8} \)	$(C_7:C_3) \times C_2$ (as 14T5)	Trivial (GRH)