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 3 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.2.12275806904099446920772541656987945701376.1	x^14 + 42x^12 - 840x^11 + 4473x^10 - 77728x^9 + 235648x^8 - 2601696x^7 + 6832756x^6 - 48638016x^5 + 124211584x^4 - 490172256x^3 + 802837840x^2 - 1497646080x + 723639232	\( 2^{12}\cdot 7^{16}\cdot 11^{8}\cdot 29^{10} \)	14T22	Trivial (GRH)
14.2.869651227673543607965251034000845898902500000000.1	x^14 - 63x^12 - 9555x^11 + 118671x^10 - 708246x^9 - 17922660x^8 + 859373823x^7 + 2085856500x^6 - 117366985106x^5 - 335941176396x^4 + 4638317668005x^3 + 17926524826973x^2 + 7429846568445x + 91264986397629	\( 2^{8}\cdot 3^{16}\cdot 5^{10}\cdot 7^{24}\cdot 59^{6} \)	14T22	Trivial (GRH)
14.14.24431284889171154824543220676517883413839621617385499051692974999513071616.1	x^14 - 129864x^12 - 517832x^11 + 6567239322x^10 + 33352434192x^9 - 166594899026864x^8 - 752915315481312x^7 + 2275891736459084940x^6 + 7743078094604088768x^5 - 16633213695413438344032x^4 - 39871919309692447523616x^3 + 60126791399546070679893112x^2 + 77844118533852728698751040x - 83173498199506854751458701376	\( 2^{36}\cdot 3^{16}\cdot 7^{18}\cdot 4145023^{6} \)	14T22	n/a