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
21.5.197997820955299038370240503694580326709547553.1	x^21 - 4x^20 - 88x^19 + 492x^18 + 2722x^17 - 23456x^16 - 18278x^15 + 554053x^14 - 909739x^13 - 6314467x^12 + 25005205x^11 + 14407592x^10 - 254496351x^9 + 409718150x^8 + 801650743x^7 - 3772994826x^6 + 3833766726x^5 + 6136704108x^4 - 22567165772x^3 + 29014890807x^2 - 18533507650x + 4925133913	\( 13^{7}\cdot 109^{7}\cdot 193^{2}\cdot 277^{2}\cdot 2457529^{2} \)	21T119	$[3]$ (GRH)
21.5.2198467635783681876948922104226037199687332257.1	x^21 - 10x^20 - 64x^19 + 1060x^18 - 414x^17 - 43164x^16 + 143514x^15 + 756375x^14 - 5147167x^13 - 1076463x^12 + 81715797x^11 - 172342538x^10 - 513277027x^9 + 2674733564x^8 - 1554424873x^7 - 14048843964x^6 + 35554134906x^5 - 7390105232x^4 - 106207754284x^3 + 210434894369x^2 - 176222639918x + 58288245703	\( 13^{7}\cdot 109^{7}\cdot 437789723053^{2} \)	21T119	$[3]$ (GRH)
21.7.17451141185917252426351039201905818815724793838846299.1	x^21 - 2x^20 - 290x^19 + 1037x^18 + 35044x^17 - 183697x^16 - 2162845x^15 + 16117777x^14 + 61971057x^13 - 771171843x^12 + 44494159x^11 + 19322952268x^10 - 51470344333x^9 - 181680152911x^8 + 1164333096777x^7 - 1283860391285x^6 - 5798553272533x^5 + 23775359952317x^4 - 40044407624163x^3 + 36366080012337x^2 - 17456241096928x + 3558452875859	\( -\,3^{7}\cdot 13^{7}\cdot 31^{2}\cdot 109^{7}\cdot 850807588597^{2} \)	21T119	Trivial (GRH)