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
21.7.30763759259184166316226982551787043.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5147x^7 - 588x^6 + 2072x^5 + 392x^4 - 371x^3 - 98x^2 + 14x + 5	\( -\,7^{24}\cdot 107^{7} \)	21T69	Trivial (GRH)
21.9.67280341499835771733588410840758263041.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 7x^14 + 2940x^13 + 98x^12 - 5733x^11 - 539x^10 + 7007x^9 + 1470x^8 - 5133x^7 - 2058x^6 + 1974x^5 + 1372x^4 - 175x^3 - 343x^2 - 84x - 3	\( 3^{7}\cdot 7^{24}\cdot 107^{7} \)	21T69	Trivial (GRH)
21.9.956231088932859942934630515607791320989.1	x^21 - 21x^19 + 189x^17 - 952x^15 - 2x^14 + 2940x^13 + 28x^12 - 5733x^11 - 154x^10 + 7007x^9 + 420x^8 - 5151x^7 - 588x^6 + 2100x^5 + 392x^4 - 427x^3 - 98x^2 + 42x + 11	\( 7^{31}\cdot 67^{7} \)	21T69	Trivial (GRH)