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
21.1.309663421430338978631523663046883017.1	x^21 - 28x^17 - 14x^16 + 189x^15 - 418x^14 - 2009x^13 + 1960x^12 + 7406x^11 - 5600x^10 - 13370x^9 + 23842x^8 + 70415x^7 + 78400x^6 + 40278x^5 - 14868x^4 - 24325x^3 - 490x^2 + 3136x - 1128	\( 7^{21}\cdot 31^{7}\cdot 67^{4} \)	21T102	Trivial (GRH)
21.1.142285435635122529826917437172786251489.1	x^21 - 14x^18 + 42x^17 - 140x^16 + 175x^15 + 425x^14 + 1519x^13 - 9898x^12 + 16282x^11 - 33026x^10 + 81480x^9 - 97958x^8 + 117456x^7 - 350889x^6 + 665518x^5 - 809228x^4 + 1059947x^3 - 1333689x^2 + 988967x - 299363	\( 7^{21}\cdot 23^{7}\cdot 523^{4} \)	21T102	Trivial (GRH)
21.3.61436912371186183111624977032670332439065837568.1	x^21 - 42x^18 - 7x^17 - 238x^16 + 1596x^15 + 264x^14 - 2597x^13 + 7252x^12 - 48160x^11 + 41062x^10 - 500493x^9 + 3501162x^8 - 10842556x^7 + 25912572x^6 - 46236008x^5 + 52502576x^4 - 57998080x^3 + 81998336x^2 - 60924864x + 14292672	\( -\,2^{14}\cdot 3^{15}\cdot 7^{21}\cdot 31^{4}\cdot 47^{7} \)	21T102	Trivial (GRH)
21.3.67686406102186645929831429725293868327921434624.1	x^21 - 14x^18 - 35x^17 - 378x^16 - 2156x^15 - 11388x^14 - 32389x^13 - 37828x^12 + 118272x^11 + 748202x^10 + 2315831x^9 + 5004286x^8 + 8412668x^7 + 9020704x^6 - 8885072x^5 - 78595552x^4 - 215347216x^3 - 373582496x^2 - 431349184x - 276796288	\( -\,2^{14}\cdot 7^{21}\cdot 37^{7}\cdot 2971^{4} \)	21T102	Trivial (GRH)