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
21.21.2130661905984884162896886347384923357184.1	x^21 - 42x^19 + 756x^17 - 7616x^15 - 18x^14 + 47040x^13 + 504x^12 - 183456x^11 - 5544x^10 + 448448x^9 + 30240x^8 - 659008x^7 - 84672x^6 + 533120x^5 + 112896x^4 - 200704x^3 - 56448x^2 + 25088x + 7808	\( 2^{18}\cdot 7^{25}\cdot 67^{7} \)	21T40	Trivial (GRH)
21.21.2130661905984884162896886347384923357184.2	x^21 - 42x^19 + 756x^17 - 7616x^15 - 22x^14 + 47040x^13 + 616x^12 - 183456x^11 - 6776x^10 + 448448x^9 + 36960x^8 - 658680x^7 - 103488x^6 + 528528x^5 + 137984x^4 - 182336x^3 - 68992x^2 + 6720x + 3424	\( 2^{18}\cdot 7^{25}\cdot 67^{7} \)	21T40	Trivial (GRH)
21.7.8064534907239574094801006114055662600192.1	x^21 - 6x^19 - 24x^18 + 262x^17 - 1188x^16 - 1310x^15 + 16498x^14 - 8820x^13 - 84272x^12 + 91788x^11 + 198880x^10 - 311512x^9 - 182624x^8 + 380216x^7 + 267120x^6 + 75760x^5 - 599792x^4 - 519200x^3 + 413824x^2 + 381312x + 45152	\( -\,2^{18}\cdot 7^{24}\cdot 107^{7} \)	21T40	Trivial (GRH)
21.7.231636832837360510908018449295052404602048.1	x^21 - 21x^17 - 280x^15 - 138x^14 + 98x^13 + 1792x^12 + 2352x^11 + 1008x^10 + 13279x^9 - 44576x^8 + 4321x^7 + 142296x^6 - 106484x^5 + 32928x^4 + 355376x^3 - 154252x^2 - 254912x + 83900	\( -\,2^{6}\cdot 7^{30}\cdot 107^{7} \)	21T40	Trivial (GRH)