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
21.1.238583305854552412020101.1	x^21 - 6x^18 - 6x^16 + 8x^15 - 8x^14 + 17x^13 - 3x^12 + 23x^11 - 28x^10 - 11x^9 - 45x^8 - 14x^7 - 44x^6 - 17x^5 - 21x^4 - 4x^3 - 8x^2 - 1	\( 23^{7}\cdot 41227^{3} \)	21T62	Trivial (GRH)
21.3.837604276918124655203492919754752.1	x^21 - 6x^20 + 13x^19 - 17x^18 + 21x^17 - 45x^16 + 82x^15 - 15x^14 + 21x^13 - 84x^12 + 93x^11 + 37x^10 - 137x^9 - 497x^8 - 444x^7 - 317x^6 - 346x^5 - 656x^4 - 808x^3 - 640x^2 - 288x - 64	\( -\,2^{14}\cdot 3^{7}\cdot 13^{3}\cdot 31^{3}\cdot 47^{7}\cdot 89^{3} \)	21T62	Trivial (GRH)
21.1.2421032603211455207440720697704448.1	x^21 - 6x^20 + 16x^19 - 26x^18 + 29x^17 - 36x^16 + 50x^15 - 50x^14 + 35x^13 - 14x^12 + 100x^11 - 22x^10 - 25x^9 - 112x^8 - 78x^7 - 286x^6 - 632x^5 - 1000x^4 - 1000x^3 - 688x^2 - 288x - 64	\( 2^{14}\cdot 11^{10}\cdot 283^{3}\cdot 6311^{3} \)	21T62	Trivial (GRH)
21.3.647754154086026198212292912701505536.1	x^21 - 6x^20 + 22x^19 - 44x^18 + 46x^17 - 18x^16 - 9x^15 - 94x^14 + 67x^13 + 50x^12 + 44x^11 - 96x^10 + 288x^9 + 690x^8 + 639x^7 - 246x^6 - 1218x^5 - 1692x^4 - 1384x^3 - 784x^2 - 288x - 64	\( -\,2^{23}\cdot 79^{7}\cdot 159017^{3} \)	21T62	Trivial (GRH)