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
21.3.8971378199137136745057872231.1	x^21 - x^20 + 3x^19 + 4x^18 + 8x^17 - 12x^16 + 9x^15 + 113x^14 - 287x^13 + 404x^12 - 526x^11 + 1106x^10 - 2438x^9 + 2381x^8 - 2385x^7 + 3637x^6 - 6756x^5 + 4734x^4 - 3615x^3 + 1513x^2 - 2017x - 1319	\( -\,7^{2}\cdot 13^{2}\cdot 71^{9}\cdot 4861^{2} \)	21T76	Trivial (GRH)
21.3.19019216778782670169504453271.1	x^21 - 9x^20 + 23x^19 + 24x^18 - 196x^17 + 152x^16 + 587x^15 - 1008x^14 - 562x^13 + 2180x^12 - 404x^11 - 2259x^10 + 1317x^9 + 1079x^8 - 1081x^7 - 177x^6 + 477x^5 - 106x^4 - 81x^3 + 53x^2 - 12x + 1	\( -\,67^{2}\cdot 71^{9}\cdot 9613^{2} \)	21T76	Trivial (GRH)
21.21.165741453589750353970901230963251252577.1	x^21 - 9x^20 + 14x^19 + 97x^18 - 353x^17 - 79x^16 + 1929x^15 - 2039x^14 - 3316x^13 + 7255x^12 - 293x^11 - 8640x^10 + 5511x^9 + 3057x^8 - 4428x^7 + 801x^6 + 929x^5 - 488x^4 + 17x^3 + 44x^2 - 12x + 1	\( 13^{2}\cdot 433^{2}\cdot 577^{9}\cdot 859^{2} \)	21T76	Trivial (GRH)
21.21.258687132988217200735331406301989120625.1	x^21 - 5x^20 - 14x^19 + 113x^18 - 41x^17 - 803x^16 + 1245x^15 + 1847x^14 - 5518x^13 + 541x^12 + 9121x^11 - 7098x^10 - 4571x^9 + 8031x^8 - 1750x^7 - 2491x^6 + 1653x^5 - 116x^4 - 227x^3 + 96x^2 - 16x + 1	\( 5^{4}\cdot 7^{2}\cdot 577^{9}\cdot 34519^{2} \)	21T76	Trivial (GRH)