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
21.9.426526997774818621923125282529.1	x^21 - 12x^19 - 6x^18 + 3x^17 - 129x^16 - 144x^15 + 111x^14 - 273x^13 - 611x^12 + 93x^11 + 426x^10 + 1596x^9 + 1509x^8 - 1977x^7 - 1134x^6 + 1617x^5 + 435x^4 - 254x^3 - 39x^2 + 18x + 3	\( 3^{34}\cdot 13^{2}\cdot 73^{6} \)	21T132	Trivial (GRH)
21.9.13686230803976276974088591656489.1	x^21 - 7x^20 + 7x^19 + 55x^18 - 132x^17 - 112x^16 + 589x^15 - 188x^14 - 1078x^13 + 1042x^12 + 579x^11 - 1297x^10 + 411x^9 + 431x^8 - 127x^7 - 455x^6 - 126x^5 + 888x^4 - 460x^3 - 146x^2 + 127x - 1	\( 17^{10}\cdot 19^{2}\cdot 61^{2}\cdot 131^{6} \)	21T132	Trivial (GRH)
21.21.26563903911883330121619159719439583143721.1	x^21 - 9x^20 + 14x^19 + 98x^18 - 357x^17 - 91x^16 + 2009x^15 - 2109x^14 - 3605x^13 + 7985x^12 - 709x^11 - 9214x^10 + 6536x^9 + 2516x^8 - 4458x^7 + 961x^6 + 856x^5 - 474x^4 + 16x^3 + 44x^2 - 12x + 1	\( 19^{2}\cdot 149^{6}\cdot 211^{6}\cdot 276049^{2} \)	21T132	Trivial (GRH)
21.21.41151941544955240315942375795013592028729.1	x^21 - 5x^20 - 14x^19 + 112x^18 - 31x^17 - 833x^16 + 1235x^15 + 2081x^14 - 5975x^13 + 683x^12 + 9749x^11 - 7990x^10 - 4232x^9 + 8232x^8 - 1974x^7 - 2437x^6 + 1666x^5 - 124x^4 - 226x^3 + 96x^2 - 16x + 1	\( 149^{6}\cdot 211^{6}\cdot 6528133^{2} \)	21T132	Trivial (GRH)