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
21.9.16188697197113842243081854457921.1	x^21 - 9x^20 + 20x^19 + 49x^18 - 258x^17 + 121x^16 + 953x^15 - 1378x^14 - 1194x^13 + 3586x^12 - 572x^11 - 3807x^10 + 2407x^9 + 1581x^8 - 1937x^7 + 33x^6 + 644x^5 - 231x^4 - 49x^3 + 50x^2 - 12x + 1	\( 13^{8}\cdot 109^{6}\cdot 181^{2}\cdot 601^{2} \)	21T115	Trivial (GRH)
21.9.27358425020235623782451595684241.1	x^21 - 8x^20 + 11x^19 + 69x^18 - 212x^17 - 125x^16 + 1107x^15 - 639x^14 - 2429x^13 + 3139x^12 + 1803x^11 - 4950x^10 + 904x^9 + 3274x^8 - 2054x^7 - 553x^6 + 924x^5 - 224x^4 - 88x^3 + 61x^2 - 13x + 1	\( 13^{6}\cdot 19^{2}\cdot 109^{6}\cdot 96757^{2} \)	21T115	Trivial (GRH)
21.21.83880263553291436673128474467106816.1	x^21 - 7x^20 - 17x^19 + 210x^18 - 16x^17 - 2663x^16 + 2439x^15 + 18749x^14 - 25099x^13 - 80928x^12 + 128445x^11 + 222874x^10 - 385353x^9 - 394086x^8 + 698150x^7 + 436857x^6 - 736448x^5 - 284524x^4 + 401643x^3 + 95619x^2 - 81870x - 14407	\( 2^{30}\cdot 809^{6}\cdot 16693^{2} \)	21T115	Trivial (GRH)
21.21.5401375097241767710636700842081455702016.1	x^21 - 10x^20 + 24x^19 + 71x^18 - 400x^17 + 241x^16 + 1639x^15 - 2929x^14 - 1424x^13 + 7382x^12 - 3629x^11 - 6162x^10 + 6918x^9 + 411x^8 - 3588x^7 + 1279x^6 + 541x^5 - 433x^4 + 43x^3 + 34x^2 - 11x + 1	\( 2^{30}\cdot 733^{2}\cdot 809^{6}\cdot 5779^{2} \)	21T115	Trivial (GRH)