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 3 matches)

Label	Polynomial	Discriminant	Galois group	Class group
21.3.953896806899772096335364351819.1	x^21 - 5x^20 + 14x^19 - 30x^18 + 81x^17 - 198x^16 + 312x^15 - 259x^14 - 31x^13 + 395x^12 - 455x^11 + 311x^10 + 131x^9 - 101x^8 + 292x^7 + 104x^6 + 29x^5 + 133x^4 + 67x^3 + 11x^2 + 4x + 1	\( -\,3^{4}\cdot 11^{9}\cdot 13^{12}\cdot 463^{2} \)	21T98	Trivial (GRH)
21.3.160091556105803523932869333700219.1	x^21 - 3x^20 + 3x^19 - 2x^18 - 3x^17 + 11x^16 - 25x^15 + 45x^14 - 52x^13 + 43x^12 + 51x^11 - 121x^10 + 143x^9 - 83x^8 - 62x^7 + 95x^6 - 203x^5 + 45x^4 - 50x^3 - 26x^2 + 3x - 7	\( -\,11^{9}\cdot 13^{12}\cdot 37^{2}\cdot 1459^{2} \)	21T98	Trivial (GRH)
21.21.173544167045557743097770002110965309417817197.1	x^21 - 8x^20 + 2x^19 + 140x^18 - 334x^17 - 547x^16 + 2838x^15 - 1594x^14 - 6768x^13 + 10476x^12 + 1818x^11 - 14040x^10 + 7698x^9 + 4780x^8 - 6072x^7 + 886x^6 + 1278x^5 - 607x^4 + 12x^3 + 52x^2 - 13x + 1	\( 3^{4}\cdot 7^{12}\cdot 173^{9}\cdot 1056007^{2} \)	21T98	Trivial (GRH)