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
21.1.265283078340996577927735640721.2	x^21 - 4x^20 + 15x^19 - 38x^18 + 87x^17 - 166x^16 + 291x^15 - 534x^14 + 954x^13 - 1218x^12 + 1775x^11 - 1990x^10 + 2612x^9 - 2193x^8 + 2151x^7 - 1538x^6 + 990x^5 - 641x^4 + 574x^3 + 439x^2 + 407x + 169	\( 3^{16}\cdot 151^{10} \)	21T75	Trivial (GRH)
21.1.265283078340996577927735640721.3	x^21 - 6x^20 + 12x^19 - 4x^18 - 7x^17 - 47x^16 + 158x^15 - 112x^14 - 277x^13 + 800x^12 - 683x^11 - 929x^10 + 3169x^9 - 2711x^8 - 1350x^7 + 4467x^6 - 2049x^5 - 2691x^4 + 4230x^3 - 2223x^2 + 378x + 81	\( 3^{16}\cdot 151^{10} \)	21T75	Trivial (GRH)
21.21.156300411670105474374174516001324669217427251047054050625.1	x^21 - 10x^20 - 379x^19 + 1384x^18 + 53116x^17 - 13301x^16 - 3692835x^15 - 7668748x^14 + 134090640x^13 + 563725213x^12 - 2138988854x^11 - 16970326923x^10 - 6183776481x^9 + 213379818954x^8 + 617909038462x^7 - 197740623406x^6 - 4673360450941x^5 - 11825689657381x^4 - 15223070924580x^3 - 11060712562675x^2 - 4275614935180x - 675087792901	\( 5^{4}\cdot 13^{4}\cdot 577^{10}\cdot 2029^{2}\cdot 22803013^{2} \)	21T75	$[3]$ (GRH)