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
15.3.2432060458605625.1	x^15 - x^14 - 2x^13 + x^12 + 2x^11 - 4x^10 - 4x^9 + 3x^8 + 4x^7 - 2x^6 - 3x^5 + 5x^4 + 5x^3 - x^2 - 4x - 1	\( 5^{4}\cdot 19^{2}\cdot 47^{6} \)	15T46	Trivial
15.3.21643467887730481.1	x^15 - x^14 - x^13 + x^12 - 7x^11 - 2x^10 + 18x^9 + 12x^8 - 17x^7 + 7x^6 - 11x^5 - 21x^4 + 22x^3 - 11x^2 - 2x - 1	\( 13^{2}\cdot 47^{6}\cdot 109^{2} \)	15T46	Trivial
15.15.14867888428662380090281.1	x^15 - 6x^14 + 62x^12 - 98x^11 - 133x^10 + 397x^9 - 69x^8 - 456x^7 + 310x^6 + 122x^5 - 173x^4 + 29x^3 + 21x^2 - 9x + 1	\( 31^{2}\cdot 61^{2}\cdot 401^{6} \)	15T46	Trivial (GRH)
15.15.15904924067541390944821201.1	x^15 - 4x^14 - 10x^13 + 58x^12 - 6x^11 - 249x^10 + 241x^9 + 323x^8 - 560x^7 + 28x^6 + 348x^5 - 181x^4 - 19x^3 + 39x^2 - 11x + 1	\( 127^{2}\cdot 401^{6}\cdot 487^{2} \)	15T46	Trivial (GRH)