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
15.3.59463924292145152.1	x^15 - x^14 - 6x^13 + 15x^12 - 9x^11 - 13x^10 + 30x^9 - 31x^8 + 24x^7 - 14x^6 + 10x^5 - 18x^4 + 27x^3 - 21x^2 + 8x - 1	\( 2^{12}\cdot 13^{9}\cdot 37^{2} \)	15T56	Trivial
15.3.1933815466333523968.1	x^15 - 4x^14 + 7x^13 - 15x^12 + 18x^11 - 24x^10 + 36x^9 - 16x^8 + 71x^7 + 69x^5 + 67x^4 + 17x^3 + 48x^2 + 27x + 5	\( 2^{12}\cdot 13^{9}\cdot 211^{2} \)	15T56	Trivial
15.15.23980112932460739050668032.1	x^15 - 24x^13 - 27x^12 + 167x^11 + 341x^10 - 181x^9 - 864x^8 - 357x^7 + 621x^6 + 583x^5 + 16x^4 - 170x^3 - 81x^2 - 15x - 1	\( 2^{16}\cdot 3^{4}\cdot 37^{2}\cdot 53^{9} \)	15T56	Trivial (GRH)
15.15.9308995761095593587893403648.1	x^15 - 60x^13 - 36x^12 + 1440x^11 + 1728x^10 - 17044x^9 - 31104x^8 + 95184x^7 + 254000x^6 - 146880x^5 - 870528x^4 - 488292x^3 + 744192x^2 + 965808x + 311392	\( 2^{16}\cdot 3^{16}\cdot 53^{9} \)	15T56	Trivial (GRH)