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 6 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.3.2053114669060957129.1	x^15 - 2x^14 + 3x^13 - 10x^12 + 35x^11 - 124x^10 + 208x^9 - 195x^8 + 86x^7 + 81x^6 - 88x^5 + 50x^4 + 24x^3 - 8x^2 - 3x + 1	\( 149^{4}\cdot 1609^{3} \)	15T63	Trivial
15.3.14524233647934057129.1	x^15 - 3x^13 - 4x^12 - 9x^11 - 6x^10 + 30x^9 + 27x^8 + 47x^6 - 126x^5 - 492x^4 - 550x^3 - 306x^2 - 87x - 11	\( 3^{20}\cdot 1609^{3} \)	15T63	Trivial
15.9.320068972520322321231.1	x^15 - 15x^13 - 3x^12 + 81x^11 + 72x^10 - 271x^9 - 360x^8 + 498x^7 + 766x^6 - 225x^5 - 663x^4 - 158x^3 + 225x^2 + 96x - 31	\( -\,3^{20}\cdot 13^{3}\cdot 347^{3} \)	15T63	Trivial (GRH)
15.9.43085608345654444113759.1	x^15 - 15x^13 - 8x^12 + 9x^11 - 6x^10 + 250x^9 + 288x^8 + 147x^7 - 534x^6 - 1413x^5 + 636x^4 + 120x^3 - 648x^2 + 288x - 32	\( -\,3^{20}\cdot 61^{3}\cdot 379^{3} \)	15T63	Trivial (GRH)
15.15.725031474691613510491573833.1	x^15 - 48x^13 - 18x^12 + 837x^11 + 525x^10 - 6713x^9 - 5481x^8 + 25770x^7 + 24378x^6 - 45144x^5 - 45111x^4 + 35431x^3 + 35937x^2 - 10164x - 10285	\( 3^{20}\cdot 11^{4}\cdot 61^{3}\cdot 397^{3} \)	15T63	Trivial (GRH)
15.15.19343994249123115056059765625.1	x^15 - 87x^13 - 103x^12 + 2295x^11 + 2970x^10 - 26915x^9 - 24300x^8 + 166500x^7 + 48050x^6 - 532125x^5 + 172875x^4 + 677750x^3 - 579375x^2 + 30000x + 63125	\( 3^{20}\cdot 5^{8}\cdot 61^{3}\cdot 397^{3} \)	15T63	Trivial (GRH)