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 7 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.3.10544075126076649.1	x^15 - 6x^14 + 11x^13 - x^12 - 10x^11 - 13x^10 + 18x^9 + 40x^8 - 30x^7 - 64x^6 + 42x^5 + 47x^4 - 27x^3 - 19x^2 + 9x + 1	\( 37^{2}\cdot 43^{2}\cdot 1609^{3} \)	15T78	Trivial
15.3.11354350039657729.1	x^15 - 4x^14 + 5x^13 + x^12 - 7x^11 + x^10 + 7x^9 - 2x^8 - 8x^7 + 22x^6 - 37x^5 + 35x^4 - 20x^3 + 11x^2 - 7x + 1	\( 13^{2}\cdot 127^{2}\cdot 1609^{3} \)	15T78	Trivial
15.3.15315650494266781.1	x^15 - 2x^14 + x^13 - x^12 + 7x^11 - 5x^10 - 10x^9 + 7x^8 + 16x^7 - 15x^6 - 19x^5 + 27x^4 - 2x^3 - 11x^2 + 6x - 1	\( 127^{2}\cdot 9829^{3} \)	15T78	Trivial
15.9.35059114707591389519.1	x^15 - 5x^14 - x^13 + 42x^12 - 49x^11 - 97x^10 + 192x^9 + 46x^8 - 247x^7 + 47x^6 + 152x^5 - 78x^4 - 29x^3 + 34x^2 - 10x + 1	\( -\,13^{3}\cdot 347^{3}\cdot 19543^{2} \)	15T78	Trivial
15.9.48986909510143987031.1	x^15 - 3x^14 + 9x^12 - 33x^11 + 74x^10 - 19x^9 - 223x^8 + 465x^7 - 288x^6 - 409x^5 + 806x^4 - 298x^3 - 234x^2 + 172x - 19	\( -\,13^{5}\cdot 347^{3}\cdot 1777^{2} \)	15T78	Trivial
15.15.25927809472547742867577.1	x^15 - 7x^14 + 7x^13 + 52x^12 - 129x^11 - 37x^10 + 368x^9 - 220x^8 - 305x^7 + 339x^6 + 26x^5 - 142x^4 + 39x^3 + 14x^2 - 8x + 1	\( 61^{3}\cdot 397^{3}\cdot 42727^{2} \)	15T78	Trivial (GRH)
15.15.55089924796575212472793.1	x^15 - 3x^14 - 13x^13 + 48x^12 + 35x^11 - 247x^10 + 98x^9 + 452x^8 - 449x^7 - 183x^6 + 412x^5 - 130x^4 - 61x^3 + 50x^2 - 12x + 1	\( 61^{5}\cdot 397^{3}\cdot 1021^{2} \)	15T78	Trivial (GRH)