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 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.0.446035689155158947.1	x^14 - 2x^12 - 14x^11 - 8x^10 - 5x^9 + 58x^8 + 70x^7 + 151x^6 + 111x^5 + 163x^4 + 36x^3 + 114x^2 + 45x + 9	\( -\,3^{9}\cdot 13^{2}\cdot 366181^{2} \)	14T52	Trivial
14.0.446035689155158947.2	x^14 - 4x^13 + 17x^12 - 46x^11 + 112x^10 - 216x^9 + 367x^8 - 520x^7 + 632x^6 - 649x^5 + 553x^4 - 381x^3 + 219x^2 - 99x + 27	\( -\,3^{9}\cdot 13^{2}\cdot 366181^{2} \)	14T52	Trivial
14.6.1224823843085669629952.1	x^14 - 6x^13 + 17x^12 - 6x^11 - 115x^10 + 444x^9 - 868x^8 + 672x^7 + 1044x^6 - 3920x^5 + 5856x^4 - 4928x^3 + 2160x^2 - 320x - 32	\( 2^{21}\cdot 23^{2}\cdot 1050737^{2} \)	14T52	Trivial
14.6.1224823843085669629952.2	x^14 - 6x^13 + 7x^12 + 12x^11 - 29x^10 + 46x^9 - 37x^8 - 14x^7 + 62x^6 - 118x^5 + 140x^4 - 128x^3 + 89x^2 - 40x + 16	\( 2^{21}\cdot 23^{2}\cdot 1050737^{2} \)	14T52	Trivial
14.10.1273417700659086943252185088.1	x^14 - 4x^13 - 17x^12 + 78x^11 + 149x^10 - 812x^9 - 2150x^8 + 84x^7 + 4571x^6 + 3596x^5 - 1113x^4 - 1794x^3 - 193x^2 + 100x + 16	\( 2^{16}\cdot 13^{7}\cdot 17597207^{2} \)	14T52	Trivial (GRH)
14.10.1273417700659086943252185088.2	x^14 - 4x^13 - 16x^12 + 64x^11 + 123x^10 - 384x^9 - 618x^8 + 968x^7 + 1799x^6 - 700x^5 - 2296x^4 - 512x^3 + 800x^2 + 448x + 64	\( 2^{16}\cdot 13^{7}\cdot 17597207^{2} \)	14T52	Trivial (GRH)
14.14.385237186031186411963220000000.1	x^14 - 5x^13 - 68x^12 + 410x^11 + 1303x^10 - 11496x^9 + 563x^8 + 123182x^7 - 197183x^6 - 327968x^5 + 1020415x^4 - 483750x^3 - 472530x^2 + 366349x - 59399	\( 2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 61^{2}\cdot 389^{2}\cdot 649871^{2} \)	14T52	Trivial (GRH)
14.14.385237186031186411963220000000.2	x^14 - 2x^13 - 74x^12 + 334x^11 + 1106x^10 - 10118x^9 + 14878x^8 + 55124x^7 - 240881x^6 + 329052x^5 - 31174x^4 - 426504x^3 + 515279x^2 - 254210x + 47225	\( 2^{8}\cdot 3^{4}\cdot 5^{7}\cdot 61^{2}\cdot 389^{2}\cdot 649871^{2} \)	14T52	Trivial (GRH)