Global number field search results

Further refine search

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
14.8.70524602340782734375.1	x^14 - 14x^12 + 77x^10 - 210x^8 - 3x^7 + 294x^6 + 21x^5 - 196x^4 - 42x^3 + 49x^2 + 21x + 1	\( -\,5^{7}\cdot 7^{14}\cdot 11^{3} \)	14T32	Trivial
14.0.88896054604464128000.1	x^14 - 14x^12 + 77x^10 - 210x^8 - 2x^7 + 294x^6 + 14x^5 - 196x^4 - 28x^3 + 49x^2 + 14x + 2	\( -\,2^{20}\cdot 5^{3}\cdot 7^{14} \)	14T32	Trivial
14.2.131095588178827824489.1	x^14 - x^13 - 5x^12 + 7x^11 - 14x^10 - 28x^9 + 42x^8 - 49x^7 - 42x^6 + 84x^5 - 91x^4 - 63x^3 + 35x^2 - 42x - 35	\( 3^{7}\cdot 7^{12}\cdot 163^{3} \)	14T32	Trivial
14.8.217031383311680000000.1	x^14 - 14x^12 + 77x^10 - 210x^8 - 2x^7 + 294x^6 + 14x^5 - 196x^4 - 28x^3 + 49x^2 + 14x - 4	\( -\,2^{12}\cdot 5^{7}\cdot 7^{14} \)	14T32	Trivial (GRH)
14.0.285975482410641411584.1	x^14 + 14x^12 + 77x^10 + 210x^8 - x^7 + 294x^6 - 7x^5 + 196x^4 - 14x^3 + 49x^2 - 7x + 2	\( -\,2^{9}\cdot 7^{21} \)	14T32	Trivial
14.2.1292279884665176640625.1	x^14 - 14x^12 + 77x^10 - 210x^8 - 7x^7 + 294x^6 + 49x^5 - 196x^4 - 98x^3 + 49x^2 + 49x - 19	\( 5^{7}\cdot 7^{14}\cdot 29^{3} \)	14T32	Trivial
14.14.27112347955666820198825984.1	x^14 - 42x^12 - 56x^11 + 553x^10 + 1344x^9 - 1764x^8 - 7788x^7 - 2744x^6 + 12628x^5 + 12348x^4 - 3528x^3 - 8673x^2 - 3136x - 224	\( 2^{21}\cdot 7^{16}\cdot 73^{3} \)	14T32	Trivial (GRH)
14.14.1386734062606398027846953125.1	x^14 - 28x^12 + 308x^10 - 1680x^8 - 9x^7 + 4704x^6 + 126x^5 - 6272x^4 - 504x^3 + 3136x^2 + 504x + 19	\( 5^{7}\cdot 7^{14}\cdot 2969^{3} \)	14T32	Trivial (GRH)