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
14.2.11733530714447727431640625.1	x^14 - 14x^12 + 77x^10 - 210x^8 - 176x^7 + 294x^6 + 1232x^5 - 196x^4 - 2464x^3 + 49x^2 + 1232x + 524	\( 5^{10}\cdot 7^{14}\cdot 11^{6} \)	14T23	Trivial (GRH)
14.2.11733530714447727431640625.2	x^14 - 14x^12 + 77x^10 - 210x^8 - 121x^7 + 294x^6 + 847x^5 - 196x^4 - 1694x^3 + 49x^2 + 847x + 1129	\( 5^{10}\cdot 7^{14}\cdot 11^{6} \)	14T23	Trivial (GRH)
14.14.35036134976849482947240000000000.1	x^14 - 154x^12 + 9317x^10 - 279510x^8 - 17166x^7 + 4304454x^6 + 1321782x^5 - 31565996x^4 - 29079204x^3 + 86806489x^2 + 159935622x + 73616884	\( 2^{12}\cdot 3^{6}\cdot 5^{10}\cdot 7^{14}\cdot 11^{6} \)	14T23	Trivial (GRH)
14.14.62068650315722446859495441640000000000.1	x^14 - 154x^12 + 9317x^10 - 279510x^8 - 12606x^7 + 4304454x^6 + 970662x^5 - 31565996x^4 - 21354564x^3 + 86806489x^2 + 117450102x + 38710804	\( 2^{12}\cdot 3^{6}\cdot 5^{10}\cdot 7^{14}\cdot 11^{12} \)	14T23	Trivial (GRH)