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 both matches)

Label	Polynomial	Discriminant	Galois group	Class group
19.5.8969938904536782790298366089328.1	x^19 - 2x^18 - 3x^17 + 9x^16 + x^15 - 16x^14 + 5x^13 + 17x^12 - 10x^11 - 12x^10 + 10x^9 + x^8 + 3x^6 - 9x^5 + 2x^4 + 6x^3 - 5x^2 - x + 1	\( -\,2^{4}\cdot 3947\cdot 1431584761\cdot 99216821342546749 \)	$S_{19}$ (as 19T8)	Trivial (GRH)
19.5.23920741637672928000872108534200.1	x^19 - x^18 - 6x^17 + 7x^16 + 13x^15 - 21x^14 - 16x^13 + 41x^12 + 10x^11 - 51x^10 + 5x^9 + 43x^8 - 19x^7 - 24x^6 + 18x^5 + 5x^4 - 11x^3 + 2x^2 + 3x - 1	\( -\,2^{3}\cdot 5^{2}\cdot 430709\cdot 19005923\cdot 14610723851226353 \)	$S_{19}$ (as 19T8)	Trivial (GRH)