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
19.7.105491601716452677126377141804.1	x^19 - 3x^18 - x^17 + 15x^16 - 22x^15 - 6x^14 + 59x^13 - 70x^12 - 6x^11 + 106x^10 - 107x^9 + 92x^7 - 73x^6 - x^5 + 35x^4 - 19x^3 - x^2 + 4x - 1	\( 2^{2}\cdot 131\cdot 149\cdot 397\cdot 20117\cdot 218819\cdot 773146117559 \)	$S_{19}$ (as 19T8)	Trivial (GRH)
19.7.8322004363062341150231840635904.1	x^19 - 3x^18 - x^17 + 15x^16 - 22x^15 - 6x^14 + 59x^13 - 70x^12 - 6x^11 + 106x^10 - 107x^9 - x^8 + 92x^7 - 72x^6 - x^5 + 35x^4 - 19x^3 - x^2 + 4x - 1	\( 2^{10}\cdot 2746819\cdot 2958679616604904629509 \)	$S_{19}$ (as 19T8)	Trivial (GRH)