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
19.17.1620029741813654467218919055595340036.1	x^19 - 4x^18 - 12x^17 + 60x^16 + 46x^15 - 352x^14 - 35x^13 + 1037x^12 - 167x^11 - 1652x^10 + 409x^9 + 1450x^8 - 351x^7 - 696x^6 + 130x^5 + 178x^4 - 20x^3 - 22x^2 + x + 1	\( -\,2^{2}\cdot 29^{2}\cdot 481578401252572671587074630081849 \)	$S_{19}$ (as 19T8)	Trivial (GRH)
19.17.8305735328592507451379964457808470243.1	x^19 - 5x^18 - 8x^17 + 71x^16 - 9x^15 - 391x^14 + 254x^13 + 1082x^12 - 915x^11 - 1650x^10 + 1444x^9 + 1428x^8 - 1109x^7 - 691x^6 + 400x^5 + 177x^4 - 62x^3 - 22x^2 + 3x + 1	\( -\,541\cdot 919\cdot 1097\cdot 225221\cdot 232073\cdot 291356817597358517 \)	$S_{19}$ (as 19T8)	Trivial (GRH)