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
23.19.21162307113254285003534815511322160672790793.1	x^23 - 2x^22 - 21x^21 + 41x^20 + 186x^19 - 354x^18 - 905x^17 + 1679x^16 + 2640x^15 - 4790x^14 - 4721x^13 + 8478x^12 + 5041x^11 - 9294x^10 - 2890x^9 + 6142x^8 + 560x^7 - 2310x^6 + 194x^5 + 432x^4 - 99x^3 - 26x^2 + 11x - 1	\( 3^{2}\cdot 31\cdot 61\cdot 12200617224119\cdot 101917126957405185189830413 \)	$S_{23}$ (as 23T7)	Trivial (GRH)
23.19.14377559532718296764738220607061160634463664772.1	x^23 - 2x^22 - 21x^21 + 37x^20 + 191x^19 - 284x^18 - 982x^17 + 1173x^16 + 3122x^15 - 2833x^14 - 6321x^13 + 4080x^12 + 8142x^11 - 3423x^10 - 6534x^9 + 1539x^8 + 3140x^7 - 283x^6 - 847x^5 - 17x^4 + 115x^3 + 12x^2 - 6x - 1	\( 2^{2}\cdot 3594389883179574191184555151765290158615916193 \)	$S_{23}$ (as 23T7)	Trivial (GRH)