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
12.0.1803751953125.1	x^12 - 6x^10 - 11x^9 + 6x^8 + 42x^7 + 45x^6 + 2x^5 - 22x^4 - 7x^3 + 6x^2 + 4x + 1	\( 5^{9}\cdot 31^{4} \)	$C_3\times C_3:S_3.C_2$ (as 12T73)	Trivial
12.0.20624432955392.1	x^12 - 4x^11 + 6x^10 - 13x^8 + 20x^7 - 6x^6 - 12x^5 + 14x^4 - 4x^3 + 4x^2 + 1	\( 2^{33}\cdot 7^{4} \)	$C_3\times C_3:S_3.C_2$ (as 12T73)	Trivial
12.12.54191813450093072.1	x^12 - 3x^11 - 12x^10 + 47x^9 - x^8 - 134x^7 + 102x^6 + 88x^5 - 118x^4 + 18x^3 + 21x^2 - 9x + 1	\( 2^{4}\cdot 13^{4}\cdot 17^{9} \)	$C_3\times C_3:S_3.C_2$ (as 12T73)	Trivial
12.12.11078561287986328125.1	x^12 - 42x^10 - 19x^9 + 639x^8 + 531x^7 - 4122x^6 - 4653x^5 + 9900x^4 + 13904x^3 - 4356x^2 - 11253x - 3509	\( 3^{18}\cdot 5^{9}\cdot 11^{4} \)	$C_3\times C_3:S_3.C_2$ (as 12T73)	Trivial (GRH)