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
12.4.356241767399424.1	x^12 - 4x^11 + 6x^10 + 4x^9 - 21x^8 + 40x^7 - 28x^6 - 8x^5 + 25x^4 - 28x^3 + 10x^2 - 4x - 1	\( 2^{42}\cdot 3^{4} \)	$F_9$ (as 12T46)	Trivial
12.4.1071381814448517009.1	x^12 + 12x^10 - 19x^9 + 54x^8 - 171x^7 + 169x^6 - 513x^5 + 447x^4 - 573x^3 + 549x^2 - 180x + 16	\( 3^{12}\cdot 17^{10} \)	$F_9$ (as 12T46)	Trivial
12.12.21725231295502228150336.1	x^12 - 2x^11 - 50x^10 + 152x^9 + 656x^8 - 2680x^7 - 1932x^6 + 16202x^5 - 8325x^4 - 29882x^3 + 34578x^2 - 5214x - 1936	\( 2^{6}\cdot 113^{10} \)	$F_9$ (as 12T46)	Trivial (GRH)
12.12.21730832354890360782721.1	x^12 - 6x^11 - 49x^10 + 295x^9 + 944x^8 - 5362x^7 - 9466x^6 + 43559x^5 + 53355x^4 - 142246x^3 - 141909x^2 + 77376x + 3812	\( 17^{10}\cdot 47^{6} \)	$F_9$ (as 12T46)	Trivial (GRH)