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 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
12.0.8393429706929569.1	x^12 - x^11 + 7x^10 - 7x^9 + 27x^8 - 23x^7 + 54x^6 - 50x^5 + 62x^4 - 61x^3 + 40x^2 - 29x + 11	\( 19^{10}\cdot 37^{2} \)	12T166	$[2]$
12.4.78287585045860969.1	x^12 - 4x^11 + 6x^10 - 6x^9 + 5x^8 - 20x^7 - x^6 + 33x^5 + 56x^4 + 91x^3 + 58x^2 + 32x + 8	\( 19^{10}\cdot 113^{2} \)	12T166	Trivial
12.8.139794441744120601.1	x^12 - 4x^11 + 2x^10 + 18x^9 - 48x^8 + 54x^7 - 44x^6 + 19x^5 + 86x^4 - 125x^3 + 5x^2 + 40x - 11	\( 19^{10}\cdot 151^{2} \)	12T166	Trivial
12.0.223667428150838281.1	x^12 + x^10 - 5x^9 + 4x^8 + 3x^7 + 46x^6 + 2x^5 + 90x^4 + 30x^3 + 60x^2 + 50x + 11	\( 19^{10}\cdot 191^{2} \)	12T166	$[2]$
12.4.666334875701477376.1	x^12 - 12x^10 - 8x^9 + 81x^8 - 216x^6 + 567x^4 - 216x^3 - 972x^2 + 1296x - 513	\( 2^{18}\cdot 3^{26} \)	12T166	Trivial
12.8.666334875701477376.1	x^12 - 12x^10 - 4x^9 + 18x^8 + 108x^7 - 132x^6 + 72x^5 - 288x^4 + 280x^3 - 48x + 8	\( 2^{18}\cdot 3^{26} \)	12T166	Trivial
12.12.2200287237093344935936.1	x^12 - 4x^11 - 30x^10 + 122x^9 + 201x^8 - 874x^7 - 428x^6 + 1524x^5 + 1066x^4 - 102x^3 - 148x^2 - 24x - 1	\( 2^{18}\cdot 19^{10}\cdot 37^{2} \)	12T166	Trivial
12.12.3012193227580789217296384.1	x^12 - 6x^11 - 30x^10 + 134x^9 + 279x^8 - 1016x^7 - 1008x^6 + 2954x^5 + 1640x^4 - 3000x^3 - 1114x^2 + 436x + 77	\( 2^{18}\cdot 19^{10}\cdot 37^{4} \)	12T166	Trivial (GRH)