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 12 matches)

Label	Polynomial	Discriminant	Galois group	Class group
12.2.738751981811.1	x^12 - 3x^11 + 4x^10 - x^9 - 6x^8 + 9x^7 - 2x^6 - 8x^5 + 8x^4 - x^3 - 4x^2 + 3x - 1	\( -\,79^{2}\cdot 491^{3} \)	12T281	Trivial
12.2.742534191307.1	x^12 - 5x^11 + 10x^10 - 6x^9 - 10x^8 + 21x^7 - 10x^6 - 8x^5 + 10x^4 + 2x^3 - 8x^2 + 5x - 1	\( -\,181^{2}\cdot 283^{3} \)	12T281	Trivial
12.0.7021393590528.1	x^12 - 2x^11 + 7x^9 - 3x^8 - 11x^7 + 12x^6 + 11x^5 - 10x^4 - 6x^3 + 3x^2 + 3x + 1	\( 2^{8}\cdot 3^{4}\cdot 17^{3}\cdot 41^{3} \)	12T281	Trivial
12.0.7304778453248.1	x^12 - x^11 + 4x^10 - 5x^9 + 7x^8 - 5x^7 + 17x^6 - 18x^5 + 12x^4 - x^3 + 4x^2 - 6x + 2	\( 2^{8}\cdot 41^{2}\cdot 257^{3} \)	12T281	Trivial
12.6.11044821743108352.1	x^12 - 12x^10 - x^9 + 54x^8 + 9x^7 - 111x^6 - 27x^5 + 99x^4 + 31x^3 - 27x^2 - 12x - 2	\( -\,2^{8}\cdot 3^{12}\cdot 433^{3} \)	12T281	Trivial
12.6.14406379189516224.1	x^12 - 7x^9 - 27x^8 - 12x^7 - 11x^6 + 27x^5 + 156x^4 + 115x^3 + 18x^2 + 24x + 8	\( -\,2^{6}\cdot 3^{12}\cdot 751^{3} \)	12T281	Trivial
12.8.100715972444319744.1	x^12 - 12x^10 - 8x^9 + 54x^8 + 72x^7 - 89x^6 - 216x^5 - 33x^4 + 206x^3 + 171x^2 + 30x - 7	\( 2^{12}\cdot 3^{12}\cdot 359^{3} \)	12T281	Trivial
12.8.201419940202795008.1	x^12 - 3x^11 - 10x^10 + 40x^9 + 18x^8 - 189x^7 + 71x^6 + 382x^5 - 201x^4 - 299x^3 + 23x^2 + 19x + 1	\( 2^{12}\cdot 3^{8}\cdot 19^{3}\cdot 103^{3} \)	12T281	Trivial
12.4.71475000710547320064.1	x^12 + 21x^10 - 14x^9 + 117x^8 - 156x^7 + 187x^6 - 270x^5 + 99x^4 + 176x^3 - 216x^2 + 96x - 16	\( 2^{8}\cdot 3^{12}\cdot 8069^{3} \)	12T281	Trivial
12.12.131060881871558480448.1	x^12 - 33x^10 - 9x^9 + 351x^8 + 150x^7 - 1248x^6 - 405x^5 + 1119x^4 + 217x^3 - 324x^2 - 36x + 24	\( 2^{6}\cdot 3^{14}\cdot 7537^{3} \)	12T281	Trivial
12.12.640942415775950312448.1	x^12 - 33x^10 - 36x^9 + 333x^8 + 666x^7 - 691x^6 - 2448x^5 - 1062x^4 + 1034x^3 + 540x^2 - 144x - 24	\( 2^{10}\cdot 3^{14}\cdot 5077^{3} \)	12T281	Trivial
12.4.1718868156618354031872.1	x^12 + 18x^10 - 12x^9 + 72x^8 - 96x^7 - 103x^6 + 270x^5 - 909x^4 + 1984x^3 - 1944x^2 + 864x - 144	\( 2^{8}\cdot 3^{14}\cdot 11197^{3} \)	12T281	Trivial