Global number field search results

Further refine search

Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 14 matches)

Label	Polynomial	Discriminant	Galois group	Class group
12.0.59767578125.1	x^12 - 5x^11 + 13x^10 - 21x^9 + 24x^8 - 21x^7 + 18x^6 - 17x^5 + 15x^4 - 9x^3 + 4x^2 - 2x + 1	\( 5^{9}\cdot 71\cdot 431 \)	12T264	Trivial
12.0.82384765625.1	x^12 - 2x^11 + 6x^9 - 8x^8 - x^7 + 12x^6 - 9x^5 - 3x^4 + 8x^3 - 2x^2 - 2x + 1	\( 5^{9}\cdot 42181 \)	12T264	Trivial
12.4.4956392259584.1	x^12 - 4x^11 + 6x^10 - 15x^8 + 20x^7 - 6x^6 - 12x^5 + 14x^4 - 4x^3 + 1	\( 2^{33}\cdot 577 \)	12T264	Trivial
12.6.158072000000000.1	x^12 - 4x^9 - 5x^8 + 6x^6 + 10x^5 + 5x^4 - 4x^3 - 5x^2 + 1	\( -\,2^{12}\cdot 5^{9}\cdot 19759 \)	12T264	Trivial
12.6.212803927734375.1	x^12 + x^10 - 4x^9 - 4x^8 - 3x^7 + 2x^6 + 8x^5 + 4x^4 - 4x^2 - x + 1	\( -\,3^{6}\cdot 5^{9}\cdot 149459 \)	12T264	Trivial
12.4.574915732307968.1	x^12 - 4x^9 - 4x^8 + 6x^6 + 8x^5 + 2x^4 - 4x^3 - 4x^2 + 1	\( 2^{33}\cdot 17\cdot 31\cdot 127 \)	12T264	Trivial
12.8.2429929287319552.1	x^12 - 4x^11 - 2x^10 + 24x^9 - 15x^8 - 44x^7 + 46x^6 + 28x^5 - 40x^4 - 4x^3 + 12x^2 - 1	\( 2^{33}\cdot 282881 \)	12T264	Trivial
12.8.3531579275390625.1	x^12 - 7x^10 - 4x^9 + 14x^8 + 21x^7 - 2x^6 - 28x^5 - 20x^4 + 4x^3 + 14x^2 + 7x + 1	\( 3^{6}\cdot 5^{9}\cdot 29\cdot 31^{2}\cdot 89 \)	12T264	Trivial
12.12.4663778923828125.1	x^12 - x^11 - 12x^10 + 9x^9 + 53x^8 - 27x^7 - 106x^6 + 34x^5 + 96x^4 - 17x^3 - 32x^2 + 2x + 1	\( 3^{6}\cdot 5^{9}\cdot 29\cdot 179\cdot 631 \)	12T264	Trivial
12.12.4961330525390625.1	x^12 - 5x^11 - x^10 + 34x^9 - 19x^8 - 83x^7 + 50x^6 + 92x^5 - 37x^4 - 47x^3 + 6x^2 + 9x + 1	\( 3^{6}\cdot 5^{9}\cdot 3484501 \)	12T264	Trivial
12.10.44644157912109375.1	x^12 - 12x^10 + 54x^8 - 118x^6 + 141x^4 - 15x^3 - 90x^2 + 45x - 5	\( -\,3^{18}\cdot 5^{9}\cdot 59 \)	12T264	Trivial
12.10.222244762500000000.1	x^12 - x^11 - 6x^10 - 10x^9 + 25x^8 + 74x^7 - 59x^6 - 119x^5 + 35x^4 + 45x^3 - 11x^2 - 4x + 1	\( -\,2^{8}\cdot 3^{6}\cdot 5^{11}\cdot 29^{3} \)	12T264	Trivial
12.8.2063399630137196544.1	x^12 - 12x^10 - 8x^9 + 18x^8 + 48x^7 + 120x^6 + 72x^5 + 57x^4 - 108x^2 - 48x - 4	\( 2^{35}\cdot 3^{12}\cdot 113 \)	12T264	Trivial
12.8.4966767251303694336.1	x^12 - 12x^10 - 8x^9 + 54x^8 + 72x^7 - 180x^6 - 216x^5 + 513x^4 + 120x^3 - 648x^2 + 288x - 16	\( 2^{39}\cdot 3^{12}\cdot 17 \)	12T264	Trivial