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
12.0.42553255797.1	x^12 - x^9 + 5x^8 - 2x^7 - x^6 - 7x^5 + 8x^4 - 4x^3 + 5x^2 - 4x + 1	\( 3^{6}\cdot 13^{3}\cdot 163^{2} \)	12T167	Trivial
12.0.74880094208.1	x^12 - 2x^11 + 2x^10 - 2x^9 + 5x^8 - 10x^7 + 14x^6 - 16x^5 + 17x^4 - 14x^3 + 9x^2 - 4x + 1	\( 2^{12}\cdot 17^{3}\cdot 61^{2} \)	12T167	Trivial
12.0.6220120250000.1	x^12 - 3x^11 + 4x^10 - x^9 - 5x^8 + 5x^7 - 4x^6 + 3x^5 + 3x^4 - 2x^3 + 4x^2 - 2x + 1	\( 2^{4}\cdot 5^{6}\cdot 19^{2}\cdot 41^{3} \)	12T167	Trivial
12.0.6220120250000.2	x^12 - x^11 + 6x^10 - 8x^9 + 19x^8 - 21x^7 + 37x^6 - 35x^5 + 39x^4 - 28x^3 + 26x^2 - 15x + 5	\( 2^{4}\cdot 5^{6}\cdot 19^{2}\cdot 41^{3} \)	12T167	Trivial
12.6.17553188089827.1	x^12 - 2x^11 - 5x^10 + 13x^9 + 6x^8 - 30x^7 + 5x^6 + 26x^5 - 16x^4 - 6x^3 + 9x^2 - x - 1	\( -\,3^{3}\cdot 13^{6}\cdot 367^{2} \)	12T167	Trivial
12.6.34930764000000.1	x^12 - 4x^11 + 4x^10 + 7x^9 - 25x^8 + 10x^7 + 19x^6 - 14x^5 + 17x^4 - 15x^3 - 11x^2 + 11x - 1	\( -\,2^{8}\cdot 3^{8}\cdot 5^{6}\cdot 11^{3} \)	12T167	Trivial
12.12.2093934172250000.1	x^12 - 13x^10 - x^9 + 56x^8 + 9x^7 - 102x^6 - 25x^5 + 79x^4 + 28x^3 - 20x^2 - 10x - 1	\( 2^{4}\cdot 5^{6}\cdot 89^{3}\cdot 109^{2} \)	12T167	Trivial
12.12.9409185122328125.1	x^12 - 5x^11 - x^10 + 37x^9 - 37x^8 - 68x^7 + 111x^6 + 10x^5 - 79x^4 + 28x^3 + 10x^2 - 7x + 1	\( 5^{6}\cdot 29^{3}\cdot 4969^{2} \)	12T167	Trivial