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
12.4.1271035441709056.1	x^12 - 8x^10 - 8x^9 + 16x^8 + 40x^7 + 28x^6 - 24x^5 - 69x^4 - 72x^3 - 44x^2 - 16x - 2	\( 2^{42}\cdot 17^{2} \)	12T173	Trivial
12.4.27448208275800064.1	x^12 - 8x^10 - 8x^9 + 10x^8 + 8x^7 + 20x^6 + 8x^5 - 103x^4 + 152x^3 - 100x^2 + 32x - 4	\( 2^{42}\cdot 79^{2} \)	12T173	Trivial
12.12.5163100639119934488576.1	x^12 - 36x^10 - 24x^9 + 450x^8 + 600x^7 - 2068x^6 - 4536x^5 + 783x^4 + 9480x^3 + 10152x^2 + 4512x + 752	\( 2^{42}\cdot 3^{12}\cdot 47^{2} \)	12T173	Trivial (GRH)
12.12.389564070169810821125481.1	x^12 - 57x^10 - 46x^9 + 1008x^8 + 1686x^7 - 5136x^6 - 13851x^5 - 4629x^4 + 10413x^3 + 7236x^2 - 603x - 871	\( 3^{16}\cdot 17^{10}\cdot 67^{2} \)	12T173	Trivial (GRH)