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
12.4.202700943101784875881.1	x^12 - x^11 - 25x^10 + 18x^9 - 110x^8 - 65x^7 - 496x^6 + 4501x^5 - 1015x^4 - 7117x^3 - 5700x^2 - 10800x - 3375	\( 7^{8}\cdot 181^{6} \)	$C_4^2:C_3$ (as 12T31)	$[4]$
12.4.213838914125824000000.1	x^12 + 2x^10 - 82x^8 + 50x^6 + 595x^4 + 500x^2 + 25	\( 2^{24}\cdot 5^{6}\cdot 13^{8} \)	$C_4^2:C_3$ (as 12T31)	$[2]$
12.12.213838914125824000000.2	x^12 - 24x^10 + 152x^8 - 340x^6 + 335x^4 - 150x^2 + 25	\( 2^{24}\cdot 5^{6}\cdot 13^{8} \)	$C_4^2:C_3$ (as 12T31)	Trivial (GRH)
12.12.466835989961264594944.1	x^12 - 38x^10 + 450x^8 - 2106x^6 + 3679x^4 - 2028x^2 + 169	\( 2^{24}\cdot 7^{8}\cdot 13^{6} \)	$C_4^2:C_3$ (as 12T31)	Trivial (GRH)