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Degree	Signature	Ramified prime count	Ramified	Unramified primes

Galois group	Field is	Intermediate field	Class group structure	Class number

Discriminant	Root discriminant	Galois root discriminant	CM field	Relative class number

Regulator	$p$ -adic completions	Monogenic	Index	Ines. $p$

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
12.0.5533670223904768.15	$x^{12} - 10 x^{8} + 4 x^{6} + 32 x^{4} + 22$	$12$	[0,6]	$2^{35}\cdot 11^{5}$	$2$	$20.5077385871$	$65.91296574252337$			?	$C_2^4:D_{12}$ (as 12T154)	trivial	$2$	$5$	$954.963497514$
12.0.54780521154084864.65	$x^{12} + 8 x^{10} + 34 x^{8} + 84 x^{6} + 132 x^{4} + 120 x^{2} + 54$	$12$	[0,6]	$2^{35}\cdot 3^{13}$	$2$	$24.8247859952$	$81.78028873248834$			?	$A_4^2:D_4$ (as 12T196)	trivial	$2$	$5$	$14043.4566$

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