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 6 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.4.8360278233280610761179136.1	x^16 + 8x^14 + 20x^12 + 8x^10 - 245x^8 - 884x^6 - 543x^4 + 618x^2 + 841	\( 2^{24}\cdot 163^{8} \)	16T1543	Trivial
16.4.8360278233280610761179136.2	x^16 + 3x^14 - 13x^12 - 48x^10 - 61x^8 - 63x^6 - 64x^4 - x^2 + 9	\( 2^{24}\cdot 163^{8} \)	16T1543	Trivial
16.0.49504953235652560005667952183459368974585759268864.1	x^16 + 1928x^14 + 1288880x^12 + 405962108x^10 + 65834061236x^8 + 5383868719400x^6 + 189111188166776x^4 + 1503056414236448x^2 + 15977927617600	\( 2^{36}\cdot 7687^{10} \)	16T1543	$[2, 2, 2, 2, 2, 4, 104987608]$ (GRH)
16.16.49504953235652560005667952183459368974585759268864.1	x^16 - 2012x^14 + 1318040x^12 - 318019388x^10 + 29852921084x^8 - 949291551944x^6 + 600456844856x^4 - 73454881136x^2 + 945439504	\( 2^{36}\cdot 7687^{10} \)	16T1543	$[2, 2]$ (GRH)
16.0.49504953235652560005667952183459368974585759268864.2	x^16 + 1500x^14 + 889640x^12 + 264096308x^10 + 40486683676x^8 + 2897987746232x^6 + 67780112968120x^4 + 460191898925712x^2 + 781198698804624	\( 2^{36}\cdot 7687^{10} \)	16T1543	$[2, 2, 2, 2, 2, 4, 161966728]$ (GRH)
16.16.49504953235652560005667952183459368974585759268864.2	x^16 - 1682x^14 + 875894x^12 - 186804404x^10 + 16802852192x^8 - 669027529184x^6 + 10976435368568x^4 - 64845664489472x^2 + 61960323334144	\( 2^{36}\cdot 7687^{10} \)	16T1543	$[2, 2]$ (GRH)