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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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Degree	Signature	Class number	Class group structure	CM field

Ramified prime count	Ramified	Unramified primes	Galois group	Galois

Discriminant	Root discriminant	Galois root discriminant	Regulator	Intermediate field

$p$-adic completions	Minimal sibling	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
15.5.330...999.1	$x^{15} - 2 x^{14} - 5995 x^{13} + 37278 x^{12} + 12591603 x^{11} - 125770086 x^{10} - 9981552889 x^{9} + 127789199194 x^{8} + 1679913052736 x^{7} - 14585961566768 x^{6} - 215344958988368 x^{5} + 7140439214752 x^{4} + 11110764946271360 x^{3} + 74237750960369664 x^{2} + 322453908130652160 x + 543122152076214272$	$15$	[5,5]	$-\,11^{12}\cdot 19^{5}\cdot 461^{13}$	$3$	$3697.48269811$	$7410.060971426012$				$S_3 \times C_5$ (as 15T4)	$[2, 2, 10, 8125610]$	$2$	$9$	$62905376746024980$

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