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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
13.9.737652920184769.1	$x^{13} - 2 x^{12} - 8 x^{11} + 17 x^{10} + 21 x^{9} - 53 x^{8} - 19 x^{7} + 75 x^{6} - 48 x^{4} + 5 x^{3} + 12 x^{2} - x - 1$	$13$	[9,2]	$737652920184769$	$1$	$13.9213364037$	$27159766.57088144$			✓	$S_{13}$ (as 13T9)	trivial	$2$	$10$	$394.327696405$
13.9.748906923760081.1	$x^{13} - x^{12} - 8 x^{11} + 3 x^{10} + 28 x^{9} - 50 x^{7} - 3 x^{6} + 44 x^{5} - 4 x^{4} - 17 x^{3} + 5 x^{2} + 2 x - 1$	$13$	[9,2]	$364027\cdot 2057284003$	$2$	$13.9375602364$	$27366163.848082196$			?	$S_{13}$ (as 13T9)	trivial	$2$	$10$	$397.580907117$

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