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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
22.0.388...392.1	$x^{22} - 88 x^{20} - 66 x^{19} + 3135 x^{18} + 3762 x^{17} - 52415 x^{16} - 49896 x^{15} + 620873 x^{14} + 483450 x^{13} - 4596438 x^{12} - 2188980 x^{11} + 28614850 x^{10} + 10122948 x^{9} - 96420511 x^{8} - 18728094 x^{7} + 349976088 x^{6} + 90770922 x^{5} - 35720190 x^{4} - 275105160 x^{3} + 1197228681 x^{2} - 793159290 x + 8288294787$	$22$	[0,11]	$-\,2^{33}\cdot 11^{40}$	$2$	$221.302458809$	$221.30245880914455$	✓	✓		$C_{22}$ (as 22T1)	$[23, 34598509]$	$2$	$10$	$285114946276.13544$
22.0.270...611.1	$x^{22} - 9 x^{21} - 112 x^{20} + 1045 x^{19} + 5483 x^{18} - 55170 x^{17} - 113261 x^{16} + 1745278 x^{15} - 5270 x^{14} - 34466274 x^{13} + 58267605 x^{12} + 400502344 x^{11} - 1424328742 x^{10} - 1847606785 x^{9} + 17240521227 x^{8} - 17428198991 x^{7} - 90564489526 x^{6} + 285808707218 x^{5} - 50921455947 x^{4} - 1357787819668 x^{3} + 3508052324155 x^{2} - 4172241594415 x + 2276865982021$	$22$	[0,11]	$-\,11^{11}\cdot 199^{20}$	$2$	$407.908519195$	$407.90851919457526$	✓	✓	?	$C_{22}$ (as 22T1)	$[372188993]$	$2$	$10$	$117135822355.96071$

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