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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 Discriminant Galois group Class group Regulator
22.2.130...000.1 $x^{22} - 1100000000000000000000 x - 10500000000000000000000$ $2^{26}\cdot 3^{22}\cdot 5^{20}\cdot 7^{20}\cdot 11^{22}$ $A_{22}$ (as 22T58) trivial $18667522631200000000000000000$
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