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The query [[Uses::Characters are algebraic integers]] was answered by the SMWSQLStore3 in 0.0103 seconds.

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Conjugacy class of prime power size implies not simple, Degree of irreducible representation divides order of group, Field generated by character values is contained in a cyclotomic extension of rationals, Irreducible character of degree greater than one takes value zero on some conjugacy class, Zero-or-scalar lemma