Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclotomic matrices over real quadratic integer rings   We classify all cyclotomic matrices over real quadratic integer rings and we
show that this classification is the same as classifying cyclotomic matrices
over the compositum all real quadratic integer rings. Moreover, we enumerate a
related class of symmetric matrices; those matrices whose eigenvalues are
contained inside the interval [-2,2] but whose characteristic polynomials are
not in Z[x].

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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci