Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the degree of a lattice ideal of dimension one   We show that the degree of a graded lattice ideal of dimension 1 is the order
of the torsion subgroup of the quotient group of the lattice. This gives an
efficient method to compute the degree of this type of lattice ideals.

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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin