Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Threaded Gr\"{o}bner Bases: a Macaulay2 package   The complexity of Gr\"{o}bner computations has inspired many improvements to
Buchberger's algorithm over the years. Looking for further insights into the
algorithm's performance, we offer a threaded implementation of classical
Buchberger's algorithm in {\it Macaulay2}. The output of the main function of
the package includes information about {\it lineages} of non-zero remainders
that are added to the basis during the computation. This information can be
used for further algorithm improvements and optimization.

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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: adap-org