Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sums of squares in Macaulay2   The Macaulay2 package SumsOfSquares decomposes polynomials as sums of
squares. It is based on methods to rationalize sum-of-squares decompositions
due to Parrilo and Peyrl. The package features a data type for sums-of-squares
polynomials, support for external semidefinite programming solvers, and
optimization over varieties.

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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc