Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An explicit integral polynomial whose splitting field has Galois group
  W(E_8)   Using the principle that characteristic polynomials of matrices obtained from
elements of a reductive group over a number field typically have splitting
field with Galois group isomorphic to its Weyl group, we construct an explicit
monic integral polynomial of degree 240 whose splitting field has Galois group
the Weyl group of the exceptional group of type E_8.

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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin