Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the Galois group of a polynomial over a $p$-adic field   We present a family of algorithms for computing the Galois group of a
polynomial defined over a $p$-adic field. Apart from the "naive" algorithm,
these are the first general algorithms for this task. As an application, we
compute the Galois groups of all totally ramified extensions of $\mathbb{Q}_2$
of degrees 18, 20 and 22, tables of which are available online.

34
The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: supr-con