Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $4 \times 4$ minors of a $5 \times 5$ symmetric matrix are a
  tropical basis   This paper proves the $4 \times 4$ minors of a $5 \times 5$ symmetric matrix
of indeterminates are a tropical basis.

30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph