Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On linear $n$-colorings for knots   If a knot has the Alexander polynomial not equal to 1, then it is linear
$n$-colorable.
  By means of such a coloring, such a knot is given an upper bound for the
minimal quandle order, i.e., the minimal order of a quandle with which the knot
is quandle colorable.
  For twist knots, we study the minimal quandle orders in detail.

4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org