Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A symmetry property of some harmonic algebraic curves   The aim of this note is to give a surprising symmetry property of some
harmonic algebraic curves: when all the roots $z_i$ of a complex polynomial $P$
lie on the unit circle $\U$, the points of $\U$ different from the $z_i$, and
such that $\Arg(P(z))=\theta$, form a regular $n$-gon, where $n$ is the degree
of $P$.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat