Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The time complexity of some algorithms for generating the spectra of
  finite simple groups   The spectrum $\omega(G)$ is the set of orders of elements of $G$. We consider
the problem of generating the spectrum of a finite nonabelian simple group $G$
given by the degree of $G$ if $G$ is an alternating group, or the Lie type, Lie
rank and order of the underlying field if $G$ is a group of Lie type.

28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat