Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Imaginary quadratic fields with Cl_2(k) = (2,2,2)   In this article we classify the complex quadratic number fields k with
2-class group of type (2,2,2) whose Hilbert 2-class fields have a 2-class group
of rank 2, and then determine the length of their 2-class field towers.

36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci