Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $F$-polynomials of tabulated virtual knots   A sequence of $F$-polynomials $\{ F^n_K (t, \ell)\}_{n=1}^{\infty}$ of
virtual knots $K$ was defined by Kaur, Prabhakar, and Vesnin in 2018. These
polynomials have been expressed in terms of index value of crossing and
$n$-writhe of $K$. By the construction, $F$-polynomials are generalizations of
the Kauffman's Affine Index Polynomial, and are invariants of virtual knot $K$.
We present values of $F$-polynomials of oriented virtual knots having at most
four classical crossings in a diagram.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: ao-sci