  Let $A = (a_1,\dots,a_n)\in \mathbb{Z}^n$ be a sequence with sum $k(2g-2+n)$.
The double ramification cycle $\mathsf{DR}_g(A) \in
\mathsf{CH}^g(\bar{\mathcal{M}}_{g,n})$ is the virtual class of the locus of
curves $(C,p_1,\dots,p_n)$ where the line bundle
$(\omega_C^{\log})^{-k}\left(\sum a_i p_i\right)$ is trivial. Although there
has long been a formula for $\mathsf{DR}_g(A)$ [JPPZ17], the exact dependence
on $A$ was unknown for a long time, though it was conjectured to be polynomial
in $A$. A proof was announced in [JPPZ17], and Pixton gave a proof
incorporating ideas of Zagier in [Pix23]. Here we present an alternative proof
of the polynomiality of the double ramification cycle.
