The conjecture that the coordinator polynomial of order 105 is not palindromic

Let $h_{105}(x)$ be the coordinator polynomial of the lattice $\mathbb Z[\zeta_{105}]$ with respect to the set of all $105$th roots of unity. A polynomial is palindromic if its coefficients are symmetric about its middle coefficient. The order-105 non-palindromicity conjecture. The coordinator polynomial $h_{105}(x)$ is not palindromic. The paper offers this as the first non-trivial case not covered by its results and gives it as a conjecture based on the available computational evidence.