Let \bigotimes _{i=1}^{s}F[\widetilde{A}_{n_i}^{p_i}] be the tensor product of the path algebras of quivers of type \widetilde{A}_{n_i}^{p_i}, i=1,\dots,s. In this paper, we derive a formula for the Coxeter polynomial of \bigotimes _{i=1}^{s}F[\widetilde{A}_{n_i}^{p_i}]. For all k \in \mathbb{N}, let \omega_k be the number of Jordan blocks of order k of the Jordan normal form in the Coxeter transformations of \bigotimes _{i=1}^{s}F[\widetilde{A}_{n_i}^{p_i}]. Then we show that k ranges from 1 to s+1 and we calculate all of \omega_1,\cdots,\omega_{s+1}. Finally, we show that the weight n_1,\cdots,n_s of \bigotimes _{i=1}^{s}F[\widetilde{A}_{n_i}^{p_i}] can be recovered from \omega_1,\cdots,\omega_{s+1} (with no regard of the order of n_i).
