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Let $h_{k,\\ i}$ be an element of $R$ for all $k\\in\\mathbb Z$ and $i\\in [n]$. For any $\\alpha\\in\\mathbb Z^n$, we define \\[ t_{\\alpha}:=\\det\\begin{pmatrix} h_{\\alpha_1+1,\\ 1} & h_{\\alpha_1+2,\\ 1} & \\cdots & h_{\\alpha_1+n,\\ 1}\\\\ h_{\\alpha_2+1,\\ 2} & h_{\\alpha_2+2,\\ 2} & \\cdots & h_{\\alpha_2+n,\\ 2}\\\\ \\vdots & \\vdots & \\ddots & \\vdots\\\\ h_{\\alpha_n+1,\\ n} & h_{\\alpha_n+2,\\ n} & \\cdots & h_{\\alpha_n+n,\\ n} \\end{pmatrix} \\in R \\] (where $\\alpha_i$ denotes the $i$-th entry of $\\alpha$). 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