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Let $S$ be the algebra of polynomial functions on $V.$ For $H \\in {\\cal A}$ choose $\\alpha_H \\in V^*$ such that $H = {\\rm ker}(\\alpha_H).$ For each nonnegative integer $m$, define the derivation module $\\sD^{(m)}({\\cal A}) = \\{\\theta \\in {\\rm Der}_S | \\theta(\\alpha_H) \\in S \\alpha^m_H\\}$. The module is known to be a free $S$-module of rank $\\ell$ by K. Saito (1975) for $m=1$ and L. Solomon-H. 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Let $G \\subset O(V)$ be a finite irreducible orthogonal reflection group. Let ${\\cal A}$ be the corresponding Coxeter arrangement. Let $S$ be the algebra of polynomial functions on $V.$ For $H \\in {\\cal A}$ choose $\\alpha_H \\in V^*$ such that $H = {\\rm ker}(\\alpha_H).$ For each nonnegative integer $m$, define the derivation module $\\sD^{(m)}({\\cal A}) = \\{\\theta \\in {\\rm Der}_S | \\theta(\\alpha_H) \\in S \\alpha^m_H\\}$. The module is known to be a free $S$-module of rank $\\ell$ by K. Saito (1975) for $m=1$ and L. Solomon-H. 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