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The operators $J$ and $R$ can be interpreted as basis (generating) elements of the complex Clifford algebra ${\\mathcal C}l_2(J,R):={span}\\{I, J, R, iJR\\}$. An arbitrary non-trivial fundamental symmetry from ${\\mathcal C}l_2(J,R)$ is determined by the formula $J_{\\vec{\\alpha}}=\\alpha_{1}J+\\alpha_{2}R+\\alpha_{3}iJR$, where ${\\vec{\\alpha}}\\in\\mathbb{S}^2$.\n  Let $S$ be a symmetric operator that commutes with ${\\mathcal C}l_2(J,R)$. 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