Consider a non-associative commutative unital algebra of finite dimension where the product is defined by a Cayley table such that elements are generated with real number coefficients $(a_0, \dots, a_n) $ for a basis $\{1, i_1, \dots, i_n \}$ and we have a basis so that $ i_k^2 \in \{ -1, +1 \}$....

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