A New Algorithm for the Petrov Classification of the Weyl Tensor

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A new algorithm for the Petrov classification of the Weyl tensor is introduced. It is similar to the Letniowski-McLenaghan algorithm [1] when some of the Ψ's are zero, but offers a completely new approach when all of the Ψ's are nonzero. In all cases, new code in Maple has been implemented.

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