Question: Why is Maple giving me a non-zero answer?

If I have a tensor T[mu,nu,alpha] in 3-dimensions which is symmetric on {mu,nu} and anti-symmetric on {nu,alpha}, then the number of independent components should be zero. However, if I put this into Maple, using Library:-MinimizeTensorComponents followed by Library:-NumberOfIndependentTensorComponents it returns 4.

Any insight into why it does this would be great, thanks.

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