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Question: discrete fourier transform should gives real number of a vector, but not,why

Question:discrete fourier transform should gives real number of a vector, but not,why

zippon 55 Maple
fourier
May 22 2013
1
construct a vector with entries of symmetric real parts and anti-symatric imaginary parts,such as v:=<1+2I,5+3I,9+4I,9-4I,5-3I,1-2I>;DiscreteTransforms[FourierTransform](v);By property of fourier transform,the result should be real numbers,but it is not this. Imaginary parts not vanish
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