Initial data commit
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Fourier[{1,1,1,1,0,0,0,0}, FourierParameters->{1,-1}]
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fft[{x_}] := {N@x}
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fft[l__] :=
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Join[#, #] &@fft@l[[1 ;; ;; 2]] +
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Exp[(-2 \[Pi] I)/Length@l (Range@Length@l - 1)] (Join[#, #] &@
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fft[l[[2 ;; ;; 2]]])
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fft[{1, 1, 1, 1, 0, 0, 0, 0}] // Column
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