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The DCT of an even function is comprised of just cosine coefficients, correct?

I'm playing around in MATLAB and I came up with a simple even function

1.0000

0.7500

0.5000

0.2500

0

0.2500

0.5000

0.7500

1.0000

0.7500

0.5000

0.2500

0

0

0

0

0

0

0.2500

0.5000

0.7500

1.0000

0.7500

0.5000

0.2500

0

0.2500

0.5000

0.7500

1.0000

But get imaginary as well as real outputs when I use the DFT on it. Which means that my function isn't even?

Can anyone help me make sense of this?

I'm playing around in MATLAB and I came up with a simple even function

1.0000

0.7500

0.5000

0.2500

0

0.2500

0.5000

0.7500

1.0000

0.7500

0.5000

0.2500

0

0

0

0

0

0

0.2500

0.5000

0.7500

1.0000

0.7500

0.5000

0.2500

0

0.2500

0.5000

0.7500

1.0000

But get imaginary as well as real outputs when I use the DFT on it. Which means that my function isn't even?

Can anyone help me make sense of this?

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