I was drawing out the multiplication table in "matrix" form (a 12 by 12 matrix) for a friend trying to pass the GED (yes, sad, I know) and noticed for the first time that the entries on the diagonal are real, i.e. the squares (1, 4, 9, 16, ...), and the off diagonal elements are real and complex conjugates of each other.

Since Hermitian operators or matrices are usually associated with some observable, I wondered, what might the 12 by 12 matrix of multiplication products represent in this sense? I'm guessing the answer is "nothing", but I just wanted to see...

Since Hermitian operators or matrices are usually associated with some observable, I wondered, what might the 12 by 12 matrix of multiplication products represent in this sense? I'm guessing the answer is "nothing", but I just wanted to see...

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