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"content": "It’s not hard to check that the determinant of my \\(C(j,n)\\) matrices is:\n\n\\[1+(j^2+4 j n+4 n^2)(1+\\omega+\\omega^2) = 1\\]\n\nAlso, the trace can be written as:\n\n\\[\\left(j+\\frac{3 n}{2}\\right)^2+\\frac{3 n^2}{4}+2 \\gt 0\\]",
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