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revBot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div>Prove that the only Hadamard matrix at <math>N=5</math> is the Fourier matrix, <math display="block"> F_5=\begin{pmatrix} 1&1&1&1&1\\ 1&w&w^2&w^3&w^4\\ 1&w^2&w^4&w&w^3\\ 1&w^3&w&w^4&w^2\\ 1&w^4&w^3&w^2&w \end{pmatrix} </math> with <math>w=e^{2\pi i/5}</math>, up to the standard equivalence relation for such matrices.")Apr 20'25 at 1:30+388