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Define \\begin{align*} \\sigma^*:=\\max\\limits_{i,j\\leq n}\\sqrt{{\\mathbb E}\\,|A_{i,j}|^2}, \\quad \\sigma:=\\max\\bigg(\\max\\limits_{j\\leq n}\\sqrt{{\\mathbb E}\\,\\|{\\rm col}_j(A)\\|_2^2}, \\max\\limits_{i\\leq n}\\sqrt{{\\mathbb E}\\,\\|{\\rm row}_i(A)\\|_2^2}\\bigg). \\end{align*} Assume that $\\sigma\\geq n^\\varepsilon\\,\\sigma^*$ for a constant $\\varepsilon>0$, and that a complex number $z$ satisfies $|z|=\\Omega(\\sigma)$. 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