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I failed this audit today: Is $x_1^2+x_2^2+\ldots+x_{2020}^2=-1$ solvable in $\mathbb{Q}(\sqrt[3]{2}\zeta_3)$? This post is a standard example of problem-statement questions with no context such as what the OP has tried and where the question comes from, yet it received 5 up votes and was p...