Word Count : 103

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Consider (A={z\in\mathbb{C}^* \mid |z|\in\mathbb{Q}}). For ((\mathbb{C}^*,\cdot)): The set (A) is nonempty since (1\in A) and (|1|=1\in\mathbb{Q}). If __________ ____ ________ _______ ______ _______ __________ ____ ________ ________.
_________ ___ ____ _______ ____ ________ _____ _____ __________.
____ ___ ___ ________ __________ __________.
______ ___ ____ ________ __________ ___ _______.
___ _______ _________ __________ ____ _______ _____ ____ ___.
______ _________ _______ _____ ______ _________ __________ ___ ________.
_________ _______ _______ ___ _____ ____ __________ ______.
______ __________ ____ _______ _________ _________ ____ ___ _____ _________ ______ ___.
_________ __________ _____ ________ _________ ________ ____ ____ ____.
_________ ________ ______ __________ ___ ______ ______.
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