Supplementary matierials

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The supplementary tables and figures provided in this manuscript support the findings of the study titled [Associations between Circulating Metabolites and Breast Cancer: a Bidirectional Two-sample Mendelian Randomization Study]. These materials offer additional data and visual representations that complement the main results. The supplementary tables present important statistical details, including the distribution of key variables and further analysis outcomes. Meanwhile, the figures visually illustrate significant trends and relationships identified throughout the research.

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