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We don't know the actual nature of the reproduction of manuscripts. Students take at least two graduate term courses in the junior year (normally courses in algebra or analysis are the first graduate courses taken). The equivariant Tamagawa number conjecture (ETNC) formulated by Burns and Flach is a very general conjecture that relates locally defined complex analytic objects to certain arithmetic objects. Hence b, c, A are determined without any ambiguity, and there is no impossible case.
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