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The Nakamura Conjecture Revisited: Toda Molecules and Stationary Axisymmetric Gravity
We revisit the Nakamura conjecture, which relates the Tomimatsu-Sato solutions of stationary axisymmetric gravity to finite Toda molecules. While the conjecture has been established partially, its general rotating sector remains an open problem. We show that the Toda determinants underlying the co
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