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At $(u_0,h)=(0.01,0.05)$ we exhibit an explicit $5\\times5$ Toeplitz minor whose determinant is rigorously enclosed in $[-1.8472496\\times10^{-9},-1.8472225\\times10^{-9}]$. The certificate uses 80-digit outward-rounded interval arithmetic and a proved truncation bound for the theta series. Eight further configurations are certified by both an explicit Leibniz expansion and an independent interval determinant computation. 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At $(u_0,h)=(0.01,0.05)$ we exhibit an explicit $5\\times5$ Toeplitz minor whose determinant is rigorously enclosed in $[-1.8472496\\times10^{-9},-1.8472225\\times10^{-9}]$. The certificate uses 80-digit outward-rounded interval arithmetic and a proved truncation bound for the theta series. Eight further configurations are certified by both an explicit Leibniz expansion and an independent interval determinant computation. 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