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These Toda lattices consist of $2^{N-1}$ different systems with hamiltonians $H = (1/2) \\sum_{k=1}^{N} y_k^2 + \\sum_{k=1}^{N-1} s_ks_{k+1} \\exp(x_k-x_{k+1})$, where $s_i=\\pm 1$. We compactify the manifolds by adding infinities according to the Toda flows which blow up in finite time except the case with all $s_is_{i+1}=1$. 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The manifolds are described by the iso-spectral flows of indefinite Toda lattice equations introduced by the authors [Physica, 91D (1996), 321-339]. These Toda lattices consist of $2^{N-1}$ different systems with hamiltonians $H = (1/2) \\sum_{k=1}^{N} y_k^2 + \\sum_{k=1}^{N-1} s_ks_{k+1} \\exp(x_k-x_{k+1})$, where $s_i=\\pm 1$. We compactify the manifolds by adding infinities according to the Toda flows which blow up in finite time except the case with all $s_is_{i+1}=1$. 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