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Symmetric Eigenvalue Spectrum API

Compute the sorted real eigenvalues of a bounded symmetric matrix by Jacobi rotations.

Compute the sorted real eigenvalues of a bounded symmetric matrix by Jacobi rotations. Jacobi rotations on an exactly symmetric supplied real square matrix, size at most 12. At most 5000 rotations, off-diagonal tolerance 1e-12 times maximum magnitude; nonconvergence rejects. Sorted approximate eigenvalues, trace and determinant; out-of-range determinant is null. No unique eigenvector or conditioning claim. Uses supplied non-sensitive data only. No live account access, automatic changes or certification. Calculation profile 1.0.0; approximate non-integer numeric outputs use twelve significant digits; representable safe integer numbers and declared decimal-string integers are preserved.

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