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The Permanent-on-Top conjecture was proved false after about 50 years. It was stated in 1966, which conjectured that the largest eigenvalue of the Schur power of a positive definite Hermitian matrix is the permanent of that matrix. It was similar to the result of Schur that the smallest eigenvalue of the Schur power matrix of the same positive definite Hermitian matrix is the determinant of the matrix.

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