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Bohemian Matrices

Doubly Companion 19x19
A density plot in the complex plane of the Bohemian eigenvalues of a sample of 10 million 19x19 (p=18) doubly companion matrices: [α1α2αpαp+1βp+1100βp010βp1001β1] with αk{1,1}, and βk{1,1}. Color represents the eigenvalue density and the plot is viewed on [-1.7-1.7i, 1.7+1.7i].