Inverse Eigenvalue Problem of Unitary Hessenberg Matrices

Table 1

{𝝆_𝐢}^𝟓_𝐢=𝟏,{𝜶_𝐢}^𝟒_𝐢=𝟏,{𝜸_𝐢}^𝟓_𝐢=𝟏.

𝑖	𝜌𝑖	𝛼𝑖	𝛾𝑖
1	−0.8660−0.5000𝑖	−0.2265−0.0451𝑖	−0.7588−0.4471𝑖
2	0.9239+0.3827𝑖	−0.4727−0.0442𝑖	0.7083+0.2501𝑖
3	−0.7584−0.6517𝑖	−0.7675−0.3218𝑖	−0.4766−0.2591𝑖
4	0.3747+0.9271𝑖	−1.3652−0.2759𝑖	−0.0169+0.0574𝑖
5	−0.4458−0.8951𝑖	—	−0.4458−0.8951𝑖