Spectra of tetradiagonal real Toeplitz matrices

This page is a part of a joint work
by S. Grudsky, R. Higuera García, E. Maximenko, F. Vásquez Rojas.

We consider non-symmetric real Toeplitz matrices
generated by Laurent polynomials of the form

a(t) = a₋₁t⁻¹+a₀t⁰+a₂t².

Choose the coefficients:

The image of the symbol is shown by a black curve.

The Schmidt and Spitzer set consists of three red segments.

The eigenvalues correspond to the Toeplitz matrix T_n(a).

Please, select n: