Surfaces and hypersurfaces as the joint spectrum of matrices

The Clifford spectrum is an elegant way to define the joint of several Hermitian operators. Examples as small a triple 2×2 matrices can have that two-dimensional manifold. To date, there are very few noncommuting examples where has been computed. Our main goal generation various three or four we calculate spectrum. In some cases, our results rigorous, perhaps involving assistance from computer algebra package. other rely on estimation plot We make conjectures, for example, regarding possible spaces appear spectra.