Degrees of minimal polynomials having a Salem number under 1.3 as a root, sorted.

8, 10, 10, 10, 10, 10, 12, 14, 14, 14, 14, 16, 18, 18, 18, 18, 18, 18, 18, 20, 20, 20, 20, 22, 22, 22, 22, 24, 24, 26, 26, 26, 26, 26, 26, 26, 28, 30, 30, 30, 30, 34, 34, 36, 40, 44, 46

1

The coefficients of the polynomials are given in S000184. This is most likely a finite list.

T. D. Noe, Plot of 47 terms

nonn,nice

T. D. Noe, Aug 06 2014