Braid #4

Braid group element: $\sigma_{1}^{3} \sigma_{2}^{-1} \sigma_{1}^{1} \sigma_{2}^{-1}\in B_{3}$
Plot:

Determinant: $$\frac{-t^{4} + 3t^{3} - 3t^{2} + 3t - 1}{t^{2}}$$ Signatures:

$-2$ $0$

Gael Collinet and Pierre Guillot, 2010.