Braid #82

Braid group element: $\sigma_{1}^{2} \sigma_{2}^{1} \sigma_{1}^{2} \sigma_{3}^{-1} \sigma_{2}^{1} \sigma_{1}^{-1} \sigma_{2}^{1} \sigma_{3}^{2}\in B_{4}$
Plot:

Determinant: $$\frac{3t^{4} - 6t^{3} + 7t^{2} - 6t + 3}{t^{2}}$$ Signatures:

$-4$ $-2$ $0$

Gael Collinet and Pierre Guillot, 2010.