As the coefficients of a polynomial p_t(z) tranverse a path in the complex plane C, the roots trace out a braid in [a,b] x C.

Here is an example where

p_t(z) = z^6 + 2t^2 z - t
and t traverses the unit circle |t|=1 twice. Each vertical slice gives the (real parts) of the roots to p_t(z) = 0 for a particular value of t.

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