Abstract
In 2019, Jung–Weber gave an example of a concrete magic unitary M, which defines a C * -algebraic model of the quantum permutation group S 4 + . We show with the help of a computer that there exist no polynomials up to degree 50 separating the entries of M from the generators of C ( S 4 + ) . This indicates that the magic unitary M might already define a faithful model of S 4 + .
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