  For a peculiar family of double braid knots there is a remarkable
factorization formula for the coefficients of the differential (cyclotomic)
expansion (DE), which nowadays is widely used to construct the exclusive Racah
matrices $S$ and $\bar S$ in arbitrary representations. The origins of the
factorization remain obscure and the special role of double braids remains a
mystery. In an attempt to broaden the perspective, we extend the family of
double braids to antiparallel triple pretzels, which are obtained by the
defect-preserving deformation from the trefoil and all have defect zero. It
turns out that factorization of DE coefficients is violated quite strongly,
still remains described by an elegant formula, at least for all symmetric
representations.
