Symmetries and hidden symmetries of (

In this paper we analyze symmetries, hidden and commensurability classes of $(\epsilon, d_L)$-twisted knot complements, which are the complements knots that have a sufficiently large number twists in each their twist regions. These can be constructed via long Dehn fillings on fully augmented links complements. We show such no implies there at most two other respective classes. Under mild additional hypotheses, these four (orientation-preserving) symmetries only Finally, provide an infinite family explicit examples unique obtained by filling link with crossing circles.