For twisted Alexander vanishing groups, every faithful irreducible representation of the knot group makes the twisted Alexander polynomial vanish, with explicit knot constructions provided.
Suzuki, Meridional and non-meridional epimorphisms between knot g roups, Handbook of Group Actions
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Twisted Alexander vanishing groups of knots
For twisted Alexander vanishing groups, every faithful irreducible representation of the knot group makes the twisted Alexander polynomial vanish, with explicit knot constructions provided.