Abstract
We give a criterion for distinguishing a prime knot [Formula: see text] in [Formula: see text] from every other knot in [Formula: see text] using the finite quotients of [Formula: see text]. Using recent work of Baldwin–Sivek, we apply this criterion to the hyperbolic knots [Formula: see text], [Formula: see text], and the three-strand pretzel knots [Formula: see text] for every integer [Formula: see text].
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