Given an original knot 
, the knots produced by mutations
together with 
itself are called mutant knots. Mutant knots are often difficult to distinguish.
For instance, mutants have the same HOMFLY polynomials
and hyperbolic knot volume. Many but not all mutants
also have the same knot genus.
Mutant Knot
See also
Kinoshita-Terasaka Mutants, Knot, MutationExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Mutant Knot." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MutantKnot.html