Behavior of knot invariants under genus 2 mutation (Vol 18, pg 75, 2012)

Proposition 2.7 of the original paper (Dunfield, Garoufalidis, Shumakovitch and Thistlethwaite, 2010) is false and as a result Corollary 2.8 has not been established. Here, we provide alternate proofs of the results in our paper which depended on those claims, with the exception of the invariance of generalized knot signatures. In particular, all the results claimed in Table 1.2 of the original paper have still been proved.