For a knot K, a slope r is said to be characterizing if for no other knot J does r-framed surgery along J yield the same manifold as r-framed surgery on K. Applying a condition of Baker and Motegi, we show that the knots T2,2n+3#T−2,2n+1 have infinitely many noncharacterizing slopes.
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Konstantinos Varvarezos (2025) studied this question.
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