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We show that a special alternating knot with sufficiently large number (morethan $63$) of twist regions has no chirally cosmetic surgeries, a pair of Dehnsurgeries producing orientation-reversingly homeomorphic $3$-manifolds. In thecourse of proof, we provide the optimal upper bounds of the primitive finitetype invariants of degree 2 and 3 that solve Willerton's conjecture.

Special alternating knots with sufficiently many twist regions have no chirally cosmetic surgeries