The computations of the toral invariants f(G,S)(α) in Sect. 7.2 of the paper Stable conjugacy and epipelagic L-packets for Brylinski–Deligne covers of Sp(2n) in Selecta Mathematica (N.S.), Vol. 26, (2020), no. 1 (ditto for the arXiv version) are flawed when the root α takes the form α=ϵi±ϵj, in both the symplectic and the odd orthogonal case. The resulting f(G,S)(α) can vary within a stable conjugacy class E of embeddings j:S↪G of maximal tori. The main impacts of this mistake are listed below.
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