Version 1. 1 corrects four bibliography/analysis items in v1. 0; no numerical results, figures, or other body claims are otherwise affected. (1) The dominant Fourier harmonic of the K3 (δ) envelope is k = 3 (period 2π/3), correcting the k = 6 value reported in v1. 0. The 2π/6 identity applies to each fixed braid word (six R-matrix insertions in (σ1σ2) ³) ; the envelope of the optimal word reshuffles on a finer scale. Confirmed by independent reproducer runs at Lmax = 7 and a sanity re-run at Lmax = 8. (2) Bibliography attribution corrected: the entry at PRX 6, 021005 (2016) is Clarke, Sau (ii) the sector phase δ tunes a singular point δ = 3π/5 at which the generator σ1 collapses to a scalar and braiding becomes impossible; (iii) the Fourier envelope is dominated by the k = 3 harmonic. K3 at the optimal L = 11 word is initial-state independent.
Berkay Yüksel Sayim (Fri,) studied this question.