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For u transcendental over a subfield K of ℂ and integers 4 ≤ k < l, span_K{u^s : s ∈ {0, ±1, ±k, ±l}} carries a 2×3 configuration iff l ∈ {k+1, k+2, 2k−1, 2k, 2k+1, 3k} · Prove2Me