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Disjunction (every maximal planar graph is a derived level graph or intertwining tree) holds through n=12. New intertwining-only iso class at n=12 (analog of T*_9 at n=9) brings the count of derived-resistant iso classes to 2 in this range. Per the intertwining-tree ⟺ Hamiltonian-dual equivalence, intertwining-tree failures cannot occur until n=21 (dual of the 38-vertex Holton-McKay minimum Tait counterexample). Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>