\BOOKMARK [1][-]{section.1}{1. Introduction}{}% 1 \BOOKMARK [2][-]{section*.1}{Statement of main results}{section.1}% 2 \BOOKMARK [1][-]{section.2}{2. Notations and preliminaries}{}% 3 \BOOKMARK [1][-]{section.3}{3. Adapted decomposition under cd2\(F\)2}{}% 4 \BOOKMARK [1][-]{section.4}{4. Degree 3 invariant}{}% 5 \BOOKMARK [1][-]{section.5}{5. Proofs of the main statements}{}% 6 \BOOKMARK [2][-]{subsection.5.1}{5.1. Proof of Theorem 1.1}{section.5}% 7 \BOOKMARK [2][-]{subsection.5.2}{5.2. A consequence}{section.5}% 8 \BOOKMARK [2][-]{subsection.5.3}{5.3. Proof of Theorem 1.2}{section.5}% 9 \BOOKMARK [2][-]{subsection.5.4}{5.4. Proof of Theorem 1.3}{section.5}% 10 \BOOKMARK [2][-]{section*.2}{Acknowledgements}{section.5}% 11 \BOOKMARK [1][-]{section*.3}{References}{}% 12 \BOOKMARK [1][-]{appendix.A}{Appendix A. }{}% 13 \BOOKMARK [1][-]{section*.4}{References}{}% 14