Extending the E8 3-Cycle Parity Principle, we discover that the Weyl-group 3-cycle's orbit parity under ϕ-coupling dictates the Galois group's projective representation over ℚ, with 2∞ Selmer rank parity encoded in the Barr immunization index of the corresponding E8 root lattice path. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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