The ramified isotypic pack (the étale route) #
Blueprint: docs/orchestration/p16d6e4aA-pack-design.md. Target: the pack fields of
SectionSix.prop_6_9_ramified, discharging zeroCount_qDouble_ramified_of_faithful
(consumed by the Γ_A Gauss calculation in GQ2/GaussZ/FinalGammaA.lean).
This file builds the generic layer, bottom-up:
- §TwoPowerConj — every conjugate of
tist^{2^j}(the refinement oftau_fixed_eq_zero_of_gen's conjugation calculus): theS-twist is squaring (the tame relation), its inverse is the square ROOTt^{2^{φ(d)−1}}(Euler — no multiplicative-order machinery), and the exponents compose multiplicatively. This is what makes every𝔽₂-isotypic componentC-stable (P(t^{2^j}) = P(t)^{2^j}, the char-2 polynomial Frobenius — design doc §3).
File organisation. The implementation is split into Basic (the conjugation and adjoin-root foundations) and Descent (the pack interface, self-reciprocity, and fixed-point count). This umbrella preserves the original import path and public declaration names.