Established in scope
General lift and cover audit reconciles with the marked originals
In the question: Active mathematical program: marked seam monodromies and lattice lifts
Original ordered lattice cocycle, fixed Jhat marking and explicitly induced Burau deck local system; no independent Gauss-Manin identification or splitting of the full G31 character extension.
Read the exact result, assumptions and evidence
Result
In the original lattice chart SNF(I-J) has invariants1,1,1,1,2,2,2,2:256 J sign lifts yield16 sign-gauge classes and one class if only gauge equivalence is enlarged to quarter phases. Enlarging candidates too gives16 classes. The original additional equation chat^9=fixed S_J has exactly four solutions and one orbit under16 S_J-preserving character gauges. On all five fundamental peripheral loops the original induced Burau comparison has rho_rel=A^(7nu), nu=(1,1,1,1,-4). Faithful order12 proves globally ker(rho_rel)=ker(nu mod12), hence minimal C12. The general C12xC12 degree144 counterexample does not satisfy this factorization.
Required assumptions
- Joint category of original compiler flags and cover actions
Retain original E8 lattice VOA products, J/sigma/c/Y, D5+A3 root factors and quartic/erasure diagram. Transitions transport all marks through actual lifts in the original sign extension; they are not fixed-J stabilizers. The Burau peripheral comparison uses the associated local system induced from the existing marked C3 cover and its retained deck module. No independent geometric Gauss-Manin identification, added line correction or selected E6 vertex.
- Full original G31action and inherited lattice sign extension
The60actual original complex reflections act on the same original even E8lattice. Study exactly their full preimage in the automorphism group of the lattice group defined by unchanged eps_e8. Kernel A=Hom(E8,Z2), with g.a=a composed g^-1. No scalar replacement, enlarged coefficients or extra square relation for lifted puncture meridians.
Original evidence
- CLOCK-COVER.txt lines 1–134
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/e-series-incidence-algebra-20261024/CLOCK-COVER.txt
78db186f0498400dfe76208fe8e6fb0bee27634f6d4a897d6ffc21abadc5a6d6
finding:restricted-clock-lift-and-global-cover-audit-reconciled