Established in scope
Complete census of original17character-valued monodromy lifts
In the question: Active mathematical program: marked seam monodromies and lattice lifts
F3representations, ordered punctures, full lift conjugation. Census and normal-form criterion; no stored835456-representative list.
Read the exact result, assumptions and evidence
Result
Full conjugation over the17original reflection quadruple classes gives835456character-valued monodromy lift classes, with a complete affine normal-form criterion. V4embeddings with and without integral Z2torsion give26128and42240classes per ordered orbit.
Required assumptions
- 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.
- Ordered G31reflection quadruples and chosen quarterclock
U=P1minusmu4, four ordered positive meridians in the60reflection class with product1. Chosen clocks have exact order4and conjugate meridians cyclically. Equivalence is simultaneous inner conjugation; central relaxations are separately defined relation contracts.
Original evidence
- THEOREMS.txt lines 203–296
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/global-g31-lattice-lift-20261023/THEOREMS.txt
a5db41f218483476fe623f0fc7353df5bfabf5f79af4a3eda58d7e05e0715fc0
- ORDINARY_LIFTS.tsv lines 1–18
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/global-g31-lattice-lift-20261023/ORDINARY_LIFTS.tsv
60a856059f4f230996d674543eb3122764ee67203c8361f603aba8fcbbd1d6af
finding:all17-original-character-monodromy-lifts-complete