# LIB2-006 — The registered symplectic exceptional substrate

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.174)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The registered split E7(7) substrate acts on the real 56 through 133 generators, preserves the symplectic form, and has a quartic-invariant stabilizer of dimension 133.

## Caution

This carrier realization does not select a compact Standard-Model frame, a gauging or a physical observable.

## Primary source

Appendix F, §1, Scope and provenance: V1–V6, PDF p.180: "the certified ambient E7(7) substrate (V1–V6: 133 generators on the 56, signature +7, symplectic, quartic-invariant stabilizer of dimension exactly 133)"

## Machine

- url: /library-v2/LIB2-006/
- content_sha256: 65ff7b43195e41d7a67d71a998315b3e104f3152e5ec45cd8933231f3a77b1e1
- candidate_ids: C2-035

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP