The four-bit quotient and the [formula in source] 15 x 16 census
E8 and the Gaussian code
All checks of this section are from gaussian_code_bridge_probe.py ( [formula in source] checks, [formula in source] failures, verdict gaussian-code-bridge-exact; exact integer and Fraction arithmetic throughout, sympy only for the Smith normal form), with the finite certificates re-proved by the Lean kernel in GaussianCodeBridge.lean.
Opening source excerpt. Formulas and the full argument remain in the original document.
Source location and explicit evidence links
documents/note_e8_gaussian_code/sections/001-section-the-three-objects-label-sec-setup.tex · lines 136 to 226
These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit file citation gaussian_code_bridge_probe.py
literal source filename/path in TeX
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit lean symbol GaussianCodeBridge.lean
exact texttt symbol under explicit Lean/theorem context
- explicit file citation GaussianCodeBridge.lean
literal source filename/path in TeX