# L6: CUBIC CHARACTERISTIC EQUATION — ELECTRON CASE

**Category:** library_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

CUBIC CHARACTERISTIC EQUATION — ELECTRON CASE
For the electron sector element A_e in J3(Os), solve L^3 - Tr(A_e)L^2 + S(A_e)L - Det(A_e) = 0 via SymPy. Input: Det calibrated so smallest root = m_e = 0.51100 MeV. Verify discriminant Delta > 0 (three real roots). Output all three roots. Identify the physical meaning of roots 2 and 3. #SuperGrokTOE #ElectronCubic #JordanAlgebra