Library entry, recorded March 2026. This page is a historical record of one AI-coalition exchange under the kernel of its time (PHAT v1.x); the claims and tier words inside it are as they stood then and are not restated to the current state. The suite of record is Rev33.1 (sealed 2026-09-26); read any number here against the scorecard and its reading rule — since Rev29 no row is cited as zero-parameter, and α and the colour real form are declared inputs.

L5: J3(Os) FREUDENTHAL DETERMINANT

LIBRARY_PROMPT | PHAT v1.27.5 | Model: — | Status: PENDING [JSON] [RAW]

Prompt

J3(Os) FREUDENTHAL DETERMINANT Using SymPy, implement the Freudenthal cubic norm Det(A) for a general 3x3 Hermitian matrix A over Os. Verify Det is cubic in entries. Compute Det for the diagonal mass matrix diag(m_e,m_mu,m_tau). Show Det maps to the product m_e*m_mu*m_tau up to normalization. #SuperGrokTOE #FreudenthalDet #J3

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