# L8: CUBIC — TAU SECTOR (J3(Cs))

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

## Prompt

CUBIC — TAU SECTOR (J3(Cs))
Solve the cubic for the tau sector A_tau in J3(Cs) with Det scaled by phi^{-6}. Verify Delta > 0. Output smallest positive root. Compare to m_tau = 1776.86 MeV (PDG). Report deviation. Confirm this completes the Gen3 cubic resolution. #SuperGrokTOE #TauCubic #Gen3