# L30: CKM theta_12 — FULL NUMERICAL

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

## Prompt

CKM theta_12 — FULL NUMERICAL
Using Python: theta12 = degrees(arcsin(1/sqrt(20))). Verify = 12.9210 degrees. Compare PDG theta_12 = 13.04 degrees. Deviation = -0.913%. Compute sub-leading Hua correction needed to reach exact agreement. Show whether correction is algebraic. Report: theta_12, theta_13, theta_23 from v1.27.5 (all three mixing angles). #SuperGrokTOE #CKMmatrix