The volume conjecture for the twist knots 9_2 and 11a247

Chen and Zhu proved the volume conjecture at the root of unity e^(2πi/(N+1/2)) for the twist knots K_p with p≥6. We close the two remaining hyperbolic cases, K_4 = 9_2 and K_5 = 11a247. Their hypothesis p≥6 is used only to hold a short list of landscape estimates above one threshold; for p≤5 each fails by a small explicit amount. We audit that list and replace every failing item by a certified statement. The engine is a complete enumeration of the critical points of all Fourier channels of the Chen–Zhu potential: all channels share one polynomial, and none of its roots gives a critical value above the geometric one, with margins 0.5654 (p=4) and 0.3428 (p=5). The single point above the geometric value belongs to the channel annihilated identically by the Chen–Zhu Big Cancellation. With the known cases this settles the volume conjecture at this root for all hyperbolic twist knots.