The Branch Beyond λ = 28: The Far-V₀ Branch Runs to λ = 32.5, and Its Release Line Is Nearly Settled

The far-V0 branch of the exponential rolling field is followed beyond paper #582's stated scan: gated digit-for-digit on #582's full gate chain (Gates A-F and the parents they rest on) and on #582's own extended rows at lambda = 20.5, 24.0 and 28.0, the branch is present at every lambda from 28.5 to the stated scan's end at 32.5 (search ceiling log V0 = 705, stated in advance from the trend and from the parent pipeline's float64 overflow at log V0 = 709.78), its log V0 rising from 604.442 to 695.687, w0 to +0.921 and H0 to 74.44. It does not terminate inside the scan, and a census of every upward crossing finds exactly one at every lambda. The four release-line fits stand side by side (21.30 lambda - 25.57; 22.48 lambda - 38.46; 22.72 lambda - 43.32; 22.81 lambda - 45.69): the steepening is continuing but its gains have fallen 1.18, 0.24, 0.09, and the line is nearly settled near a slope of 22.8. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.