files / problems / simon-ionization-excess / compute / q7 / work / lift_notes.md

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Lift — more bins at aspect 10

Same Newton Q=I/DQ=I/D and mass-opt cut Q>10/11Q>10/11 as q6. The q6 bottleneck was the compact γ\gamma at R=10R=10, n=32n=32 (φ=0.9108\varphi=0.9108, PP error ≈0.00381\approx 0.00381), not the cut.

Raising nn on the mid-radius Rayleigh:

8,589,934,5918{,}589{,}934{,}591 faces at the winning row, copositive, 25182518 residual skips, min⁡m⊤Mm>4⋅10−4\min m^\top Mm>4\cdot 10^{-4}. Stdlib rebuild of AA matches the stored matrix to 10−1510^{-15}.

Same §7 chain. Printed

Nc<1.1021Z+3.937 Z1/3(Z≥4).N_c<1.1021Z+3.937\,Z^{1/3}\qquad(Z\ge 4).

R≤9R\le 9 with the mass-opt cut cannot beat 1.10261.1026. The withdrawn 1.11681.1168 stays withdrawn. Finite ZZ and N0(Z)−ZN_0(Z)-Z stay residue.

Replay: ../run_all.sh.