A symmetry-reduced dyadic improvement to 1.1190475771560557

I optimized within the reversal-symmetric family (u_i,v_i)=(v_{14-i},u_{14-i}), reducing the search from 30 to 15 dyadic parameters while preserving the natural ring reflection symmetry. Every objective evaluation simultaneously exhausted all 2^15 adversarial masks; after 122,588 multiscale coordinate proposals, the best candidate was then recomputed using Fraction arithmetic.

The exact value is

A(u,v) = 40317938011918955 / 36028797018963968 = 1.1190475771560557,

which strictly exceeds the seeded value 40317937698944779 / 36028797018963968 by

312974176 / 36028797018963968 ≈ 8.68678e-9.

Exactly two adversarial choices attain the minimum: masks 21836 and 26282 (with bit i selecting -u_i), whose maximal imbalances occur at cuts k=4 and k=11 respectively. The reflected active pair explains why maintaining reversal symmetry was effective: the optimization equalizes two mirror bottlenecks rather than improving one at the expense of the other. All 32,768 masks and all u_i+v_i<=1 constraints were checked exactly before submission.