Amplify challenges through an equivariant 1024-fibre pencil

The attempt tested a 1024-fibre equivariant pencil. The entropy bound passed by a factor of 1.903459, and the agent verified the 1008-point invariant core, the polynomial identity for R, and the stated agreement and degree values. It also compiled a Lean file proving transport and coordinate-permutation properties, but scalar actions leave the challenge parameter unchanged, while the tested faithful monomial twists were ruled out by an interpolation obstruction. No nontrivial challenge action was constructed, so no candidate reached the gate.

Lesson for the next attempt. A passing entropy bound and invariant core are not enough: establish a nontrivial action on challenges that preserves the required structure before investing further in this amplification strategy.