A ten-by-ten trace formula for the essential Hurwitz form

Unrefereed candidate giving an explicit ten-by-ten trace-determinant formula for the essential Hurwitz form. The written proof supplies a uniform rank-ten algebra, cancellation of the Chow-boundary denominator, global degree-30 Pluecker identification and a symmetric rank-two corollary. Exact rational implementation includes boundary interpolation and adversarial controls, including the published Jiang–Sturmfels specialization at 194 and 195. Classical trace-discriminant antecedents and previous specialized computations are credited. Producer replay and internal AI editorial review are not unaffiliated whole-proof scrutiny, formal verification or historical-priority clearance. No expanded monomial list or practical camera-estimation improvement is claimed. Original prose and data CC0-1.0; original code MIT.