batchload("audits/jensen-preprint-audit-2026-09-29-v1/check_identities.mac") PASS factorial ratio step PASS theta moment integrand PASS Jacobi quotient relation (36) PASS Jacobi A recovery (38) PASS Jacobi B recovery (38) PASS matching limit equation 1 PASS matching limit equation 2 PASS matching limit equation 3 PASS Jacobian inverse 1 1 PASS Jacobian inverse 1 2 PASS Jacobian inverse 1 3 PASS Jacobian inverse 2 1 PASS Jacobian inverse 2 2 PASS Jacobian inverse 2 3 PASS Jacobian inverse 3 1 PASS Jacobian inverse 3 2 PASS Jacobian inverse 3 3 PASS contraction cube lower endpoint PASS Jacobi diagonal difference (78) PASS perturbed Jacobi factor (86) PASS cubic derivative expansion PASS differentiated Jacobi recurrence (90) PASS stability tail PASS standalone degree-two model coefficient PASS standalone limiting coefficient deficit PASS standalone limiting root ALL_EXACT_CHECKS_PASSED 26