30,870 = 30,870
The P19 and P57 Borel profiles have identical residual dimensions after their forced Petersen fixed graph is removed.
Petersen spine, constructive Perkel matrices, and octad curvature
Passes 3577–3583 turn the Borel, commutant, factorization, proof, and quantum-walk frontiers into exact executable objects.
3×3 over Q(√−19)
Every Perkel orbital is represented explicitly; all 441 products reproduce the orbital multiplication table.
two K8 phases
A sunflower orbit has stabilizer one; a mixed core-free orbit has stabilizer four.
52 vertices · ω=11
A real spectral-survivor compatibility graph carries a checked proof DAG.
82 vertices · degree 9
The sunflower reaches the numerical Moore order and is triangle-free, but diameter three and 3,024 four-cycles expose the curvature failure.
marked K4
The W33 line resolvent recovers six induced edges, crossing the unmarked spectrum-only boundary.
Exact packet
PASS_7_FRONTS 2a4a06836164c6eb92d971aa18ecd1369990c7bf501ae1aaf342e7b5e5bc23a4
Matrix digest: 366405ad8400779a79eb6b92437b6d354ad3019eb16e9b5a81b99c5adc77eb33
Canary record: 2a984b9a2f51646691657a8dfe5d01b9e33496f75500ba9b79abdd5a68385390