=== 1. E1-page totals ===
computed totals = {1: 68, 0: 15, 2: 48}
Euler = -5
PASS: sparse BWB page reproduces Round-26 Euler characteristic.

=== 2. HLYY resonance slots ===
slot count = 12
family A = 6
family B = 6
PASS: k=1 clean, k=2 has exactly twelve double-nonvanishing slots.

=== 3. Generalized Jacobian dimensions ===
M8 = 1
M9 = 91
N8 = 0
N9 = 17
section decomposition = [35, 21, 35]
PASS: 91 = 35 + 21 + 35.

=== 4. Period-resonance identities ===
rho=0: kernel=5, rank=20, hard_coker=0, total_coker=4
rho=1: kernel=6, rank=19, hard_coker=1, total_coker=5
rho=2: kernel=7, rank=18, hard_coker=2, total_coker=6
rho=3: kernel=8, rank=17, hard_coker=3, total_coker=7
rho=4: kernel=9, rank=16, hard_coker=4, total_coker=8
rho=5: kernel=10, rank=15, hard_coker=5, total_coker=9
PASS: the same rho controls extra kernel and hard cokernel.

=== 5. Ancestry-relative strong K3 criterion ===
rho=0 iff the 20-dimensional normalized tangent quotient
maps isomorphically onto the 20-dimensional hard Hodge target.

=== 6. Safe status ===
rho_per remains unresolved.
The only remaining edge is generic rank of the finite spectral differential.

ALL ROUND-27 CERTIFICATE CHECKS PASSED.
Spreadsheet runtime warmup failed during python startup
Traceback (most recent call last):
  File "/tmp/tmp.L2TH2Y5coc/artifact_tool_v2-2.8.22/artifact_tool/patches/warm_spreadsheet_runtime_on_startup.py", line 26, in warm_spreadsheet_runtime_on_startup
  File "/tmp/tmp.L2TH2Y5coc/artifact_tool_v2-2.8.22/artifact_tool/spreadsheet_warmup.py", line 785, in warm_spreadsheet_runtime
  File "/tmp/tmp.L2TH2Y5coc/artifact_tool_v2-2.8.22/artifact_tool/spreadsheet_warmup.py", line 720, in _warm_feature_flows
  File "/tmp/tmp.L2TH2Y5coc/artifact_tool_v2-2.8.22/artifact_tool/spreadsheet_warmup.py", line 704, in _warm_collaboration_flows
  File "/tmp/tmp.L2TH2Y5coc/artifact_tool_v2-2.8.22/artifact_tool/generated/interface/models.py", line 32317, in hydrate_crdt_from_proto
  File "/tmp/tmp.L2TH2Y5coc/artifact_tool_v2-2.8.22/artifact_tool/rpc/remote.py", line 749, in __call__
  File "/tmp/tmp.L2TH2Y5coc/artifact_tool_v2-2.8.22/artifact_tool/rpc/client.py", line 150, in call
artifact_tool.rpc.client.RemoteError: hydrateCrdtFromProto requires an empty collaborative document.
