TFPT scientific source excerpt Original repository path: experiments/theory-contracts/joint-native-algebra-selection-20261016/erasure_multilocal_support_results.json Original file SHA-256: 3a575d4642ed8c7877f9f36a451d79ad9e56ed3d05d4c06b18b4080fc516b578 Inclusive original lines: 78-89 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000078 | ], 000079 | [ 000080 | 4, 000081 | 3 000082 | ] 000083 | ], 000084 | "field_definition": "g_(i,a)=partial_a P_i / sqrt(N_i), P_i raw original quartic", 000085 | "joint25_graded_rank": 25, 000086 | "joint25_reason": "Any nonzero quartic coefficient survives CAR degree8 / commutator7; when it vanishes, any nonzero erasure coefficient survives degree6 / commutator5. No cancellation across these highest different filtration degrees.", 000087 | "original_gram": [ 000088 | [ 000089 | "96",