TFPT scientific source excerpt Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/ROOT-OFFDIAGONAL-K-E8-CHECK.json Original file SHA-256: beb0e360d3455ba9648dcc576200a8c5210e4d46ebf4ee6f995a3e6e1ae45901 Inclusive original lines: 1-29 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. 000001 | { 000002 | "source_basis": [ 000003 | "(0, 1)", 000004 | "(1, 0)", 000005 | "(1, 2)", 000006 | "(2, 1)", 000007 | "(2, 0)", 000008 | "(0, 2)" 000009 | ], 000010 | "target_basis": [ 000011 | "1 wedge e0", 000012 | "1 wedge e1", 000013 | "1 wedge e2", 000014 | "e1 wedge e2", 000015 | "e2 wedge e0", 000016 | "e0 wedge e1" 000017 | ], 000018 | "T_unitary": true, 000019 | "intertwiner_residual_ranks": { 000020 | "c": 0, 000021 | "V4_0": 0, 000022 | "V4_1": 0, 000023 | "actual_quarter": 3 000024 | }, 000025 | "two_triplet_actual_wedge_image_rank": 3, 000026 | "other_family_half": "O wedge F requires an actual O-valued input", 000027 | "closed_spin_singlet_zero_modes": 0, 000028 | "scope": "Actual A4 bundle isometry; not a product-induced full E8(10,6) field. A transported marking or a real full-field O insertion is a distinct original-source test; no universal singlet absence claimed." 000029 | }