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: 2670-2728
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.

002670 |   "principal_gram_unit_determinant": "194481/1099511627776",
002671 |   "principal_nullity": 0,
002672 |   "principal_rank": 20,
002673 |   "protected_files_after": {
002674 |     "NATIVE-QUARTIC-MULTILOCAL-SUPPORT.txt": "7801643ed85df8be24659a66e9437db8f549aea1497900aeeb1bfbbafd0f17ea",
002675 |     "check_native_quartic_multilocal_support.py": "c0b4cc1bedf7a396146199fbbb538a7494c4b974cbb46e13cb8c64c07ff9ed3b",
002676 |     "native_quartic_multilocal_support_results.json": "8a50438e1d7c8e80f1f734d678bea2c81bd59629ec4cde901bb4ad927fa2c2d4"
002677 |   },
002678 |   "protected_files_before": {
002679 |     "NATIVE-QUARTIC-MULTILOCAL-SUPPORT.txt": "7801643ed85df8be24659a66e9437db8f549aea1497900aeeb1bfbbafd0f17ea",
002680 |     "check_native_quartic_multilocal_support.py": "c0b4cc1bedf7a396146199fbbb538a7494c4b974cbb46e13cb8c64c07ff9ed3b",
002681 |     "native_quartic_multilocal_support_results.json": "8a50438e1d7c8e80f1f734d678bea2c81bd59629ec4cde901bb4ad927fa2c2d4"
002682 |   },
002683 |   "quarters": {
002684 |     "1/4": {
002685 |       "all_sheet_ranks_from_uniform_gram_identity": [
002686 |         20,
002687 |         20,
002688 |         20,
002689 |         20,
002690 |         20,
002691 |         20,
002692 |         20,
002693 |         20
002694 |       ],
002695 |       "b": [
002696 |         "7/32 - 9*I/32",
002697 |         "1/4 - I/4",
002698 |         "-I/4",
002699 |         "3/32 - 3*I/32"
002700 |       ],
002701 |       "cubic_shift_unchanged": true,
002702 |       "sheet_gram_factor": "3/8"
002703 |     },
002704 |     "3/4": {
002705 |       "all_sheet_ranks_from_uniform_gram_identity": [
002706 |         20,
002707 |         20,
002708 |         20,
002709 |         20,
002710 |         20,
002711 |         20,
002712 |         20,
002713 |         20
002714 |       ],
002715 |       "b": [
002716 |         "5/32 - 11*I/32",
002717 |         "1/4 - I/4",
002718 |         "-I/4",
002719 |         "1/32 - I/32"
002720 |       ],
002721 |       "cubic_shift_unchanged": true,
002722 |       "sheet_gram_factor": "3/8"
002723 |     }
002724 |   },
002725 |   "scope": "Given original 8-fold M/O current dictionary only; no P1 source/reference/preparation selection or all-operations no-go.",
002726 |   "sheet_commutator_gram_raw": [
002727 |     [
002728 |       "27/2",