TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/theta_lattice_closure_20261027/lattice/theta-lattice.json
Original file SHA-256: a4d9bd7a09feddf2e4f0b2133ed2152229bd2cde231d8816c5806ad6c9e89992
Inclusive original lines: 1-119
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 |   "all_gates_integral_isometries": true,
000003 |   "alpha_exchanges_Lambda_and_zeta8_Lambda": true,
000004 |   "alpha_preserves_single_constructed_lattice": false,
000005 |   "compensated_clifford_generators": [
000006 |     "X1",
000007 |     "X2",
000008 |     "Z1",
000009 |     "Z2",
000010 |     "S1",
000011 |     "S2",
000012 |     "CNOT",
000013 |     "H1_tilde",
000014 |     "H2_tilde"
000015 |   ],
000016 |   "complex_root_lines": 60,
000017 |   "congruence_residues_mod_two": 16,
000018 |   "input": "level-two Schrodinger frame, affine support phases; no E8 input in generator construction",
000019 |   "integer_basis_determinant": 16,
000020 |   "native_clock_identities": [
000021 |     "c^4=sigma",
000022 |     "c^9=iI"
000023 |   ],
000024 |   "native_cyclic_clock_order": 12,
000025 |   "physical_gram": [
000026 |     [
000027 |       2,
000028 |       0,
000029 |       0,
000030 |       1,
000031 |       0,
000032 |       1,
000033 |       1,
000034 |       0
000035 |     ],
000036 |     [
000037 |       0,
000038 |       2,
000039 |       0,
000040 |       1,
000041 |       0,
000042 |       1,
000043 |       0,
000044 |       1
000045 |     ],
000046 |     [
000047 |       0,
000048 |       0,
000049 |       2,
000050 |       1,
000051 |       0,
000052 |       0,
000053 |       1,
000054 |       1
000055 |     ],
000056 |     [
000057 |       1,
000058 |       1,
000059 |       1,
000060 |       2,
000061 |       0,
000062 |       1,
000063 |       1,
000064 |       1
000065 |     ],
000066 |     [
000067 |       0,
000068 |       0,
000069 |       0,
000070 |       0,
000071 |       2,
000072 |       1,
000073 |       1,
000074 |       1
000075 |     ],
000076 |     [
000077 |       1,
000078 |       1,
000079 |       0,
000080 |       1,
000081 |       1,
000082 |       2,
000083 |       1,
000084 |       1
000085 |     ],
000086 |     [
000087 |       1,
000088 |       0,
000089 |       1,
000090 |       1,
000091 |       1,
000092 |       1,
000093 |       2,
000094 |       1
000095 |     ],
000096 |     [
000097 |       0,
000098 |       1,
000099 |       1,
000100 |       1,
000101 |       1,
000102 |       1,
000103 |       1,
000104 |       2
000105 |     ]
000106 |   ],
000107 |   "physical_gram_determinant": 1,
000108 |   "retained_alpha_order": 8,
000109 |   "retained_alpha_square": "iI",
000110 |   "roots": 240,
000111 |   "roots_by_support_dimension": {
000112 |     "0": 16,
000113 |     "1": 96,
000114 |     "2": 128
000115 |   },
000116 |   "scope": "abstract integral construction in a theta frame; no physical P1 realization, no uniqueness among every Heisenberg-stable lattice",
000117 |   "standard_e8_shell_equal": true,
000118 |   "verdict": "EXACT_E8_LATTICE_AND_TWO_BRANCH_SPIN_ACTION"
000119 | }