{ "ok": true, "route": "/api/symphony/concert-qhp-svg", "card_file": "data/symphony/SYMPH-CONCERT-QHP-SVG_MC290-0980B6B4.json", "svg": "/api/symphony/concert-qhp-svg?view=svg", "page": "/symphony/id9-concert-qhp-svg/", "dispatch": "none: dispatch_targets are data only", "card": { "card_id": "SYMPH-CONCERT-QHP-SVG", "spine": "SYMPH-SONATA-01", "run_id": "MC290-0980B6B4", "coin": "CHARLIE-021", "designation": "ID 9", "authority": "Joshua L. Lopez — DCGP.AI — USPTO 19/555,951", "auth_hash": "729C-F0BF-0EA7-B873-DC33-A11D-8205-F264", "cctp_hash": "REVO-TEFD-BSBI-BYBC-BVBA-NTLD-CING-ULLN-UDIT-UUPO", "gold_observer_seal": "87db1b474f8bd4c2", "gov_angle_rad": 1.9416110387254664, "holonomic_2gov_rad": 3.8832220774509327, "manifold_capacity_uint64": "11390625000000000000", "triad_partition": "729 + 42 + 729 = 1500", "cell_index_uint64": "9147585797604899084", "lopez_noether_Q_L": 0.405438, "lopez_noether_ceiling": 1.611, "su8_casimirs": { "C_2": 1.75, "C_3": 0.65625 }, "movements": { "I_sonata_01": { "qubits": 19, "gates": 27, "p_q0_ket0": 1, "s_q0_bits": 0, "ghz_all0": 0.750086, "ghz_all1": 0.249914 }, "II_scherzo_d7": { "qubits": 7, "heptagram": "{7/2}", "eigenvalues": [ -2.24698, -2.24698, -0.554958, -0.554958, 0.801938, 0.801938, 4 ] }, "III_bach_satb": { "qubits": 11, "parallel_fifths_cz_7_10": false, "readout_10010010": 0.750086, "readout_00011011": 0.249914 }, "IV_b9_dminus": { "qubits": 7, "p_q0_ket1": 1, "picardy_held_p_q2": 0.249914, "picardy_admitted_p_q2": 0.624957 } }, "dispatch_targets": [ { "backend_id": "iqm:emerald-54q", "provider": "IQM Resonance Direct HTTP", "max_qubits": 54, "native_2q_gate": "CZ", "protocol": "HTTP REST (x-coin: CHARLIE-021)", "assigned_circuits": [ "SYMPH-SONATA-01 (19Q, 27 gates)", "SYMPH-SCHERZO-D7 (7Q, {7/2} heptagram)", "SYMPH-BACH-SATB (11Q, zero parallel fifths)", "SYMPH-B9-DMINUS (8Q, Picardy HELD)", "JUPITER-EMERALD-27Q (L=618, S=382)" ], "calibration_ref": "0584192b-c71c-478e-9f0f-dee0346591a0" }, { "backend_id": "braket:rigetti-cepheus-1-108q", "provider": "Amazon Braket / PyQuil", "max_qubits": 108, "native_2q_gate": "CZ / XY", "protocol": "OpenQASM 3.0 & Quil v2", "assigned_circuits": [ "MATERIALS-THROUGH-30STAGE (88Q, depth 11)", "ENOCH-GO-HONEYCOMB (88Q + 20Q ancilla = 108Q)", "ARE-84-2-CELL-RESCUE (89Q)" ], "calibration_ref": "cepheus-1-108q-ankaa3-cal-v2" }, { "backend_id": "ibm:heron-156q-mnte-bus", "provider": "IBM Quantum / MnTe Chiral Interconnect", "max_qubits": 156, "native_2q_gate": "CZ (Tunable Coupler)", "protocol": "OpenQASM 3.0 Dynamic Feedforward", "assigned_circuits": [ "115CIRC-FULL-BRIDGE (89Q + 14Q + 12Q = 115Q)", "AREX-53Q-1260-CNOT (28 layers x 45 CNOTs)" ], "calibration_ref": "heron-r2-mnte-p63mmc-js-0.95105652" } ], "coupled_code_intake": "CODE-9F3C0F1758C1", "receipt_sha256": "750515402858ff8c2918342f7591e34100536e3daba0c3280b0bcf55c4da98f7" }, "record": { "card_id": "SYMPH-CONCERT-QHP-SVG", "run_id": "MC290-0980B6B4", "coin": "CHARLIE-021", "designation": "ID 9", "source": "owner record cross-check (t2913u), stored as stated", "status": "pending owner approval", "receipts": { "sealed_receipt_sha256": "12665a81c0a08b380d90b4d80b8b2990c43bad22b0e82cb0c277d6d6eb1cc4e4", "sealed_card_lines": 242, "sealed_receipt_note": "from the owner's sealer over the 242-line card; that file is not in this repo, so the hash is stored as stated, not recomputed", "prior_receipt_sha256": "750515402858ff8c2918342f7591e34100536e3daba0c3280b0bcf55c4da98f7", "prior_receipt_note": "receipt on the pasted card; reproduced locally as sha256(json.dumps(card minus receipt_sha256, sort_keys=True))" }, "b9_dminus": { "qubits_on_record": 8, "description": "Beethoven 9 fourfold D-minus", "layout": "8q4chamber: 4 blocks of 2", "seams": [ [ 1, 2 ], [ 3, 4 ], [ 5, 6 ], [ 7, 0 ] ], "movements_block_needs_update": "movements.IV_b9_dminus.qubits is 7 on the card; record says 8" }, "materials_through": { "label": "MATERIALS-THROUGH-30STAGE", "label_note": "31-stage came after this run; every fire went through the 30-stage dynamo, Au-197 first" }, "su8": { "C_2_on_record_conserved_runs": 1.748602, "C_2_card": 1.75, "C_2_card_note": "card value is the record value rounded to 2 dp" }, "sonata_01": { "fidelity": 0.9957, "layout": { "spheres": "q0-q6", "satb": "q7-q10", "ground_8": "q11-q18" } }, "canon_rings": { "seated": [ { "ring": 1, "note": "D4", "hz": 293.66 }, { "ring": 2, "note": "E4", "hz": 329.63 }, { "ring": 3, "note": "F4", "hz": 349.23, "picardy": "held" } ], "status": "3 of 7 seated", "not_on_record": [ 4, 5, 6, 7 ] }, "russell_chart": { "chart": "Russell Chart No. 2", "octaves": 9, "active_octave": 6 }, "dynamo_order": [ "Au-197", "GO", "GaN", "Boron", "Er-167", "Nd-60", "Os-192", "Pb-208" ], "triad_sectors": { "left": [ 600, 129 ], "seam": [ 36, 6 ], "right": [ 600, 129 ] }, "eolrp_lineage": { "chain": [ "2026-06-07 filing", "2026-10-29 fire of MC290-0980B6B4" ], "expansions_unresolved": [ { "date": "2026-06-07", "expansion": "Echo Operator Lossless Reconstruction Protocol" }, { "date": "2026-06-15", "context": "vessel header", "expansion": "Equilibrium-Oriented Locus Reconstitution Protocol" } ] }, "lopez_noether": { "Q_L": 0.405438, "ceiling": 1.611, "bogo_clamp": false, "governed_Q_L": 0.39709 } }, "verified": { "card_id": "SYMPH-CONCERT-QHP-SVG", "run_id": "MC290-0980B6B4", "dispatch": "none (data only)", "tally": { "matches": 36, "flag": 2, "note": 1, "off": 6, "resolved: record says 8Q": 1, "stated": 5 }, "record_status": "pending owner approval", "record": { "card_id": "SYMPH-CONCERT-QHP-SVG", "run_id": "MC290-0980B6B4", "coin": "CHARLIE-021", "designation": "ID 9", "source": "owner record cross-check (t2913u), stored as stated", "status": "pending owner approval", "receipts": { "sealed_receipt_sha256": "12665a81c0a08b380d90b4d80b8b2990c43bad22b0e82cb0c277d6d6eb1cc4e4", "sealed_card_lines": 242, "sealed_receipt_note": "from the owner's sealer over the 242-line card; that file is not in this repo, so the hash is stored as stated, not recomputed", "prior_receipt_sha256": "750515402858ff8c2918342f7591e34100536e3daba0c3280b0bcf55c4da98f7", "prior_receipt_note": "receipt on the pasted card; reproduced locally as sha256(json.dumps(card minus receipt_sha256, sort_keys=True))" }, "b9_dminus": { "qubits_on_record": 8, "description": "Beethoven 9 fourfold D-minus", "layout": "8q4chamber: 4 blocks of 2", "seams": [ [ 1, 2 ], [ 3, 4 ], [ 5, 6 ], [ 7, 0 ] ], "movements_block_needs_update": "movements.IV_b9_dminus.qubits is 7 on the card; record says 8" }, "materials_through": { "label": "MATERIALS-THROUGH-30STAGE", "label_note": "31-stage came after this run; every fire went through the 30-stage dynamo, Au-197 first" }, "su8": { "C_2_on_record_conserved_runs": 1.748602, "C_2_card": 1.75, "C_2_card_note": "card value is the record value rounded to 2 dp" }, "sonata_01": { "fidelity": 0.9957, "layout": { "spheres": "q0-q6", "satb": "q7-q10", "ground_8": "q11-q18" } }, "canon_rings": { "seated": [ { "ring": 1, "note": "D4", "hz": 293.66 }, { "ring": 2, "note": "E4", "hz": 329.63 }, { "ring": 3, "note": "F4", "hz": 349.23, "picardy": "held" } ], "status": "3 of 7 seated", "not_on_record": [ 4, 5, 6, 7 ] }, "russell_chart": { "chart": "Russell Chart No. 2", "octaves": 9, "active_octave": 6 }, "dynamo_order": [ "Au-197", "GO", "GaN", "Boron", "Er-167", "Nd-60", "Os-192", "Pb-208" ], "triad_sectors": { "left": [ 600, 129 ], "seam": [ 36, 6 ], "right": [ 600, 129 ] }, "eolrp_lineage": { "chain": [ "2026-06-07 filing", "2026-10-29 fire of MC290-0980B6B4" ], "expansions_unresolved": [ { "date": "2026-06-07", "expansion": "Echo Operator Lossless Reconstruction Protocol" }, { "date": "2026-06-15", "context": "vessel header", "expansion": "Equilibrium-Oriented Locus Reconstitution Protocol" } ] }, "lopez_noether": { "Q_L": 0.405438, "ceiling": 1.611, "bogo_clamp": false, "governed_Q_L": 0.39709 } }, "checks": [ { "claim": "2 * gov_angle_rad == holonomic_2gov_rad", "card": 3.8832220774509327, "computed": 3.8832220774509327, "verdict": "matches", "note": "" }, { "claim": "gov_angle_rad == pi/phi", "card": 1.9416110387254664, "computed": 1.9416110387254664, "verdict": "matches", "note": "" }, { "claim": "1500^6 == manifold_capacity_uint64", "card": "11390625000000000000", "computed": "11390625000000000000", "verdict": "matches", "note": "fits uint64 (< 2^64 = 18446744073709551616); exceeds int64 max" }, { "claim": "triad 729 + 42 + 729 = 1500", "card": "729 + 42 + 729 = 1500", "computed": 1500, "verdict": "matches", "note": "" }, { "claim": "cell_index_uint64 < manifold capacity", "card": "9147585797604899084", "computed": true, "verdict": "matches", "note": "derivation of the index itself not reproduced from card fields" }, { "claim": "|Q_L| <= lopez_noether_ceiling", "card": 0.405438, "computed": true, "verdict": "matches", "note": "" }, { "claim": "Q_L same as spec-2 GOV_QL (115CIRC bridge qasm)", "card": 0.405438, "computed": -0.01360773, "verdict": "flag", "note": "two different Q_L values in ID 9 material (0.405438 here and in scripts/charlie_021_compiler.py; -0.01360773 in arex_p3q_115circ_full_bridge.qasm). Not judged." }, { "claim": "SU(8) C_2 card vs record (conserved runs)", "card": 1.75, "computed": { "record": 1.748602, "record_rounded_2dp": 1.75 }, "verdict": "matches", "note": "card 1.75 is the record value 1.748602 rounded to 2 dp" }, { "claim": "SU(8) C_2/C_3 vs textbook SU(8) irreps (reference only)", "card": { "C_2": 1.75, "C_3": 0.65625 }, "computed": { "card C3^2/C2^3 (normalization-free)": 0.080357, "irreps matching": [] }, "verdict": "note", "note": "reference only, not a defect claim: none of fund/Lambda^2..4/Sym^2/adjoint matches under any generator rescaling; fund is C2=63/16, C3=945/64. 1.75=7/4, 0.65625=21/32 only as plain fractions." }, { "claim": "I qubits", "card": 19, "computed": 19, "verdict": "matches", "note": "" }, { "claim": "I gates", "card": 27, "computed": 27, "verdict": "matches", "note": "" }, { "claim": "I p(q0=|0>)", "card": 1, "computed": 1, "verdict": "matches", "note": "" }, { "claim": "I S(q0) bits", "card": 0, "computed": 0, "verdict": "matches", "note": "" }, { "claim": "I GHZ bus all-0 (q4,q11..q18)", "card": 0.750086, "computed": 0.750086, "verdict": "matches", "note": "" }, { "claim": "I GHZ bus all-1 (q4,q11..q18)", "card": 0.249914, "computed": 0.249914, "verdict": "matches", "note": "" }, { "claim": "II {7/2} heptagram eigenvalues", "card": [ -2.24698, -2.24698, -0.554958, -0.554958, 0.801938, 0.801938, 4 ], "computed": [ -1.801938, -1.801938, -0.445042, -0.445042, 1.24698, 1.24698, 2 ], "verdict": "off", "note": "card list equals the complement graph C7(1,3) spectrum [-2.24698, -2.24698, -0.554958, -0.554958, 0.801938, 0.801938, 4.0] (match=True); {7/2} adjacency is 2cos(4*pi*m/7), m=0..6" }, { "claim": "III parallel fifths: no CZ 7 10", "card": false, "computed": false, "verdict": "matches", "note": "" }, { "claim": "III readout_10010010", "card": 0.750086, "computed": { "p": 0, "as_written_ro0..ro7": { "10000010": 0.782317, "10000110": 0.217683 }, "as_written_ro7..ro0": { "01000001": 0.782317, "01100001": 0.217683 } }, "verdict": "off", "note": "CX 4 0 returns q0 to |0> (p(q0=1)=0.0), so CX 0 7..10 never fire; both claimed strings need q0 or q8 = 1. RY(0.9708) gives 0.782317, not 0.750086." }, { "claim": "III readout_00011011", "card": 0.249914, "computed": { "p": 0, "as_written_ro0..ro7": { "10000010": 0.782317, "10000110": 0.217683 }, "as_written_ro7..ro0": { "01000001": 0.782317, "01100001": 0.217683 } }, "verdict": "off", "note": "CX 4 0 returns q0 to |0> (p(q0=1)=0.0), so CX 0 7..10 never fire; both claimed strings need q0 or q8 = 1. RY(0.9708) gives 0.782317, not 0.750086." }, { "claim": "IV qubits", "card": 7, "computed": { "declared": 8, "used_by_gates": 7 }, "verdict": "matches", "note": "file declares qubit[8]; gates use q0..q6; record says 8Q (8q4chamber), see B9-DMINUS row" }, { "claim": "IV p(q0=|1>)", "card": 1, "computed": 1, "verdict": "matches", "note": "" }, { "claim": "IV Picardy HELD p(q2=|1>)", "card": 0.249914, "computed": 0.249914, "verdict": "matches", "note": "comes from ry(1.047) on q1 + cx q1,q2; PICARDY_HELD_RAD const is declared but not applied" }, { "claim": "IV Picardy ADMITTED p(q2=|1>) with ry(PICARDY_ADMIT_RAD=2pi/3) on q2", "card": 0.624957, "computed": 0.625043, "verdict": "off", "note": "card value = 0.249914 + 0.750086*sin^2(pi/4) (audit-script formula); applying the 2pi/3 gate gives the computed value" }, { "claim": "IV readout map measures 8 distinct qubits", "card": 8, "computed": { "measured_qubits": [ 0, 1, 2, 3, 5, 4, 3, 6 ] }, "verdict": "off", "note": "ro[4] and ro[1] both measure q[3]; q[7] never measured (fix: ro[1] = measure q[7])" }, { "claim": "dispatch SYMPH-SONATA-01 (19Q, 27 gates) fits iqm:emerald-54q (54Q)", "card": 19, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch SYMPH-SCHERZO-D7 (7Q, {7/2} heptagram) fits iqm:emerald-54q (54Q)", "card": 7, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch SYMPH-BACH-SATB (11Q, zero parallel fifths) fits iqm:emerald-54q (54Q)", "card": 11, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch SYMPH-B9-DMINUS (8Q, Picardy HELD) fits iqm:emerald-54q (54Q)", "card": 8, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch JUPITER-EMERALD-27Q (L=618, S=382) fits iqm:emerald-54q (54Q)", "card": 27, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch MATERIALS-THROUGH-30STAGE (88Q, depth 11) fits braket:rigetti-cepheus-1-108q (108Q)", "card": 88, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch ENOCH-GO-HONEYCOMB (88Q + 20Q ancilla = 108Q) fits braket:rigetti-cepheus-1-108q (108Q)", "card": 108, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch ARE-84-2-CELL-RESCUE (89Q) fits braket:rigetti-cepheus-1-108q (108Q)", "card": 89, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch 115CIRC-FULL-BRIDGE (89Q + 14Q + 12Q = 115Q) fits ibm:heron-156q-mnte-bus (156Q)", "card": 115, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "dispatch AREX-53Q-1260-CNOT (28 layers x 45 CNOTs) fits ibm:heron-156q-mnte-bus (156Q)", "card": 53, "computed": true, "verdict": "matches", "note": "stored as data; not dispatched" }, { "claim": "SYMPH-B9-DMINUS qubits: dispatch list vs movements", "card": 8, "computed": { "movements": 7, "record": 8 }, "verdict": "resolved: record says 8Q", "note": "record: Beethoven 9 fourfold D-minus, 8q4chamber, 4 blocks of 2, seams (1,2)(3,4)(5,6)(7,0); movements.IV qubits=7 needs updating to 8. symph_b9_dminus_iv.qasm declares 8, gates touch q0..q6" }, { "claim": "MATERIALS-THROUGH-30STAGE depth", "card": 11, "computed": { "qubits_declared": 88, "gates": 154, "depth": 13, "depth_stated_in_file_header": 11 }, "verdict": "off", "note": "88Q matches; depth measured from public/qasm/materials_through_88q_30stage.qasm" }, { "claim": "ENOCH-GO-HONEYCOMB 88 + 20 = 108", "card": 108, "computed": 108, "verdict": "matches", "note": "" }, { "claim": "115CIRC 89 + 14 + 12 = 115", "card": 115, "computed": 115, "verdict": "matches", "note": "" }, { "claim": "AREX-53Q 28 x 45 = 1260 CNOT", "card": 1260, "computed": 1260, "verdict": "matches", "note": "" }, { "claim": "receipt_sha256 = sha256(json.dumps(card minus receipt_sha256, sort_keys=True))", "card": "750515402858ff8c2918342f7591e34100536e3daba0c3280b0bcf55c4da98f7", "computed": "750515402858ff8c2918342f7591e34100536e3daba0c3280b0bcf55c4da98f7", "verdict": "matches", "note": "Python default separators (\", \", \": \"), ensure_ascii=True" }, { "claim": "gold_observer_seal cross-reference", "card": "87db1b474f8bd4c2", "computed": true, "verdict": "matches", "note": "same string is the Stage 0 Au197 Observer Seal in materials_through_88q_30stage.qasm; its derivation was not reproduced" }, { "claim": "auth_hash vs existing /symphony/concert-card/coin.json", "card": "729C-F0BF-0EA7-B873-DC33-A11D-8205-F264", "computed": "728C-80BF-0EB7-B973-9C03-A11D-8255-F264", "verdict": "flag", "note": "same card_id + run_id, different auth_hash" }, { "claim": "sealed receipt sha256 (242-line card) [record, pending owner approval]", "card": "12665a81c0a08b380d90b4d80b8b2990c43bad22b0e82cb0c277d6d6eb1cc4e4", "computed": null, "verdict": "stated", "note": "the 242-line sealed card is not in the repo, so this hash is stored as stated and not recomputed; prior receipt 750515... reproduced above" }, { "claim": "MATERIALS-THROUGH label [record, pending owner approval]", "card": "MATERIALS-THROUGH-30STAGE", "computed": true, "verdict": "stated", "note": "31-stage came after this run; every fire went through the 30-stage dynamo, Au-197 first" }, { "claim": "triad sectors 600+129 / 36+6 / 600+129 sum to 729 / 42 / 729 [record, pending owner approval]", "card": { "left": [ 600, 129 ], "seam": [ 36, 6 ], "right": [ 600, 129 ] }, "computed": [ 729, 42, 729 ], "verdict": "matches", "note": "" }, { "claim": "canon rings D4/E4/F4 Hz = A440 equal temperament [record, pending owner approval]", "card": { "D4": 293.66, "E4": 329.63, "F4": 349.23 }, "computed": { "D4": 293.66, "E4": 329.63, "F4": 349.23 }, "verdict": "matches", "note": "3 of 7 seated; rings 4-7 not on record; Picardy held on F4" }, { "claim": "B9 8q4chamber seams cover q0..q7 once [record, pending owner approval]", "card": [ [ 1, 2 ], [ 3, 4 ], [ 5, 6 ], [ 7, 0 ] ], "computed": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "verdict": "matches", "note": "" }, { "claim": "Q_L < ceiling, no Bogo clamp [record, pending owner approval]", "card": { "Q_L": 0.405438, "ceiling": 1.611, "bogo_clamp": false }, "computed": true, "verdict": "matches", "note": "" }, { "claim": "governed Q_L 0.39709 from Q_L 0.405438 [record, pending owner approval]", "card": 0.39709, "computed": { "1.611*tanh(Q_L/1.611)": 0.39709, "ratio": 0.97941 }, "verdict": "stated", "note": "no formula for this step is stated in the record or the repo; 1.611*tanh(Q_L/1.611) = 0.39709 reproduces it to 5 dp, but that is a fit, not a stated formula" }, { "claim": "SONATA-01 fidelity / layout [record, pending owner approval]", "card": { "fidelity": 0.9957, "layout": { "spheres": "q0-q6", "satb": "q7-q10", "ground_8": "q11-q18" } }, "computed": null, "verdict": "stated", "note": "fidelity not computable from the local noiseless sim; layout q0-q6 + q7-q10 + q11-q18 = 19 qubits (card: 19)" }, { "claim": "Russell Chart No.2 / dynamo order / EOLRP lineage [record, pending owner approval]", "card": { "russell": { "chart": "Russell Chart No. 2", "octaves": 9, "active_octave": 6 }, "dynamo": [ "Au-197", "GO", "GaN", "Boron", "Er-167", "Nd-60", "Os-192", "Pb-208" ] }, "computed": null, "verdict": "stated", "note": "EOLRP: both expansions unresolved (2026-06-07 Echo Operator Lossless Reconstruction Protocol; 2026-06-15 vessel header Equilibrium-Oriented Locus Reconstitution Protocol)" } ], "su8_reference": { "Lambda^1 (dim 8)": { "C2": 3.9375, "C3": 14.765625, "C3^2/C2^3": 3.571429 }, "Lambda^2 (dim 28)": { "C2": 6.75, "C3": 16.875, "C3^2/C2^3": 0.925926 }, "Lambda^3 (dim 56)": { "C2": 8.4375, "C3": 10.546875, "C3^2/C2^3": 0.185185 }, "Lambda^4 (dim 70)": { "C2": 9, "C3": 0, "C3^2/C2^3": 0 }, "Sym^2 (dim 36)": { "C2": 8.75, "C3": 39.375, "C3^2/C2^3": 2.314286 }, "adjoint (dim 63)": { "C2": 8, "C3": 0, "C3^2/C2^3": 0 } }, "heptagram": { "adjacency_7_2_C7(2)": [ -1.801938, -1.801938, -0.445042, -0.445042, 1.24698, 1.24698, 2 ], "closed_form_2cos(4*pi*m/7)": [ -1.801938, -1.801938, -0.445042, -0.445042, 1.24698, 1.24698, 2 ], "complement_C7(1,3)": [ -2.24698, -2.24698, -0.554958, -0.554958, 0.801938, 0.801938, 4 ] } }, "ts": "2026-11-05T08:21:34.128Z" }