{
  "schema": "bethe-six-spinon-slice-v2",
  "density_convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
  "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
  "exchange": "1",
  "rapidity_cutoff": "1040",
  "frequencies": [
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    "1.65",
    "1.7",
    "1.8",
    "1.95",
    "2",
    "2.1",
    "2.18",
    "2.215",
    "2.23",
    "2.3",
    "2.5",
    "2.75",
    "3",
    "3.5",
    "4"
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  "runs": [
    {
      "raw_sha256": "e7e571e8ba2e635666868ca2f96b2f17e118598bfc3e336b5590ab54b9d717f4",
      "metadata": {
        "Accumulation and output bits": "1536",
        "Arithmetic format": "arbitrary binary",
        "Bethe revision": "d30b665588c4a093e1081eaf4f6c54cc2b5445fd",
        "Bethe version": "0.1.0",
        "Build type": "Release",
        "CPU timing scope": "spectral grid including geometry and ordered output",
        "Channel": "zz",
        "Compiler": "GNU 13.3.0",
        "Date": "2026-11-01T16:31:59Z",
        "Density absolute tolerance": "0",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "Family": "Partial DSF; physical normalization; no fitted rescaling",
        "First density residue budget": "3120",
        "First density tail order": "52",
        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
        "Maximum buffered detail rows": "1000000",
        "Maximum samples per Async task": "128",
        "Platform": "Linux x86_64",
        "Precision": "bits-1536",
        "Precision scope": "Reference, accumulation and output; six-spinons use declared stages",
        "Program": "bethe-xxx-structure-factor-thermo",
        "Recovery accounting": "Retained observations including terminal failure; excludes discarded speculative work",
        "Recovery seconds per configuration": "60",
        "Reference density comparison bits": "256",
        "Reference density guard bits": "320",
        "Samples per replicate": "7936",
        "Scheduler concurrency limit": "24",
        "Second density residue budget": "3136",
        "Second density tail order": "56",
        "Selected spinon sectors": "6",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "Six-spinon fp128 arithmetic format": "binary128",
        "Six-spinon fp128 density comparison bits": "64",
        "Six-spinon fp128 density guard bits": "113",
        "Six-spinon fp128 geometry bits": "113",
        "Six-spinon fp80 arithmetic format": "extended80",
        "Six-spinon fp80 density comparison bits": "53",
        "Six-spinon fp80 density guard bits": "64",
        "Six-spinon fp80 geometry bits": "64",
        "Six-spinon native soft fraction": "0.5",
        "Six-spinon one-pair center scale": "4",
        "Six-spinon one-pair gap scale": "0.5",
        "Six-spinon one-pair weight": "0.25",
        "Six-spinon precision stages": "fp80,fp128,reference",
        "Six-spinon reference arithmetic format": "arbitrary binary",
        "Six-spinon reference density comparison bits": "256",
        "Six-spinon reference density guard bits": "320",
        "Six-spinon reference geometry bits": "1536",
        "Six-spinon replicates": "32",
        "Six-spinon seed": "7400",
        "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
        "Six-spinon two-pair center scale": "8",
        "Six-spinon two-pair gap scale": "1",
        "Six-spinon two-pair weight": "0.25",
        "Six-spinon uniform grid bits": "52",
        "Spectral points": "1",
        "Two-spinon kernel budget": "200000",
        "Two-spinon maximum quadrature order": "256",
        "Two-spinon transition-integral tolerance": "3.398729520913011860093953284520252400789375910003641091988683168052916849103753004282714240449943584383033816479430596583947889864274130700688689053923868733236620084648592413346764816224643197875682748195037855530063990465806673395659207376007459851580777144106530752877130345825578137319386314411355576682634222135329902799098810425042947155036484786803262625354934628211626354409225035393917940884474744407361200964632459307030274801586156341299509918665858753e-459",
        "Uni20 revision": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
        "Working precision (bits)": "1536"
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      "summary": {
        "CPU time": "16182.106476 s",
        "Elapsed seconds": "1454.79761750900001971",
        "Failed points": "0",
        "Outcome": "success",
        "Run CPU seconds": "16182.1069810000000002",
        "Status": "finite_domain_estimate",
        "Threshold points": "0"
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        "Six-spinon fp128 density comparison bits": "64",
        "Six-spinon fp128 density guard bits": "113",
        "Six-spinon fp128 geometry bits": "113",
        "Six-spinon fp80 arithmetic format": "extended80",
        "Six-spinon fp80 density comparison bits": "53",
        "Six-spinon fp80 density guard bits": "64",
        "Six-spinon fp80 geometry bits": "64",
        "Six-spinon native soft fraction": "0.5",
        "Six-spinon one-pair center scale": "4",
        "Six-spinon one-pair gap scale": "0.5",
        "Six-spinon one-pair weight": "0.25",
        "Six-spinon precision stages": "fp80,fp128,reference",
        "Six-spinon reference arithmetic format": "arbitrary binary",
        "Six-spinon reference density comparison bits": "256",
        "Six-spinon reference density guard bits": "320",
        "Six-spinon reference geometry bits": "1536",
        "Six-spinon replicates": "32",
        "Six-spinon seed": "7401",
        "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
        "Six-spinon two-pair center scale": "8",
        "Six-spinon two-pair gap scale": "1",
        "Six-spinon two-pair weight": "0.25",
        "Six-spinon uniform grid bits": "52",
        "Spectral points": "1",
        "Two-spinon kernel budget": "200000",
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        "Uni20 revision": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
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        "Failed points": "0",
        "Outcome": "success",
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        "Date": "2026-11-01T17:03:14Z",
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      "raw_sha256": "b0463a46cdbed15eb83651079598cac17121937ee94bfcc1076ec230164b9ea4",
      "metadata": {
        "Accumulation and output bits": "1536",
        "Arithmetic format": "arbitrary binary",
        "Bethe revision": "d30b665588c4a093e1081eaf4f6c54cc2b5445fd",
        "Bethe version": "0.1.0",
        "Build type": "Release",
        "CPU timing scope": "spectral grid including geometry and ordered output",
        "Channel": "zz",
        "Compiler": "GNU 13.3.0",
        "Date": "2026-11-01T17:20:14Z",
        "Density absolute tolerance": "0",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "Family": "Partial DSF; physical normalization; no fitted rescaling",
        "First density residue budget": "3120",
        "First density tail order": "52",
        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
        "Maximum buffered detail rows": "1000000",
        "Maximum samples per Async task": "128",
        "Platform": "Linux x86_64",
        "Precision": "bits-1536",
        "Precision scope": "Reference, accumulation and output; six-spinons use declared stages",
        "Program": "bethe-xxx-structure-factor-thermo",
        "Recovery accounting": "Retained observations including terminal failure; excludes discarded speculative work",
        "Recovery seconds per configuration": "60",
        "Reference density comparison bits": "256",
        "Reference density guard bits": "320",
        "Samples per replicate": "1280",
        "Scheduler concurrency limit": "24",
        "Second density residue budget": "3136",
        "Second density tail order": "56",
        "Selected spinon sectors": "6",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "Six-spinon fp128 arithmetic format": "binary128",
        "Six-spinon fp128 density comparison bits": "64",
        "Six-spinon fp128 density guard bits": "113",
        "Six-spinon fp128 geometry bits": "113",
        "Six-spinon fp80 arithmetic format": "extended80",
        "Six-spinon fp80 density comparison bits": "53",
        "Six-spinon fp80 density guard bits": "64",
        "Six-spinon fp80 geometry bits": "64",
        "Six-spinon native soft fraction": "0.5",
        "Six-spinon one-pair center scale": "4",
        "Six-spinon one-pair gap scale": "0.5",
        "Six-spinon one-pair weight": "0.25",
        "Six-spinon precision stages": "fp80,fp128,reference",
        "Six-spinon reference arithmetic format": "arbitrary binary",
        "Six-spinon reference density comparison bits": "256",
        "Six-spinon reference density guard bits": "320",
        "Six-spinon reference geometry bits": "1536",
        "Six-spinon replicates": "32",
        "Six-spinon seed": "7404",
        "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
        "Six-spinon two-pair center scale": "8",
        "Six-spinon two-pair gap scale": "1",
        "Six-spinon two-pair weight": "0.25",
        "Six-spinon uniform grid bits": "52",
        "Spectral points": "1",
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        "Uni20 revision": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
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        "Elapsed seconds": "273.612756563000004917",
        "Failed points": "0",
        "Outcome": "success",
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          "reason": "all declared recovery stages exhausted: arithmetic screen failed"
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          "replicate": "31",
          "stage": "reference",
          "kind": "stage",
          "attempts": "3",
          "accepted": "3",
          "retried": "0",
          "supported_roots": "6",
          "density_attempts": "12",
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    {
      "raw_sha256": "da0bf71a15a9fa3610cb02b60172622101f9b201edaa5c8598683f00b92b8f3b",
      "metadata": {
        "Accumulation and output bits": "1536",
        "Arithmetic format": "arbitrary binary",
        "Bethe revision": "d30b665588c4a093e1081eaf4f6c54cc2b5445fd",
        "Bethe version": "0.1.0",
        "Build type": "Release",
        "CPU timing scope": "spectral grid including geometry and ordered output",
        "Channel": "zz",
        "Compiler": "GNU 13.3.0",
        "Date": "2026-11-01T17:24:49Z",
        "Density absolute tolerance": "0",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "Family": "Partial DSF; physical normalization; no fitted rescaling",
        "First density residue budget": "3120",
        "First density tail order": "52",
        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
        "Maximum buffered detail rows": "1000000",
        "Maximum samples per Async task": "128",
        "Platform": "Linux x86_64",
        "Precision": "bits-1536",
        "Precision scope": "Reference, accumulation and output; six-spinons use declared stages",
        "Program": "bethe-xxx-structure-factor-thermo",
        "Recovery accounting": "Retained observations including terminal failure; excludes discarded speculative work",
        "Recovery seconds per configuration": "60",
        "Reference density comparison bits": "256",
        "Reference density guard bits": "320",
        "Samples per replicate": "1792",
        "Scheduler concurrency limit": "24",
        "Second density residue budget": "3136",
        "Second density tail order": "56",
        "Selected spinon sectors": "6",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "Six-spinon fp128 arithmetic format": "binary128",
        "Six-spinon fp128 density comparison bits": "64",
        "Six-spinon fp128 density guard bits": "113",
        "Six-spinon fp128 geometry bits": "113",
        "Six-spinon fp80 arithmetic format": "extended80",
        "Six-spinon fp80 density comparison bits": "53",
        "Six-spinon fp80 density guard bits": "64",
        "Six-spinon fp80 geometry bits": "64",
        "Six-spinon native soft fraction": "0.5",
        "Six-spinon one-pair center scale": "4",
        "Six-spinon one-pair gap scale": "0.5",
        "Six-spinon one-pair weight": "0.25",
        "Six-spinon precision stages": "fp80,fp128,reference",
        "Six-spinon reference arithmetic format": "arbitrary binary",
        "Six-spinon reference density comparison bits": "256",
        "Six-spinon reference density guard bits": "320",
        "Six-spinon reference geometry bits": "1536",
        "Six-spinon replicates": "32",
        "Six-spinon seed": "7405",
        "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
        "Six-spinon two-pair center scale": "8",
        "Six-spinon two-pair gap scale": "1",
        "Six-spinon two-pair weight": "0.25",
        "Six-spinon uniform grid bits": "52",
        "Spectral points": "1",
        "Two-spinon kernel budget": "200000",
        "Two-spinon maximum quadrature order": "256",
        "Two-spinon transition-integral tolerance": "3.398729520913011860093953284520252400789375910003641091988683168052916849103753004282714240449943584383033816479430596583947889864274130700688689053923868733236620084648592413346764816224643197875682748195037855530063990465806673395659207376007459851580777144106530752877130345825578137319386314411355576682634222135329902799098810425042947155036484786803262625354934628211626354409225035393917940884474744407361200964632459307030274801586156341299509918665858753e-459",
        "Uni20 revision": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
        "Working precision (bits)": "1536"
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      "summary": {
        "CPU time": "5358.226746 s",
        "Elapsed seconds": "390.552674952999979041",
        "Failed points": "0",
        "Outcome": "success",
        "Run CPU seconds": "5358.22729999999999961",
        "Status": "finite_domain_estimate",
        "Threshold points": "0"
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        "Date": "2026-11-01T17:38:18Z",
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        "Six-spinon seed": "7407",
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        "Date": "2026-11-01T17:52:43Z",
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        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
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        "Arithmetic format": "arbitrary binary",
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        "Bethe version": "0.1.0",
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        "Date": "2026-11-01T18:00:38Z",
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        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "Family": "Partial DSF; physical normalization; no fitted rescaling",
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        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
        "Maximum buffered detail rows": "1000000",
        "Maximum samples per Async task": "128",
        "Platform": "Linux x86_64",
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        "Precision scope": "Reference, accumulation and output; six-spinons use declared stages",
        "Program": "bethe-xxx-structure-factor-thermo",
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        "Recovery seconds per configuration": "60",
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        "Reference density guard bits": "320",
        "Samples per replicate": "3840",
        "Scheduler concurrency limit": "24",
        "Second density residue budget": "3136",
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        "Six-spinon fp80 arithmetic format": "extended80",
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        "Six-spinon fp80 density guard bits": "64",
        "Six-spinon fp80 geometry bits": "64",
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        "Six-spinon reference arithmetic format": "arbitrary binary",
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        "Six-spinon reference density guard bits": "320",
        "Six-spinon reference geometry bits": "1536",
        "Six-spinon replicates": "32",
        "Six-spinon seed": "7410",
        "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
        "Six-spinon two-pair center scale": "8",
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      "raw_sha256": "b65e332e1bbea65f2e297c6bfc096d617ed01dcb31f1f50109e6fa5a15f9f3a5",
      "metadata": {
        "Accumulation and output bits": "1536",
        "Arithmetic format": "arbitrary binary",
        "Bethe revision": "d30b665588c4a093e1081eaf4f6c54cc2b5445fd",
        "Bethe version": "0.1.0",
        "Build type": "Release",
        "CPU timing scope": "spectral grid including geometry and ordered output",
        "Channel": "zz",
        "Compiler": "GNU 13.3.0",
        "Date": "2026-11-01T15:51:21Z",
        "Density absolute tolerance": "0",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "Family": "Partial DSF; physical normalization; no fitted rescaling",
        "First density residue budget": "3120",
        "First density tail order": "52",
        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
        "Maximum buffered detail rows": "1000000",
        "Maximum samples per Async task": "128",
        "Platform": "Linux x86_64",
        "Precision": "bits-1536",
        "Precision scope": "Reference, accumulation and output; six-spinons use declared stages",
        "Program": "bethe-xxx-structure-factor-thermo",
        "Recovery accounting": "Retained observations including terminal failure; excludes discarded speculative work",
        "Recovery seconds per configuration": "60",
        "Reference density comparison bits": "256",
        "Reference density guard bits": "320",
        "Samples per replicate": "4096",
        "Scheduler concurrency limit": "24",
        "Second density residue budget": "3136",
        "Second density tail order": "56",
        "Selected spinon sectors": "6",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "Six-spinon fp128 arithmetic format": "binary128",
        "Six-spinon fp128 density comparison bits": "64",
        "Six-spinon fp128 density guard bits": "113",
        "Six-spinon fp128 geometry bits": "113",
        "Six-spinon fp80 arithmetic format": "extended80",
        "Six-spinon fp80 density comparison bits": "53",
        "Six-spinon fp80 density guard bits": "64",
        "Six-spinon fp80 geometry bits": "64",
        "Six-spinon native soft fraction": "0.5",
        "Six-spinon one-pair center scale": "4",
        "Six-spinon one-pair gap scale": "0.5",
        "Six-spinon one-pair weight": "0.25",
        "Six-spinon precision stages": "fp80,fp128,reference",
        "Six-spinon reference arithmetic format": "arbitrary binary",
        "Six-spinon reference density comparison bits": "256",
        "Six-spinon reference density guard bits": "320",
        "Six-spinon reference geometry bits": "1536",
        "Six-spinon replicates": "32",
        "Six-spinon seed": "7412",
        "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
        "Six-spinon two-pair center scale": "8",
        "Six-spinon two-pair gap scale": "1",
        "Six-spinon two-pair weight": "0.25",
        "Six-spinon uniform grid bits": "52",
        "Spectral points": "1",
        "Two-spinon kernel budget": "200000",
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        "Uni20 revision": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
        "Working precision (bits)": "1536"
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        "Elapsed seconds": "537.0604901990000144",
        "Failed points": "0",
        "Outcome": "success",
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        "Arithmetic format": "arbitrary binary",
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        "Date": "2026-11-01T16:00:19Z",
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        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
        "Maximum buffered detail rows": "1000000",
        "Maximum samples per Async task": "128",
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        "Six-spinon seed": "7413",
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        "Arithmetic format": "arbitrary binary",
        "Bethe revision": "d30b665588c4a093e1081eaf4f6c54cc2b5445fd",
        "Bethe version": "0.1.0",
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        "Compiler": "GNU 13.3.0",
        "Date": "2026-11-01T16:21:09Z",
        "Density absolute tolerance": "0",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "Family": "Partial DSF; physical normalization; no fitted rescaling",
        "First density residue budget": "3120",
        "First density tail order": "52",
        "Hamiltonian": "H=J sum S_j.S_(j+1); infinite chain; zero field and temperature",
        "Maximum buffered detail rows": "1000000",
        "Maximum samples per Async task": "128",
        "Platform": "Linux x86_64",
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        "Precision scope": "Reference, accumulation and output; six-spinons use declared stages",
        "Program": "bethe-xxx-structure-factor-thermo",
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        "Reference density comparison bits": "256",
        "Reference density guard bits": "320",
        "Samples per replicate": "4096",
        "Scheduler concurrency limit": "24",
        "Second density residue budget": "3136",
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        "Selected spinon sectors": "6",
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        "Six-spinon background weight": "0.5",
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        "Six-spinon fp128 density guard bits": "113",
        "Six-spinon fp128 geometry bits": "113",
        "Six-spinon fp80 arithmetic format": "extended80",
        "Six-spinon fp80 density comparison bits": "53",
        "Six-spinon fp80 density guard bits": "64",
        "Six-spinon fp80 geometry bits": "64",
        "Six-spinon native soft fraction": "0.5",
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        "Six-spinon one-pair gap scale": "0.5",
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        "Six-spinon reference geometry bits": "1536",
        "Six-spinon replicates": "32",
        "Six-spinon seed": "7415",
        "Six-spinon stream identities": "first_replicate=grid_index*replicates; distinct streams at each point",
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