{
  "schema": "bethe-six-spinon-slice-calibration-v1",
  "scope": "Bounded finite-domain calibration, not a resolved spectrum or an omitted-tail bound. Failed whole queries remain unavailable; no survivor estimates.",
  "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
  "uni20": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
  "timing_scope": "External whole-process CPU/wall, including preparation and exports. Hardware and worker count retained per query.",
  "queries": [
    {
      "id": "pilot-12-cutoff-polaron/R1040-independent",
      "requested_frequency": "2",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
      "binary_sha256": "e174b9fac65bc10409409f2bd2af10f9021c6b9712fb5428005891efd5138abc",
      "export_sha256": "046bae284bd0c0166c64ccc5a058dc46315dcfa7e093970bab8d2ba4f4e7fc97",
      "exit_code": 2,
      "wall_seconds": 392.45189498199034,
      "cpu_seconds": 4243.7843139999995,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--omega",
        "2",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "256",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1040",
        "--density-tail-order",
        "32",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--six-cutoff",
        "1040",
        "--replicates",
        "16",
        "--samples",
        "128",
        "--seed",
        "7310",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1040",
        "First density tail order": "32",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "128",
        "Second density residue budget": "1056",
        "Second density tail order": "36",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7310",
        "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"
      },
      "status": "incomplete",
      "estimate": null,
      "failed_replicates": 3,
      "reported_failure_reasons": [
        "all declared recovery stages exhausted: contour-tail screen failed",
        "all declared recovery stages exhausted: precision and contour screens passed"
      ],
      "diagnosis": "Exact replay below shows that the original contour controls remain insufficient after a precision-only increase. Some final passing-control messages are misleading in this source version; corrected by PR84 without changing numerical acceptance."
    },
    {
      "id": "pilot-14-cutoff-and-anchors-polaron/R1040-recovered",
      "requested_frequency": "2",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
      "binary_sha256": "e174b9fac65bc10409409f2bd2af10f9021c6b9712fb5428005891efd5138abc",
      "export_sha256": "42d758fad422f65d5197fae879bb58ed229fa142eed9831a9b41b8c80820222e",
      "exit_code": 0,
      "wall_seconds": 659.6009484230017,
      "cpu_seconds": 7816.931006000001,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "256",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--omega",
        "2",
        "--six-cutoff",
        "1040",
        "--replicates",
        "16",
        "--samples",
        "128",
        "--seed",
        "7310",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "128",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7310",
        "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"
      },
      "status": "finite_domain_estimate",
      "estimate": {
        "omega": "2",
        "s6": "0.0524642758063189133798748099619831091230427333533616627836019865045732463576686434175163453499053767775089056546266875836430906011974765851733446238330519614491484840856678445690250156140068346258485875721405517702136647529428673094393727991776852591668706525475267924565734113851569846260069376363336376151919253302625515079352475584546346593880413237906511312259034733676446409560642197871705192247754149405468231331771680433806597651786828566346460043992999947876875",
        "sampling_se": "0.00646105645277829409707934272792071938861998611813656426148313728369790424421201948594224884569730864899179709379725590887303229303114592265954409923709852698662160223098535497303420742693749977394723284979847359738482151314248048257210744931034967666874159690165906002364196838728737505340625018148498060929346417882893715858478320573708170670158143476269892972664913744993041501135499429176015739997218889681581033464794175726209507752048566372264452930760671601905670148980681487263462221498788403984653062148255574010441763778947487843",
        "sampling_se_reconstruction_allowance": "1.34285914273270653530489793167199579536074331174827010024230786265254015150574764200706866875860597087462557459647895118130905235475438300363636882893789246022786205935070981333156320887751599351196250850020433125908392455747525488646784635844648079718855367276601270153770963986286904259508499390216971872516652154672512511459755403421611995179615403532630685658310907660791754974862349473676897384822961915340151085131311891156914197808985867862257787371817220151192396894405313541794109475520538989974497936248680521545327325698961539E-461",
        "relative_sampling_se": "0.123151541758251243641695661512707337222853195856456978340211231756500863201603021202599598065272229842842250936626996903989154257086571547378884102966728694996895873722968634257072596046327195346836218888583113840144440113034770133009880371003995144678324091914841877462085990674957393876564149058236774880322601318589833742972227619378388473013762917211572539718279148045045566150180495829436943525107131503546743435094617334086765864802361890072579173894576500209159524871475413494147471046487035540636589549253539037462553556422079941",
        "largest_draw_fraction": "0.115671762902968084463371021682481040924736918704262405017098417546122341350251876979569116737097007014927013557402989324718154870602079807714891136370461470009868557074436653382430291861758057316949502721403021078714809266823343707386241894805106602453219652172966139134531789490072421916073676295075338899206181546412410921168132361406729903008902881965495606089098311021634438309594173598742431976729194661621926943319686113670617643079069330497993256062077388741689530109971263381231332644055201704930100429773826418949758248835699323",
        "largest_replicate_fraction": "0.150619142181511650630143294981630716929486835045018588530582399993523407765880192842095845132917223533487782503102172689472849303981788640038645468022693824594598721933610913337581895231077884276788721156640836113547843559594366386714499988633343874908095467842358519757741774257415195894257042868737858200940043270128862611798712189206826798189709788817246953057657374342188588719347218982519014555643391193841427213991278800483081009844348226434740960713475216570016853432550412809227945371473023176789848730949878229918377819647091219",
        "contour_diagnostic": "2.132886168253626048352717417304674508673291653207244426764598805131597381121498290995153979989115462270539052904276420275272774123889570300291987906786043031766410342955674296148278866109448501734379637917204521794169187708723676181363874723253418300860172974925115750016164545357895387206814444982092112343198768059281674552443034956420948765724623624478638682636618921012949764679006805055551449848266870517801058500886530356022878811321700336940481314315377771e-37",
        "arithmetic_diagnostic": "8.3511802797968853681954643851979818684290283759571282030787285048248507983130734155291223056175170169934935535431181259707836975866107307964470975274837210143356801953470883822628959784983429356493270006377856045889740020181519345851314060420689663261626111509638043598314444551977684206371249709040233991107678075630226161106924770310072091941724906888543263908539549560821606036072180539767416245183916733828272476650816744386354203050596935422605818677786704636e-27",
        "supported_roots": 776,
        "density_attempts": 1552,
        "status": "estimated"
      }
    },
    {
      "id": "pilot-14-cutoff-and-anchors-polaron/R512-recovered",
      "requested_frequency": "2",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
      "binary_sha256": "e174b9fac65bc10409409f2bd2af10f9021c6b9712fb5428005891efd5138abc",
      "export_sha256": "72f3e915919ce95b832f07902707b6a2877be6c05a87ee66bb5f82d5a4d0c1cc",
      "exit_code": 0,
      "wall_seconds": 691.3740284410014,
      "cpu_seconds": 8162.290668999998,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "256",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--omega",
        "2",
        "--six-cutoff",
        "512",
        "--replicates",
        "16",
        "--samples",
        "128",
        "--seed",
        "7310",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "128",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "512",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7310",
        "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"
      },
      "status": "finite_domain_estimate",
      "estimate": {
        "omega": "2",
        "s6": "0.052373020536188568707776272837991014455614194598742931686583787566346773554351497838764110654546707362876981383234942895061389838922770750622912545381551332611279896197838935750439869674677678451197066908977037306936068224530925882514348608182720745322257868126112436241040630613913150976998319724113145384801203264092371629182957345872365551059598944809563622464301967960355190827959798512697701917921507098990003702329447650536483586934045143165870730996089450062625",
        "sampling_se": "0.00637067075939902085394356674082477112565181075408668702012106301700822509229641979995113652880243656595013244994906461995082979034882584237497666683343720185080446354760668729444485001550635389074679018508985817588133503042085667481927359123867707486085772956639672319112096906317912808312989393906241596136648378386406978089470808045985215214931518351022969006361295463842617997855539270512027265363220733894263548930192445012140413703349211067566991862770565524022293588341832972252204010647037443883523917809326082988965850889229433544",
        "sampling_se_reconstruction_allowance": "1.32604111905804531379813942073173041018843507764255859966229392189703002133374765085065807614516961905954655430248208307412854433326760000572597939434174441016124490193139591585617534967197324747550447182338634302927007704517258981603579924881090570368472018633522746935166272867068544459964721553472816156767534051797804352497814609622986888233483094818639997286799814228657410898971373549853606462895640982737559034128211159861657517234519149827669345564198070428812324378288735650351562891162928135104817603335472390435431077312405950E-461",
        "relative_sampling_se": "0.121640315837751460728019146168774881811727923165795847919621433787491303779184752747043762191136471963707263080005894974220796477057995255249868849518730074345371104168135404444683135710700529953407625058713348925413966408133004945243571535044110881749643400348886559607932295640712059253279650205689824148361417479497386545659802416363444743341761445072997676587464938986953086575470701997391900958214229517794175901202675407312832312225218825618943321211864869572525134024178121859885485278687745830219023310638885536239824606011784192",
        "largest_draw_fraction": "0.113679500684150226978953293362555178094183069448967261797930801749322341471985732184919314535647181287664329480645404926897781970913512355281213380283233071492902159152054151569626653761898518966326016806367390785003105911770978291974711981322795503396741312892905170254616537378978891179965343837280259091287019291953814463212952290675811745822636949609229702762271456439135157285457048914638775739834832811943860553224106358788155719558056672151976810389073321753262427905299709848760861167531416104557700682770471937763581023478297671",
        "largest_replicate_fraction": "0.148991935262682774007672789044690188964895076079603228817425371820823679908095961620972100830813963574155650723792808081946969487349653135582174982260232565648284309988956450679156610960861706846518685110831455995349830945064675775688437119740201168016771282971501665263430211469808540586414324589091375243680949728887349460970104399296974630061795419965697863422434193312318844888685647393735106183533781435452323600967552508188739657748644916031951277776462691417471270358373393693303042601429464969040214432211429482185423449541326243",
        "contour_diagnostic": "1.2744399749267757910743467612151226457895193007221782571592592783616366386212310746069559906818195685346876690154618319421604767291084885398663099503327546238810109397615598115243828548768501144980973355803435660866709249332141250900007348973378647512107236063941601963132504871348428944967999570165130431666290534090474860583406402586676440048575933782899786855051147069085239216647910867226439877943661091626842536854568673919543430949691626280406732533207339654e-73",
        "arithmetic_diagnostic": "7.8100652014010326997446548407574433554077060310036095040943026050803292313524098644025743785916128697856795418753369148538716190460566484734066466116974549100220724994695324376895621423077311849146021820635524982653576850173022661809792841517667234917871769309459842405931175489770359784425854048399346111008605858698879482522159337460723584110371448122104098473752994185217534226191028112648591045348334919411235091548370128497839791109238859023907518609209824701e-49",
        "supported_roots": 776,
        "density_attempts": 1552,
        "status": "estimated"
      }
    },
    {
      "id": "pilot-14-cutoff-and-anchors-polaron/anchor-w1p7",
      "requested_frequency": "1.7",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
      "binary_sha256": "e174b9fac65bc10409409f2bd2af10f9021c6b9712fb5428005891efd5138abc",
      "export_sha256": "3897b776be562e8004c1624e709250a7a2eb39a8b4a4966a0aff14a9a842c84d",
      "exit_code": 0,
      "wall_seconds": 242.56946522300132,
      "cpu_seconds": 2789.325638000001,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "256",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--omega",
        "1.7",
        "--six-cutoff",
        "1040",
        "--replicates",
        "16",
        "--samples",
        "64",
        "--seed",
        "7311",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "64",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7311",
        "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"
      },
      "status": "finite_domain_estimate",
      "estimate": {
        "omega": "1.7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003",
        "s6": "0.04341055539325473915781493132808102569722356985993901201586784495833698113748844909989889576087142687539230824690205400876641991533458416343654440033448371362960554965431538637652454536206903370528269923623777872674366468259761961780692366117435172973722799492840893250832161613859035202988403663947960834539786194934842836125094975077989192053571508660109578912173696876770268656374813126502398473370577289831043083287204584804196672272909425994206711859789552935755",
        "sampling_se": "0.00934677694045219622252617378084571446744774762757183804502028952184936621620062105966621727723316052397392795025568860099489271390138005181301728418071121395099534509328924875321005686773542777468358423720167294734362325859144408803802854224759450510201340419387717453149284140595448192187047551494430510123800172322960129188153981277604333613546737827394760321222083360263498837402699457263523935256321086872439146627818924537531785072342245198968036049953070330114089680566879537943665887961259621583245207496080224650475175119522592841",
        "sampling_se_reconstruction_allowance": "1.12397742665215545044583823306369241086419025188965514945862000822315620845334851431085019330146721131564381992851455228440826385625420422666106659670234782583531335347619552763623305656578729461426229807506496558661219975531977716548078417106548211328954595598674191099032196231511758378456598080870420135549212283219202296715066656288334191489279495256384497821042758260874078418098261137580618302383077333990515852088577633171754294220114491593629645589666060769853699003017131159691712019888234862963109228557198243534423876415726951E-461",
        "relative_sampling_se": "0.215311157753686011209330071446954882773843433941865983957130453789295663380814623856338377030541345973345515241212613125437633968573504174392289633288014793888273213222254565992395774430390477925760397724472585149230921575665147419547365803618715968231483134939502315436437011380542741177214164692354095134995048644743778884280819611976475846341867489219257582132541929486067317008486213896217183893565157145090844718377673681929325884978246202383913943604507628063042485415411970175121267960335159268675807036410151664078377310694576235",
        "largest_draw_fraction": "0.120838314780301748130119959882610843279644380161766612885690601117059225297056931540967053046092763690828578692567046878562871202102847471916374450982387171599185033752406628897043825678339829275167514783957617836127102598963599856490859032068734585773447429380226602040370784960074651325589868569646150736726978431894746582265264076514337602434483320183340699772919000108436541174950275821221902027065554273057757132100509197319104958396900453675976334477936853970990237581257028477030789606926431052020293207098957646506916851822435357",
        "largest_replicate_fraction": "0.152361640059754826436598364840476069146449144699245750546324374132806026757325636587702892501360335733646147445557349083293450084153417517153382395068087461600469092020206740588626198137890784234382936049177549934907479646504821681102126682754805834811424574363749116738548385074546606622537571986594273132698894390045356941780802079528723136987618490987061701538243861980192521685489535741583590883898580383216039019942116118188278918401998603357433559516759350001324418435928226814253488160103923597572014882282958484649560385986856310",
        "contour_diagnostic": "3.8450063813906485258835821895665195655748491932341110214040731893360473204246654233466626748933684487325311977802474327533735903484192001899779648648301784370634128721252649692702995404413100511120490526408947332499517421840023009695284845741539922213183467609748541031072382750950388749251078952215205194555766604979642663430407047883855685669329332638296923751324744220106929417512830274536959640249386962539596608530904930121668040591871382742410294051405441382e-50",
        "arithmetic_diagnostic": "2.9260015652614542592545550620122452339495288957031269205704488629515880216877255320137268882421201666148973094379712611422433607146337683582580158770399205906669337840522919045397188561164339590461996733946505067079269176020474014180730984058101665901226107523536467623478717313298565621728513860105814066509186784776063991727405524217151486982726755812405115745712272990301604158643570801708164237163470189790606591745933938547386189292061164989232811500522534123e-36",
        "supported_roots": 256,
        "density_attempts": 512,
        "status": "estimated"
      }
    },
    {
      "id": "pilot-14-cutoff-and-anchors-polaron/anchor-w2p3",
      "requested_frequency": "2.3",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
      "binary_sha256": "e174b9fac65bc10409409f2bd2af10f9021c6b9712fb5428005891efd5138abc",
      "export_sha256": "53e9d5445417f882702f5c8cf1ae9b0362edec818a6174ec41343b977815aa1c",
      "exit_code": 0,
      "wall_seconds": 277.8872898769914,
      "cpu_seconds": 2982.8373279999996,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "256",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--omega",
        "2.3",
        "--six-cutoff",
        "1040",
        "--replicates",
        "16",
        "--samples",
        "64",
        "--seed",
        "7312",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "64",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7312",
        "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"
      },
      "status": "finite_domain_estimate",
      "estimate": {
        "omega": "2.2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997",
        "s6": "0.00637299637886421170949390704609397435588590342130717664829057350464765850030337143312942843672030562649288847248879261674638768096981309031524792416597178155046918154350965548139248790416670179039365088333972726744178942372467828265904139389451819995888495982942768942424729256762470831319217984363087831001858628527874037870592593732473853122929616515042111186106606237748504563822018791859853939674360873783281178598589606190523198886410294347609597763579124381865875",
        "sampling_se": "0.00131990848356171302359326576694500637953910905802545694793950871545337183177661358246452444073521471961492170210749354085403425263762812649300618964862253640048076381151493409285441568981130199860991908605386312946276202165851047967529726479350447288751742964843682188814850337839676089239789591273971513133146516210657052362718754575661856926813703007825819397344260599441347576131993383733946652476451050904208272789332874958489668681698850364901646988517626666713189185828906028255957506009159846448563004375889624681331015301353779652",
        "sampling_se_reconstruction_allowance": "1.63076684496115042788002699389950161265863406010039283376102745895038393246842191997952716474656820247978868873029380630545789909785525672408187246127613184194178963335401185775778683469189384068857245763428298685145811042040993996331537372500393577660608134678969314546203850709062676185326944409702007292311900425062027873414007420690396180120709516234630374064066800716895746614875142785416260938488177762189505410941949930355290056233496640479234883363878354301470367547976074531415236195685895092169297208975536422292705334321806043E-462",
        "relative_sampling_se": "0.207109561200934753717393840239654763786303629507778803114833113597341535760876556507383676480684799083029606736295871785695955171262976731917034080258236682724037418121843320029645287973401964643028295324922266626120181254938793309765577727290402557523907105519784599473038360233735920906834792547639511001394012244490314811416401603195029322527454646311389446781697875615275916878562299444072124857219217892416781313086124171753334835744337211320462009462837608636494178326676065316408074504937413375588109546091701940510595142322321142",
        "largest_draw_fraction": "0.147579811706848694402893126966576341256308288452200891216134926092264582606740039152227048108038181397257057753410069088591554716814922588881050897123749787116634918239130419815372930513683172249803442576333234708506912144530108103086502241752152050859864119170115786315887991687529615545283488325774870600007913588222180483624617888020263865776362679364792225158379376938351974433736374659465399089665948320368484819281717866132579173606690082458725863372987377263318187228316399842885330546667503125343654417196195337216126935024612911",
        "largest_replicate_fraction": "0.150578023912060810851743840670513969416160984709485538021157445876704356597908104521005429918223097928054631086599715451278442715403439517182005581635149973467388873373748619981347631173828342188747974493977809809529300758386745509562033204123134211970661827563127479358769786796886252860770858998691246703257956004753989485952922588499682842023387930878499093166634236861418845298460193137881391306249263566503667446377188857755697622027109861778746515440182769246900291098644612429658955283079850836516185590155248450262947141042500646",
        "contour_diagnostic": "3.0581833413425693883063299032780031108516524391607494658984207625535590569630345336201124474366103330923168632235703980284142310189471602330844891822672389711293176771792146133539240088132911450683183319111463847876169144553242472568516197913993117545592893516619745275121025032049688018577828661755416536464045731203347959137327534880998466776368909573255747752012151873235615233696037341929244722950263933367529854430423052228455243224363308525041479579628059068e-84",
        "arithmetic_diagnostic": "1.0716584878132760266885470392914980679844812044860257489180707422236696988422543338680599931131564198507798537558640933917657779738288574895653001971559454795693808572309134377565958709506308428400113117494999556716604861496618170304941512806496451808004587134741543923018039148066188976976523470754613718177361290756749191236888874834990926046098040862582420692523584693212926395306787172373761056984108899594882617917822228312913825673025074668584159533391013398e-53",
        "supported_roots": 284,
        "density_attempts": 568,
        "status": "estimated"
      }
    },
    {
      "id": "pilot-14-cutoff-and-anchors-polaron/anchor-w3",
      "requested_frequency": "3",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
      "binary_sha256": "e174b9fac65bc10409409f2bd2af10f9021c6b9712fb5428005891efd5138abc",
      "export_sha256": "7afdbb792a51cd6e827befa7367fad96b243637310f8347484ef7271995c3009",
      "exit_code": 2,
      "wall_seconds": 264.2976754120027,
      "cpu_seconds": 2911.5655519999996,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "256",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--omega",
        "3",
        "--six-cutoff",
        "1040",
        "--replicates",
        "16",
        "--samples",
        "64",
        "--seed",
        "7313",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "64",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7313",
        "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"
      },
      "status": "incomplete",
      "estimate": null,
      "failed_replicates": 1,
      "reported_failure_reasons": [
        "all declared recovery stages exhausted: precision and contour screens passed"
      ],
      "diagnosis": "Exact replay below identifies the failed first arithmetic control. Some final passing-control messages are misleading in this source version; corrected by PR84 without changing numerical acceptance."
    },
    {
      "id": "pilot-16-edge-controls/edge-w1p6",
      "requested_frequency": "1.6",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "ryzen",
      "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
      "workers": 4,
      "binary_sha256": "7aaf0c5d69d31f14f665826f2f509494e62cdd8346b35de6e5f80ec1cf2305b4",
      "export_sha256": "ec8ae99fd87f677381fb56a114dddadb3e56b038332d5f47c124eb5944f5eef6",
      "exit_code": 0,
      "wall_seconds": 15.651697619992774,
      "cpu_seconds": 49.359784000000005,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--threads",
        "4",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--density-guard-bits",
        "256",
        "--omega",
        "1.6",
        "--six-cutoff",
        "1040",
        "--replicates",
        "4",
        "--samples",
        "16",
        "--seed",
        "7331",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "16",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "4",
        "Six-spinon seed": "7331",
        "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"
      },
      "status": "finite_domain_estimate",
      "estimate": {
        "omega": "1.6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002",
        "s6": "0.102791012405204130511840473815516841101132831270820704022873548097093065054847408938604977815399502551747082024068375160103818257047664802252584627360200372708084893221639623365110262152057513322916308100433484658217251737651570957828668059533123283874639065857203046470615238319266491453528210080499466617550411192694666972857729235452917919480943447265405299294809700167634630895982418705759440095118190391660045003416603636306491668796857021332421539235860068500",
        "sampling_se": "0.0847108265163166211186936453444553052952446256031477263201015225024831515953561812139422076593282227814998078418285302669951672478230775422987494276587125227752076573484911399348300861634098076913855321345346355441126812557667671518010355956923320084537883073371395515170292557150536422894777350283775475408296315735918830654043511380054870230046056449819859921185223005194793691078166907757217781900681063783381763494287871628300089561276376366215770376730815072193380848736570488736743518564319680835504432277417479649366517151418298180",
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        "arithmetic_diagnostic": "2.7784544329285116999334623755634211404014271111717066196403498526896731474088989493744570583022320731125061152321719374117380534212877274407534233440101846629785770904187259745889015843298368521074694053157232223399720831644440916326019832876430355177101175956206599020547121887225404356473200301788831371325240632703860101042141707757391719869356517694847458899395221885678586186281940471559398000095817503485448326452592366897936105368691545039202642916192245803e-52",
        "supported_roots": 6,
        "density_attempts": 12,
        "status": "estimated"
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    {
      "id": "pilot-16-edge-controls/edge-w2p18",
      "requested_frequency": "2.18",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "ryzen",
      "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
      "workers": 4,
      "binary_sha256": "7aaf0c5d69d31f14f665826f2f509494e62cdd8346b35de6e5f80ec1cf2305b4",
      "export_sha256": "889eaa5a4c08c7d7b40153448770b83796ef0e74f6280c3344a88242439c923c",
      "exit_code": 0,
      "wall_seconds": 76.24752439398435,
      "cpu_seconds": 230.87257499999998,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--threads",
        "4",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--density-guard-bits",
        "256",
        "--omega",
        "2.18",
        "--six-cutoff",
        "1040",
        "--replicates",
        "4",
        "--samples",
        "16",
        "--seed",
        "7332",
        "--json",
        "OUTPUT.json"
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      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "16",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "4",
        "Six-spinon seed": "7332",
        "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"
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      "estimate": {
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        "density_attempts": 84,
        "status": "estimated"
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      "id": "pilot-16-edge-controls/edge-w2p215",
      "requested_frequency": "2.215",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
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      "host": "ryzen",
      "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
      "workers": 4,
      "binary_sha256": "7aaf0c5d69d31f14f665826f2f509494e62cdd8346b35de6e5f80ec1cf2305b4",
      "export_sha256": "2b31f845c9f9cb6893150de07763893fd20f84f5787db7d6412e33ed986b5edb",
      "exit_code": 0,
      "wall_seconds": 76.38542644801782,
      "cpu_seconds": 224.98107,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--threads",
        "4",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--density-guard-bits",
        "256",
        "--omega",
        "2.215",
        "--six-cutoff",
        "1040",
        "--replicates",
        "4",
        "--samples",
        "16",
        "--seed",
        "7333",
        "--json",
        "OUTPUT.json"
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      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "16",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "4",
        "Six-spinon seed": "7333",
        "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"
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        "status": "estimated"
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      "id": "pilot-16-edge-controls/edge-w2p23",
      "requested_frequency": "2.23",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
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      "binary_sha256": "7aaf0c5d69d31f14f665826f2f509494e62cdd8346b35de6e5f80ec1cf2305b4",
      "export_sha256": "90df2be7a8851e962b5748378af44bf609fe0d1043abfabc31f2f0282263ea96",
      "exit_code": 0,
      "wall_seconds": 26.07093634500052,
      "cpu_seconds": 83.44489599999994,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--threads",
        "4",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--density-guard-bits",
        "256",
        "--omega",
        "2.23",
        "--six-cutoff",
        "1040",
        "--replicates",
        "4",
        "--samples",
        "16",
        "--seed",
        "7334",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "16",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "4",
        "Six-spinon seed": "7334",
        "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"
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      "estimate": {
        "omega": "2.2299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995",
        "s6": "0.00060927894998502305304383145666799060674280892286749667098689102265056679285170443598984563214243535201524869769484895537269188266797574435799036888436540729871774471351754221962658885434774124039978608463909231185636135323321930137132363652523236364173111202005593303330663467989058542915825330214622349939895714221324117657965103093896359053666232863000117310724075673251355788748177895975524514975479001914356479888428140755234477017929217767299542575098394697355171325",
        "sampling_se": "0.000377314188713458451288729037670808316483703751594106442662782785952289454363909092711631287106451489638942813565802271772491293818219207562094489098096028812190669032664034651229676233032327656346565231160736608012857387609938219308607796997870376547611216651386130097644896842908983418669929204714520078574875119742823975642817673515952992270789918089440186741410698773204578869584392508386391305837602695857413966816915323201590432888541603397571549162372397345250992251030900891509069503129109583453521490523362026835919272530997289706",
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        "contour_diagnostic": "2.4319046172311056603188481767422095449587351589569228613347670481549054638115156725911756266485293655482747787898391506093335383674945631964955772011560853432066992669866807789166415476518269054794464366829681191609362145671233736943962878861538408282077519133212318026063589665971054217980788469214945150633824223544603303403557481800610708033727241044570404190560034706663301049580650640337177711576214482006077135697740258793855457940190877642831630923372544519e-86",
        "arithmetic_diagnostic": "2.1299722448965441826808766419343527022624091739546588189886136773684929167666190121043247703002406287644270518762893076511005516269840572825769615949912084541662591879582527918871948406490660973018998120262159192565930932303649402818395159652800641114366300751428581001454232847087574225537438456223769538577519555443873161519290352450784992070548248607478313786337562476364711321428518913228936032656701334516407014773859909779596142588989373161217269556406362187e-54",
        "supported_roots": 12,
        "density_attempts": 24,
        "status": "estimated"
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    },
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      "id": "pilot-16-edge-controls/above-R1040-256",
      "requested_frequency": "2.3",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "ryzen",
      "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
      "workers": 4,
      "binary_sha256": "7aaf0c5d69d31f14f665826f2f509494e62cdd8346b35de6e5f80ec1cf2305b4",
      "export_sha256": "b6e07098b68c190ebc52abf4297e1de8348edbe0b79c4ae3822af030586fb42a",
      "exit_code": 0,
      "wall_seconds": 57.16537870999309,
      "cpu_seconds": 184.199928,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--threads",
        "4",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--density-guard-bits",
        "256",
        "--omega",
        "2.3",
        "--six-cutoff",
        "1040",
        "--replicates",
        "4",
        "--samples",
        "16",
        "--seed",
        "7335",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "16",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "4",
        "Six-spinon seed": "7335",
        "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"
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      "estimate": {
        "omega": "2.2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997",
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        "contour_diagnostic": "1.4072335089393605265050483885262118763286287030585488940670101168284595992314719869460015366315225668139102793768513576901481043075926249494434624314512539972035621778523858191688639479282708489307288147573108052732982768570967493961558598528938644322993617397177350606644164685287611982413372166193152463160678422215972228169177234266739132613942003760855758284130544151273214096396002979108770025881928561512478342981159425361873563780420348195965703460626599911e-83",
        "arithmetic_diagnostic": "2.0613581916633965728240187435921987999555908342299450251451802781039223216759892426655916082323359999126636499597231755563984204703776376301785248735420137198969055761889106087814827087822734099542398535344442765030459431294087843325193316820587186014332210377142580342555222178410942617901379618398362360566392564153083366182748090521875878057309728559523101572974377666934278857051122437593810197351440140149719880121029580982352007895456246276277827797228241213e-53",
        "supported_roots": 32,
        "density_attempts": 64,
        "status": "estimated"
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      "id": "pilot-16-edge-controls/above-R512-256",
      "requested_frequency": "2.3",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "ryzen",
      "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
      "workers": 4,
      "binary_sha256": "7aaf0c5d69d31f14f665826f2f509494e62cdd8346b35de6e5f80ec1cf2305b4",
      "export_sha256": "f38171af01b105cfeffa7e1ba880637bbec03ec7fdae2045dbbe6abc1b016f5f",
      "exit_code": 0,
      "wall_seconds": 57.98331675800728,
      "cpu_seconds": 175.223,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--threads",
        "4",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--density-guard-bits",
        "256",
        "--omega",
        "2.3",
        "--six-cutoff",
        "512",
        "--replicates",
        "4",
        "--samples",
        "16",
        "--seed",
        "7335",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "192",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "256",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "16",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "512",
        "Six-spinon background weight": "0.5",
        "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 replicates": "4",
        "Six-spinon seed": "7335",
        "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"
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      "status": "finite_domain_estimate",
      "estimate": {
        "omega": "2.2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997",
        "s6": "0.010295578022696793162081106713658320300262732153263450066307931152239691336142923744406761491255979208045138973296851113419765805385518870330354908611639075266844027871506879974698054644674151717262557563795730366229875814033857208556074332831452912511675258034068398270855360292689568478799999082385215483321068145798937992869765246435041118362234532835818410184030176802747750018693743794332188828160229808201357757331108076119549494839317678252049551910686572417268825",
        "sampling_se": "0.00652109645774747048289329151370327166540142076186183143767578278824403781757380776440430359289741871808040260305434381222267795510661213066456721957494029098931260875782180275275602153451128664047134801631783703793542804946580980701423259641649823529146148216827225541217044954704918450644410282983129136509548012594309301324881454792250535546113924866769415935667453591045954551433888211202732450700800780215944742629607684153314911763011736707156853161765143998334353045744943176043930313073044616266953418163987188695512000341863588874",
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        "arithmetic_diagnostic": "1.981526727265944729311819711246477097396989513336606859122265214156488932724754699682169829298656594194217088824002345996619757822354771100142603795456464175649085887177962895176823673908932546365620669849278749592888265254283875054601533370707804071717622633644058999232131975228996998944769023716003728774803592112100724933993218189604647581379252555701192490338286677298162028968500695067832681634812988738480006869313481107837583884591482498632115533584158977e-53",
        "supported_roots": 30,
        "density_attempts": 60,
        "status": "estimated"
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      "id": "pilot-16-edge-controls/above-R1040-384",
      "requested_frequency": "2.3",
      "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
      "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
      "host": "ryzen",
      "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
      "workers": 4,
      "binary_sha256": "7aaf0c5d69d31f14f665826f2f509494e62cdd8346b35de6e5f80ec1cf2305b4",
      "export_sha256": "1aa20108335962fc446de5dbb7cf06fe1cb9e89aa89bef01752c5369e1d11283",
      "exit_code": 0,
      "wall_seconds": 65.28207649599062,
      "cpu_seconds": 208.68030300000004,
      "command": [
        "bethe-xxx-structure-factor-thermo",
        "--sectors",
        "6",
        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--threads",
        "4",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
        "--replicate-output",
        "--quiet",
        "--density-guard-bits",
        "384",
        "--omega",
        "2.3",
        "--six-cutoff",
        "1040",
        "--replicates",
        "4",
        "--samples",
        "16",
        "--seed",
        "7335",
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        "OUTPUT.json"
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        "Density absolute tolerance": "0",
        "Density comparison bits": "320",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "384",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
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        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "16",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "4",
        "Six-spinon seed": "7335",
        "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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        "Six-spinon two-pair weight": "0.25",
        "Six-spinon uniform grid bits": "52"
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        "arithmetic_diagnostic": "6.0578520041668285405633246128293455822994944325621179156973566450245562953373121847113212487626077289194657204249944907184391005637533785685284534043020400784638143550340414006272461168146069162450615265574009538324924167557480634622469001249496941600514967749500183067676272106133210221819699165436765573510113882099568483164368982076148429378653162948392701494052795145359154887614651244597354107767421101611278453583007998341701777128753765092970999283262516637e-92",
        "supported_roots": 32,
        "density_attempts": 64,
        "status": "estimated"
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      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
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      "export_sha256": "1623c6ad511cc400a13b0c7ad0f22ef81ba057e7117d25c4261953d96e8a0c52",
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      "wall_seconds": 277.5448006480001,
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      "command": [
        "bethe-xxx-structure-factor-thermo",
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        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "320",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
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        "--quiet",
        "--omega",
        "3",
        "--six-cutoff",
        "1040",
        "--replicates",
        "16",
        "--samples",
        "64",
        "--seed",
        "7313",
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        "OUTPUT.json"
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      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "256",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "320",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "64",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7313",
        "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"
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        "status": "estimated"
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      "host": "polaron",
      "cpu": "Intel(R) Xeon(R) Gold 6254 CPU @ 3.10GHz",
      "workers": 16,
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      "export_sha256": "c0b5e6107339edcc0f2dde3197cc35424f2d90f345e27298f87013b68588d5c9",
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      "wall_seconds": 368.21216269000433,
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      "command": [
        "bethe-xxx-structure-factor-thermo",
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        "--momentum",
        "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
        "--exchange",
        "1",
        "--channel",
        "zz",
        "--precision",
        "bits-1536",
        "--density-guard-bits",
        "320",
        "--threads",
        "16",
        "--density-relative-tolerance",
        "1e-6",
        "--density-absolute-tolerance",
        "0",
        "--density-terms",
        "1560",
        "--density-tail-order",
        "48",
        "--density-seconds",
        "60",
        "--diagnostics",
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        "4",
        "--six-cutoff",
        "1040",
        "--replicates",
        "16",
        "--samples",
        "64",
        "--seed",
        "7314",
        "--json",
        "OUTPUT.json"
      ],
      "controls": {
        "Channel": "zz",
        "Density absolute tolerance": "0",
        "Density comparison bits": "256",
        "Density convention": "S(q,w); moments use dw/(2*pi); raising=2*zz",
        "Density guard bits": "320",
        "Density relative tolerance": "1e-6",
        "Exchange J": "1",
        "First density residue budget": "1560",
        "First density tail order": "48",
        "Geometry and output bits": "1536",
        "Recovery seconds per configuration": "60",
        "Samples per replicate": "64",
        "Second density residue budget": "1576",
        "Second density tail order": "52",
        "Six-spinon absolute rapidity cutoff": "1040",
        "Six-spinon background weight": "0.5",
        "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 replicates": "16",
        "Six-spinon seed": "7314",
        "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"
      },
      "status": "finite_domain_estimate",
      "estimate": {
        "omega": "4",
        "s6": "0.00005337147742133038940646244812559697082634237208662221073190323992734487942664767553349642316729093048143368516496904741832659277139470303407847679351365596330653342688200665436882265513512442182145610128900543274056279932090969229620522357237343092161125476338624797162702698274626204055740303284095965693831293527591466932765757020652073009381517123668002377468731393282084252737210937424633321582034473898406901180388562903259834850620698461701631616903383174619153125",
        "sampling_se": "0.0000150047114983737130644549380446551265140492801488532486512614876677342175407511361728839761961225280521535218965219818948812900706275807503904616707358215106582625247419434281811914817636125888256301844635192488068905874219333561917299170352701662355844562423056307129721611287193697918553006781150482085082400776538782882896018686004418475010875430871033029986930448488749361000763345264751532731022597034981780076281254403464428083844542385312251081269042323877380148831591932003970187871592268049485452903695956626126253418777783590478",
        "sampling_se_reconstruction_allowance": "2.30291718192506089515632222697482196852421030474381308175698309102114064213453031481514962241280066640244281120114784897600963281078382331801969908820241213928221012867712851304753420279253562495130224870061334171004619574564964064289210502106524243829619347496555291423157824497750192224422007811436798248721490402947928841825668696261463210967313951088235172603608002727445965264469102685771823085946450311117604167381738838800163216626805189371595061744563229518195285732515700017480408173151811501028108624119556475498473566306526249E-464",
        "relative_sampling_se": "0.281137270754602449933102300011738513692234337976615521677540993209074219323639548133188911145215854462844500759492331346206720988181959099350564531177783514488540212914801491477607927966619608039048083554150107331943862481571381685612655307957859769592092658819636703185627402955697600743661198861951968814777716201521867839301028105519563781967906715083231999941618470835618648554916698766681277902784641423362907575040913796003863216910666874615465165340936179303270352037432543013477079587975895115386162787997370872698886584306875031",
        "largest_draw_fraction": "0.180356843189902747643895048204346654915898411613707107477375284654023277806508802125516452073045825695332712379872678394775574112774263671716894421257426946888626406442414794432471192432779556508210569477584427663830090076854356681952256123726685403251705553152648825115024104292633340153949669822738234785996046653378193181463845879619383127185375270859975366304477013512001555455055375150052621632278110200675553327826361665685116263540055453633266675533039825248187302951774838597045633722357627531542407662307962296246538021049553726",
        "largest_replicate_fraction": "0.253911567696968666457587069648396289934451217596775864142904317883805168105130819621122304800675473241845088934485900687934415277056890586873233575421935910005651203889265212806503058585792699029143704040451941970026631118415174058171531438201576592273633289729719211611378593225670992996651085940523035936867074089104605341662103143144628931528050374251024220067615932347767958254688393277482361646548117729285908889128421248258163994753530739925718830270786712826783587861759467636631936989192251565171597979928537993898145174954947571",
        "contour_diagnostic": "1.8977090940790942692050070619426022041067695250022477853638769140543692243257379547449197901758798158393763877966622599246262586087701312572578170483477144393808455769177384442851847693178131525304137801124202641800946760357275276381372434635597119169660239825684075351767866640856763445610001062690521033321192326307607111527021145310011188453190660567230066805270615075765788746972181689781903802222052968959858300661423185682564930392362721155669036420523762144e-84",
        "arithmetic_diagnostic": "6.402468987956383442416606491330696048782340871861817378127364563636158358334861932460310128047012634725816966155323257518233591544353542272441214132108999978305187720192365978512142676696317095551582954941693920331941020292745955122152881035683554596876238929717221563702252337504860362416427314648189684202410580925768440244520440632013299403353563458780117601489610498946761710820242979708274315618584964686558052972951911186436886108249296466657626741111295508e-73",
        "supported_roots": 432,
        "density_attempts": 864,
        "status": "estimated"
      }
    }
  ],
  "paired_cutoff_checks": [
    {
      "lower_cutoff": "512",
      "upper_cutoff": "1040",
      "points": [
        {
          "omega": "2",
          "change": "0.0000912552701303446720985371239920946674285387546187310970181989382264728033171455787522346953586694146319242713917446885817007622747058345504320784515006288378685878878289088185851459393291561746515206631635144632775965284119414269250241909949645138446127844214143562155327807712438336490086179122204922303907220661701798787522902125822691083284423789810875087616015054072894501281044212744728173068539078415568194308477203928441761782446377134687752734032105447250625",
          "paired_sampling_se": "0.0001848160186222934904080193801851779426785104125772310186561678587666759520998282066329373484931371186109210161542648270968749147587544800464664230820046047218376544455712750535575602346934705136311367209606884428437244942834343528495851894985258259033269611684855302186731536313439387517117870012479662662217237468594994272175826863838043028511604115431868135917573379247356941468357944722706896010990841032349182702645405130440925288656167720130222612442161811787637120128019308686382333943639539713889167528617851339219986005666867490634979896901402049600706090",
          "covariance_of_means": "0.00004114826972495516680970181590058919625124378640072667088737584501554214287034808635803657396187890904167115497297927511886616637796999968394622781394253290232105487861605620838771833701772633443917980791098332881364826486048157685837746557158670391257603642744219477983446025335058402446468729616990960076027443848712665462224532236821081798337390491923273613188575501179695037265925941761161408641777886960643515924631728533040126001678628910802238293693646122505641660127186526381064364604346849523915341946189228815644191304730742166390715403626416198445857499",
          "replicate_correlation": "0.9996843222849175476262819407113041130731850816634258575787834689610761054675365390616868732373061170843205910309413610181854353617670865311213801806307194331990752162377329453261521271194690913092705216621274131448993311222460575075567424033069058046907623198599708324818619696819030067064841042722944756038002018188546421371627564176438441559803605594101708842919658237776405062347067187152512320130169738635234437219783403958619058565621833324328038357918077694232920772426817864371238615579025015083928050149376975613714053830937876218520639243681272685777960",
          "fraction_of_upper_estimate": "0.001739379200948651722225559299149919617881704193582666886497470849053606182676169303106214099090269446496598336657902923656135444585635447192893284358058255164120645894212503122570381593213691767363419743848705062188395546434329829091814642521584907452449469741542525593802720219134735468792386834809172350892812268600672634433620509951696294196755142057011632579680436073806407050236894041506454891284213037020591615462000669746031148093925182710038476660064932638349278775191008815064125274186421897952709005740345825122140924945741948622959358648976195431114403"
        }
      ],
      "scope": "Paired finite-domain difference; neither an extrapolation nor a bound on the omitted tail",
      "lower_query": "pilot-14-cutoff-and-anchors-polaron/R512-recovered",
      "upper_query": "pilot-14-cutoff-and-anchors-polaron/R1040-recovered"
    },
    {
      "lower_cutoff": "512",
      "upper_cutoff": "1040",
      "points": [
        {
          "omega": "2.2999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997",
          "change": "0.0001610121831339750216795195369788625909110950087013909033243195109038102437282911378928525603450132459164106969666171529001394549401891483590118257468742079202093065963534059715197298666388364098951312765965351869185779604015583875829916105032434174785737709449847020296111776871295104235009350849577604974947804637280944393792795254133800539677255970330899855927733103709848535983840877849811974740646245248705075660003544919781857450317134712891396089362621290745141",
          "paired_sampling_se": "0.0001255695080249265194283156849243677675219486680416678443235939122132494434482596090442038974260014606135331468217164439911220997188196250817031207480948163485927910115684995079821285656550715626618673238743102371102459548054113961591384539069043419357030368047008797724547329864764215384088451734003102435792708889009380603964742883061985985521592475264457446711415509052360424901058890490919262804704155488673523264192393860921739198952124748107639614913967343483746257990638892443736709828404784423793481418723719463333082976302395460309422290887441977488211560",
          "covariance_of_means": "0.00004284539014384579991510740583556056493797036211224596154185360630587221550613830460087569682253027363953469652541891952373788363139945663967762431711627283308119212110058802093131483896064303629187234084634568663990040288163043104395479832298718118058560666242792362334929597350621058920305861088354768994688003222575492998166772088143328911940244949453831253881336011730218790069910470850763248379230504074036237377797069915074451763110172148516528330689122913614602636762665819130243535050731771981826510565299353804642512360795163132945524183250755661000567637",
          "replicate_correlation": "0.9998454175961562872628958247525403365204299878299408913869311826224653472149771750914972036937038301413462889986184571785893661959753826383450315808540221604159808862095774355187632517895577753031248395306876930336692435303197807902347336259767183511277833163848328416790096449080852113907312870218330649849811306070244434413842067910726972076595101038809534215022663793080161057070105707032616525586794870225064790306198013217108234293063196342580034371149094489217128255269477576718082913176157464338977329107853764097073210902252916013115695128097679200143338",
          "fraction_of_upper_estimate": "0.01539815369681332228315539696741419502690363033037936158977321806573111422170670734780538846917305813436523297856686594739972242841087307990705016957809814666410278220910172059491327886550958328192538265233402131325907690294163883264524202529540227063880807827807560703874582967269461632907982636154222949759078613478362770292807205108512118546594274880310757575494808279123148336010477429643298114033608219249006638650572840560133704715895393591185358648965911267343234026005572380038086260577072557550084714268796619493769666060939938963975226793841111182504600"
        }
      ],
      "scope": "Paired finite-domain difference; neither an extrapolation nor a bound on the omitted tail",
      "lower_query": "pilot-16-edge-controls/above-R512-256",
      "upper_query": "pilot-16-edge-controls/above-R1040-256"
    }
  ],
  "above_edge_precision_check": {
    "mean_relative_change": "9.703894834143298268681805233275958527806032343667138775412094138280435670378632755858818581921066565289047251024995882711744013573455681115866446419062327640826648485015026135711878759399551305635765360153914114047444189927321068239820908627571999195717879049680381793178099066334978401315700166774857068629102348311844716794722678531778167675641953856172859276467781765035484586707431481836513192931254595508294619357113246682699161437614226932032480377049014893907488596571604892733300082367647504858786257723445118616E-75",
    "replicate_mean_and_maximum_relative_change": "1.318775438527337474957895673997702849239104583754603233816852726611427394830228788895175603487600149218111844398023976175553307231589083292067793866367042327735370851320941695597785594385000879820129228359672033289549730138908140515317360702156531712371261518201790767690348290349603889973516471650427148683118332390287141261393904291400813049851282575383672432020984394457264476123599985516896399396514564703522052664790814106080974484172643845191229159647595195004667300073834815499299260578822894614316878694370860485E-74",
    "scope": "Identical64-drawR1040above-edgequery, not sampling or domain convergence"
  },
  "contour_failure_replay": {
    "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
    "geometry_bits": 1536,
    "cutoff": "1040",
    "seed": 7310,
    "uniform_bits": 52,
    "scope": "Six labelled roots of three exact failed observations; no spectrum estimate",
    "cases": {
      "guard256-terms1040-tail32": {
        "raw_sha256": "957f3805cb9b397f1a705a4eab0c17e074a622b78db9c2a91b027012487c297d",
        "statuses": [
          1,
          1,
          1,
          1,
          1,
          1
        ],
        "cpu_seconds": 16.325025
      },
      "guard256-terms1040-tail48": {
        "raw_sha256": "bc2ae59b977df9e4b480adade6b29a6bc871f2f4e50a0f43ee2257c93b9bf981",
        "statuses": [
          0,
          0,
          1,
          1,
          0,
          0
        ],
        "cpu_seconds": 25.497293999999997
      },
      "guard384-terms1040-tail56": {
        "raw_sha256": "1e8e8605c60d9791fb9f6f43ee0323020882992a7c66f9e692ea9f46cc2c2d8e",
        "statuses": [
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "cpu_seconds": 37.091658
      },
      "guard256-terms1560-tail48": {
        "raw_sha256": "2c996a14837efd9cc9e527c497319dbebdb3557cd36125866f671ef7f43f3bb3",
        "statuses": [
          0,
          0,
          0,
          0,
          0,
          0
        ],
        "cpu_seconds": 30.190989000000002
      }
    },
    "maximum_relative_difference_between_successful_refinements": "4.946803917629936316925821234830012350536227841865723925218744541821757394961011669622970205081765753E-61",
    "chosen_controls": {
      "comparison_bits": 192,
      "guard_bits": 256,
      "residues": [
        1560,
        1576
      ],
      "tail_orders": [
        48,
        52
      ]
    },
    "decision": "Repeat complete finite-domain streams at common stronger controls; retain failures, do not average surviving observations.",
    "precision_only_control": {
      "raw_sha256": "8858e24a36365bc532058f3756ad2ebc84abde30304af59188067df412f7e57c",
      "guard_bits": 384,
      "residues": [
        1040,
        1056
      ],
      "tail_orders": [
        32,
        36
      ],
      "statuses": [
        1,
        1,
        1,
        1,
        1,
        1
      ],
      "cpu_seconds": 19.040011,
      "conclusion": "All three original failures remain; arithmetic indicators shrink, but the original contour controls are still insufficient."
    }
  },
  "arithmetic_failure_replay": {
    "scope": "Exact failed observation replay atomega3,R1040,seed7313,replicate1,sample3; both labelled roots. Not a complete spectrum estimate.",
    "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
    "geometry_bits": 1536,
    "controls": {
      "relative_tolerance": "1e-6",
      "absolute_tolerance": "0",
      "terms": [
        1560,
        1576
      ],
      "tail_orders": [
        48,
        52
      ]
    },
    "cases": [
      {
        "guard_bits": 256,
        "comparison_bits": 192,
        "statuses": [
          1,
          1
        ],
        "cpu_seconds": 10.374478000000002,
        "raw_sha256": "dca731201f5ac300f4e7052f2822d1b73b86b29a07ae6253424c7cb6c54fdddd"
      },
      {
        "guard_bits": 320,
        "comparison_bits": 256,
        "statuses": [
          0,
          0
        ],
        "cpu_seconds": 10.943543,
        "raw_sha256": "75716011cf05a5b765fc3a1f3a9398c9a01eeb222443103605c4c53c93a17104"
      },
      {
        "guard_bits": 384,
        "comparison_bits": 320,
        "statuses": [
          0,
          0
        ],
        "cpu_seconds": 11.629827,
        "raw_sha256": "1b655b191b4a2701cf18e6539e97b2effa1d55e317a77115e8d995973bfc12fc"
      }
    ],
    "max_relative_checked_density_change_320_to384": "1.2435930508238994933522160113297195284691632691579622564571179057725449859030059558277186279873993109267146396671920720014809721368983483178540526772832855026628617040845456426930626846509701563198458861918784648365655229421746501770795246883907512457782817456784453327526224019735604602929080040541388401693374768321346976272663761845009844460014752797522877753943140997864589896842452447927303208969891037925254948979594857807129432375003873826462535136469882383643930277833451466031816219636285447E-91",
    "conclusion": "First192/256control fails arithmetic (2.73e-6 vs1e-6 target), while its contour diagnostic4.10e-10 passes. Both stronger pairs pass with unchangedcontours; choose256/320 for complete-query replay."
  },
  "selected_controls": {
    "geometry_bits": 1536,
    "comparison_bits": 256,
    "guard_bits": 320,
    "relative_tolerance": "1e-6",
    "absolute_tolerance": "0",
    "residue_budgets": [
      1560,
      1576
    ],
    "tail_orders": [
      48,
      52
    ],
    "rapidity_cutoff": "1040",
    "scope": "Validated at these bounded queries; a larger stream still requires every observation to pass. No sampling, quadrature or tail error is inferred from passing density screens."
  }
}
