{
  "chemistry": {
    "element": [
      2,
      1,
      1,
      2,
      1,
      3,
      2,
      1,
      2
    ],
    "boltzmann_weights": [
      "1",
      "1",
      "1",
      "2",
      "1/8",
      "1",
      "1/6",
      "1/27",
      "1"
    ],
    "energy_matrices": {
      "L": [
        [
          "1115801/1000000",
          "-153427/250000",
          "2346047/1000000",
          "688977/200000"
        ],
        [
          "-153427/250000",
          "1111499/1000000",
          "-2339313/1000000",
          "-214649/62500"
        ],
        [
          "2346047/1000000",
          "-2339313/1000000",
          "6767757/1000000",
          "5089403/500000"
        ],
        [
          "688977/200000",
          "-214649/62500",
          "5089403/500000",
          "15517433/1000000"
        ]
      ],
      "H": [
        [
          "211521/250000",
          "-115949/100000",
          "2352853/1000000",
          "1755029/500000"
        ],
        [
          "-115949/100000",
          "1083497/250000",
          "-6781643/1000000",
          "-2558257/250000"
        ],
        [
          "2352853/1000000",
          "-6781643/1000000",
          "11398763/1000000",
          "4305569/250000"
        ],
        [
          "1755029/500000",
          "-2558257/250000",
          "4305569/250000",
          "26082111/1000000"
        ]
      ]
    },
    "stationary_curve_identity": true,
    "scope": "Exact chemical, source projection and energy-matrix checks. The local stochastic exponential-generator inequality is imported from the paper."
  },
  "founders": {
    "L": {
      "cell": {
        "tag": "L",
        "size": 65536000000000000000000,
        "counts": [
          850030668882771845555193,
          1312560204012657976381638,
          65260356391870943597372,
          587039371303762143447746
        ]
      },
      "energy": [
        "403093982874474575692689093489850787097543726238910915535498819937310215546420004586233221910149980989009428527744455535764609636496593231704894172767198071069153063732466095610353313281350200216951901214629928562155014471544287640549492817041099530519478071213570476657013045627216210108692838866597922974548867790369343525471418856920716230298984231914582853572679588589649938434367232985405651941689111785301687160121/86689407796897284504854476287407685163574515286448136303191196344084693031310103696905781804521848345559434820482143598916178275217789498560011295188632047483964043485179139625795299370133958774464295697183145282231690256493085685550142713767842310230439818286307851302165098988278225599363698537097942352378733991309317341469345426137757314057587557595266452219445910765195095900030396618906478729993223658903961600000000000000000000000000000000000000000000000000",
        "2799263769961628997865896482568471845924332308524365292270040096528357478826639168401927834551155970735798052925263677162149931358088561874026168521335055646107278903515207715358732514520795110881568466305975333226139459988365931871618658210481924427972667349772930910950028122072824971741483979708453088766861951966563881641015901170702982935632461848519002071038615558466693777668236367527287783449672724335920959089/602009776367342253505933863106997813635934133933667613216605530167254812717431275672956818086957280177496075142237108325806793577901315962222300661032166996416416968647077358512467356737041380378224275674882953348831182336757539482987102178943349376600276515877137856265035409640821011106692350952069044113741208272981370426870454348178870236511024705522683695968374380313854832639099976520183880069397386520166400000000000000000000000000000000000000000000000000"
      ],
      "readout": "L",
      "multiplicity": 2000000000
    },
    "H": {
      "cell": {
        "tag": "H",
        "size": 65536000000000000000000,
        "counts": [
          1372241807706821570311113,
          790166763702817031732000,
          195059203687175887287218,
          2140934407225824665437528
        ]
      },
      "energy": [
        "4071335403650226750550050235243542898501019679772329944173592707995393145826787672631392119470174951732443854185217628613380883877065954445935813763373832696595474071191082914313496368229879167114041261554329679278588129843233185106981864278081969524813893808599014804376843378215614953602327119729179755445812597605497636099994531836317538985639722957363252558629922550077841007457319336970580688733436892201477303/2708975533388842579364385091115220247325898004825225863281780267183071666338340805774100987252805310835129222427561281504636181247863792958624134529997727580735867550859884430024769022906234193280095304192970361323165403794177450421595908255927686204379550091278123146927255738336503076069438441055561521152480377138365582052285378175476558946509558614519943117250878972956125773563973524012540584440682984243200000000000000000000000000000000000000000000000000",
        "3061644223544970516413637776903366768134958692480848875773895252152318689028821611178342250498873436738823984668409621433646600532449473412305272148925223800446318024177160781881842996352165520029879674270795864595158820687021496903729462338971562522032300092484262423024902381104713491177962989308553837429485335866342950850078957889773522357349733271712389557371203534990930149496860857463966977541293314527546279641/2037149601108409619682017588518645625989075299628569849187898760921669893086432285942123942414109593748017175265526083691486408298393572304885349166558291140713372398246633091378626305225488113346631668753113711715020383653221442717040123008457620025693421668641148606489296315229050313204217707673782263906665243608050917703318604387958372327775188078118997224172660987663006581720108090057430519499393604150886400000000000000000000000000000000000000000000000000"
      ],
      "readout": "H",
      "multiplicity": 2000000000
    }
  },
  "configured": {
    "N": 65536000000000000000000,
    "M": 4000000000,
    "u": "128",
    "success_lower_ordinary": "0.993959999999999997433902575122",
    "success_lower_certified": "0.993959999",
    "error_interval": "[0.006040000000000002566097424877820564761739254997550161864406681747166757849892947666793, 0.006040000000000002566097424877820564761739254997550161864406681747166757849892947856223]",
    "cycle_component_log10": [
      {
        "outer_initial": "-379.525795793985675184984",
        "daughter_initial": "-211.6105867074587353410246",
        "outer_drift": "-394.9335919695518806657399",
        "division_initial": "-45.98763369228827154891702",
        "division_drift": "-61.39542986785447702967287",
        "partition": "-813197793.3929380324356768",
        "deadline": "-11384769266404604710.77775",
        "size_odds": "-1081553080308437447.523887",
        "batch_service": "-3.0",
        "transfer": "-4.397940008672037609572522",
        "recovery_initial": "-45.98763369228827154891702",
        "recovery_return": "-17.89175685481617338403103",
        "recovery_exit": "-435.1154894776019091243285",
        "recovery_exit_drift": "-848.7268621524198705220612",
        "recovery_service": "-3.0"
      },
      {
        "outer_initial": "-379.525795793985675184984",
        "daughter_initial": "-211.6105867074587353410246",
        "outer_drift": "-394.9335919695518806657399",
        "division_initial": "-45.98763369228827154891702",
        "division_drift": "-61.39542986785447702967287",
        "partition": "-813197793.3929380324356768",
        "deadline": "-11384769266404604710.77775",
        "size_odds": "-1081553080308437447.523887",
        "batch_service": "-3.0",
        "transfer": "-2.698970004336018804786261",
        "recovery_initial": "-45.98763369228827154891702",
        "recovery_return": "-17.89175685481617338403103",
        "recovery_exit": "-435.1154894776019091243285",
        "recovery_exit_drift": "-848.7268621524198705220612",
        "recovery_service": "-3.0"
      }
    ],
    "quotas": {
      "qB": 73400320000000000000000000000000000000,
      "qR": 2228224000000000000000000000,
      "JB": 58720256000000000000000000000000000000000000000000001,
      "JR": 47915728896000000000000000000000000000000001
    },
    "fresh_precursor_bound": 3145728000000000000000000000000000,
    "gross_each_reservoir_bound": 500766343168000000000000000000000000000000008000000002,
    "elapsed_model_time": "1600000010752"
  },
  "paper_witnesses": [
    {
      "evaluated": {
        "N": 65536000000000000000000,
        "M": 4000000000,
        "u": "128",
        "success_lower_ordinary": "0.993959999999999997433902575122",
        "success_lower_certified": "0.993959999",
        "error_interval": "[0.006040000000000002566097424877820564761739254997550161864406681747166757849892947666793, 0.006040000000000002566097424877820564761739254997550161864406681747166757849892947856223]",
        "cycle_component_log10": [
          {
            "outer_initial": "-379.525795793985675184984",
            "daughter_initial": "-211.6105867074587353410246",
            "outer_drift": "-394.9335919695518806657399",
            "division_initial": "-45.98763369228827154891702",
            "division_drift": "-61.39542986785447702967287",
            "partition": "-813197793.3929380324356768",
            "deadline": "-11384769266404604710.77775",
            "size_odds": "-1081553080308437447.523887",
            "batch_service": "-3.0",
            "transfer": "-4.397940008672037609572522",
            "recovery_initial": "-45.98763369228827154891702",
            "recovery_return": "-17.89175685481617338403103",
            "recovery_exit": "-435.1154894776019091243285",
            "recovery_exit_drift": "-848.7268621524198705220612",
            "recovery_service": "-3.0"
          },
          {
            "outer_initial": "-379.525795793985675184984",
            "daughter_initial": "-211.6105867074587353410246",
            "outer_drift": "-394.9335919695518806657399",
            "division_initial": "-45.98763369228827154891702",
            "division_drift": "-61.39542986785447702967287",
            "partition": "-813197793.3929380324356768",
            "deadline": "-11384769266404604710.77775",
            "size_odds": "-1081553080308437447.523887",
            "batch_service": "-3.0",
            "transfer": "-2.698970004336018804786261",
            "recovery_initial": "-45.98763369228827154891702",
            "recovery_return": "-17.89175685481617338403103",
            "recovery_exit": "-435.1154894776019091243285",
            "recovery_exit_drift": "-848.7268621524198705220612",
            "recovery_service": "-3.0"
          }
        ],
        "quotas": {
          "qB": 73400320000000000000000000000000000000,
          "qR": 2228224000000000000000000000,
          "JB": 58720256000000000000000000000000000000000000000000001,
          "JR": 47915728896000000000000000000000000000000001
        },
        "fresh_precursor_bound": 3145728000000000000000000000000000,
        "gross_each_reservoir_bound": 500766343168000000000000000000000000000000008000000002,
        "elapsed_model_time": "1600000010752"
      },
      "rational": {
        "nonservice_uniform_bound": "68812814921404161848506823708841619828753/34406400000000000000000000000000000000000000",
        "two_cycle_failure_bound": "137625614921404161848506823708841619828753/17203200000000000000000000000000000000000000",
        "success_lower": "17065574385078595838151493176291158380171247/17203200000000000000000000000000000000000000",
        "scope": "Exact rational envelope uses e>=2, e^-128<=1e-38 and e^-64<=2^-64, with uniform p=1/100 in both cycles."
      }
    },
    {
      "evaluated": {
        "N": 131072000000000000000000,
        "M": 1000000000000000,
        "u": "256",
        "success_lower_ordinary": "0.99599999184",
        "success_lower_certified": "0.995999991",
        "error_interval": "[0.004000008160000000000000000000000000000102888374905613113178869999513627067498168606037, 0.004000008160000000000000000000000000000102888374905613113178869999513627067498168729579]",
        "cycle_component_log10": [
          {
            "outer_initial": "-763.255711570627275150823",
            "daughter_initial": "-428.5714214332516334888301",
            "outer_drift": "-806.1573245923376164060374",
            "division_initial": "-96.179387367232467878689",
            "division_drift": "-139.0810003889428091339034",
            "partition": "-1626395592.738184074533479",
            "deadline": "-22769538532809209421.55551",
            "size_odds": "-2163106160616874895.047773",
            "batch_service": "-3.0",
            "transfer": "-9.795880017344075219145044",
            "recovery_initial": "-96.179387367232467878689",
            "recovery_return": "-40.28866368795225274413076",
            "recovery_exit": "-874.435098937859743029512",
            "recovery_exit_drift": "-1704.668144244135477777115",
            "recovery_service": "-3.0"
          },
          {
            "outer_initial": "-763.255711570627275150823",
            "daughter_initial": "-428.5714214332516334888301",
            "outer_drift": "-806.1573245923376164060374",
            "division_initial": "-96.179387367232467878689",
            "division_drift": "-139.0810003889428091339034",
            "partition": "-1626395592.738184074533479",
            "deadline": "-22769538532809209421.55551",
            "size_odds": "-2163106160616874895.047773",
            "batch_service": "-3.0",
            "transfer": "-8.096910013008056414358783",
            "recovery_initial": "-96.179387367232467878689",
            "recovery_return": "-40.28866368795225274413076",
            "recovery_exit": "-874.435098937859743029512",
            "recovery_exit_drift": "-1704.668144244135477777115",
            "recovery_service": "-3.0"
          }
        ],
        "quotas": {
          "qB": 36700160000000000000000000000000000000000000,
          "qR": 4456448000000000000000000000,
          "JB": 29360128000000000000000000000000000000000000000000000000001,
          "JR": 23957864448000000000000000000000000000000000000001
        },
        "fresh_precursor_bound": 1572864000000000000000000000000000000000,
        "gross_each_reservoir_bound": 47915787616256000000000000000000000000000000000002000000000000002,
        "elapsed_model_time": "1600000010752"
      },
      "rational": {
        "nonservice_uniform_bound": "8502400000043806000000000000021/1050000000000000000000000000000000000000",
        "two_cycle_failure_bound": "2100008502400000043806000000000000021/525000000000000000000000000000000000000",
        "success_lower": "522899991497599999956193999999999999979/525000000000000000000000000000000000000",
        "scope": "Exact rational envelope uses e>=2, e^-128<=1e-38 and e^-64<=2^-64, with uniform p=1/100 in both cycles."
      }
    }
  ],
  "thresholds": {
    "cycle_size_gain": "0.753771282058235209866604177841",
    "one_count_gain": "0.0606241014982899004493720563823",
    "two_count_gain": "0.814395383556525110315976234223",
    "two_high_fraction": "0.69304534217100927195268696032",
    "two_fraction_certified_lower": "0.6930453",
    "two_count_interval": "[0.8143953835565251103159762342228616333826519656148136315426484700014967837267691716702, 0.8143953835565251103159762342228616333826519656148136315426484700014967837267691874835]",
    "two_fraction_interval": "[0.6930453421710092719526869603197202398294331863673482155032129849387709156530837493143, 0.6930453421710092719526869603197202398294331863673482155032129849387709156530837545854]",
    "eligibility_floors": [
      "1/2",
      "49/1600",
      "2401/1280000"
    ],
    "exact_two_gain": "(7/5)log(2)-19/250-2log(51/49)",
    "scope": "Two cycles from balanced ready newborns only. Intermediate division phases telescope; no separate log(2) penalty per cycle."
  },
  "exact_transfer": [
    {
      "endpoint": "equal",
      "epsilon": "1/50",
      "subsets": 70,
      "bad": 34,
      "failure": "17/35",
      "means": {
        "H": "20",
        "L": "20"
      },
      "moments": {
        "H": {
          "mean": "20",
          "variance": "400/7"
        },
        "L": {
          "mean": "20",
          "variance": "400/7"
        }
      }
    },
    {
      "endpoint": "equal",
      "epsilon": "1/2",
      "subsets": 70,
      "bad": 2,
      "failure": "1/35",
      "means": {
        "H": "20",
        "L": "20"
      },
      "moments": {
        "H": {
          "mean": "20",
          "variance": "400/7"
        },
        "L": {
          "mean": "20",
          "variance": "400/7"
        }
      }
    },
    {
      "endpoint": "high_larger",
      "epsilon": "1/50",
      "subsets": 70,
      "bad": 34,
      "failure": "17/35",
      "means": {
        "H": "38",
        "L": "20"
      },
      "moments": {
        "H": {
          "mean": "38",
          "variance": "1444/7"
        },
        "L": {
          "mean": "20",
          "variance": "400/7"
        }
      }
    },
    {
      "endpoint": "high_larger",
      "epsilon": "1/2",
      "subsets": 70,
      "bad": 2,
      "failure": "1/35",
      "means": {
        "H": "38",
        "L": "20"
      },
      "moments": {
        "H": {
          "mean": "38",
          "variance": "1444/7"
        },
        "L": {
          "mean": "20",
          "variance": "400/7"
        }
      }
    },
    {
      "endpoint": "low_larger",
      "epsilon": "1/50",
      "subsets": 70,
      "bad": 34,
      "failure": "17/35",
      "means": {
        "H": "20",
        "L": "38"
      },
      "moments": {
        "H": {
          "mean": "20",
          "variance": "400/7"
        },
        "L": {
          "mean": "38",
          "variance": "1444/7"
        }
      }
    },
    {
      "endpoint": "low_larger",
      "epsilon": "1/2",
      "subsets": 70,
      "bad": 2,
      "failure": "1/35",
      "means": {
        "H": "20",
        "L": "38"
      },
      "moments": {
        "H": {
          "mean": "20",
          "variance": "400/7"
        },
        "L": {
          "mean": "38",
          "variance": "1444/7"
        }
      }
    },
    {
      "endpoint": "mixed",
      "epsilon": "1/50",
      "subsets": 70,
      "bad": 54,
      "failure": "27/35",
      "means": {
        "H": "29",
        "L": "29"
      },
      "moments": {
        "H": {
          "mean": "29",
          "variance": "1003/7"
        },
        "L": {
          "mean": "29",
          "variance": "1003/7"
        }
      }
    },
    {
      "endpoint": "mixed",
      "epsilon": "1/2",
      "subsets": 70,
      "bad": 26,
      "failure": "13/35",
      "means": {
        "H": "29",
        "L": "29"
      },
      "moments": {
        "H": {
          "mean": "29",
          "variance": "1003/7"
        },
        "L": {
          "mean": "29",
          "variance": "1003/7"
        }
      }
    }
  ],
  "selected_recovery": {
    "selected": [
      {
        "tag": "H",
        "size": 65536000000000000000000,
        "counts": [
          1372241807706821570311113,
          790166763702817031732000,
          195060514407175887287218,
          2140934407225824665437528
        ]
      },
      {
        "tag": "H",
        "size": 65536000000000000000000,
        "counts": [
          1372241807706821570311113,
          790166763702817031732000,
          195060514407175887287218,
          2140934407225824665437528
        ]
      },
      {
        "tag": "L",
        "size": 65536000000000000000000,
        "counts": [
          850030668882771845555193,
          1312560204012657976381638,
          65261667111870943597372,
          587039371303762143447746
        ]
      },
      {
        "tag": "L",
        "size": 65536000000000000000000,
        "counts": [
          850030668882771845555193,
          1312560204012657976381638,
          65261667111870943597372,
          587039371303762143447746
        ]
      }
    ],
    "discarded": [
      {
        "tag": "H",
        "size": 65536000000000000000000,
        "counts": [
          1372241807706821570311113,
          790166763702817031732000,
          195060514407175887287218,
          2140934407225824665437528
        ]
      },
      {
        "tag": "H",
        "size": 65536000000000000000000,
        "counts": [
          1372241807706821570311113,
          790166763702817031732000,
          195060514407175887287218,
          2140934407225824665437528
        ]
      },
      {
        "tag": "L",
        "size": 65536000000000000000000,
        "counts": [
          850030668882771845555193,
          1312560204012657976381638,
          65261667111870943597372,
          587039371303762143447746
        ]
      },
      {
        "tag": "L",
        "size": 65536000000000000000000,
        "counts": [
          850030668882771845555193,
          1312560204012657976381638,
          65261667111870943597372,
          587039371303762143447746
        ]
      }
    ],
    "selected_energy_enclosures": [
      [
        "12351588031159201348673656511430008132426493576891922016218570731452265058522318679738966845935377278490003716196341521430077046260529869367136908290233381077191520045537966024492860317109725376993432007465936805720626018882595098993946692641844866090747614059009579490467793883066823240049562185950711608728169786799786196665416646609575670057705720836790567073327197634077089242994466624202158433023410469790781445870238164977607152849940391444997303/2708975533388842579364385091115220247325898004825225863281780267183071666338340805774100987252805310835129222427561281504636181247863792958624134529997727580735867550859884430024769022906234193280095304192970361323165403794177450421595908255927686204379550091278123146927255738336503076069438441055561521152480377138365582052285378175476558946509558614519943117250878972956125773563973524012540584440682984243200000000000000000000000000000000000000000000000000",
        "9288394199431719414202589696595366115584723169822923057543195780932192143815583178784181678127457796273380285609752348317298658688070314043689070183406889383887977087961917158209069321978456075838637945569019805283968409746840399193135777722247139449286588610022417113659419583195427532638568251962401504592631943373572467646461453717340505391194678489527593179329218469577702156264415019384743595447629061496807241336912231465986385298793262296419239641/2037149601108409619682017588518645625989075299628569849187898760921669893086432285942123942414109593748017175265526083691486408298393572304885349166558291140713372398246633091378626305225488113346631668753113711715020383653221442717040123008457620025693421668641148606489296315229050313204217707673782263906665243608050917703318604387958372327775188078118997224172660987663006581720108090057430519499393604150886400000000000000000000000000000000000000000000000000"
      ],
      [
        "12351588031159201348673656511430008132426493576891922016218570731452265058522318679738966845935377278490003716196341521430077046260529869367136908290233381077191520045537966024492860317109725376993432007465936805720626018882595098993946692641844866090747614059009579490467793883066823240049562185950711608728169786799786196665416646609575670057705720836790567073327197634077089242994466624202158433023410469790781445870238164977607152849940391444997303/2708975533388842579364385091115220247325898004825225863281780267183071666338340805774100987252805310835129222427561281504636181247863792958624134529997727580735867550859884430024769022906234193280095304192970361323165403794177450421595908255927686204379550091278123146927255738336503076069438441055561521152480377138365582052285378175476558946509558614519943117250878972956125773563973524012540584440682984243200000000000000000000000000000000000000000000000000",
        "9288394199431719414202589696595366115584723169822923057543195780932192143815583178784181678127457796273380285609752348317298658688070314043689070183406889383887977087961917158209069321978456075838637945569019805283968409746840399193135777722247139449286588610022417113659419583195427532638568251962401504592631943373572467646461453717340505391194678489527593179329218469577702156264415019384743595447629061496807241336912231465986385298793262296419239641/2037149601108409619682017588518645625989075299628569849187898760921669893086432285942123942414109593748017175265526083691486408298393572304885349166558291140713372398246633091378626305225488113346631668753113711715020383653221442717040123008457620025693421668641148606489296315229050313204217707673782263906665243608050917703318604387958372327775188078118997224172660987663006581720108090057430519499393604150886400000000000000000000000000000000000000000000000000"
      ],
      [
        "234677138577322469589624356081902455395365718574407570323758633884152393591086848360066926830092974138658159632741565437464243892481412787415603160086059502788330717364906371747801865557349499576690732102548047932778580766995543687532265756693350362653910410972191897052799470631960996295864460690215797446700437893629916101265820572077169219032766185481196395875132477897054008715774822089702723822297790268306068266304384752444076287851566278845479800121/86689407796897284504854476287407685163574515286448136303191196344084693031310103696905781804521848345559434820482143598916178275217789498560011295188632047483964043485179139625795299370133958774464295697183145282231690256493085685550142713767842310230439818286307851302165098988278225599363698537097942352378733991309317341469345426137757314057587557595266452219445910765195095900030396618906478729993223658903961600000000000000000000000000000000000000000000000000",
        "4889107053694218116450507418372967820736785803633597416380263008000942354549375448726462689821983554112889763769193595078791384007653797432224793555874806128418640126710566151327156856849126359527019438707336390062536701631095832266379633771630292829127534418628188620658565674707063219953942823368524496210184925438211771980951970963387356196479461131120362444045397943458957226574828486158074369197866170780627465413323188855875518740973185992267197267/1806029329102026760517801589320993440907802401801002839649816590501764438152293827018870454260871840532488225426711324977420380733703947886666901983096500989249250905941232075537402070211124141134672827024648860046493547010272618448961306536830048129800829547631413568795106228922463033320077052856207132341223624818944111280611363044536610709533074116568051087905123140941564497917299929560551640208192159560499200000000000000000000000000000000000000000000000000"
      ],
      [
        "234677138577322469589624356081902455395365718574407570323758633884152393591086848360066926830092974138658159632741565437464243892481412787415603160086059502788330717364906371747801865557349499576690732102548047932778580766995543687532265756693350362653910410972191897052799470631960996295864460690215797446700437893629916101265820572077169219032766185481196395875132477897054008715774822089702723822297790268306068266304384752444076287851566278845479800121/86689407796897284504854476287407685163574515286448136303191196344084693031310103696905781804521848345559434820482143598916178275217789498560011295188632047483964043485179139625795299370133958774464295697183145282231690256493085685550142713767842310230439818286307851302165098988278225599363698537097942352378733991309317341469345426137757314057587557595266452219445910765195095900030396618906478729993223658903961600000000000000000000000000000000000000000000000000",
        "4889107053694218116450507418372967820736785803633597416380263008000942354549375448726462689821983554112889763769193595078791384007653797432224793555874806128418640126710566151327156856849126359527019438707336390062536701631095832266379633771630292829127534418628188620658565674707063219953942823368524496210184925438211771980951970963387356196479461131120362444045397943458957226574828486158074369197866170780627465413323188855875518740973185992267197267/1806029329102026760517801589320993440907802401801002839649816590501764438152293827018870454260871840532488225426711324977420380733703947886666901983096500989249250905941232075537402070211124141134672827024648860046493547010272618448961306536830048129800829547631413568795106228922463033320077052856207132341223624818944111280611363044536610709533074116568051087905123140941564497917299929560551640208192159560499200000000000000000000000000000000000000000000000000"
      ]
    ],
    "solver_difference": 1.2897061196781578e-10,
    "scope": "Constructed admitted endpoint population, then intact sampling and full resident density ODE on the actual selected count/size inputs; fixed size and no precursor. Not a batch simulation or the finite-count recovery probability."
  },
  "scope": "Bound evaluation imports the paper probability theorems; no Lean replay. Material, rate ratios, stationary identities, energy matrices and tiny transfer laws are freshly checked."
}