{
 "what": "ITEM46 ring pins beside the family's evaluator: the ring bases (two-precision strings), the relations found, the null heights per row",
 "stamp_utc": "2026-09-06T13:52:42Z",
 "node": {
  "q": 1013,
  "eps": "1/1013"
 },
 "rings": {
  "R1_vacuum_radical": {
   "members": {
    "1": "1.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
    "sqrt2": "1.41421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157273501384623091229702492483605585073721264412149709993583141322266592750559275579995050115278206",
    "sqrt3": "1.73205080756887729352744634150587236694280525381038062805580697945193301690880003708114618675724857567562614141540670302996994509499895247881165551209437364852809323190230558206797482010108467492",
    "sqrt5": "2.23606797749978969640917366873127623544061835961152572427089724541052092563780489941441440837878227496950817615077378350425326772444707386358636012153345270886677817319187916581127664532263985658",
    "sqrt17": "4.12310562561766054982140985597407702514719922537362043439863357309495434633762159358786365081068429668454404093921414161530142084041586836307954814574690697767702326643624086308779056757238570823",
    "sqrt59": "7.68114574786860817576968702173137247306245107761488392802473648393554165799270985185604772796137779901638905968431611210542721094356031961851387612502220331273708377865985641163223679900515352973",
    "sqrt561": "23.6854385646540224665854799118509040078624070763842527586289061055111499467709495761531854286591124371669805184459112700664400917085662952708406131974101211539576289850357241008433200787731105447",
    "tad2=Gamma(eps-1)^2": "1027028.56566968736282331802200363578591072368795315304903199628297538042946416333561664572963757753844327385087050336762005804906461363883894490140767930921479232248285114831375098714028951751524",
    "bubG11=G(1,1;eps)": "1014.42494789310903017617234620191222193784660346638898035138933078163885390564389342656849346816714871036646675739664026138016206722574252463144157210626698232672198268005436731862318145114823932",
    "P2=Gamma(2eps-1)Gamma(2-2eps)/Gamma(2-eps)": "-506.714526041205267619005146917688326442803798296209162977634553415334861258625150602819515368075412650574563236313379429108017175632761527853857945217311262598038260752928317746266010556023255255",
    "tad*bubG11=Gamma(eps-1)G(1,1;eps)": "-1028042.76951917308635652570219877911319565814418955638779519578670905127593636396225440936948282948019057497718521269645299488280722240465059163943124905314846362885017048186236065419787635310909",
    "sun0=-G(1,1;eps)*P2": "514023.856676031092349369775856072370748084613884928523013753762613859548270607474276368515495618644418370181975820745373247334099725515550910723330237546290993232944182957602908821931712439355452"
   },
   "meta": {
    "1": {
     "two_precision_200v240_digits": 240.0,
     "digits_in_string": 195
    },
    "sqrt2": {
     "two_precision_200v240_digits": 202.1,
     "digits_in_string": 195
    },
    "sqrt3": {
     "two_precision_200v240_digits": 201.4,
     "digits_in_string": 195
    },
    "sqrt5": {
     "two_precision_200v240_digits": 201.2,
     "digits_in_string": 195
    },
    "sqrt17": {
     "two_precision_200v240_digits": 201.1,
     "digits_in_string": 195
    },
    "sqrt59": {
     "two_precision_200v240_digits": 202.7,
     "digits_in_string": 195
    },
    "sqrt561": {
     "two_precision_200v240_digits": 201.3,
     "digits_in_string": 195
    },
    "tad2=Gamma(eps-1)^2": {
     "two_precision_200v240_digits": 198.8,
     "digits_in_string": 195
    },
    "bubG11=G(1,1;eps)": {
     "two_precision_200v240_digits": 199.1,
     "digits_in_string": 195
    },
    "P2=Gamma(2eps-1)Gamma(2-2eps)/Gamma(2-eps)": {
     "two_precision_200v240_digits": 199.1,
     "digits_in_string": 195
    },
    "tad*bubG11=Gamma(eps-1)G(1,1;eps)": {
     "two_precision_200v240_digits": 198.8,
     "digits_in_string": 195
    },
    "sun0=-G(1,1;eps)*P2": {
     "two_precision_200v240_digits": 198.8,
     "digits_in_string": 195
    }
   },
   "definition": "at eps = 1/1013 (the record node), the four base-point/letter radicals (2,3,5,17; 59 and 561 from the sector-487/483 kernels and the r+- quadratic) and the Gamma-vacuum products of the record's classical closed-form blocks (cl_blocks.py: G(1,1;eps), tad, the y->0 sunset P2), members at two precisions (200/240)",
   "members_audit": []
  },
  "R2_recognised_rows": {
   "members": {
    "1": "1.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
    "row3": "514108.29379852254000956152843842570066926426097894167016513582743173240241306388636559292621791722517228245955117381602097080359299053333319",
    "row4": "-342550.84900911607025102614483448697250273777846261662663053913427304213771059978834880407372076282027279749840842384006546693210535359261100",
    "row18": "-31704859.744101374177792530884992031888405831592678994907125325299583833465245300297659276699567950869198840435768981994889162955931173634200",
    "row19": "512628.77432198793565162527975500832612416443888980083733932133414397869040005121706813310339863622871435171181800654199464335831686693740434",
    "row20": "-1837678.5855098378869034315246487374304716596353764392617602453143509434342845833503340906879954735425216931984644058370849677801320879356205",
    "row23": "1027028.5656696873628233180220036357859107236879531530490319962829753804294641633356166457296375775384432738508705033676200580490646136388389",
    "row26": "1026451.3287222136717558346478545745466070908293966898396409279755288002673198305824184253242735897835079476500650132071101457757317700127564",
    "row27": "513445.22677082601987608717214807207884065566039838344510772073614057022591911792079466746174431537906464234709018156972718737406332007318159",
    "row28": "106362.841608343889518489614928043129301221243187522164196776328104063522305229303141144071497721845533376169612431300443223084800569019031411",
    "row29": "-983432.17096528107159181838667512409394371243244191066512170226410673974445713818121616230825639165434521678425526381215240346210224348209139",
    "row53": "1025874.4162082607868752283590099458311475588509869991615062003858901840633893735632753140457312800363102772658067050029760390551877329608038"
   },
   "meta": {
    "1": {
     "certified_digits": 240
    },
    "row3": {
     "certified_digits": 140,
     "sector": 321
    },
    "row4": {
     "certified_digits": 140,
     "sector": 321
    },
    "row18": {
     "certified_digits": 140,
     "sector": 359
    },
    "row19": {
     "certified_digits": 140,
     "sector": 161
    },
    "row20": {
     "certified_digits": 140,
     "sector": 161
    },
    "row23": {
     "certified_digits": 140,
     "sector": 384
    },
    "row26": {
     "certified_digits": 140,
     "sector": 416
    },
    "row27": {
     "certified_digits": 140,
     "sector": 417
    },
    "row28": {
     "certified_digits": 141,
     "sector": 417
    },
    "row29": {
     "certified_digits": 140,
     "sector": 417
    },
    "row53": {
     "certified_digits": 140,
     "sector": 480
    }
   },
   "definition": "the 11 derived-closed-form rows' node values (Re, dps160 string trimmed to its own dps130-vs-dps160 certified digits) at the same node, plus 1",
   "members_audit": []
  },
  "L1a_base_point_logs": {
   "members": {
    "1": "1.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
    "pi": "3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493",
    "log2": "0.693147180559945309417232121458176568075500134360255254120680009493393621969694715605863326996418687542001481020570685733685520235758130557032670751635075961930727570828371435190307038623891673471",
    "log3": "1.09861228866810969139524523692252570464749055782274945173469433363749429321860896687361575481373208878797002906595786574236800422593051982105280187076727741060316276918338136717937369884436095990",
    "log5": "1.60943791243410037460075933322618763952560135426851772191264789147417898770765776463013387809317961079996630302171556289972400522932467619963361661746370572755217963749718324565349285620234152506",
    "log17": "2.83321334405621608024953461787312653558820301258574478729723773788229257580093128091209486803750294751834826204718705729139759284194673836429975456574202127125991320807209047907647168172516666030"
   },
   "meta": {
    "1": {
     "two_precision_200v240_digits": 240.0
    },
    "pi": {
     "two_precision_200v240_digits": 240.0
    },
    "log2": {
     "two_precision_200v240_digits": 201.6
    },
    "log3": {
     "two_precision_200v240_digits": 201.8
    },
    "log5": {
     "two_precision_200v240_digits": 202.1
    },
    "log17": {
     "two_precision_200v240_digits": 201.4
    }
   },
   "definition": "L1a_base_point_logs",
   "members_audit": []
  },
  "L1b_letter_value_logs": {
   "members": {
    "1": "1.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
    "log2": "0.693147180559945309417232121458176568075500134360255254120680009493393621969694715605863326996418687542001481020570685733685520235758130557032670751635075961930727570828371435190307038623891673471",
    "log3": "1.09861228866810969139524523692252570464749055782274945173469433363749429321860896687361575481373208878797002906595786574236800422593051982105280187076727741060316276918338136717937369884436095990",
    "log5": "1.60943791243410037460075933322618763952560135426851772191264789147417898770765776463013387809317961079996630302171556289972400522932467619963361661746370572755217963749718324565349285620234152506",
    "log7": "1.94591014905531330510535274344317972963708472958186118845939014993757986275206926778765849858787152699306169420585114091172375225767778684314895809516390077590782446810427478338225934900846737441",
    "log11": "2.39789527279837054406194357796512929982170685393741717521856770913057362391323671307505470800263479141471572588813799852225556915859578739535530239080110806505164190668067509658946066793793824667",
    "log17": "2.83321334405621608024953461787312653558820301258574478729723773788229257580093128091209486803750294751834826204718705729139759284194673836429975456574202127125991320807209047907647168172516666030",
    "log23": "3.13549421592914969080675283181019611844238031484043574199863537748299324598479829819840109215299481435419721357133013689585872863503633780457549695796427532985074182631471880860698595650613051455",
    "log43": "3.76120011569356242347284251334584703555913618488155541519168526492285917387298643853759199808399728689750568036809679154775955038191048362058129712653262783417110712689914315423672982007294380523",
    "log59": "4.07753744390571945061605037371969762406334678933045452951203669705920011426542747735933995980263376901044387955588496228305125710651956003151847194836288904935031098896396889860519826422310167357",
    "log83": "4.41884060779659792347547222329137045302931305666323637018794346293857898988899060583842729697057343422795273806345062907970222335648501183150082770508554549673874879555677338289537273552805774290",
    "log89": "4.48863636973213983831781554066984921940466038713295936410669757728795389277945624644706355194947574301728816622678194714310095034438802222658767018741210056849701848239812367294972348674604818120",
    "log191": "5.25227342804662987284994995220236714660844147646754703148071188752869343920610636775576810489852318237414083863056263689881907052517397703214119820423009386363152192685298183531898308811859894233",
    "log223": "5.40717177146011875863610520972314002669862827447098682311037236259813627743598693113240590120074549956471512774787938351204084678510751892970325303700299139705125005470298901227192205843880060920"
   },
   "meta": {
    "1": {
     "two_precision_200v240_digits": 240.0
    },
    "log2": {
     "two_precision_200v240_digits": 201.6
    },
    "log3": {
     "two_precision_200v240_digits": 201.8
    },
    "log5": {
     "two_precision_200v240_digits": 202.1
    },
    "log7": {
     "two_precision_200v240_digits": 201.4
    },
    "log11": {
     "two_precision_200v240_digits": 202.5
    },
    "log17": {
     "two_precision_200v240_digits": 201.4
    },
    "log23": {
     "two_precision_200v240_digits": 201.5
    },
    "log43": {
     "two_precision_200v240_digits": 201.8
    },
    "log59": {
     "two_precision_200v240_digits": 201.7
    },
    "log83": {
     "two_precision_200v240_digits": 201.5
    },
    "log89": {
     "two_precision_200v240_digits": 202.4
    },
    "log191": {
     "two_precision_200v240_digits": 201.3
    },
    "log223": {
     "two_precision_200v240_digits": 202.0
    }
   },
   "definition": "L1b_letter_value_logs",
   "members_audit": []
  }
 },
 "leading_rationals": [
  {
   "row": 10,
   "value": "-2/17"
  },
  {
   "row": 11,
   "value": "-2/51"
  },
  {
   "row": 16,
   "value": "1/2"
  },
  {
   "row": 30,
   "value": "1/2"
  },
  {
   "row": 31,
   "value": "71/24"
  },
  {
   "row": 32,
   "value": "-1/16"
  },
  {
   "row": 34,
   "value": "1/2"
  },
  {
   "row": 37,
   "value": "1/2"
  },
  {
   "row": 38,
   "value": "1/1"
  },
  {
   "row": 40,
   "value": "-2/17"
  },
  {
   "row": 49,
   "value": "1/2"
  },
  {
   "row": 52,
   "value": "-2/17"
  },
  {
   "row": 55,
   "value": "1/1"
  },
  {
   "row": 56,
   "value": "1/1"
  },
  {
   "row": 57,
   "value": "1/2"
  },
  {
   "row": 58,
   "value": "1/2"
  },
  {
   "row": 59,
   "value": "-85/24"
  },
  {
   "row": 61,
   "value": "1/1"
  },
  {
   "row": 62,
   "value": "221/24"
  },
  {
   "row": 67,
   "value": "1/1"
  },
  {
   "row": 68,
   "value": "1/2"
  },
  {
   "row": 77,
   "value": "-2/17"
  }
 ],
 "rational_found_all_orders": [
  {
   "row": 10,
   "order": -3,
   "value": "-2/17"
  },
  {
   "row": 11,
   "order": -3,
   "value": "-2/51"
  },
  {
   "row": 16,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 30,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 31,
   "order": -2,
   "value": "71/24"
  },
  {
   "row": 32,
   "order": -2,
   "value": "-1/16"
  },
  {
   "row": 34,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 37,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 38,
   "order": -2,
   "value": "1/1"
  },
  {
   "row": 40,
   "order": -3,
   "value": "-2/17"
  },
  {
   "row": 49,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 52,
   "order": -3,
   "value": "-2/17"
  },
  {
   "row": 55,
   "order": -2,
   "value": "1/1"
  },
  {
   "row": 56,
   "order": -2,
   "value": "1/1"
  },
  {
   "row": 57,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 58,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 59,
   "order": -2,
   "value": "-85/24"
  },
  {
   "row": 61,
   "order": -2,
   "value": "1/1"
  },
  {
   "row": 62,
   "order": -2,
   "value": "221/24"
  },
  {
   "row": 67,
   "order": -2,
   "value": "1/1"
  },
  {
   "row": 68,
   "order": -2,
   "value": "1/2"
  },
  {
   "row": 77,
   "order": -3,
   "value": "-2/17"
  }
 ],
 "per_constant_level_N": {
  "10": {
   "sector": 327,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "11": {
   "sector": 327,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "15": {
   "sector": 355,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 135,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 19.0,
      "n_members": 12,
      "D": 135,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "16": {
   "sector": 355,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "30": {
   "sector": 420,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "31": {
   "sector": 420,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "32": {
   "sector": 420,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "34": {
   "sector": 421,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 137,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 21.0,
      "n_members": 12,
      "D": 137,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 139,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 23.0,
      "n_members": 12,
      "D": 139,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "35": {
   "sector": 421,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 134,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 18.0,
      "n_members": 12,
      "D": 134,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "36": {
   "sector": 422,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 135,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 19.0,
      "n_members": 12,
      "D": 135,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "37": {
   "sector": 422,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "38": {
   "sector": 422,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "40": {
   "sector": 423,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "49": {
   "sector": 453,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "50": {
   "sector": 453,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "52": {
   "sector": 455,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "54": {
   "sector": 481,
   "block": "elliptic",
   "parts": {
    "re": {
     "certified_digits": 135,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 19.0,
      "n_members": 12,
      "D": 135,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 135,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 19.0,
      "n_members": 12,
      "D": 135,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "55": {
   "sector": 481,
   "block": "elliptic",
   "parts": {
    "re": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "56": {
   "sector": 481,
   "block": "elliptic",
   "parts": {
    "re": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "57": {
   "sector": 481,
   "block": "elliptic",
   "parts": {
    "re": {
     "certified_digits": 139,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 23.0,
      "n_members": 12,
      "D": 139,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 139,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 23.0,
      "n_members": 12,
      "D": 139,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "58": {
   "sector": 481,
   "block": "elliptic",
   "parts": {
    "re": {
     "certified_digits": 139,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 23.0,
      "n_members": 12,
      "D": 139,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 139,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 23.0,
      "n_members": 12,
      "D": 139,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "59": {
   "sector": 481,
   "block": "elliptic",
   "parts": {
    "re": {
     "certified_digits": 137,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 21.0,
      "n_members": 12,
      "D": 137,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 137,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 21.0,
      "n_members": 12,
      "D": 137,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "60": {
   "sector": 482,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 135,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 19.0,
      "n_members": 12,
      "D": 135,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "61": {
   "sector": 482,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "62": {
   "sector": 482,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 140,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 0.0,
      "n_members": 12,
      "D": 140,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "63": {
   "sector": 483,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 131,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 15.0,
      "n_members": 12,
      "D": 131,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 131,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 15.0,
      "n_members": 12,
      "D": 131,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "64": {
   "sector": 483,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 128,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 12.0,
      "n_members": 12,
      "D": 128,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 128,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 12.0,
      "n_members": 12,
      "D": 128,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "65": {
   "sector": 483,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 128,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 12.0,
      "n_members": 12,
      "D": 128,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 128,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 12.0,
      "n_members": 12,
      "D": 128,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "66": {
   "sector": 483,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 129,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 13.0,
      "n_members": 12,
      "D": 129,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 128,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 12.0,
      "n_members": 12,
      "D": 128,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "67": {
   "sector": 483,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 130,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 14.0,
      "n_members": 12,
      "D": 130,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 130,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 14.0,
      "n_members": 12,
      "D": 130,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "68": {
   "sector": 483,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 130,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 14.0,
      "n_members": 12,
      "D": 130,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 130,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 14.0,
      "n_members": 12,
      "D": 130,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "70": {
   "sector": 485,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 139,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 23.0,
      "n_members": 12,
      "D": 139,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 141,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 100000,
      "null_brief_margin_d": 1.0,
      "n_members": 12,
      "D": 141,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "71": {
   "sector": 485,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 137,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 21.0,
      "n_members": 12,
      "D": 137,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "72": {
   "sector": 485,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 137,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 21.0,
      "n_members": 12,
      "D": 137,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "73": {
   "sector": 485,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 138,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 22.0,
      "n_members": 12,
      "D": 138,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "74": {
   "sector": 486,
   "block": "dlog-cone",
   "parts": {
    "re": {
     "certified_digits": 135,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 19.0,
      "n_members": 12,
      "D": 135,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "75": {
   "sector": 487,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "76": {
   "sector": 487,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 131,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 15.0,
      "n_members": 12,
      "D": 131,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 134,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 18.0,
      "n_members": 12,
      "D": 134,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "77": {
   "sector": 487,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 134,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 18.0,
      "n_members": 12,
      "D": 134,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 134,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 18.0,
      "n_members": 12,
      "D": 134,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  },
  "78": {
   "sector": 487,
   "block": "radical",
   "parts": {
    "re": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    },
    "im": {
     "certified_digits": 136,
     "R1_vacuum_radical": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 100000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 20.0,
      "n_members": 12,
      "D": 136,
      "found": "none",
      "found_height": "none"
     },
     "R2_recognised_rows": {
      "verdict": "NULL",
      "null_height_engine_capacity_rule": 10000,
      "null_height_brief_bound": 10000,
      "null_brief_margin_d": 8.0,
      "n_members": 12,
      "D": 124,
      "found": "none",
      "found_height": "none"
     }
    }
   }
  }
 },
 "per_constant_level_L": {
  "10": {
   "sector": 327,
   "block": "dlog-cone",
   "leading_order": -3,
   "orders": {
    "-3": {
     "rational": "FOUND",
     "rational_value": "-2/17",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "1.0e-110"
    },
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "11": {
   "sector": 327,
   "block": "dlog-cone",
   "leading_order": -3,
   "orders": {
    "-3": {
     "rational": "FOUND",
     "rational_value": "-2/51",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "1.0e-110"
    },
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "15": {
   "sector": 355,
   "block": "dlog-cone",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "16": {
   "sector": 355,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "30": {
   "sector": 420,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "31": {
   "sector": 420,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "71/24",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "2.704e-109"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "32": {
   "sector": 420,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "-1/16",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "34": {
   "sector": 421,
   "block": "radical",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "35": {
   "sector": 421,
   "block": "radical",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "36": {
   "sector": 422,
   "block": "dlog-cone",
   "leading_order": 0,
   "orders": {
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "4": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "37": {
   "sector": 422,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "38": {
   "sector": 422,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/1",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "40": {
   "sector": 423,
   "block": "dlog-cone",
   "leading_order": -3,
   "orders": {
    "-3": {
     "rational": "FOUND",
     "rational_value": "-2/17",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "1.0e-110"
    },
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "49": {
   "sector": 453,
   "block": "radical",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "50": {
   "sector": 453,
   "block": "radical",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "52": {
   "sector": 455,
   "block": "dlog-cone",
   "leading_order": -3,
   "orders": {
    "-3": {
     "rational": "FOUND",
     "rational_value": "-2/17",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "1.0e-110"
    },
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "54": {
   "sector": 481,
   "block": "elliptic",
   "leading_order": 0,
   "orders": {
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "4": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "55": {
   "sector": 481,
   "block": "elliptic",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/1",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "56": {
   "sector": 481,
   "block": "elliptic",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/1",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "57": {
   "sector": 481,
   "block": "elliptic",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "58": {
   "sector": 481,
   "block": "elliptic",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "59": {
   "sector": 481,
   "block": "elliptic",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "-85/24",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "2.259e-109"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "60": {
   "sector": 482,
   "block": "radical",
   "leading_order": 0,
   "orders": {
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "4": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "61": {
   "sector": 482,
   "block": "radical",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/1",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0",
     "record_tag": {
      "exact_pslq": "exact 1",
      "status": "REMAINS-INTERIM"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "62": {
   "sector": 482,
   "block": "radical",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "221/24",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "8.688e-110",
     "record_tag": {
      "exact_pslq": "exact 221/24",
      "status": "REMAINS-INTERIM"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "63": {
   "sector": 483,
   "block": "radical",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "64": {
   "sector": 483,
   "block": "radical",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "65": {
   "sector": 483,
   "block": "radical",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "66": {
   "sector": 483,
   "block": "radical",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "67": {
   "sector": 483,
   "block": "radical",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/1",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "68": {
   "sector": 483,
   "block": "radical",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "FOUND",
     "rational_value": "1/2",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "0.0"
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "70": {
   "sector": 485,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "71": {
   "sector": 485,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "72": {
   "sector": 485,
   "block": "dlog-cone",
   "leading_order": -1,
   "orders": {
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "73": {
   "sector": 485,
   "block": "dlog-cone",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "74": {
   "sector": 486,
   "block": "dlog-cone",
   "leading_order": 0,
   "orders": {
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "4": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "75": {
   "sector": 487,
   "block": "radical",
   "leading_order": -3,
   "orders": {
    "-3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "FOUND",
      "null_certified_height": 1000,
      "null_brief_margin_d": 54.0,
      "found": [
       2006,
       0,
       0,
       -45,
       27,
       0,
       0
      ],
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited",
      "closed_form": "(+45*log2 -27*log3)/2006"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "76": {
   "sector": 487,
   "block": "radical",
   "leading_order": -2,
   "orders": {
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "77": {
   "sector": 487,
   "block": "radical",
   "leading_order": -3,
   "orders": {
    "-3": {
     "rational": "FOUND",
     "rational_value": "-2/17",
     "rational_null_height": "n/a",
     "rational_reverify_relresid": "1.0e-110"
    },
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  },
  "78": {
   "sector": 487,
   "block": "radical",
   "leading_order": -3,
   "orders": {
    "-3": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "FOUND",
      "null_certified_height": 10000,
      "null_brief_margin_d": 42.0,
      "found": [
       10148,
       0,
       0,
       189,
       -432,
       0,
       0
      ],
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited",
      "closed_form": "(-189*log2 +432*log3)/10148"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight >= 2 expected; the weight-1 scan is scope-limited"
     }
    },
    "-2": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a",
     "L1a_base_point_logs": {
      "verdict": "NULL",
      "null_certified_height": 100000,
      "null_brief_margin_d": 30.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     },
     "L1b_letter_value_logs": {
      "verdict": "NULL",
      "null_certified_height": 100,
      "null_brief_margin_d": 34.0,
      "found": "none",
      "expected_weight_class": "weight-1 (logs) natural"
     }
    },
    "-1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "0": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    },
    "1": {
     "rational": "NULL",
     "rational_value": "none",
     "rational_null_height": 100000000,
     "rational_reverify_relresid": "n/a"
    }
   }
  }
 },
 "bank_sha256": "2106f9fe99341b74af6963aa5ed0bb85c7797180836869a3b87c8b80e4d6f629",
 "ring_pass_sha256": "aa67bfbb7fce6ddb799ab51a0926868d6d43db4a5a9f8496e3e33a0f8bc2c1e2"
}