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Exact global Y/Z certificate: logs 4

Definition
mme_released_global_yz_logs_4

by raresbuhai · Sep 22, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

matrix-multiplicationmore-asymmetrynumerical-certificate

One component of the exact six-orientation Y/Z certificate: word enumeration and cached integer counts, finite entropy expressions, or outward-rounded logarithm intervals. All numerical data are connected to the published profile by the accompanying full proofs. Tables are split by orientation to fit publication and compilation limits.

Definition code
import Definitions.Def_mme_released_global_yz_expression_primitives
open BigOperators MME MME.ReleasedGlobalYZ
set_option autoImplicit false
set_option maxRecDepth 100000
set_option maxHeartbeats 16000000
namespace MME.ReleasedGlobalYZ

private def mkLog (q : ℚ) (k : ℕ) (lo hi : ℤ) : Entry :=
  ((q,q),(k,(lo : ℚ)/1000000000000,(hi : ℚ)/1000000000000))

private def logTable : Fin 471 → Entry :=
![mkLog (23073656383/1000000000000) 6 (-3769063728605) (-3769063728484),
  mkLog (113875631401/1000000000000) 4 (-2172648378773) (-2172648378692),
  mkLog (289599598993/1000000000000) 2 (-1239256003185) (-1239256003144),
  mkLog (352758014859/1000000000000) 2 (-1041972967454) (-1041972967413),
  mkLog (1520635981/8000000000) 3 (-1660312885808) (-1660312885747),
  mkLog (28920610917/1000000000000) 6 (-3543200757598) (-3543200757477),
  mkLog (1659731621/1000000000000) 10 (-6401099363882) (-6401099363681),
  mkLog (3313847/100000000000) 15 (-10314815714956) (-10314815714655),
  mkLog (119731/1000000000000) 23 (-15938018277359) (-15938018276898),
  mkLog (28468789396760345107446406007238903/1000000000000000000000000000000000000) 6 (-3558946900724) (-3558946900603),
  mkLog (28469026303739654892553593992761097/1000000000000000000000000000000000000) 6 (-3558938579120) (-3558938578999),
  mkLog (432579397863248126784592143683126190492670077/250000000000000000000000000000000000000000000000) 10 (-6359450308547) (-6359450308346),
  mkLog (6229457016811971870336474576050799434507329923/125000000000000000000000000000000000000000000000) 5 (-2999024564562) (-2999024564461),
  mkLog (432579397854614534881592143683126190492670077/250000000000000000000000000000000000000000000000) 10 (-6359450308567) (-6359450308366),
  mkLog (45751775529640721506280727825301639/1000000000000000000000000000000000000) 5 (-3084524678673) (-3084524678572),
  mkLog (45751775529120791894444727825301639/1000000000000000000000000000000000000) 5 (-3084524678685) (-3084524678584),
  mkLog (2162896638138171634694380177205326824702753/1250000000000000000000000000000000000000000000) 10 (-6359450470912) (-6359450470711),
  mkLog (45751775529169100362474727825301639/1000000000000000000000000000000000000) 5 (-3084524678684) (-3084524678583),
  mkLog (45751775529379934810489727825301639/1000000000000000000000000000000000000) 5 (-3084524678679) (-3084524678578),
  mkLog (31147231836027549252062841660870947550297247/625000000000000000000000000000000000000000000) 5 (-2999026274120) (-2999026274019),
  mkLog (2162896637709512132371880177205326824702753/1250000000000000000000000000000000000000000000) 10 (-6359450471110) (-6359450470909),
  mkLog (4628208381463250300849708444556079/2000000000000000000000000000000000000) 9 (-6068732625070) (-6068732624889),
  mkLog (4628208381482405094173708444556079/2000000000000000000000000000000000000) 9 (-6068732625066) (-6068732624885),
  mkLog (137089467110483071580282614235649687762600797/50000000000000000000000000000000000000000000000) 9 (-5899144527212) (-5899144527031),
  mkLog (2009795500213392487853313337365868237237399203/25000000000000000000000000000000000000000000000) 4 (-2520842849201) (-2520842849120),
  mkLog (137089467110727424682082614235649687762600797/50000000000000000000000000000000000000000000000) 9 (-5899144527210) (-5899144527029),
  mkLog (2741789427041281378466165138916463390216789107/1000000000000000000000000000000000000000000000000) 9 (-5899144496272) (-5899144496091),
  mkLog (2741789427027092338142165138916463390216789107/1000000000000000000000000000000000000000000000000) 9 (-5899144496277) (-5899144496096),
  mkLog (137089467111436876698282614235649687762600797/50000000000000000000000000000000000000000000000) 9 (-5899144527205) (-5899144527024),
  mkLog (2009795500253689609041513337365868237237399203/25000000000000000000000000000000000000000000000) 4 (-2520842849181) (-2520842849100),
  mkLog (137089467108599068633482614235649687762600797/50000000000000000000000000000000000000000000000) 9 (-5899144527226) (-5899144527045),
  mkLog (40195908708126024496037728570856918859783210893/500000000000000000000000000000000000000000000000) 4 (-2520842881447) (-2520842881366),
  mkLog (40195908707308392352985728570856918859783210893/500000000000000000000000000000000000000000000000) 4 (-2520842881467) (-2520842881386),
  mkLog (2314108275516364992141520294114479/1000000000000000000000000000000000000) 9 (-6068730859903) (-6068730859722),
  mkLog (2741789427012667224926165138916463390216789107/1000000000000000000000000000000000000000000000000) 9 (-5899144496282) (-5899144496101),
  mkLog (2314108275511438584623520294114479/1000000000000000000000000000000000000) 9 (-6068730859905) (-6068730859724),
  mkLog (24097647176011399056217887718467/250000000000000000000000000000000000) 14 (-9247101988806) (-9247101988525),
  mkLog (15759622966909140125392480948326599/4000000000000000000000000000000000000) 8 (-5536598479459) (-5536598479298),
  mkLog (15759622966902258339488480948326599/4000000000000000000000000000000000000) 8 (-5536598479459) (-5536598479298),
  mkLog (97021675684893272706044318407130768184949401576414089877/1000000000000000000000000000000000000000000000000000000000000) 14 (-9240576143897) (-9240576143616),
  mkLog (2047660266195635991782986851340355520325741350923585910123/500000000000000000000000000000000000000000000000000000000000) 8 (-5497910290733) (-5497910290572),
  mkLog (97021675697428031955044318407130768184949401576414089877/1000000000000000000000000000000000000000000000000000000000000) 14 (-9240576143768) (-9240576143487),
  mkLog (15759622967000570188936480948326599/4000000000000000000000000000000000000) 8 (-5536598479453) (-5536598479292),
  mkLog (15759622963887034333824480948326599/4000000000000000000000000000000000000) 8 (-5536598479651) (-5536598479490),
  mkLog (2047660241644638620534374096901226043504143629923585910123/500000000000000000000000000000000000000000000000000000000000) 8 (-5497910302723) (-5497910302562),
  mkLog (35399525453160613217793548476353226417985165617576414089877/250000000000000000000000000000000000000000000000000000000000) 3 (-1954762503121) (-1954762503060),
  mkLog (2047660240921555072070874096901226043504143629923585910123/500000000000000000000000000000000000000000000000000000000000) 8 (-5497910303076) (-5497910302915),
  mkLog (15759621703080868412210395910485009/4000000000000000000000000000000000000) 8 (-5536598559653) (-5536598559492),
  mkLog (15759621703131007449206395910485009/4000000000000000000000000000000000000) 8 (-5536598559650) (-5536598559489),
  mkLog (2047660268601449505462486851340355520325741350923585910123/500000000000000000000000000000000000000000000000000000000000) 8 (-5497910289558) (-5497910289397),
  mkLog (97021675722251772385044318407130768184949401576414089877/1000000000000000000000000000000000000000000000000000000000000) 14 (-9240576143512) (-9240576143231),
  mkLog (15759621703081851524482395910485009/4000000000000000000000000000000000000) 8 (-5536598559653) (-5536598559492),
  mkLog (15759621703535069081990395910485009/4000000000000000000000000000000000000) 8 (-5536598559624) (-5536598559463),
  mkLog (96391816755526939264436618306769/1000000000000000000000000000000000000) 14 (-9247089248520) (-9247089248239),
  mkLog (170630387716308834163263997260673/1000000000000000000000000000000000000) 13 (-8676010816295) (-8676010816034),
  mkLog (188878971888402374263585824698797620581433767/1000000000000000000000000000000000000000000000000) 13 (-8574404108533) (-8574404108272),
  mkLog (188878971878999174438585824698797620581433767/1000000000000000000000000000000000000000000000000) 13 (-8574404108583) (-8574404108322),
  mkLog (170630387735251246225263997260673/1000000000000000000000000000000000000) 13 (-8676010816184) (-8676010815923),
  mkLog (3340882259973279521296771953666548379418566233/500000000000000000000000000000000000000000000000) 8 (-5008373176703) (-5008373176542),
  mkLog (3340882260745543760331271953666548379418566233/500000000000000000000000000000000000000000000000) 8 (-5008373176472) (-5008373176311),
  mkLog (18887897062985124098799831629381041261473733/100000000000000000000000000000000000000000000000) 13 (-8574404115196) (-8574404114935),
  mkLog (334088240717325059382220954329468258738526267/50000000000000000000000000000000000000000000000) 8 (-5008373132643) (-5008373132482),
  mkLog (18887897062513263952399831629381041261473733/100000000000000000000000000000000000000000000000) 13 (-8574404115221) (-8574404114960),
  mkLog (188878971874246569871585824698797620581433767/1000000000000000000000000000000000000000000000000) 13 (-8574404108608) (-8574404108347),
  mkLog (334088240730005777904770954329468258738526267/50000000000000000000000000000000000000000000000) 8 (-5008373132605) (-5008373132444),
  mkLog (18887897063450183624599831629381041261473733/100000000000000000000000000000000000000000000000) 13 (-8574404115172) (-8574404114911),
  mkLog (170629850547770360021604726831649/1000000000000000000000000000000000000) 13 (-8676013964442) (-8676013964181),
  mkLog (170629850581140601299604726831649/1000000000000000000000000000000000000) 13 (-8676013964246) (-8676013963985),
  mkLog (128976991313567494485268502949790205351977/15625000000000000000000000000000000000000000000) 17 (-11704748727215) (-11704748726874),
  mkLog (1834465471204064962763341909013834794648023/7812500000000000000000000000000000000000000000) 13 (-8356727151451) (-8356727151189),
  mkLog (72318146794137437166725025817169/250000000000000000000000000000000000) 12 (-8148141106291) (-8148141106050),
  mkLog (72318146438224360782475025817169/250000000000000000000000000000000000) 12 (-8148141111213) (-8148141110972),
  mkLog (128976991313615723907143502949790205351977/15625000000000000000000000000000000000000000000) 17 (-11704748727215) (-11704748726874),
  mkLog (72318146773516525222725025817169/250000000000000000000000000000000000) 12 (-8148141106576) (-8148141106335),
  mkLog (72318146781867408103225025817169/250000000000000000000000000000000000) 12 (-8148141106461) (-8148141106220),
  mkLog (257953986484129172241629664094907662799073/31250000000000000000000000000000000000000000000) 17 (-11704748712263) (-11704748711922),
  mkLog (3668930992826403698861143057685592337200927/15625000000000000000000000000000000000000000000) 13 (-8356727137709) (-8356727137447),
  mkLog (257953985574220732804129664094907662799073/31250000000000000000000000000000000000000000000) 17 (-11704748715790) (-11704748715449),
  mkLog (3313847/400000000000) 17 (-11701110076096) (-11701110075755),
  mkLog (16460001/4000000000000) 18 (-12400871663263) (-12400871662902),
  mkLog (16460001/1000000000000) 16 (-11014577302123) (-11014577301802),
  mkLog (778906987296021089/200000000000000000000000) 18 (-12455936286085) (-12455936285724),
  mkLog (17719526188920738303/200000000000000000000000) 14 (-9331405439626) (-9331405439345),
  mkLog (15222537299858840941/200000000000000000000000) 14 (-9483295598863) (-9483295598582),
  mkLog (3805634242500085787/50000000000000000000000) 14 (-9483295620532) (-9483295620251),
  mkLog (38945349359828813/10000000000000000000000) 18 (-12455936286213) (-12455936285852),
  mkLog (3044507456312198481/40000000000000000000000) 14 (-9483295600065) (-9483295599784),
  mkLog (15222537285339895907/200000000000000000000000) 14 (-9483295599817) (-9483295599536),
  mkLog (155781395748753159/40000000000000000000000) 18 (-12455936297065) (-12455936296704),
  mkLog (17719526055266888127/200000000000000000000000) 14 (-9331405447169) (-9331405446888),
  mkLog (31156278632637521/8000000000000000000000) 18 (-12455936313663) (-12455936313302),
  mkLog (99444829/200000000000) 11 (-7606469637671) (-7606469637450),
  mkLog (1765545958452774649/31250000000000000000000) 15 (-9781314687859) (-9781314687558),
  mkLog (3278862500762266979/62500000000000000000000) 15 (-9855425272176) (-9855425271875),
  mkLog (6557724999755058409/125000000000000000000000) 15 (-9855425272446) (-9855425272145),
  mkLog (3531091917495374481/62500000000000000000000) 15 (-9781314687692) (-9781314687391),
  mkLog (127278655621474606427/125000000000000000000000) 10 (-6889690194782) (-6889690194581),
  mkLog (127278655622654256793/125000000000000000000000) 10 (-6889690194773) (-6889690194572),
  mkLog (6557725025707366461/125000000000000000000000) 15 (-9855425268489) (-9855425268188),
  mkLog (127278651905575953527/125000000000000000000000) 10 (-6889690223977) (-6889690223776),
  mkLog (3278862512558770639/62500000000000000000000) 15 (-9855425268579) (-9855425268278),
  mkLog (63639325979035197407/62500000000000000000000) 10 (-6889690223565) (-6889690223364),
  mkLog (655772502747684201/12500000000000000000000) 15 (-9855425268219) (-9855425267918),
  mkLog (7062200060491708109/125000000000000000000000) 15 (-9781312390176) (-9781312389875),
  mkLog (88277500734027907/1562500000000000000000) 15 (-9781312390427) (-9781312390125),
  mkLog (589825183/125000000000) 8 (-5356242823371) (-5356242823210),
  mkLog (22393770251697340123/1000000000000000000000000) 16 (-10706727751709) (-10706727751388),
  mkLog (78231354924687299107/200000000000000000000000) 12 (-7846402120346) (-7846402120105),
  mkLog (195578387354729681901/500000000000000000000000) 12 (-7846402120126) (-7846402119885),
  mkLog (22287440628523533207/1000000000000000000000000) 16 (-10711487238831) (-10711487238510),
  mkLog (95069024086134514327/250000000000000000000000) 12 (-7874612999861) (-7874612999620),
  mkLog (97789193683509331541/250000000000000000000000) 12 (-7846402120063) (-7846402119822),
  mkLog (391156774795482232069/1000000000000000000000000) 12 (-7846402119906) (-7846402119665),
  mkLog (380276099674851957359/1000000000000000000000000) 12 (-7874612991103) (-7874612990862),
  mkLog (7504685405222290146753/1000000000000000000000000) 8 (-4892227732881) (-4892227732720),
  mkLog (190138049954171299899/500000000000000000000000) 12 (-7874612990489) (-7874612990248),
  mkLog (195578398783482180231/500000000000000000000000) 12 (-7846402061691) (-7846402061450),
  mkLog (11883627993869465167/31250000000000000000000) 12 (-7874613001283) (-7874613001042),
  mkLog (5571860160203128597/250000000000000000000000) 16 (-10711487238280) (-10711487237959),
  mkLog (391156797554675379281/1000000000000000000000000) 12 (-7846402061722) (-7846402061481),
  mkLog (391156797530097416919/1000000000000000000000000) 12 (-7846402061785) (-7846402061544),
  mkLog (5598390546739241153/250000000000000000000000) 16 (-10706737042941) (-10706737042620),
  mkLog (12288981181/1000000000000) 7 (-4399052257121) (-4399052256980),
  mkLog (13176637304979077667/250000000000000000000000) 15 (-9850770836667) (-9850770836366),
  mkLog (329415932594916441/6250000000000000000000) 15 (-9850770836757) (-9850770836456),
  mkLog (11643695508540319461/250000000000000000000000) 15 (-9974451321528) (-9974451321227),
  mkLog (129570492033450696087/125000000000000000000000) 10 (-6871843943319) (-6871843943118),
  mkLog (582184775249652969/12500000000000000000000) 15 (-9974451321833) (-9974451321532),
  mkLog (11643695246043073467/250000000000000000000000) 15 (-9974451344072) (-9974451343771),
  mkLog (5821847621247906693/125000000000000000000000) 15 (-9974451344377) (-9974451344076),
  mkLog (16196311540097345331/15625000000000000000000) 10 (-6871843941101) (-6871843940900),
  mkLog (11643695494351279137/250000000000000000000000) 15 (-9974451322747) (-9974451322446),
  mkLog (64785247504800952023/62500000000000000000000) 10 (-6871843920349) (-6871843920148),
  mkLog (259140990003832347741/250000000000000000000000) 10 (-6871843920408) (-6871843920207),
  mkLog (3294155082243687507/62500000000000000000000) 15 (-9850772125009) (-9850772124708),
  mkLog (1647077541713053767/31250000000000000000000) 15 (-9850772124650) (-9850772124349),
  mkLog (1182420027/250000000000) 8 (-5353897709290) (-5353897709129),
  mkLog (27730962997944209/8000000000000000000000) 19 (-12572402513153) (-12572402512772),
  mkLog (3125786575857834023/40000000000000000000000) 14 (-9456948777447) (-9456948777166),
  mkLog (3466370376754520513/1000000000000000000000000) 19 (-12572402512573) (-12572402512192),
  mkLog (83179672007815437357/1000000000000000000000000) 14 (-9394507566960) (-9394507566679),
  mkLog (83179672013849920521/1000000000000000000000000) 14 (-9394507566888) (-9394507566607),
  mkLog (216648174539436577/62500000000000000000000) 19 (-12572402392598) (-12572402392217),
  mkLog (83179672008821184551/1000000000000000000000000) 14 (-9394507566948) (-9394507566667),
  mkLog (41589836003153408283/500000000000000000000000) 14 (-9394507566978) (-9394507566697),
  mkLog (39072381244239151093/500000000000000000000000) 14 (-9456947522185) (-9456947521904),
  mkLog (1733185267076978187/500000000000000000000000) 19 (-12572402467166) (-12572402466784),
  mkLog (502873597/1000000000000) 11 (-7595171717767) (-7595171717546),
  mkLog (16581709/4000000000000) 18 (-12393504698875) (-12393504698514),
  mkLog (16581709/1000000000000) 16 (-11007210337735) (-11007210337414),
  mkLog (119929/1000000000000) 23 (-15936365936167) (-15936365935706),
  mkLog (11536768227/500000000000) 6 (-3769068926278) (-3769068926157),
  mkLog (28464643969510345107446406007238903/1000000000000000000000000000000000000) 6 (-3559092524376) (-3559092524255),
  mkLog (28464880876489654892553593992761097/1000000000000000000000000000000000000) 6 (-3559084201560) (-3559084201439),
  mkLog (28464762423/250000000000) 4 (-2172794001820) (-2172794001739),
  mkLog (431712805269562370253342143683126190492670077/250000000000000000000000000000000000000000000000) 10 (-6361455632397) (-6361455632196),
  mkLog (6219688933762416139014599576050799434507329923/125000000000000000000000000000000000000000000000) 5 (-3000593842502) (-3000593842401),
  mkLog (431712805260425904753342143683126190492670077/250000000000000000000000000000000000000000000000) 10 (-6361455632418) (-6361455632217),
  mkLog (45668595857632906068923727825301639/1000000000000000000000000000000000000) 5 (-3086344397708) (-3086344397607),
  mkLog (45668595857106941973923727825301639/1000000000000000000000000000000000000) 5 (-3086344397719) (-3086344397618),
  mkLog (2158563674647382903154380177205326824702753/1250000000000000000000000000000000000000000000) 10 (-6361455795330) (-6361455795129),
  mkLog (45668595857160279177923727825301639/1000000000000000000000000000000000000) 5 (-3086344397718) (-3086344397617),
  mkLog (45668595857373627993923727825301639/1000000000000000000000000000000000000) 5 (-3086344397713) (-3086344397612),
  mkLog (31098391359472250313196591660870947550297247/625000000000000000000000000000000000000000000) 5 (-3000595556716) (-3000595556615),
  mkLog (2158563674541819686904380177205326824702753/1250000000000000000000000000000000000000000000) 10 (-6361455795379) (-6361455795178),
  mkLog (72274181349/250000000000) 2 (-1240993956935) (-1240993956894),
  mkLog (4522795283023417679513708444556079/2000000000000000000000000000000000000) 9 (-6091772231487) (-6091772231306),
  mkLog (4522795283052031833053708444556079/2000000000000000000000000000000000000) 9 (-6091772231481) (-6091772231300),
  mkLog (134760728008775007688082614235649687762600797/50000000000000000000000000000000000000000000000) 9 (-5916277463716) (-5916277463535),
  mkLog (1983881401806702348635913337365868237237399203/25000000000000000000000000000000000000000000000) 4 (-2533820595148) (-2533820595067),
  mkLog (134760728009728812806082614235649687762600797/50000000000000000000000000000000000000000000000) 9 (-5916277463709) (-5916277463528),
  mkLog (2695214646057109084598165138916463390216789107/1000000000000000000000000000000000000000000000000) 9 (-5916277431851) (-5916277431670),
  mkLog (1983881401789533856511913337365868237237399203/25000000000000000000000000000000000000000000000) 4 (-2533820595157) (-2533820595076),
  mkLog (39677626728087616879853728570856918859783210893/500000000000000000000000000000000000000000000000) 4 (-2533820628115) (-2533820628034),
  mkLog (39677626727300727657503728570856918859783210893/500000000000000000000000000000000000000000000000) 4 (-2533820628135) (-2533820628054),
  mkLog (2261401794200465992029520294114479/1000000000000000000000000000000000000) 9 (-6091770395152) (-6091770394971),
  mkLog (2695214646028494931058165138916463390216789107/1000000000000000000000000000000000000000000000000) 9 (-5916277431862) (-5916277431681),
  mkLog (2261401794176620864079520294114479/1000000000000000000000000000000000000) 9 (-6091770395162) (-6091770394981),
  mkLog (348028334751/1000000000000) 2 (-1055471380845) (-1055471380804),
  mkLog (18499204613087064025467887718467/250000000000000000000000000000000000) 14 (-9511488459713) (-9511488459432),
  mkLog (14194995868415394143252480948326599/4000000000000000000000000000000000000) 9 (-5641160141327) (-5641160141146),
  mkLog (14194995868064420884280480948326599/4000000000000000000000000000000000000) 9 (-5641160141352) (-5641160141171),
  mkLog (74734235056369739499044318407130768184949401576414089877/1000000000000000000000000000000000000000000000000000000000000) 14 (-9501572270334) (-9501572270053),
  mkLog (1857522218023366963128986851340355520325741350923585910123/500000000000000000000000000000000000000000000000000000000000) 9 (-5595364639724) (-5595364639543),
  mkLog (74734235068904498748044318407130768184949401576414089877/1000000000000000000000000000000000000000000000000000000000000) 14 (-9501572270166) (-9501572269885),
  mkLog (14194995864705105405548480948326599/4000000000000000000000000000000000000) 9 (-5641160141589) (-5641160141408),
  mkLog (1857522191807212641854874096901226043504143629923585910123/500000000000000000000000000000000000000000000000000000000000) 9 (-5595364653838) (-5595364653656),
  mkLog (33523354101855040681105298476353226417985165617576414089877/250000000000000000000000000000000000000000000000000000000000) 3 (-2009218584580) (-2009218584519),
  mkLog (1857522190967383772171874096901226043504143629923585910123/500000000000000000000000000000000000000000000000000000000000) 9 (-5595364654290) (-5595364654108),
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  mkLog (1647446664565953153/4000000000000000000000) 12 (-7794823026909) (-7794823026668),
  mkLog (407810478810633945777/1000000000000000000000000) 12 (-7804708004320) (-7804708004079),
  mkLog (411861662644623759549/1000000000000000000000000) 12 (-7794823035399) (-7794823035158),
  mkLog (468167446458984666699/62500000000000000000000) 8 (-4894095812301) (-4894095812139),
  mkLog (51482707180399305333/125000000000000000000000) 12 (-7794823048028) (-7794823047787),
  mkLog (203905212527087647443/500000000000000000000000) 12 (-7804708136137) (-7804708135896),
  mkLog (203905211098261280877/500000000000000000000000) 12 (-7804708143144) (-7804708142903),
  mkLog (411861667883653770291/1000000000000000000000000) 12 (-7794823022679) (-7794823022438),
  mkLog (25488151388849355687/62500000000000000000000) 12 (-7804708143083) (-7804708142842),
  mkLog (203905210822522859259/500000000000000000000000) 12 (-7804708144497) (-7804708144256),
  mkLog (11335407116236456329/500000000000000000000000) 16 (-10694432177512) (-10694432177191),
  mkLog (12533564619/1000000000000) 7 (-4379345063852) (-4379345063711),
  mkLog (10685419333452467811/200000000000000000000000) 15 (-9837192512622) (-9837192512321),
  mkLog (4767535026652270437/100000000000000000000000) 15 (-9951096059692) (-9951096059391),
  mkLog (209637544637121950727/200000000000000000000000) 10 (-6860692584048) (-6860692583847),
  mkLog (9535070701581151131/200000000000000000000000) 15 (-9951095991703) (-9951095991402),
  mkLog (1907014010852422683/40000000000000000000000) 15 (-9951096059591) (-9951096059290),
  mkLog (209637544083645022029/200000000000000000000000) 10 (-6860692586688) (-6860692586487),
  mkLog (209637496969160859747/200000000000000000000000) 10 (-6860692811431) (-6860692811230),
  mkLog (209637497202808559751/200000000000000000000000) 10 (-6860692810316) (-6860692810115),
  mkLog (5342764109991838731/100000000000000000000000) 15 (-9837182322476) (-9837182322175),
  mkLog (10685528199874654101/200000000000000000000000) 15 (-9837182324358) (-9837182324057),
  mkLog (957572541/200000000000) 8 (-5341671166591) (-5341671166430),
  mkLog (1842370482699296457/500000000000000000000000) 19 (-12511310329314) (-12511310328932),
  mkLog (78818483755354397631/1000000000000000000000000) 14 (-9448363023325) (-9448363023044),
  mkLog (3684740965907591463/1000000000000000000000000) 19 (-12511310329176) (-12511310328794),
  mkLog (21038913409265975727/250000000000000000000000) 14 (-9382842454496) (-9382842454215),
  mkLog (84155653576493075577/1000000000000000000000000) 14 (-9382842455216) (-9382842454935),
  mkLog (3684740920097722053/1000000000000000000000000) 19 (-12511310341608) (-12511310341226),
  mkLog (16831130714484217437/200000000000000000000000) 14 (-9382842455264) (-9382842454983),
  mkLog (21038913393996019257/250000000000000000000000) 14 (-9382842455222) (-9382842454941),
  mkLog (39409243553045922849/500000000000000000000000) 14 (-9448362980813) (-9448362980532),
  mkLog (3684740925187707543/1000000000000000000000000) 19 (-12511310340227) (-12511310339845),
  mkLog (508998549/1000000000000) 11 (-7583065392217) (-7583065391996),
  mkLog (130691/31250000000) 18 (-12384694176054) (-12384694175693),
  mkLog (130691/7812500000) 16 (-10998399814914) (-10998399814593),
  mkLog (4554080441/200000000000) 6 (-3782293735311) (-3782293735190),
  mkLog (14199184346385353286735946766717523/500000000000000000000000000000000000) 6 (-3561423575921) (-3561423575800),
  mkLog (14199191200364646713264053233282477/500000000000000000000000000000000000) 6 (-3561423093219) (-3561423093098),
  mkLog (113593502187/1000000000000) 4 (-2175128973430) (-2175128973349),
  mkLog (805035464545832535310891572117338921852738683/500000000000000000000000000000000000000000000000) 10 (-6431477045721) (-6431477045520),
  mkLog (12492546777818927913935172058687346328147261317/250000000000000000000000000000000000000000000000) 5 (-2996328709212) (-2996328709111),
  mkLog (182471532043428397679282563702384737/4000000000000000000000000000000000000) 5 (-3087455468101) (-3087455468000),
  mkLog (805035477869555755998022573943854860787370997/500000000000000000000000000000000000000000000000) 10 (-6431477029170) (-6431477028969),
  mkLog (12492546497158584374935272869655275639212629003/250000000000000000000000000000000000000000000000) 5 (-2996328731678) (-2996328731577),
  mkLog (288852188913/1000000000000) 2 (-1241840178778) (-1241840178737),
  mkLog (1104524823938159792474631811434569/500000000000000000000000000000000000) 9 (-6115192879616) (-6115192879435),
  mkLog (2610115020364574978883918445776262728555662083/1000000000000000000000000000000000000000000000000) 9 (-5948360989604) (-5948360989423),
  mkLog (39252468004516776369248866365855504271444337917/500000000000000000000000000000000000000000000000) 4 (-2544593777115) (-2544593777034),
  mkLog (1044045904637998324790838263887510617299220803/400000000000000000000000000000000000000000000000) 9 (-5948361088745) (-5948361088564),
  mkLog (15700992290182803923123413860530712782700779197/200000000000000000000000000000000000000000000000) 4 (-2544593453035) (-2544593452954),
  mkLog (2209016128256966479213906131776211/1000000000000000000000000000000000000) 9 (-6115208053504) (-6115208053323),
  mkLog (429671057/1250000000) 2 (-1067878898100) (-1067878898059),
  mkLog (53392577137019810171786305737107/1000000000000000000000000000000000000) 15 (-9837838826736) (-9837838826435),
  mkLog (1482698911315208423836436463316761/500000000000000000000000000000000000) 9 (-5820744082730) (-5820744082549),
  mkLog (59440897038040252966085944911222032517846695582326515901/1000000000000000000000000000000000000000000000000000000000000) 15 (-9730528066332) (-9730528066030),
  mkLog (1452065386813659452565057623726833911185596223917673484099/500000000000000000000000000000000000000000000000000000000000) 9 (-5841621150884) (-5841621150703),
  mkLog (1452065465075479927491312890041048598688427011917673484099/500000000000000000000000000000000000000000000000000000000000) 9 (-5841621096987) (-5841621096806),
  mkLog (32305786308229982401684323185116557457608130068582326515901/250000000000000000000000000000000000000000000000000000000000) 3 (-2046214561039) (-2046214560978),
  mkLog (741349663133147505803158772142009/250000000000000000000000000000000000) 9 (-5820743802868) (-5820743802687),
  mkLog (53389870582304567459063058274013/1000000000000000000000000000000000000) 15 (-9837889519613) (-9837889519312),
  mkLog (164907400577/1000000000000) 3 (-1802371171273) (-1802371171212),
  mkLog (15970083120910411029383133955993/250000000000000000000000000000000000) 14 (-9658499029956) (-9658499029675),
  mkLog (39612009004094684253553513559796543917587879/500000000000000000000000000000000000000000000000) 14 (-9443231047579) (-9443231047298),
  mkLog (1152179636801921230078482371175528456082412121/250000000000000000000000000000000000000000000000) 8 (-5379805433102) (-5379805432941),
  mkLog (7922400748376764230041866496257995444041843/100000000000000000000000000000000000000000000000) 14 (-9443231180423) (-9443231180142),
  mkLog (230435893908488472437298995622006504555958157/50000000000000000000000000000000000000000000000) 8 (-5379805578270) (-5379805578109),
  mkLog (31940367077494982603753341434719/500000000000000000000000000000000000) 14 (-9658492742104) (-9658492741823),
  mkLog (9662093543/500000000000) 6 (-3946397750862) (-3946397750741),
  mkLog (38961781968803651681205416011778119419/500000000000000000000000000000000000000000000000) 34 (-23275292719564) (-23275292718883),
  mkLog (18938022219658687333829478866230488221880581/250000000000000000000000000000000000000000000000) 14 (-9488044538141) (-9488044537860),
  mkLog (31680801342309974503683201229881/250000000000000000000000000000000000) 13 (-8973505335453) (-8973505335192),
  mkLog (38686265793923754177552748684111654041/500000000000000000000000000000000000000000000000) 34 (-23282389287709) (-23282389287028),
  mkLog (18804109513053651924031857456080815888345959/250000000000000000000000000000000000000000000000) 14 (-9495140759917) (-9495140759636),
  mkLog (657861659/1000000000000) 11 (-7326515893535) (-7326515893314)]

private def refs0 : List (Bool × Fin 471) :=
[(false,0),
  (false,1),
  (false,2),
  (false,3),
  (false,4),
  (false,5),
  (false,6),
  (false,7),
  (false,8),
  (false,0),
  (true,0),
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  (false,9),
  (false,10),
  (false,10),
  (true,1),
  (false,11),
  (false,12),
  (false,13),
  (false,14),
  (false,15),
  (false,16),
  (false,17),
  (false,18),
  (false,19),
  (false,20),
  (true,2),
  (false,21),
  (false,22),
  (false,23),
  (false,24),
  (false,25),
  (false,26),
  (false,27),
  (false,28),
  (false,29),
  (false,30),
  (false,31),
  (false,32),
  (false,33),
  (false,34),
  (false,26),
  (false,35),
  (true,3),
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  (false,37),
  (false,38),
  (false,39),
  (false,40),
  (false,41),
  (false,42),
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  (false,44),
  (false,45),
  (false,46),
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  (false,50),
  (false,51),
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  (false,53),
  (true,4),
  (false,54),
  (false,55),
  (false,56),
  (false,57),
  (false,58),
  (false,59),
  (false,60),
  (false,61),
  (false,62),
  (false,56),
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  (false,62),
  (false,64),
  (false,65),
  (false,66),
  (false,67),
  (true,5),
  (false,68),
  (false,69),
  (false,70),
  (false,71),
  (false,72),
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  (false,77),
  (true,6),
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  (false,78),
  (true,7),
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  (true,8),
  (true,8),
  (false,8),
  (true,79),
  (true,79),
  (true,79),
  (true,79),
  (false,80),
  (true,81),
  (true,82),
  (true,83),
  (true,84),
  (true,85),
  (true,86),
  (true,87),
  (true,88),
  (true,89),
  (true,90),
  (false,91),
  (true,92),
  (true,93),
  (true,94),
  (true,95),
  (true,96),
  (true,97),
  (true,98),
  (true,99),
  (true,100),
  (true,94),
  (true,94),
  (true,100),
  (true,101),
  (true,102),
  (true,103),
  (true,104),
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  (true,106),
  (true,107),
  (true,108),
  (true,109),
  (true,110),
  (true,109),
  (true,111),
  (true,112),
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  (true,115),
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  (true,116),
  (true,109),
  (true,117),
  (true,118),
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  (true,120),
  (true,121),
  (false,122),
  (true,123),
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  (true,125),
  (true,126),
  (true,127),
  (true,128),
  (true,129),
  (true,125),
  (true,130),
  (true,131),
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  (true,133),
  (true,134),
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  (true,137),
  (true,138),
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  (true,140),
  (true,141),
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  (true,143),
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  (true,148),
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  (true,150),
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  (true,161),
  (true,162),
  (true,163),
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  (false,165),
  (true,166),
  (true,167),
  (true,168),
  (true,169),
  (true,170),
  (true,171),
  (true,171),
  (true,170),
  (true,172),
  (true,170),
  (true,173),
  (true,174),
  (true,175),
  (true,176),
  (true,171),
  (true,177),
  (false,178),
  (true,179),
  (true,180),
  (true,181),
  (true,182),
  (true,183),
  (true,184),
  (true,181),
  (true,185),
  (true,186),
  (true,187),
  (true,188),
  (true,189),
  (true,190),
  (true,182),
  (true,191),
  (true,192),
  (true,190),
  (true,193),
  (true,194),
  (false,195),
  (true,196),
  (true,197),
  (true,198),
  (true,199),
  (true,200),
  (true,201),
  (true,202),
  (true,203),
  (true,202),
  (true,198),
  (true,197),
  (true,202),
  (true,204),
  (true,205),
  (true,206),
  (true,207),
  (false,208),
  (true,209),
  (true,210),
  (true,211),
  (true,212),
  (true,213),
  (true,214),
  (true,215),
  (true,216),
  (true,217),
  (true,218),
  (false,219),
  (true,220),
  (true,220),
  (true,220),
  (true,220),
  (false,221)]

private def refs1 : List (Bool × Fin 471) :=
[(false,222),
  (false,223),
  (false,224),
  (false,225),
  (false,226),
  (false,227),
  (false,228),
  (false,229),
  (false,230),
  (false,222),
  (true,222),
  (false,231),
  (false,231),
  (false,232),
  (false,232),
  (true,223),
  (false,233),
  (false,234),
  (false,235),
  (false,236),
  (false,237),
  (false,238),
  (false,239),
  (false,240),
  (false,241),
  (false,242),
  (true,224),
  (false,243),
  (false,244),
  (false,245),
  (false,246),
  (false,247),
  (false,248),
  (false,249),
  (false,250),
  (false,251),
  (false,247),
  (false,252),
  (false,253),
  (false,254),
  (false,249),
  (false,248),
  (false,255),
  (true,225),
  (false,256),
  (false,257),
  (false,258),
  (false,259),
  (false,260),
  (false,261),
  (false,258),
  (false,262),
  (false,263),
  (false,264),
  (false,265),
  (false,266),
  (false,267),
  (false,268),
  (false,269),
  (false,261),
  (false,270),
  (false,271),
  (false,272),
  (true,226),
  (false,273),
  (false,274),
  (false,275),
  (false,276),
  (false,277),
  (false,278),
  (false,279),
  (false,280),
  (false,281),
  (false,282),
  (false,282),
  (false,279),
  (false,283),
  (false,284),
  (false,285),
  (false,286),
  (true,227),
  (false,287),
  (false,288),
  (false,289),
  (false,290),
  (false,291),
  (false,292),
  (false,293),
  (false,294),
  (false,295),
  (false,296),
  (true,228),
  (false,297),
  (false,297),
  (false,297),
  (false,297),
  (true,229),
  (false,230),
  (true,230),
  (true,230),
  (false,230),
  (true,298),
  (true,298),
  (true,298),
  (true,298),
  (false,299),
  (true,300),
  (true,301),
  (true,302),
  (true,303),
  (true,304),
  (true,305),
  (true,306),
  (true,307),
  (true,308),
  (true,309),
  (false,310),
  (true,311),
  (true,312),
  (true,313),
  (true,314),
  (true,315),
  (true,316),
  (true,317),
  (true,318),
  (true,317),
  (true,312),
  (true,312),
  (true,317),
  (true,319),
  (true,320),
  (true,321),
  (true,322),
  (false,323),
  (true,324),
  (true,325),
  (true,326),
  (true,327),
  (true,328),
  (true,329),
  (true,326),
  (true,330),
  (true,331),
  (true,332),
  (true,333),
  (true,334),
  (true,335),
  (true,336),
  (true,337),
  (true,329),
  (true,335),
  (true,338),
  (true,339),
  (false,340),
  (true,341),
  (true,342),
  (true,343),
  (true,344),
  (true,345),
  (true,346),
  (true,347),
  (true,345),
  (true,348),
  (true,345),
  (true,349),
  (true,350),
  (true,351),
  (true,347),
  (true,346),
  (true,352),
  (false,353),
  (true,354),
  (true,355),
  (true,356),
  (true,357),
  (true,358),
  (true,359),
  (true,360),
  (true,361),
  (true,362),
  (true,363),
  (false,364),
  (true,220),
  (true,220),
  (true,220),
  (true,220),
  (false,221),
  (true,8),
  (false,8),
  (true,365),
  (true,365),
  (true,365),
  (true,365),
  (false,366),
  (true,367),
  (true,368),
  (true,369),
  (true,370),
  (true,371),
  (true,372),
  (true,373),
  (true,374),
  (true,375),
  (true,376),
  (false,377),
  (true,378),
  (true,379),
  (true,379),
  (true,380),
  (true,381),
  (true,382),
  (true,383),
  (true,384),
  (true,385),
  (true,386),
  (true,386),
  (true,383),
  (true,387),
  (true,388),
  (true,389),
  (true,390),
  (false,391),
  (true,392),
  (true,393),
  (true,394),
  (true,395),
  (true,396),
  (true,395),
  (true,394),
  (true,397),
  (true,398),
  (true,399),
  (true,400),
  (true,401),
  (true,402),
  (true,395),
  (true,403),
  (true,395),
  (true,404),
  (true,405),
  (true,406),
  (false,407),
  (true,408),
  (true,408),
  (true,409),
  (true,410),
  (true,409),
  (true,411),
  (true,411),
  (true,412),
  (true,413),
  (true,409),
  (true,414),
  (true,415),
  (true,416),
  (true,411),
  (true,411),
  (true,417),
  (false,418),
  (true,419),
  (true,420),
  (true,421),
  (true,422),
  (true,423),
  (true,424),
  (true,425),
  (true,426),
  (true,427),
  (true,428),
  (false,429),
  (true,430),
  (true,430),
  (true,430),
  (true,430),
  (false,431),
  (true,150),
  (false,150),
  (true,432),
  (false,432),
  (true,433),
  (true,433),
  (true,434),
  (true,434),
  (false,435),
  (true,436),
  (true,437),
  (true,436),
  (true,438),
  (true,438),
  (true,439),
  (true,438),
  (true,438),
  (true,440),
  (true,439),
  (false,441),
  (true,442),
  (true,442),
  (true,443),
  (true,444),
  (true,443),
  (true,445),
  (true,445),
  (true,443),
  (true,444),
  (true,443),
  (true,446),
  (true,446),
  (true,447),
  (true,445),
  (true,445),
  (true,447),
  (false,448),
  (true,449),
  (true,450),
  (true,450),
  (true,451),
  (true,452),
  (true,451),
  (true,450),
  (true,450),
  (true,453),
  (true,454),
  (true,453),
  (true,455),
  (true,455),
  (true,451),
  (true,452),
  (true,451),
  (true,455),
  (true,455),
  (true,456),
  (false,457),
  (true,458),
  (true,459),
  (true,459),
  (true,458),
  (true,460),
  (true,460),
  (true,461),
  (true,462),
  (true,461),
  (true,459),
  (true,459),
  (true,461),
  (true,462),
  (true,461),
  (true,463),
  (true,463),
  (false,464),
  (true,465),
  (true,466),
  (true,467),
  (true,467),
  (true,465),
  (true,467),
  (true,467),
  (true,468),
  (true,469),
  (true,468),
  (false,470)]

def entriesOwner4 (i : Fin 2) : List Entry :=
  ((![(refs0),(refs1)] i).map (fun p ↦
    let e := logTable p.2
    ((if p.1 then e.1.1 else -e.1.1,e.1.2),e.2)))

end MME.ReleasedGlobalYZ
Source
Exact released global candidate from primitive seed f8187420c24231b83d9d1fb7b327fee76cd50ada0af0525e77b3d3b0d8f4d4e6.

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