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Exact global Y/Z certificate: logs 0

Definition
mme_released_global_yz_logs_0

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 472 → Entry :=
![mkLog (23074029039/1000000000000) 6 (-3769047578023) (-3769047577902),
  mkLog (14234458127/125000000000) 4 (-2172648083583) (-2172648083502),
  mkLog (72399479961/250000000000) 2 (-1239261801376) (-1239261801335),
  mkLog (176379411787/500000000000) 2 (-1041970674907) (-1041970674866),
  mkLog (95040673403/500000000000) 3 (-1660303157394) (-1660303157333),
  mkLog (1445962827/50000000000) 6 (-3543247589552) (-3543247589431),
  mkLog (165971607/100000000000) 10 (-6401108733513) (-6401108733312),
  mkLog (33123453/1000000000000) 15 (-10315268976787) (-10315268976486),
  mkLog (59829/500000000000) 23 (-15938628163379) (-15938628162918),
  mkLog (3558614526243534456241460758266737/125000000000000000000000000000000000) 6 (-3558942446270) (-3558942446149),
  mkLog (3558614537256465543758539241733263/125000000000000000000000000000000000) 6 (-3558942443175) (-3558942443054),
  mkLog (1731632636998002155119472948883415228611635041/1000000000000000000000000000000000000000000000000) 10 (-6358690594790) (-6358690594589),
  mkLog (24916403720635822790620557597672474771388364959/500000000000000000000000000000000000000000000000) 5 (-2999081727944) (-2999081727843),
  mkLog (1731632637117159997518472948883415228611635041/1000000000000000000000000000000000000000000000000) 10 (-6358690594721) (-6358690594520),
  mkLog (91502887979469448946966847407332743/2000000000000000000000000000000000000) 5 (-3084531925192) (-3084531925091),
  mkLog (91502887979629125981850847407332743/2000000000000000000000000000000000000) 5 (-3084531925191) (-3084531925090),
  mkLog (34632656687634435134207516025430244142935187/20000000000000000000000000000000000000000000000) 10 (-6358690480803) (-6358690480602),
  mkLog (91502887978627213304008847407332743/2000000000000000000000000000000000000) 5 (-3084531925202) (-3084531925101),
  mkLog (91502887978839848272576847407332743/2000000000000000000000000000000000000) 5 (-3084531925199) (-3084531925098),
  mkLog (498328055016076620443404924896797095857064813/10000000000000000000000000000000000000000000000) 5 (-2999081766867) (-2999081766766),
  mkLog (34632656686819804247367516025430244142935187/20000000000000000000000000000000000000000000000) 10 (-6358690480826) (-6358690480625),
  mkLog (2314271169379555322180636049588671/1000000000000000000000000000000000000) 9 (-6068660470746) (-6068660470565),
  mkLog (2314271169403199671010636049588671/1000000000000000000000000000000000000) 9 (-6068660470736) (-6068660470555),
  mkLog (5487105344541680581985021407169062703385793391/2000000000000000000000000000000000000000000000000) 9 (-5898501602808) (-5898501602627),
  mkLog (80388330836831582415388177163082770796614206609/1000000000000000000000000000000000000000000000000) 4 (-2520886252217) (-2520886252136),
  mkLog (5487105227315004778949758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5898501624172) (-5898501623991),
  mkLog (5487105227295925773677758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5898501624176) (-5898501623995),
  mkLog (5487105344551220084621021407169062703385793391/2000000000000000000000000000000000000000000000000) 9 (-5898501602806) (-5898501602625),
  mkLog (80388330845447184150016177163082770796614206609/1000000000000000000000000000000000000000000000000) 4 (-2520886252110) (-2520886252029),
  mkLog (80388359412669047715743159993598014317519973899/1000000000000000000000000000000000000000000000000) 4 (-2520885896745) (-2520885896664),
  mkLog (80388359405802852881675159993598014317519973899/1000000000000000000000000000000000000000000000000) 4 (-2520885896830) (-2520885896749),
  mkLog (2314239795326541612995247006846223/1000000000000000000000000000000000000) 9 (-6068674027613) (-6068674027432),
  mkLog (5487105227305465276313758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5898501624174) (-5898501623993),
  mkLog (5487105227467555058021758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5898501624144) (-5898501623963),
  mkLog (2314239795355160120903247006846223/1000000000000000000000000000000000000) 9 (-6068674027600) (-6068674027419),
  mkLog (96394189003668980477763514060327/1000000000000000000000000000000000000) 14 (-9247064638351) (-9247064638070),
  mkLog (15759270396838251164144937298039571/4000000000000000000000000000000000000) 8 (-5536620851442) (-5536620851281),
  mkLog (15759270395477663475184937298039571/4000000000000000000000000000000000000) 8 (-5536620851528) (-5536620851367),
  mkLog (24317804203136367142424693405524913034703629908061769317/250000000000000000000000000000000000000000000000000000000000) 14 (-9238007431664) (-9238007431383),
  mkLog (509933109900027399529317668089969104119945769091938230683/125000000000000000000000000000000000000000000000000000000000) 8 (-5501789456308) (-5501789456147),
  mkLog (24317804184455968038424693405524913034703629908061769317/250000000000000000000000000000000000000000000000000000000000) 14 (-9238007432432) (-9238007432151),
  mkLog (15759270396716523851504937298039571/4000000000000000000000000000000000000) 8 (-5536620851449) (-5536620851288),
  mkLog (15759270397233516563056937298039571/4000000000000000000000000000000000000) 8 (-5536620851417) (-5536620851256),
  mkLog (509933125678131009995754671750259730040909598966938230683/125000000000000000000000000000000000000000000000000000000000) 8 (-5501789425366) (-5501789425205),
  mkLog (8853941904344687710798350780285217440304441002033061769317/62500000000000000000000000000000000000000000000000000000000) 3 (-1954303784000) (-1954303783939),
  mkLog (509933125058487529191754671750259730040909598966938230683/125000000000000000000000000000000000000000000000000000000000) 8 (-5501789426581) (-5501789426420),
  mkLog (1969908986553695570218706904381173/500000000000000000000000000000000000) 8 (-5536620756539) (-5536620756378),
  mkLog (1969908986623246546074706904381173/500000000000000000000000000000000000) 8 (-5536620756504) (-5536620756343),
  mkLog (509933110373296079645317668089969104119945769091938230683/125000000000000000000000000000000000000000000000000000000000) 8 (-5501789455380) (-5501789455219),
  mkLog (1969908986541160726266706904381173/500000000000000000000000000000000000) 8 (-5536620756546) (-5536620756385),
  mkLog (1969908986509945483210706904381173/500000000000000000000000000000000000) 8 (-5536620756562) (-5536620756401),
  mkLog (96395223203745806974078936355179/1000000000000000000000000000000000000) 14 (-9247053909545) (-9247053909264),
  mkLog (85339278568729277627633993563669/500000000000000000000000000000000000) 13 (-8675728553424) (-8675728553163),
  mkLog (378531942111963691207750565847681743128215547/2000000000000000000000000000000000000000000000000) 13 (-8572357278026) (-8572357277765),
  mkLog (378531941989333333447750565847681743128215547/2000000000000000000000000000000000000000000000000) 13 (-8572357278350) (-8572357278089),
  mkLog (85339278561683515504633993563669/500000000000000000000000000000000000) 13 (-8675728553506) (-8675728553245),
  mkLog (6680603281327045707503787459993766756871784453/1000000000000000000000000000000000000000000000000) 8 (-5008546984016) (-5008546983855),
  mkLog (6680603275409043910939787459993766756871784453/1000000000000000000000000000000000000000000000000) 8 (-5008546984902) (-5008546984741),
  mkLog (378531997225090791696855672521036187175236591/2000000000000000000000000000000000000000000000000) 13 (-8572357132429) (-8572357132168),
  mkLog (6680603542239574526381266097442592812824763409/1000000000000000000000000000000000000000000000000) 8 (-5008546944961) (-5008546944800),
  mkLog (378531997206017328100855672521036187175236591/2000000000000000000000000000000000000000000000000) 13 (-8572357132479) (-8572357132218),
  mkLog (378531942121664710275750565847681743128215547/2000000000000000000000000000000000000000000000000) 13 (-8572357278000) (-8572357277739),
  mkLog (378531942121401850643750565847681743128215547/2000000000000000000000000000000000000000000000000) 13 (-8572357278001) (-8572357277740),
  mkLog (6680603540788812748261266097442592812824763409/1000000000000000000000000000000000000000000000000) 8 (-5008546945178) (-5008546945017),
  mkLog (341357907408470239274144434135169/2000000000000000000000000000000000000) 13 (-8675726229955) (-8675726229694),
  mkLog (341357907353418440450144434135169/2000000000000000000000000000000000000) 13 (-8675726230116) (-8675726229855),
  mkLog (411911556861734438543011264641168117728253/50000000000000000000000000000000000000000000000) 17 (-11706724905070) (-11706724904729),
  mkLog (5876978343878483648226968664779631882271747/25000000000000000000000000000000000000000000000) 13 (-8355588361252) (-8355588360990),
  mkLog (144603237807338007734926425884257/500000000000000000000000000000000000) 12 (-8148369676576) (-8148369676335),
  mkLog (144603237828070372394426425884257/500000000000000000000000000000000000) 12 (-8148369676433) (-8148369676192),
  mkLog (411911562392695070893011264641168117728253/50000000000000000000000000000000000000000000000) 17 (-11706724891643) (-11706724891302),
  mkLog (144603237746564770353426425884257/500000000000000000000000000000000000) 12 (-8148369676996) (-8148369676755),
  mkLog (144603237832578353342426425884257/500000000000000000000000000000000000) 12 (-8148369676402) (-8148369676161),
  mkLog (823386264367729436462166142441070784137899/100000000000000000000000000000000000000000000000) 17 (-11707255316531) (-11707255316190),
  mkLog (11743342302781381979077303645014529215862101/50000000000000000000000000000000000000000000000) 13 (-8356491817066) (-8356491816804),
  mkLog (823386273136412228562166142441070784137899/100000000000000000000000000000000000000000000000) 17 (-11707255305881) (-11707255305540),
  mkLog (33123453/4000000000000) 17 (-11701563337927) (-11701563337586),
  mkLog (16430609/4000000000000) 18 (-12402658921561) (-12402658921200),
  mkLog (16430609/1000000000000) 16 (-11016364560421) (-11016364560100),
  mkLog (1949730570549078743/500000000000000000000000) 18 (-12454672183506) (-12454672183145),
  mkLog (88507457995087282651/1000000000000000000000000) 14 (-9332423738511) (-9332423738230),
  mkLog (15222885775575001427/200000000000000000000000) 14 (-9483272707033) (-9483272706752),
  mkLog (15222885777563531583/200000000000000000000000) 14 (-9483272706903) (-9483272706622),
  mkLog (974865322310913527/250000000000000000000000) 18 (-12454672145514) (-12454672145153),
  mkLog (38057214358650598519/500000000000000000000000) 14 (-9483272709143) (-9483272708862),
  mkLog (38057214443163130149/500000000000000000000000) 14 (-9483272706922) (-9483272706641),
  mkLog (3900970576175070023/1000000000000000000000000) 18 (-12454285170286) (-12454285169925),
  mkLog (11070812759036101543/125000000000000000000000) 14 (-9331756852433) (-9331756852152),
  mkLog (1950485278393450501/500000000000000000000000) 18 (-12454285175256) (-12454285174895),
  mkLog (497132539/1000000000000) 11 (-7606653889463) (-7606653889242),
  mkLog (882717695234093317/15625000000000000000000) 15 (-9781377315199) (-9781377314898),
  mkLog (26195491133253933679/500000000000000000000000) 15 (-9856776075749) (-9856776075448),
  mkLog (26195491100220375653/500000000000000000000000) 15 (-9856776077010) (-9856776076709),
  mkLog (28246966235693286849/500000000000000000000000) 15 (-9781377315617) (-9781377315316),
  mkLog (509247049739107604439/500000000000000000000000) 10 (-6889430115760) (-6889430115559),
  mkLog (509247049871241836543/500000000000000000000000) 10 (-6889430115501) (-6889430115300),
  mkLog (13097744166240060523/250000000000000000000000) 15 (-9856776182667) (-9856776182366),
  mkLog (509247036549279792629/500000000000000000000000) 10 (-6889430141661) (-6889430141460),
  mkLog (5239097666967932181/100000000000000000000000) 15 (-9856776182577) (-9856776182276),
  mkLog (13097745563087657051/250000000000000000000000) 15 (-9856776076019) (-9856776075718),
  mkLog (13097745567806736769/250000000000000000000000) 15 (-9856776075659) (-9856776075358),
  mkLog (101849407193766597463/100000000000000000000000) 10 (-6889430142801) (-6889430142600),
  mkLog (28246918313438750559/500000000000000000000000) 15 (-9781379012163) (-9781379011862),
  mkLog (28246918242652554789/500000000000000000000000) 15 (-9781379014669) (-9781379014368),
  mkLog (2359539859/500000000000) 8 (-5356141473476) (-5356141473315),
  mkLog (699817445174710533/31250000000000000000000) 16 (-10706710425885) (-10706710425564),
  mkLog (12224328035321521647/31250000000000000000000) 12 (-7846346587871) (-7846346587630),
  mkLog (6112164019005101013/15625000000000000000000) 12 (-7846346587651) (-7846346587410),
  mkLog (695210014161846579/31250000000000000000000) 16 (-10713315955740) (-10713315955419),
  mkLog (744859815959863659/1953125000000000000000) 12 (-7871745177851) (-7871745177610),
  mkLog (139042002678730437/6250000000000000000000) 16 (-10713315956845) (-10713315956524),
  mkLog (12224328043771659981/31250000000000000000000) 12 (-7846346587180) (-7846346586939),
  mkLog (12224328037626104829/31250000000000000000000) 12 (-7846346587683) (-7846346587442),
  mkLog (372429902410522473/976562500000000000000) 12 (-7871745192805) (-7871745192564),
  mkLog (117225539296860270111/15625000000000000000000) 8 (-4892527709193) (-4892527709031),
  mkLog (2383551385183412631/6250000000000000000000) 12 (-7871745188712) (-7871745188471),
  mkLog (2444865437600621013/6250000000000000000000) 12 (-7846346657185) (-7846346656944),
  mkLog (305608179652065477/781250000000000000000) 12 (-7846346657343) (-7846346657102),
  mkLog (5958878586445780413/15625000000000000000000) 12 (-7871745167989) (-7871745167748),
  mkLog (3056081796904751967/7812500000000000000000) 12 (-7846346657217) (-7846346656976),
  mkLog (699811969485070101/31250000000000000000000) 16 (-10706718250369) (-10706718250048),
  mkLog (384097197/31250000000) 7 (-4398879017489) (-4398879017348),
  mkLog (13173888525088033413/250000000000000000000000) 15 (-9850979468549) (-9850979468248),
  mkLog (26347777061998241241/500000000000000000000000) 15 (-9850979468100) (-9850979467799),
  mkLog (581819988659001957/12500000000000000000000) 15 (-9975078100372) (-9975078100071),
  mkLog (32388455044117914291/31250000000000000000000) 10 (-6871972621765) (-6871972621564),
  mkLog (11636399955241525131/250000000000000000000000) 15 (-9975078084726) (-9975078084425),
  mkLog (518215280623131407751/500000000000000000000000) 10 (-6871972621925) (-6871972621724),
  mkLog (8097111686828977461/7812500000000000000000) 10 (-6871972877931) (-6871972877730),
  mkLog (518215146171906220839/500000000000000000000000) 10 (-6871972881376) (-6871972881175),
  mkLog (13174018900027482033/250000000000000000000000) 15 (-9850969572132) (-9850969571831),
  mkLog (4654559982569497029/100000000000000000000000) 15 (-9975078084624) (-9975078084323),
  mkLog (2364434883/500000000000) 8 (-5354069055218) (-5354069055057),
  mkLog (21651840837161629/6250000000000000000000) 19 (-12573001543950) (-12573001543569),
  mkLog (3125849249704002463/40000000000000000000000) 14 (-9456928727064) (-9456928726783),
  mkLog (692858930423187693/200000000000000000000000) 19 (-12573001509839) (-12573001509458),
  mkLog (8317543818065598479/100000000000000000000000) 14 (-9394558468037) (-9394558467756),
  mkLog (16635087634220361657/200000000000000000000000) 14 (-9394558468152) (-9394558467871),
  mkLog (692858875109534243/200000000000000000000000) 19 (-12573001589673) (-12573001589292),
  mkLog (83175438079080003/1000000000000000000000) 14 (-9394558469259) (-9394558468978),
  mkLog (831754381695932541/10000000000000000000000) 14 (-9394558468170) (-9394558467889),
  mkLog (15629246646577176597/200000000000000000000000) 14 (-9456928701595) (-9456928701314),
  mkLog (692858872494706989/200000000000000000000000) 19 (-12573001593447) (-12573001593066),
  mkLog (100570279/200000000000) 11 (-7595215869002) (-7595215868781),
  mkLog (16604077/4000000000000) 18 (-12392156651649) (-12392156651288),
  mkLog (16604077/1000000000000) 16 (-11005862290509) (-11005862290188),
  mkLog (120039/1000000000000) 23 (-15935449147197) (-15935449146736),
  mkLog (23073909/1000000000) 6 (-3769052780379) (-3769052780258),
  mkLog (3558095648837284456241460758266737/125000000000000000000000000000000000) 6 (-3559088265727) (-3559088265606),
  mkLog (3558095659850215543758539241733263/125000000000000000000000000000000000) 6 (-3559088262632) (-3559088262511),
  mkLog (113859060939/1000000000000) 4 (-2172793903040) (-2172793902959),
  mkLog (1728168342464056294479472948883415228611635041/1000000000000000000000000000000000000000000000000) 10 (-6360693193039) (-6360693192838),
  mkLog (24877330605014522759833057597672474771388364959/500000000000000000000000000000000000000000000000) 5 (-3000651127153) (-3000651127052),
  mkLog (1728168342465044059053472948883415228611635041/1000000000000000000000000000000000000000000000000) 10 (-6360693193038) (-6360693192837),
  mkLog (91336537103108136977386847407332743/2000000000000000000000000000000000000) 5 (-3086351564717) (-3086351564616),
  mkLog (91336537103286922365280847407332743/2000000000000000000000000000000000000) 5 (-3086351564715) (-3086351564614),
  mkLog (34563370800123481709907516025430244142935187/20000000000000000000000000000000000000000000000) 10 (-6360693078732) (-6360693078531),
  mkLog (91336537102469053298008847407332743/2000000000000000000000000000000000000) 5 (-3086351564724) (-3086351564623),
  mkLog (91336537102500661764376847407332743/2000000000000000000000000000000000000) 5 (-3086351564723) (-3086351564622),
  mkLog (497546592683747761613554924896797095857064813/10000000000000000000000000000000000000000000000) 5 (-3000651166178) (-3000651166077),
  mkLog (34563370799570333548467516025430244142935187/20000000000000000000000000000000000000000000000) 10 (-6360693078748) (-6360693078547),
  mkLog (289095068449/1000000000000) 2 (-1240999688414) (-1240999688373),
  mkLog (2261575615279203188528636049588671/1000000000000000000000000000000000000) 9 (-6091693533800) (-6091693533619),
  mkLog (5394014146356240268865021407169062703385793391/2000000000000000000000000000000000000000000000000) 9 (-5915612612309) (-5915612612128),
  mkLog (79351900275419809158076177163082770796614206609/1000000000000000000000000000000000000000000000000) 4 (-2533862884317) (-2533862884236),
  mkLog (5394014027673072577901758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5915612634312) (-5915612634131),
  mkLog (5394014027653993572629758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5915612634316) (-5915612634135),
  mkLog (5394014146365779771501021407169062703385793391/2000000000000000000000000000000000000000000000000) 9 (-5915612612308) (-5915612612127),
  mkLog (79351900284200921334514177163082770796614206609/1000000000000000000000000000000000000000000000000) 4 (-2533862884206) (-2533862884125),
  mkLog (79351929116754938600735159993598014317519973899/1000000000000000000000000000000000000000000000000) 4 (-2533862520856) (-2533862520775),
  mkLog (79351929113459040439997159993598014317519973899/1000000000000000000000000000000000000000000000000) 4 (-2533862520897) (-2533862520816),
  mkLog (2261543719726431684863247006846223/1000000000000000000000000000000000000) 9 (-6091707637144) (-6091707636963),
  mkLog (5394014027663533075265758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5915612634314) (-5915612634133),
  mkLog (5394014027816165117441758379715258182480026101/2000000000000000000000000000000000000000000000000) 9 (-5915612634286) (-5915612634105),
  mkLog (2261543719755050192771247006846223/1000000000000000000000000000000000000) 9 (-6091707637131) (-6091707636950),
  mkLog (21751872113/62500000000) 2 (-1055466728772) (-1055466728731),
  mkLog (74000030758078243421763514060327/1000000000000000000000000000000000000) 14 (-9511445049252) (-9511445048971),
  mkLog (14194556408317096393328937298039571/4000000000000000000000000000000000000) 9 (-5641191100611) (-5641191100430),
  mkLog (14194556406612357615856937298039571/4000000000000000000000000000000000000) 9 (-5641191100731) (-5641191100550),
  mkLog (18756124089841594510424693405524913034703629908061769317/250000000000000000000000000000000000000000000000000000000000) 14 (-9497695879772) (-9497695879491),
  mkLog (462262081678596125353317668089969104119945769091938230683/125000000000000000000000000000000000000000000000000000000000) 9 (-5599937009774) (-5599937009592),
  mkLog (18756124077306750558424693405524913034703629908061769317/250000000000000000000000000000000000000000000000000000000000) 14 (-9497695880441) (-9497695880160),
  mkLog (14194556407113751373936937298039571/4000000000000000000000000000000000000) 9 (-5641191100696) (-5641191100514),
  mkLog (14194556408417375144944937298039571/4000000000000000000000000000000000000) 9 (-5641191100604) (-5641191100423),
  mkLog (462262098169584133451754671750259730040909598966938230683/125000000000000000000000000000000000000000000000000000000000) 9 (-5599936974099) (-5599936973918),
  mkLog (8385039747157246630354350780285217440304441002033061769317/62500000000000000000000000000000000000000000000000000000000) 3 (-2008717421240) (-2008717421179),
  mkLog (462262097354819276571754671750259730040909598966938230683/125000000000000000000000000000000000000000000000000000000000) 9 (-5599936975862) (-5599936975680),
  mkLog (1774319751545645889178706904381173/500000000000000000000000000000000000) 9 (-5641190987606) (-5641190987425),
  mkLog (1774319751645924640794706904381173/500000000000000000000000000000000000) 9 (-5641190987550) (-5641190987369),
  mkLog (462262081681729836341317668089969104119945769091938230683/125000000000000000000000000000000000000000000000000000000000) 9 (-5599937009767) (-5599937009585),
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  mkLog (203915289931126821813/500000000000000000000000) 12 (-7804658715355) (-7804658715114),
  mkLog (205955935666774863719/500000000000000000000000) 12 (-7794701136147) (-7794701135906),
  mkLog (749063329668374003927/100000000000000000000000) 8 (-4894101932814) (-4894101932652),
  mkLog (205955932433043266003/500000000000000000000000) 12 (-7794701151848) (-7794701151607),
  mkLog (203915285331206293279/500000000000000000000000) 12 (-7804658737913) (-7804658737672),
  mkLog (50978821371969833951/125000000000000000000000) 12 (-7804658737145) (-7804658736904),
  mkLog (10948750100267013973/500000000000000000000000) 16 (-10729138073913) (-10729138073592),
  mkLog (12872245636451148459/31250000000000000000000) 12 (-7794701162772) (-7794701162531),
  mkLog (101957642750206589603/250000000000000000000000) 12 (-7804658737083) (-7804658736842),
  mkLog (50978821359435990549/125000000000000000000000) 12 (-7804658737391) (-7804658737150),
  mkLog (11331997931323704053/500000000000000000000000) 16 (-10694732978149) (-10694732977828),
  mkLog (6266921701/500000000000) 7 (-4379322821185) (-4379322821044),
  mkLog (133575687217067557/2500000000000000000000) 15 (-9837133027356) (-9837133027055),
  mkLog (6678784343493979851/125000000000000000000000) 15 (-9837133029955) (-9837133029654),
  mkLog (238416145634615461/5000000000000000000000) 15 (-9950930812674) (-9950930812373),
  mkLog (131050407124154202867/125000000000000000000000) 10 (-6860486979989) (-6860486979788),
  mkLog (238416120493418359/5000000000000000000000) 15 (-9950930918125) (-9950930917824),
  mkLog (65525203567165200847/62500000000000000000000) 10 (-6860486979911) (-6860486979710),
  mkLog (131050433781006330159/125000000000000000000000) 10 (-6860486776580) (-6860486776379),
  mkLog (65525216895591264493/62500000000000000000000) 10 (-6860486776502) (-6860486776301),
  mkLog (6678726923394198607/125000000000000000000000) 15 (-9837141627380) (-9837141627079),
  mkLog (3339363464390798993/62500000000000000000000) 15 (-9837141626574) (-9837141626272),
  mkLog (598599931/125000000000) 8 (-5341475536216) (-5341475536055),
  mkLog (3667922265084119493/1000000000000000000000000) 19 (-12515885196711) (-12515885196330),
  mkLog (39412195839899649481/500000000000000000000000) 14 (-9448288070055) (-9448288069774),
  mkLog (1833961132287636253/500000000000000000000000) 19 (-12515885196850) (-12515885196468),
  mkLog (84131634599034825913/1000000000000000000000000) 14 (-9383127907289) (-9383127907008),
  mkLog (42065817309439929203/500000000000000000000000) 14 (-9383127907053) (-9383127906772),
  mkLog (1833960352734052169/500000000000000000000000) 19 (-12515885621916) (-12515885621534),
  mkLog (2629113583589157093/31250000000000000000000) 14 (-9383127906387) (-9383127906106),
  mkLog (84131634598017131939/1000000000000000000000000) 14 (-9383127907301) (-9383127907020),
  mkLog (39412185442120317123/500000000000000000000000) 14 (-9448288333877) (-9448288333596),
  mkLog (3667920710047727221/1000000000000000000000000) 19 (-12515885620667) (-12515885620285),
  mkLog (508846987/1000000000000) 11 (-7583363201650) (-7583363201429),
  mkLog (8364401/2000000000000) 18 (-12384673014721) (-12384673014360),
  mkLog (8364401/500000000000) 16 (-10998378653581) (-10998378653260),
  mkLog (2846509801/125000000000) 6 (-3782220124784) (-3782220124663),
  mkLog (56796002791508866178586917282841879/2000000000000000000000000000000000000) 6 (-3561436509741) (-3561436509620),
  mkLog (56796252550491133821413082717158121/2000000000000000000000000000000000000) 6 (-3561432112276) (-3561432112155),
  mkLog (56796127671/500000000000) 4 (-2175139949866) (-2175139949785),
  mkLog (1619759058512158590059547473710229267942254307/1000000000000000000000000000000000000000000000000) 10 (-6425477870214) (-6425477870013),
  mkLog (24973957302273851696756445884969230232057745693/500000000000000000000000000000000000000000000000) 5 (-2996774524469) (-2996774524368),
  mkLog (91237832833884531681468620241808523/2000000000000000000000000000000000000) 5 (-3087432814827) (-3087432814726),
  mkLog (1619758238416784013237563593563294455663444627/1000000000000000000000000000000000000000000000000) 10 (-6425478376521) (-6425478376320),
  mkLog (24973941494912674018477822805948723044336555373/500000000000000000000000000000000000000000000000) 5 (-2996775157423) (-2996775157322),
  mkLog (4513289029/15625000000) 2 (-1241846033197) (-1241846033156),
  mkLog (2209496640745955122034186422999273/1000000000000000000000000000000000000) 9 (-6114990553854) (-6114990553673),
  mkLog (1305104333366953768130418613573321667842747463/500000000000000000000000000000000000000000000000) 9 (-5948325111994) (-5948325111813),
  mkLog (19626198765580540013240807096135765207157252537/250000000000000000000000000000000000000000000000) 4 (-2544595572504) (-2544595572423),
  mkLog (1044083628895673015195877498453040121737933109/400000000000000000000000000000000000000000000000) 9 (-5948324956641) (-5948324956460),
  mkLog (15700954359137597020851484982652941278262066891/200000000000000000000000000000000000000000000000) 4 (-2544595868876) (-2544595868795),
  mkLog (883809967119087828897639333053789/400000000000000000000000000000000000) 9 (-6114977755975) (-6114977755794),
  mkLog (343738847789/1000000000000) 2 (-1067873073344) (-1067873073303),
  mkLog (53441129431452223966644332235429/1000000000000000000000000000000000000) 15 (-9836929894540) (-9836929894239),
  mkLog (5930247593850760121445830059388321/2000000000000000000000000000000000000) 9 (-5820836494738) (-5820836494557),
  mkLog (11894253638300365555741553774118358469652474525140803599/200000000000000000000000000000000000000000000000000000000000) 15 (-9730017249730) (-9730017249427),
  mkLog (290362736816854078195291553307882770538134870674859196401/100000000000000000000000000000000000000000000000000000000000) 9 (-5841794507090) (-5841794506909),
  mkLog (290362727875093292702474542120739438911917818474859196401/100000000000000000000000000000000000000000000000000000000000) 9 (-5841794537885) (-5841794537704),
  mkLog (6461318453948671216921365211005330782080294836325140803599/50000000000000000000000000000000000000000000000000000000000) 3 (-2046189613450) (-2046189613389),
  mkLog (11860495748082238232070334304714791/4000000000000000000000000000000000000) 9 (-5820836447490) (-5820836447309),
  mkLog (53441581206410233573904040111711/1000000000000000000000000000000000000) 15 (-9836921440882) (-9836921440581),
  mkLog (41226659273/250000000000) 3 (-1802375801064) (-1802375801003),
  mkLog (63807411054138250002426269420011/1000000000000000000000000000000000000) 14 (-9659641213778) (-9659641213497),
  mkLog (39613709428441699491635037632896946160601803/500000000000000000000000000000000000000000000000) 14 (-9443188121510) (-9443188121229),
  mkLog (1152169349935665770736355868764000803839398197/250000000000000000000000000000000000000000000000) 8 (-5379814361321) (-5379814361160),
  mkLog (79227442203988734133622069329054399254666133/1000000000000000000000000000000000000000000000000) 14 (-9443187826825) (-9443187826544),
  mkLog (2304339421980338445055971875118532600745333867/500000000000000000000000000000000000000000000000) 8 (-5379814047952) (-5379814047791),
  mkLog (7975811952597188838302777012153/125000000000000000000000000000000000) 14 (-9659655560699) (-9659655560418),
  mkLog (3864751949/200000000000) 6 (-3946419865413) (-3946419865292),
  mkLog (32476500162509091007430419552050358893/125000000000000000000000000000000000000000000000) 32 (-22071062818701) (-22071062818060),
  mkLog (4701901305827779821078707782770697949641107/62500000000000000000000000000000000000000000000) 14 (-9494954875796) (-9494954875515),
  mkLog (507295771172753804098842064381311/4000000000000000000000000000000000000) 13 (-8972710710627) (-8972710710366),
  mkLog (64953188684784300796925317445601063663/250000000000000000000000000000000000000000000000) 32 (-22071059918765) (-22071059918124),
  mkLog (9403828210561205043004514600638179398936337/125000000000000000000000000000000000000000000000) 14 (-9494952153613) (-9494952153332),
  mkLog (657757857/1000000000000) 11 (-7326673692958) (-7326673692737)]

private def refs0 : List (Bool × Fin 472) :=
[(false,0),
  (false,1),
  (false,2),
  (false,3),
  (false,4),
  (false,5),
  (false,6),
  (false,7),
  (false,8),
  (false,0),
  (true,0),
  (false,9),
  (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,23),
  (false,25),
  (false,26),
  (false,27),
  (false,28),
  (false,27),
  (false,29),
  (false,30),
  (false,31),
  (false,32),
  (false,33),
  (false,34),
  (true,3),
  (false,35),
  (false,36),
  (false,37),
  (false,38),
  (false,39),
  (false,40),
  (false,41),
  (false,42),
  (false,43),
  (false,44),
  (false,45),
  (false,46),
  (false,47),
  (false,38),
  (false,48),
  (false,38),
  (false,49),
  (false,50),
  (false,51),
  (true,4),
  (false,52),
  (false,53),
  (false,54),
  (false,55),
  (false,56),
  (false,57),
  (false,58),
  (false,59),
  (false,60),
  (false,61),
  (false,62),
  (false,60),
  (false,63),
  (false,60),
  (false,64),
  (false,65),
  (true,5),
  (false,66),
  (false,67),
  (false,68),
  (false,69),
  (false,70),
  (false,71),
  (false,72),
  (false,73),
  (false,74),
  (false,75),
  (true,6),
  (false,76),
  (false,76),
  (false,76),
  (false,76),
  (true,7),
  (false,8),
  (true,8),
  (true,8),
  (false,8),
  (true,77),
  (true,77),
  (true,77),
  (true,77),
  (false,78),
  (true,79),
  (true,80),
  (true,81),
  (true,82),
  (true,83),
  (true,84),
  (true,85),
  (true,86),
  (true,87),
  (true,88),
  (false,89),
  (true,90),
  (true,91),
  (true,92),
  (true,93),
  (true,94),
  (true,95),
  (true,96),
  (true,97),
  (true,98),
  (true,99),
  (true,100),
  (true,98),
  (true,101),
  (true,98),
  (true,102),
  (true,103),
  (false,104),
  (true,105),
  (true,106),
  (true,107),
  (true,108),
  (true,109),
  (true,110),
  (true,111),
  (true,112),
  (true,113),
  (true,114),
  (true,115),
  (true,116),
  (true,117),
  (true,108),
  (true,118),
  (true,108),
  (true,116),
  (true,119),
  (true,120),
  (false,121),
  (true,122),
  (true,123),
  (true,124),
  (true,125),
  (true,124),
  (true,126),
  (true,126),
  (true,124),
  (true,127),
  (true,124),
  (true,128),
  (true,129),
  (true,130),
  (true,126),
  (true,131),
  (true,130),
  (false,132),
  (true,133),
  (true,134),
  (true,135),
  (true,136),
  (true,137),
  (true,138),
  (true,139),
  (true,140),
  (true,141),
  (true,142),
  (false,143),
  (true,144),
  (true,144),
  (true,144),
  (true,144),
  (false,145),
  (true,146),
  (false,146),
  (true,147),
  (false,147),
  (true,148),
  (true,148),
  (true,149),
  (true,149),
  (false,150),
  (true,151),
  (true,152),
  (true,153),
  (true,154),
  (true,155),
  (true,156),
  (true,157),
  (true,158),
  (true,159),
  (true,160),
  (false,161),
  (true,162),
  (true,162),
  (true,163),
  (true,164),
  (true,163),
  (true,165),
  (true,166),
  (true,167),
  (true,168),
  (true,167),
  (true,169),
  (true,170),
  (true,171),
  (true,172),
  (true,173),
  (true,174),
  (false,175),
  (true,176),
  (true,177),
  (true,178),
  (true,179),
  (true,180),
  (true,181),
  (true,182),
  (true,183),
  (true,184),
  (true,185),
  (true,186),
  (true,187),
  (true,188),
  (true,179),
  (true,189),
  (true,179),
  (true,190),
  (true,191),
  (true,192),
  (false,193),
  (true,194),
  (true,195),
  (true,196),
  (true,197),
  (true,198),
  (true,199),
  (true,200),
  (true,201),
  (true,202),
  (true,203),
  (true,195),
  (true,202),
  (true,204),
  (true,202),
  (true,205),
  (true,206),
  (false,207),
  (true,208),
  (true,209),
  (true,210),
  (true,211),
  (true,212),
  (true,213),
  (true,214),
  (true,215),
  (true,216),
  (true,217),
  (false,218),
  (true,219),
  (true,219),
  (true,219),
  (true,219),
  (false,220)]

private def refs1 : List (Bool × Fin 472) :=
[(false,221),
  (false,222),
  (false,223),
  (false,224),
  (false,225),
  (false,226),
  (false,227),
  (false,228),
  (false,229),
  (false,221),
  (true,221),
  (false,230),
  (false,230),
  (false,231),
  (false,231),
  (true,222),
  (false,232),
  (false,233),
  (false,234),
  (false,235),
  (false,236),
  (false,237),
  (false,238),
  (false,239),
  (false,240),
  (false,241),
  (true,223),
  (false,242),
  (false,243),
  (false,244),
  (false,245),
  (false,244),
  (false,246),
  (false,247),
  (false,244),
  (false,248),
  (false,249),
  (false,250),
  (false,251),
  (false,252),
  (false,253),
  (false,246),
  (false,254),
  (true,224),
  (false,255),
  (false,256),
  (false,257),
  (false,258),
  (false,259),
  (false,258),
  (false,260),
  (false,261),
  (false,262),
  (false,263),
  (false,264),
  (false,265),
  (false,266),
  (false,267),
  (false,268),
  (false,258),
  (false,269),
  (false,270),
  (false,271),
  (true,225),
  (false,272),
  (false,273),
  (false,274),
  (false,275),
  (false,276),
  (false,277),
  (false,278),
  (false,279),
  (false,280),
  (false,281),
  (false,282),
  (false,283),
  (false,284),
  (false,283),
  (false,285),
  (false,285),
  (true,226),
  (false,286),
  (false,287),
  (false,288),
  (false,289),
  (false,290),
  (false,291),
  (false,292),
  (false,293),
  (false,294),
  (false,295),
  (true,227),
  (false,296),
  (false,296),
  (false,296),
  (false,296),
  (true,228),
  (false,229),
  (true,229),
  (true,229),
  (false,229),
  (true,297),
  (true,297),
  (true,297),
  (true,297),
  (false,298),
  (true,299),
  (true,300),
  (true,301),
  (true,302),
  (true,303),
  (true,304),
  (true,305),
  (true,306),
  (true,307),
  (true,308),
  (false,309),
  (true,310),
  (true,311),
  (true,312),
  (true,313),
  (true,314),
  (true,315),
  (true,316),
  (true,317),
  (true,316),
  (true,318),
  (true,319),
  (true,320),
  (true,321),
  (true,320),
  (true,322),
  (true,322),
  (false,323),
  (true,324),
  (true,325),
  (true,326),
  (true,327),
  (true,328),
  (true,327),
  (true,329),
  (true,330),
  (true,331),
  (true,332),
  (true,333),
  (true,334),
  (true,335),
  (true,336),
  (true,337),
  (true,327),
  (true,338),
  (true,339),
  (true,340),
  (false,341),
  (true,342),
  (true,343),
  (true,344),
  (true,345),
  (true,344),
  (true,346),
  (true,347),
  (true,344),
  (true,348),
  (true,349),
  (true,350),
  (true,351),
  (true,352),
  (true,353),
  (true,346),
  (true,354),
  (false,355),
  (true,356),
  (true,357),
  (true,358),
  (true,359),
  (true,360),
  (true,361),
  (true,362),
  (true,363),
  (true,364),
  (true,365),
  (false,366),
  (true,219),
  (true,219),
  (true,219),
  (true,219),
  (false,220),
  (true,8),
  (false,8),
  (true,367),
  (true,367),
  (true,367),
  (true,367),
  (false,368),
  (true,369),
  (true,370),
  (true,371),
  (true,372),
  (true,373),
  (true,374),
  (true,372),
  (true,375),
  (true,376),
  (true,377),
  (false,378),
  (true,379),
  (true,380),
  (true,380),
  (true,381),
  (true,382),
  (true,383),
  (true,384),
  (true,385),
  (true,386),
  (true,387),
  (true,388),
  (true,386),
  (true,389),
  (true,386),
  (true,390),
  (true,390),
  (false,391),
  (true,392),
  (true,393),
  (true,394),
  (true,395),
  (true,396),
  (true,395),
  (true,397),
  (true,394),
  (true,398),
  (true,399),
  (true,400),
  (true,401),
  (true,402),
  (true,403),
  (true,404),
  (true,395),
  (true,405),
  (true,406),
  (true,407),
  (false,408),
  (true,409),
  (true,410),
  (true,411),
  (true,412),
  (true,411),
  (true,413),
  (true,413),
  (true,411),
  (true,414),
  (true,411),
  (true,415),
  (true,416),
  (true,417),
  (true,413),
  (true,413),
  (true,418),
  (false,419),
  (true,420),
  (true,421),
  (true,422),
  (true,423),
  (true,424),
  (true,425),
  (true,426),
  (true,427),
  (true,428),
  (true,429),
  (false,430),
  (true,431),
  (true,431),
  (true,431),
  (true,431),
  (false,432),
  (true,146),
  (false,146),
  (true,433),
  (false,433),
  (true,434),
  (true,434),
  (true,435),
  (true,435),
  (false,436),
  (true,437),
  (true,438),
  (true,437),
  (true,439),
  (true,439),
  (true,440),
  (true,439),
  (true,439),
  (true,441),
  (true,440),
  (false,442),
  (true,443),
  (true,443),
  (true,444),
  (true,445),
  (true,444),
  (true,446),
  (true,446),
  (true,444),
  (true,445),
  (true,444),
  (true,447),
  (true,447),
  (true,448),
  (true,446),
  (true,446),
  (true,448),
  (false,449),
  (true,450),
  (true,451),
  (true,451),
  (true,452),
  (true,453),
  (true,452),
  (true,451),
  (true,451),
  (true,454),
  (true,455),
  (true,454),
  (true,456),
  (true,456),
  (true,452),
  (true,453),
  (true,452),
  (true,456),
  (true,456),
  (true,457),
  (false,458),
  (true,459),
  (true,460),
  (true,460),
  (true,459),
  (true,461),
  (true,461),
  (true,462),
  (true,463),
  (true,462),
  (true,460),
  (true,460),
  (true,462),
  (true,463),
  (true,462),
  (true,464),
  (true,464),
  (false,465),
  (true,466),
  (true,467),
  (true,468),
  (true,468),
  (true,466),
  (true,468),
  (true,468),
  (true,469),
  (true,470),
  (true,469),
  (false,471)]

def entriesOwner0 (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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