This is a list of 6-state TMs producing many ones, found by J.Buntrock and H.Marxen by scanning around 10% of all 6-state TMs with a program from June 2000 to October 2000. The "ones" are computed by the search program & confirmed by an awk-script. The "steps" are computed by the awk-script. [The TMs are named by letters. Some letters are missing.] Long numbers have been broken up after blocks of 50 decimal digits. The TM named k has been confirmed by Chris Thompson. The TM named r has been confirmed by Paul R. Stevens. All other TMs are not yet confirmed independently. Update: At 05-Mar-2001 we added the TM named r, the new champion. At 24-Jul-2001 Paul R. Stevens confirmed the TM named r. At 24-Jun-2002 Clive Tooth also confirmed the TM named r. At 23-May-2006 Pascal Michel confirms TM "o". ------------------------------------------------------------------------------- Name = a ones = 17485734 steps = 95547257425490 ones > 1.7*10^7 steps > 9.5*10^13 A: B1R C0L B: A1L A0R C: D0L Z1R D: E1R D1L E: F0L E0L F: F1R B0L ------------------------------------------------------------------------------- Name = b ones = 36109969 steps = 1137975066814256 ones > 3.6*10^7 steps > 1.1*10^15 A: B1R C0L B: A1L E0R C: D1L F0L D: B0L C1L E: B1R A1R F: B1R Z1R ------------------------------------------------------------------------------- Name = c ones = 36109970 steps = 758650111948072 ones > 3.6*10^7 steps > 7.5*10^14 A: B1R C0L B: A1L E0R C: D1L F1L D: B0L C1L E: B1R A1R F: C0L Z1R ------------------------------------------------------------------------------- Name = d ones = 5234513991 steps = 93943325529148987897 ones > 5.2*10^9 steps > 9.3*10^19 A: B1R B0L B: A1L C1L C: B1L D0R D: Z1R E1R E: F1R A0R F: C0R C1L ------------------------------------------------------------------------------- Name = e ones = 33299939444 steps = 645170016895723065091 ones > 3.3*10^10 steps > 6.4*10^20 A: B1R C1L B: A0L D0L C: A1L Z1R D: B1L E1R E: D0R F0R F: D0R D0L ------------------------------------------------------------------------------- Name = g ones = 11974457230330 steps = 83425527831799543594604927 ones > 1.1*10^13 steps > 8.3*10^25 A: B1R C1L B: A0L D0L C: A1L Z1R D: B1L E1R E: D0R F0R F: F0R D0L ------------------------------------------------------------------------------- Name = i ones = 40740206640846 steps = 5690620927332136555840780353 ones > 4.0*10^13 steps > 5.6*10^27 A: B1R C0L B: A1L D1R C: D1R C1L D: E1R F1L E: A0R B1R F: Z1R D0L ------------------------------------------------------------------------------- Name = j ones = 19897278254930348960 steps = 70696728920379305834526949238681840640 ones > 1.9*10^19 steps > 7.0*10^37 A: B1R C0L B: A1L D1R C: B0L E0L D: A1R B0R E: F1L C1L F: A0L Z1R ------------------------------------------------------------------------------- Name = k ones = 2537699363594175843063 steps = 5366598383321904238506234609927865294538105 ones > 2.5*10^21 steps > 5.3*10^42 A: B1R C0R B: A0L D0R C: D1R Z1R D: E1L D0L E: F1R B1L F: A1R E1R ------------------------------------------------------------------------------- Name = l ones = 674053459597869440302180958706029472567045292431 steps = 20445662987813547445032271285502120167109050805257\ 8349858011913319268311941078386068691975456125 ones > 6.7*10^47 steps > 2.0*10^95 A: B1R C0L B: A1L D1R C: B0L E0L D: A1R B0R E: F1L C1L F: D1R Z1R ------------------------------------------------------------------------------- Name = m ones = 674053459597869440302180958706029472567045292435 steps = 20445662987813547445032271285502120167109050805662\ 2670615599129961081397693314562904094247207786 ones > 6.7*10^47 steps > 2.0*10^95 A: B1R C0L B: A1L D1R C: A1R E0L D: A1R B0R E: F1L C1L F: D1R Z1R ------------------------------------------------------------------------------- Name = n ones = 11859552269941434443520880483433473400317104373023 steps = 32148338295650978364213010236299429178380928678276\ 4000767014214724114665034443320714218872832407426 ones > 1.1*10^49 steps > 3.2*10^98 A: B1R C0L B: A1L D1L C: D1R C0R D: B0L E0R E: C1R F1L F: E1L Z1R ------------------------------------------------------------------------------- Name = o ones = 1428695905960055044759084704924643330653960106385046017928251 ones = 14286959059600550447590847049246433306539601063850\ 46017928251 steps = 61235159751210673438964932437459319689908042408774\ 41410857451638873354942332001291605077665698302625\ 74501041979788910538 ones > 1.4*10^60 steps > 6.1*10^119 A: B1R C0L B: A1L C1R C: A1R D0L D: E1L C1L E: F1R Z1R F: A1R E1R ------------------------------------------------------------------------------- Name = p ones = 69441558520411615332160230918116630617777509486759 steps = 55110057711357154408594711472181577642152931567198\ 93222259440850594125229365163814868343833437414675 ones > 6.9*10^49 steps > 5.5*10^99 A: B1R B0L B: C1L E0R C: E1R D0L D: A1L A1L E: A0R F0R F: E1R Z1R ------------------------------------------------------------------------------- Name = q ones = 64274998051227535695469776160755043010989153278551\ 70536959133437507353044244808535117560064286256132\ 43586337674903467943429977861011988886658563463437\ 53990705472355716843339327220855411138173324715881\ 15033034186820259588954412264291897032325598687906\ 66084171024613514034526228075097980909811777058076\ 23209876505842912575785148112853641673558668815455\ 67602402649906379422604391016484040170146329000486\ 02801665864756772988258936673558219840328796495201\ 2694238177960 steps = 61969130617279552670501360355248793287327735214537\ 54919105585229106350646396917574119825114168659634\ 40141456827197921860692323156750938359644041138366\ 61678944342524156868698654336531743883217356802610\ 83527511266554378325909359045149841689994006957111\ 85195603098108788559277413518728211154006539688440\ 05454219661264208573704707268070188393175469306587\ 39678026925349658079549000111078857321153056184055\ 01219642267288572416630933426095331419009980462138\ 16438484306270817017360536821107171679571822845135\ 00453219230981744907711440646999487680967635172543\ 16940225473934200517589328420136536089028278167049\ 71673972835153235718518861299352034588843419386337\ 26000478355819614372796421067695603413994052957132\ 81013487854045824214506635563314206943459076858209\ 82825565735764474693206456705908967789838591938166\ 47367710651922584013194667654799327518716264070702\ 75141769238870871987634587159926002768295873197702\ 32224396046057929934270855 ones > 6.4*10^462 steps > 6.1*10^925 A: B1R B0L B: C0R B1L C: D1R A0L D: E1L F1L E: A1L D0L F: Z1R E1L ------------------------------------------------------------------------------- Name = r ones = 12914951964730997250673433546819849509549358087128\ 69005395873005091204311405044485024013143268788877\ 96982050179592672794672477591595948221752253054324\ 81859864495796137909683447198447312843568880129905\ 33063069223512777765526485338267097939892666393404\ 33645541695093655408344618435778415742964338602689\ 29575034928793440722283883496539655948945100141899\ 42944746881736756960481303815091265680548717247559\ 30418437122794678536247499891470543037484990932498\ 45855395105658447844504456040960051641314951220524\ 82406177581463473827266448103006672709418626513574\ 98031478037424866640095921801194216728219139588401\ 23231130890028804306931645773916087727281493526404\ 73317019897976560342477660683368440952973000704411\ 85616248748736529970020326673445871378590029099788\ 72928814647043325481327200728882173015355211743620\ 25443804176796589274203597930628676364226731372114\ 6548318330807873 steps = 30023277165235628289551030183413401851477543372467\ 52500373381801735214240760383265881912082978202876\ 69898401786071345848280422383492822716051848585583\ 66815379725143861856173020941548768557007853865875\ 73048574872220400307698440450988713670876150791383\ 11034353164641077919209890837164477363289374225531\ 95512602325117225903457015508730368365463087415599\ 08225161299384258306913786072736707081901605255340\ 77040039226593073997923170154775358629850421712513\ 37852708622311268067797375179003293757852001766679\ 22468399088559203629337677447608701284468834554778\ 06316491601855784426860769027944542798006152693167\ 45282133668991746088610648657418901540119403485757\ 77182530655416326563343142423255924867001185067165\ 81303423271748965426160409797173073716688827281435\ 90463944560592817525404832110930600247465896810879\ 33819123818123362279928399308330859334788531765747\ 02776062858289156568392295963586263654139383856764\ 72805139496555440968845657812274329631996080836809\ 45364210391495849467580065091609857013289970263017\ 08760235500239598119410592142621669614552827244429\ 21741646549436389169711396531689266061170929004858\ 06775661787157523545940490167192780698328665223329\ 23541370293059667996001319376698551683848851474625\ 15209456711061545198683989449088568708224497877455\ 14532043585886615939797639351028965232958039400236\ 73203101744986550732496850436999753711343067328676\ 15814626929272337566201561282692410545484965841096\ 15740312114406110889753498991567148886819523660180\ 86246687712098553077054825367434062671756760070388\ 92211743493263344477313878371402373589871279027828\ 83771982603800651050757929252394534506229992082975\ 79584893448886278127629044163292251815410053522246\ 08455276151338393462312908326694937738095046664312\ 1689746511996847681275076313206 ones > 1.2*10^865 steps > 3.0*10^1730 A: B1R F0L B: C0R D0R C: D1L E1R D: E0L D0L E: A0R C1R F: A1L Z1R ------------------------------------------------------------------------------- $Id: bb-6list,v 1.5 2006/05/23 13:40:16 heiner Exp $