Details Page for 0.1764

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2052
P-Portion Size:   2
Tame?   No

MSV File: q-0.1764.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
7102
10122
22202
61362
110682
2641322
6692602
16345162
391910282
1101820522

(Click on a heap to see details)

Details for Q1634(0.1764):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b3=b, b2c=c, c2=b2, bd=ab, cd=ac, d2=b2, b2e=e, de=ae, e2=b2, b2f=f, df=af, f2=b2, b2g=g, dg=ag, g2=b2, b2h=h, dh=ah, h2=b2, b2i=i, di=ai, i2=b2, b2j=j, dj=aj, j2=b2>

P = {a, b2}

Phi = 1 a a 1 b b ab c c ac d ab2 bc b b ab c c ac abc bc bc e e ae ab2 ab2 be abc bc bc e e ac c be ab b bc bc ab2 ac c c be ab b e e bce bce abce be ac bc ae e e bce bce abce f ce ce c ac ab2 ab2 bc bc f ce ce c ac abce abf af e abc acf af ce ac bce aef e e f bef be c bf bf acf af ab2 f abef be c ef ef acf e bef bcf af abe be g ae e e bef bcf bce cef ef b ab abcef bef abce ab2 ab2 ac b b ab bef g abce cef acef e e ce b g bce abce bg g ae abc bef ac c abe aef af g b b ac ac c cef abcg e bc abce af af g c bf abcg g cf acg abcg ef ef aeg ce ce abc abc abeg abcg ac aeg eg bef ce g g ceg cef aceg bcf cg ce ce f g bce bce abcf bcf afg af af acf c c aeg abeg bcef f f abceg acef abcg ef ef bc fg bg af abe acef bf g cfg bc abc af abeg ac ac bf bceg abfg abc bcfg efg efg c ac cfg acf bfg abcef ceg bce abe abe ace ce bc bfg abfg abfg abcf abcf ceg ac b bc bc eg h bcf cg abcg af b abfg bfg bce abce bcf ae ae e bcg g bce bf acef h f af abcef abeg ac ab2 cef aceg bceg af bc beg bcf be acef acef eg af abef bcef h abe aef bfg acef bh bef acefg h h ceg acfg acfg b bc cf ah c ef ef abch bh bef ab abef bfg aef ef acg acg af ace bef g ab2 bce fg bh abcefg abcg bfg aefg ab2 ab2 abefg bh bc bc bef abcfg ch c abch bh abh ae af beg ag aef be abcg abcg bef e cg aefg h aef ac bh abef ach ach beg beg beh cfg acfg ab ace h bfg ab2 ceg bch cfg aeh bef bef g h abg bcf aceh ceg beg b ch ach abeh cfg bcefg bcef bcef fh abfg beh beh aef aceh eh eh ace bcfg ach efh be abch abch eh e fh fh g bce abcg abcg abfg aceg af abcfh beg beg efh cfg ace ace fh bfg abeh ef bcf aeh abch ace e abcfh efg cefh bcf ab2 abg bcefh abeh abeh ach ah afh bcf bcefg bcefg abefh abeh bef g cefh eg eg bch ae cf cf ah be abf eh abh af bcefh abceg ch agh abf ab2 bch af bc bc beg beg ceh acef aceh bfh af aefg abeg h abce abf abcg abcg befh bc efg abgh abgh abcefg ac agh af af bceh bceh acefh ab2 abcg fg fh af cfh efg abcfh abcfh ef abe ceh b agh acefh bfh ab2 ab2 abch bc abc efg aefg acef agh bcefg abcefg acfh bc bc h abfg acef acef abe abcefg e e ae abfg bceh bce acef abh acf bc efg abeg bcf bf ac ac acfg ce f abeg bceh acfgh acef eh abh abcg ach h h agh aef aceh aceh afh abef bef ach cefh bcegh bcf aeg af abceg bcfgh abeg g ef ceg bce abg bc bef cg cg cefh acef bg bg bcefh af g bfh bfh bcefg aeh bh efg efg bc acgh bfh abf bf bcefg bh befh ae cg bcfh cefh acef abh ace ace bfh bfh aefh aefh bce abcg befh abef bfg bcfg bcfg bfh fg fg bcefh befh afgh g g befgh bcf abch abcg abcg abef af ch abe abcgh i eh ceh f bef acg bfh be befgh ceg abcefh agh g g aefg abeh bcf aceg aceg abcgh abcgh abeg acegh beh bf abh fg afh g af bcfh abcfh h bh abg ceh abcfgh f abeg bfg bce bf i fh bcegh ce beg efh egh ai bcefh bcefh abegh ai ce beg beg abefgh bcfgh aeg i acf ai cefg beh bi bcf ceg abefh acf g g acefh acfgh abcefg bcefg bcefg bcefh efgh g g bfh abcg abcg abh abch efgh bce abfg bf bci eg ai abefgh abceg abceg bceg afgh bf abf aeg cfh abegh beg bceh abceh abgh abcf abcg bcefg abefh ace cg aefh befgh befgh abg abch abcef cefg cefg ch aci bf ceg af af ceh aefg ah bcf abgh ci bcefh abcfgh ai abeg g cefh bcf bcf fg bcegh bef abci g cefg cefh aeg ceg ceg fh abegh acg bgh abfg i be abefg abcefh bcegh ae ae abceh acegh ai abefh acfh acfh bi g abfg befgh abcefh bcg abh bci bci abeg efh bceh abcg afh aceh bc bcegh acefh acefh efh ci acfg cefgh cefgh ai g abfg acegh bgh aci aeg bch acefgh bcefgh abcfg abfh cfgh aci afg af bcfgh beg beg bfh acegh acegh fg abi bei cei bci ef ef aei abcg abh abcfgh acgh abi ai befgh acef bcei bef abefh abcegh abeg bei beh i abcg ceg ac gh g h h abgh abcefgh acfg acfg abegh fi fi h bcgh aegh bce bce agh agh acg efg egh aceg eg cgh acefgh begh i aefh abceh ceg bei abei afh begh abfg abfg bcgh cegh abcg abcg bcefh bcefh g cei ach i i abcg bh abcegh bi ab2 abfg abceh abci bg eh afi ei acg cefh afgh bfi i aeh abch abcfi acei bi bei bcfh cfg cfg abch efgh abcfg abcfg ach aci bei bcefg abcg abfgh ei bceg abeg bcgh aci aefi bfi abch abci bci abceh befgh bcgh ci egi bcefh befi g abeg ch bcei aceg bcg agh fh acf abeg abceh abcei fg fg cfh cgh bi abfg abfg abgh befg bcfi cfh befh aefg bfg ah cefg bgh eg aefi abcefh acfh abi g acfi cefh befgh befgh gh aeh efg g g cefh abei aceg abch bcfgh abceg fi efh cegh bcg bfi abh fh bci bcefi afi bfh acegh bfi cei abfgi aei aei bcfg abfh bgh ai fg eh cei cfi h h bcei i abcg acfh cei cg cg h bcegi egh i acfh bcegh abi abeg abgh bcgh befgh aceg eg bcegh bci g ch ch bcgh ci fg befh efgh fi fi abfh abfi abcg ai abcegh abefh afi fi abgh abgh abei bfi bcf bcf bci aefg bcefi bcgh abcefg bei bfi cgh efgh acg acg acegh bcfi egi abei acgh efgh afi beg egh cfgh bcei aegi ceh acei cfi ab2 h bcgh i i ceh bcfgh acfi abcfg efh abeh ci i aefi agh aefgh beg befi acegh aci bcei af abefh efg bcefi acei acgi bfi cefi cefi abce acgh bcefi afi cgi cgi bei bei bcegi efgh acg afi begi cgi cegh acefi acefi cgh cgh aei bcfh egh begi bei aegi abcgi bcgi cfi abfgi bceh beh ace efi bcfgh gh acei cfi aei afgh ceg abcei befh begh abcfg abi egi egh abhi b ceg begh cefg acei bfg bceh abcfh bfi agh agh abcefi bcefi acei cefh eg bcei aegi aegi aeh abci bcefi abcegi bcgi fg abg bfi abefh beg beg abeh abcehi bei bei bfi bcegh abfg abfg abcefi bcfgi abgh abcgi befg abefh acefg acei bcegi acefh aefi abef ci abhi abcegh f abchi bcfh bcefg bg bg ceh bce acfi acfi abcegi acfgh abei abcfi efi cgh efgh bi acfi h bcgh abcg abgi bcegh abch ab2 abi behi abcefgh abg aehi abefh abefh afi bci aefgi e e abfi cgh aeh abcefi bci abgh abgh acegh bg abch acefgh abcegh aei bcefi abeh acfgh ae aci cef cef cfi bcfgi fgh ach abcefg abcefg bh abch bcf acfi bcgh bgh ai ai acehi begh bcegi cfi bceh ah ci bcfi bcfi bch fi cfi cfi bceh b efi abefh bfgh abcefi bi abcfh abgh abgh egi ehi cegi bcefi bci abegi fgh bcfgi acfg bfi fgi fgi efgi hi abfh eg abcfhi bcgi abhi abch bcegh bcfg aegh af fg abefgi bcgi befh bcf abi bcefi abcfh bgh aehi abcgi abcgi begh abfg cei ah abcfh af i cegi ceh acfi acfi bcegi ace abcefgh efi abchi cfh abefh cei cei bgh f bgi aefi abcegh bce abcefi abi bceh abcefg abcgi af abegh abeg hi gi h bcg bei af bcegh bcefh abcefhi fi abcefgh efhi ai ai acgh acgh cgh cgi aei egh bef acefi egi acefgh acefgh acfi bcefi ach cfgh abghi abcefhi befgi ab2 bcf acefgi h ae efi abefgi abh gh acei abi abgh abcgh abfhi bei afh bcf bcfhi acfi chi ce acf acfg abchi bcefh abci bci abi acefh h abhi cehi agh abce aei ei acfgh fgh cefi cefi fh acefgh abci bcefi bcgh abcgh abghi bei abch abch ghi bci ahi acegh ai abfi bfi cgh acgh ghi abegi bgh cefh bcei ehi befh efg cfghi abegi bcgh afgh ci aegi acfgi acef acei bi abehi bef ci bcfi aefgh abcf abcefhi bi acei abfh bei bei bcfgh bcegh aei aei acfi abgh b abei fgi fh abcfg ei bci cfgh abcfh abefgh abei gh abegh fghi bci chi bceh bcghi bei bcefgi aef bi cgi cgi bcfhi abefgi ai abegh acgh aefgh abi chi abgh bfghi bcei aegi acfh acefgh acfi begi cegh egh fgh abh be abcefh bcghi abcehi abcfgi cefhi bcghi j bceg bf bcefi cei abcegi cfgh bfhi egi egi cef fhi abcehi cgi abcfh acegh acfghi bcfi cgh abcegh bci abcefi abefgh ab bei abegh afgi abcefh fi aei acfgh abgh aceghi bei ceg agh fi j cefhi aegh bcefghi abefgi fgi cefg cefg bcegi abefgh b ceghi abefgi abefgi acef cghi abcfgi cei cefh ace ai aefi abefh befh bfghi abefi ae ae abcefghi cefi cgh aeh cei bi ahi aegh acf j abhi be ei j ahi bcefg bcef bcfi abgi abceg abcefh ehi acfgh acf abef bei fgi bcfgh bcf ei gi efh ce bcghi abcgi bfgh bh aghi abci gi ceg ch abei befgi abeg acfi cefgi cgi fgh abfh bfi bcegh abch bcf j bcfgi bgh beh abcei abchi g aefgh beghi bi achi abcef bcfi acegi acgh bh abcefi efghi afgh abcgh bcefghi efg efg bfg aei acefgi efgi cefh bcef j i ef bcfgh abci abcefgh h e aegi bcefh ef efghi ceg ceg fg ach abcefhi fgi fh abf j efgi fgh fgh afghi bj abcefhi bcefh cehi bi j acf abefgh abei gh aefgh acefgh bi abcegi acegh aegh i abgi cefg abcefh abfghi bcegi abcfh bfh j acfgi aefg abegh j cfg efgi b bcefghi ai acefgh bh beghi aefghi abcgh ah abceh egi egi acgh abegh acgi ceg ceg bj fgi bfg ceh bcefhi abfgi acgi abfh abeh abeh abei ag 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bcg ceg bcefi beh bcghi bfg j cfhi cej bcefg bcefg aegh aej abei abegh cfhi eg abfgi aceg bcgh j fgi bfj fh acefgh abcegi abcefg befgh ceghi efg ai abcegh abefhi efghi abcg afg ah cfghi efg aceh beghi j bcefg bcgh behi afghi i abfgh aehi cghi abej bgh abj efh bcej abcfg befhi afh cefghi abcfhi bcefgh abcfh bfg j j abhi abcefg abcefg abcfhi bcfhi aej abceg abcegh bcefh bcfghi ceg j abeh abj ag j acehi cei bci achi beh acegi acegi g aghi abceghi fj abefj abej abceh ag i begh cfj cfj bj bj acfgh cefj bceg bcfi cj fhi cei cei cgj bcefghi fgi acgh aghi abej abegi cfj acefhi achi j j bcej befh gi begi afgh ch abcfj bei j abeghi cfj cfj bci abefghi abfg efg acgh acgh bcefj afg fg cefh befghi aefi abefhi cfh abcegi cfg afg cefh cefh bcgj cj bh bh efghi bcefg acfgh cfj cefh acegi cefghi bcfghi ceg abcefg acfgh abcfh bcgi efg befhi ehi fh aei acej aegh bgj bgj bcfgh bcfgh bcefh agj abefg beh h abfg abfi abcfgh abcefhi fj cej bghi behi abfg bfi abhi afh abcj abcefg bj bcehi abeg acg cehi ceh bch 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bchj bfj bcei abhi egj cfj bcefj h h cefj acefj fhi eh abcj acefgj abcghi abfh g bchj abcefgj abefg cfg ej aeghi abcfh acfgj abcej bcfi abcfj fi begj abceh ah ahj abcej bcefh cfh abcfgi abj abj abceh ag bei cefj afhi abcj abcj abci aef abfg abej bfgj cefghi bh ej ehj bcehi abcehi agj j aefi ehi bchj cfj ehj abcfh cj cj aefghi abefh acfg acej befgj cefh abeh abfi cj bcefh acfg bj afhj efh abej beg cegj cfhj bcegj cfj bci abcfh efh cj j efi bcefh bceghi cfj acefgj acefgj behj abcfj bcfghi cehi abcefg agj abghi h j abcej bcfgj ceh aehi abcj abfgj bcfhi abfg j j acfh abeghi bchj acefgj bghi acefh chj bfj afh abcfghi abj abj bcfhi aefh bcfj cefj afh befhi ej fj cfghi bghi cefh cefj abh bhi abcefhi acghj achi abcghi efg j bcfghi cehi bcg abj behj acfghi achi abcfj abej aefi ceh bcegj bchj abghi cfghi abcfj efg acghi aeh aej abcefj ceghi h abcehi cefj aefghi aceh bj bj agj aeghi cj j bcfgj abeghi aehi acej bcfgj abcfh abcfh abcej bfghi ghi bcg aefghi bcefj chi abcefi cj abcej befgj abchi fhj abefhj aeghi abeh j cefj beghi bh abefg abchj aeghi abcfh bfgj j cefj ehj abefhi bhj fj acefhi ahj abcfg efj abefh fhi agj fj abehi h bceg acj bcefhi beghi bg cfj bghi abfhi bfhj cj cefhj ehi cghi abefj agj acefgj achi bcej aefj befhi bchj acfhj fj bceh abfg cefj abfghi abchi fhi abj ej ceghi ac cefj ghj bh efghi abefhj abj aefgj chi abcfj abfhj bhj ghi abcefj abcj agj abcehi aeghj cghj acghi fhi acfhi abefg aefgj bcghi bcfg cj abcefgj acf acehj afi efghj cfghi aeghi cj cj abfghj bhi ej bcfhj cfghi efh aeghj bcfj bchj befh abcefhi ej bfgj aei abehi abcfj abcfj bhi abefg cfj aghj bfh cefg cefg abcfgi cfh abefhi fj ac hi abcfhi behj cefj fh bhi bhj bcefj bfgj abcehi aceghi bcej befgj eh acfhi acfj ac cefh ahj abceg cefj abch acefghi fghj bcfgj ach efj efj bfghj fhi acehi abj abfh h h bcfj bcej afhi acehi abefj cgj cfghi abeg abeg cj bh abch aehj abcj achj ahi bfghj bej cegj abhi abhi abceghj abfgj ceghi cefhi j bi bhi ehi bj beghj bghi ahi j abfj beghi bcefh abj acefgj cfghi efhi aj cefj afghj acghi ceg cej abij bcfg g bcgj bcgj bchi befhi abj cej cefhi bcfhj j abch efghi ceg fj fj aefgj chi chi acghi acghi abcefhi bcfgj abefj bce cefhi abej bfgi aefghi abhi abcefhj cej fghj cefhi abej efj abefghj bhj acfj bcefhj abeh beh cefj eij abcefgj cfhi ghj abcj befj aefghj abcfg abfj bfghj aegj abhi abefj bcfgj abcefghi chi afgj abej bcefgj eh aeghj abj aefghj efhi efhj abfj ehj eg abg acej cij ach bcghi bcej bfghj bchi bchi abcfghj abceij abcghi cefhi acegh fgh bch ehi cej cej chj chj acefhi cj aefghi abhj abefj cfj ahi abcehi abcehi abej befgj bcefhi bcefhi ej eij aeghi ij j aegj beghi acfij bcfij cfj hi abcehi abcegi afgj abfghi abefhi abefj acefgj ahj ahi efj efj acegj abhi abhi abij bcf ahi abcehj egh abch abch acej abcefj abcf behi cefhj bcej cfh abch abcij bcij abcf bcefghi abfhi acj bcgj ghi acefghi bcefj begj abcghi abehi bceij bcgj abeij bhi ehi begj begj efhi aefj abch abch beghi abhj abcj acef bcehi acefhi gij abcfj afh abij abij bfgj abceg abfhi aeij bcfij bceghi bhi efgj ah acefgj hi hi afgj afhj abhi acehi agj agj abcghi cefgi abef ehi ehi bfghi afij bfgj abfhi abceg cefj bcfgi ghi abefg bj begj aeghi abehi hi acfgj fhi fhi bfghj cej cefhi afghi aegh cfgh abeghi abefhi abefj bfgj cfghi bfhi cegh cegh bcefgj afhi abcj abcj agj chi abefghi acj abch abcefhi abhi begh bfgj hi bcehi acefgi abcej befhi abhi abcj aefgh cefhi abfh afghj cfgj bgj aghi gij abeh abeh bfhi abcehi aeghj abeghj acfhi abefj abj abefij afghi efhj efhj acfh befhi ghj abcefgi bcfgh bgij bgij abej bcfgi acfhi abchi abfgh efgj acegij achi cei cij abhi abhi acef aefghj abcehi abcfhi cefij abcefghj fij bhi abcfghj bfgj begj efhi abcghj acfgh acfgj afhj ehi abcij abeh hi efhi bceij acfgj acehi cfhi abefj beghj bcghi abfhi abcefghj abfj acehj fhi abcefij ceij aeij chi cgij befgj bcefgh abefhi bchj fgi abei chi abcfhi ceghj abceij abcefhi aef bcfgj agij abehi abfg cfgj agij acefij abchi ghj abcij chi chi aegh abcghj abcefgj ehi acgj aefgh afij abcfhi cgi bcgj bcfij ehi fhj cfij eij efhi abfhj ae acfgj acfgij bhj aej egi abcehj efhj abcfj abcfj aefghi gij fj abcfh bcej efhi cefgi acegj beghi acehi cegi egi abcehj abfhj acefgi abefgj bchj abcj abcj abce abce abcfhi befgij j j abchi aghj abcegj abcegj achi cei abcfgi ce aegj bfghi acegi abcij abcegj chj acfgj abgj cij bcefhi ci abcfi abcfhi behi bcefghi abi abi aehi bhj efi bgij bfhi abcefgj bcefgh bcgj befhi ghj i begj bcehi bcehj abcegi egj acfgij acfhi bcegj abfgj abcehi abcfhi cgi acegj bcefhi befhi bij befij chi abefghi bef abcegi af cehi ai ai abfh chj efg bcefi abgj bhi abeghj fgi abij abefg behi begi cegj acfhj be afij agj efhi chj bcefi cfh bchj abefhi abcfghj bcfgj eij behi bcefghj cfi aegj bchi abgi abe bcfgj chi abc bfgi afgij abefhi befhi abf cgj abcehi abcehi bcgj bgj afhj befhi fgi acefgj abfhi acfghj aei begi efij efij acefgh acefgh bfhi acfgij bfgi cegj cfgj bchi achij acefgj befg bfhi ceghj aei behij fhi bce efgij eij abcfhi bfhi abcfgi abfij bchj abchi cfij bgi chi ae bci bcgj abceghi abfghj aegi acefi abcefij abehi abegi bcgj befhi befhi aej aefgj achij bci afghi cei egj abj abj be be chi chi bcefi acgij egj abf acefgh acefgh hi ahi bcefgh acfi afhj efh cegi agj abcehij abcehj fi bcefi bci aehi ef bcfgj chi chi ahj cfgj aehij cfhj c aefi bce efhj befgh bi ehj bchi ac ceij acefhj acefhi cg cfgj acfi cefij acehi acefghj ai abcehi bfhi bc begi afhi bchi agj abegj bcfgj achi acj abgh cfi abhi bceghj bcei abefij aefhi e acfi fgj bcefhi bceghj agh abij gij bef bci bci bhi cehi cfgi ceij afghj acefgij acgi acei bcefhi acehj bcgi begh aci achij bcfgi bcfgi abcefi abhj abce abcefgi aefi efhi bc befi efij fhi cfhj abefij abg chi abcef acegh bhij abchi abe i i acfg achi abcghj acfi abcgij acehj gh aefi bcfhi ceghj bc abefi aegij bcfg bce abfi bcfi ace e afghj abefgij acehi ef afgi abfgj chj abghi aegh bcefgij fhi ab2 bcf abei efhi ab bcefi cei cei bce bcfi aci abefj hij ab abef fj bf abcefgi cfg abfgj abfhi achij abcegi abi abchi cefghi cegi abefij abcehij abcfhj gi gi acegij c abefgi abcfi achi behi acfgh abi abchi ac egi aci abcehi ab gi bci ij abcf aefgh cef abh chi chj fi befi cehi bcf egi ai chi efhi agi bcefgij ehj bce aefghj abefh aefhi bcgh afghi cei afhi acehi cfgi aefi abehi abcg acfgj cf bcefi abcf agj bcfi chij abgh af bi aei abefhj abhj ci acefi chi chi acei bcefgj abcefhi ac ac bcei bcfgj ceghj abegi cfi cehi fhi aefi efgj bcfhi abcfhi abfgi acfi efij aefj be bcg abcehi abcehi f abi abegi abchi acghj bei bfgij bfgij ae bi cei bcefhi bcf abei abfi aefgij abcehij afgh aei bchij begh bcei efi cej abcfhj ab ei acefij acef aef abei abefij bcghi acefgi gi abeij abcefhi bceghj efi agj agij bghj abi agi beg afhi bcfgh bcei acefhj acefhj afgj afgj abcfg aehj egi ci cegh bef af abcef befhi ab2 cefi abefgi fghj ahj fgh e ij bfgh acgh ai acefgj acefhi acegj aei aei ehj bcf bcfi abegj ahij achj afi afi befgij abeghj bceghj ci chij fgh fgh abci abchij agj efi ci fg ahj aeghj bci beij acfhi abf abcei bgi ahj bcefghi abefi acefgi bhj abe abcei bcefg agij abfhj acfi abcegi aefghj abceghi befgi abcefgi chij af ceghj abi bchij efghj abf aci abefij abehi ae ae ceghij ghj acefi bei fij ceghj bcefghi bci bcefhij abfj abceghj i abceghij abcj bcefgh bci bcefi bceg abefhj abfi abfi aceij abfhj bcefgij fi ehij beghj begj ci bcij acefhj abefgh bceg abeg be ac abcfi fghij aeghj abcehj bi abfg bcegh efgh abfi eij bcefghj bcef acei bi bfghj abcfj abcg abcg eij abghj bcgj bi

Monoid Structure

Idempotent  |G|  |Arch|
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b2 *512514