Details Page for 0.1706

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1032
P-Portion Size:   3
Tame?   No

MSV File: q-0.1706.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
7102
10122
17163
27243
74403
180723
4011363
9382643
20775203
544610323

(Click on a heap to see details)

Details for Q2077(0.1706):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b3=b, c2=b2, bd=bc, d2=b2, b2e=e, de=ce, e2=b2, b2f=f, df=cf, f2=b2, b2g=g, dg=cg, g2=b2, b2h=h, dh=ch, h2=b2, b2i=i, di=ci, i2=b2, b2j=j, dj=cj, j2=b2>

P = {a, b2, ad}

Phi = 1 a a 1 b b ab c c 1 acd acd ab b b ab b2c d ab2c bc bc ab b b ab ab2 ab2 e abc bc ab be be b2 ab2 ab2 e abc bc b2c b2c ab2c e ab2 ab2 b2 b be abe b2c ab2c e e bc ab b be abe b2c ab2c ab2c bc bc abe ab2 be ab ab2 e e abc bc abe be f ce ab2 ae e abc bc b2c b2c ace f ae ab2 b2 be be abe b2c ab2c f f ab2 bce abce cf cf b2c ab2c ab2c abc bc bf bf b ab ab2 e e abc bc bc bf ef ce ab2 cf cf abce bc bc b2c ab2c f f ab2 b2 b abef bcf b2c b2c ab2c f bc ab abce abcf acf b2c ab2c ab2c abc bc bce f e ab ab2 e acf abc bc bc f ab2c ace ef acf acf abc bc abef b2c ab2c af bf bf ab2 ab2 abe bcf ce ab2c ab2c b2c bc g abef abcf acf ce ab2c ab2c abc bc bc bf e ae ab2 ab aef abce bc bc abc g aef b2c abcef cf abce abce abg e ab2c f f ab ab2 ab2 acf abcf cg ace ace b2c bc abf bg abg g bcf ace ab2c abef bf bf abf e ab2 ab2 ab abcf abef acg bc abc abcef ag g abe abcf bg acf cg cg acg f f ab be bg ab2 ab2 cg acg f b2c bf bg ag g ab2 acf bcf abcg be bf bf abf b2 e eg abcf b abef bcg beg abc e cef g abe aceg abceg abce ab2 cg af bf f afg be g acf ab2 ab2 acg abc abf fg ag g e ab2 ab2 abcf acg abe bcg bf bfg e e bg abcf be abceg beg abeg afg e aeg abg abe be bcef ab ab2 e e fg f be be ag acf acf bc aefg abce abeg bf ag bfg e e cfg b2 abcg afg aef abf afg e e cfg acf be ab bcg cg ace abce abc ag abe be abcf abcf bcfg e acg fg f be abg ceg bcf acf acf acg bcef abce b2c b2c ab2c e ae ceg cfg abcg efg bcg abfg f h ag efg acfg abcf bcf abcef ce afg abc bc bc abe acfg bcf abeg cg cg abcg bc f bceg be h abg acf acf abce aeg bce afg ab2c ace e ae ab2 cfg abcg abcg befg ef ace abcefg acf cfg g be ace h beg ace bc bc abef abg abceg b ab ah abh aefg abce afg ch bg befg abe bcf h abce beg bce ch ab2c f ch bch cfg cfg bcf h abfg ce ace afg bch abef e abce abcf ce ce ace afg bf bf ae be aef ab ah efg acg abef bfg abeg aeh ach bcfg bch cf abce bce bfg bfg f f be be cef befg bcf bcf bfg bh f abch abch bch cef abcfg abcfg abh ce ace fg abef bf bf ch abefg bcef ace ab h aeh bfg bc beg ach ceg ab abceh aefg ah eh abfg ef f ach be bch bcfg bcfg ah eh bh aef fg beh bch eh e ag cef aeg ce fg bc bf bef e aceh ag bh efg efg abef cfh bf fh ach afh ab abcef abfh abfh bf cfh bfg f be cfg acfg bcfg bcfg h cfh bh aef acefg acefg bch bfh efh e abg bh ace f afg bf bf e aceg cfg acf abcf b abce bf bcefg abcefg ch cfg cfg abcf bcf abfh h cfh ef bf cefg abch bcfg be abg bceg h abce abh acefg ch bch bcfg abcfg acf acf ag afg ef ef bcg bf e bch ae beh bcef bcf eh eh acefh afh bch cfg cfg abe be gh ah acfh e e bcefh abefh bch be abg abg ah afg fg ef ace aceh abcfg bcfg acf ab2 gh bh abceg ab af acefh bcefg acf acf abh bg abg abh h cfh cg cefh aeg abfh abe be efh cfh cfh abf bcfh bcfh abcg aceh fh ch ag acf abceh abeh bh bcefh af beg bcefg e b2 abh abh bh af bcg abcefg abch cg acf abcf abh bg gh ace acefh afg abef efg ch abe be g befg cfh ceg acg bcfh bcg afh bcf be gh bg bce e abf bf cgh abcg abch bcfg acf bgh befh bh ceh abfg b2c acg abfh afh bc abcefh gh efh h acfh cgh abcefh bfh fh ch ach abe efh cfh befh efg abce bf abeg afh agh gh acf bf abce aegh bf bcgh ch abcefg abcefg cf ab2 e abcfh aceh acefh b2c cg abfh bch acf acf abceg befg cfgh f ace cg bch bfh ach ch agh gh cfh ah acg abc bce cefh ach afh gh aceg aceg efg aegh bf bcg ach afh acefg abe g b2 abceg acfgh acefh ce ace abfh abeg bfh bg abceg aefh abefg aefg ace ace abceh acgh abcefg ab2 aegh be g aceg ce bc bc acegh ach afgh acf bgh aceg aefg ah bf bcg bfg aeg abfh be bch abg abg bceg abefg f b2c abceh bceh abcf e e aefh abceg ce af ace acefg abcefg bcegh abch ach ef abe abcfh ace i bcg fgh acf aefh abegh egh bgh bgh cfgh cfgh bf acefh acg bcefh bcf abefgh bg abg bf bf ce abcefh cefg bfgh abfh bcfg afh gh abefg cfgh abh bcfgh bcefgh acgh abeg ach afh ag ceg efg bcefgh h bcg abeg i cefg acefg abfh g abgh i abf ai acegh bcgh acefg abe bcf abch cef acef bce acg abh ef afgh abcf abch eh agh gh efg bh f cgh bcefg abcefg bch bfgh bi g abegh bcfgh ab2c i bcgh abi fh be acfg bg abg bceg ah acfh bf bi cefg bfgh befgh abcefg abg cfh abc bce ab2c abcg afh afh ai aeh cef abef bh bcfh abh cegh i abcefg e fgh aeg abefgh beh abceg cfh bce acefh abi befh acfg aci abeh abg abceg h acefh afg acg cefg aef fh efgh i cefh ceg abcegh bi bi ci ci abeg be e gh abcfgh abh abceg abcg ai abcefg eh bch aeg gh abcefh abefg cegh acegh acefh abcgh cefg bcgh e abcf ci cfgh ceg ceg afg abcefh abfgh abfgh afh fh ei aeh ceg bce bei bei ei afgh bcefg acei bfh ceg abcefh agh bcg abfg bi acgh fgh aeh afg abei ci acfgh abcfgh cefh bi abi bei abfh ch ci bfg acei afi ceg ceg abef bfgh abfgh ch bcf ag bci agh ceg bcfh abceg cefgh aefh acefg abcef ag bci abcfgh abfi afi f bfg afgh fgh aeg efi befi bcfgh bceg befg aef acg abei bcgh ab2 fh abcefg ci acei abgh aef cg abei bfgh abegh begh efh g abci bcei ceg afi acei abi acgh eg abe afg bci afi acefh bceg bcg f bcfi fgh aeg begh abcfg abefgh ci bceg h bei bcfi abfh abfh cefi acf b ab cegh abcfgh abcfh bcegh ei bfgh ch afh abfi abci abci gh bcfgh acei befg bei eg aeg abci ab2 bci ci abfi ai bei bcfi bi acgh cfi abeg bg ci be bgh ace bi acfi bceh gi gi b afi abgh abcefh abi aei i bfgh abcgh ach efi ci abcei bgh ci abef cefi cfi efh eg cgh abcgi bcei bcefg abef bei abei bi aegi eg abeg abeg beg acgi acfgh gh abgi gi acefi i abeg abcfg acei ch abeh bgh bcfgh i ei aei abeg acei g abci cefg abcfh abgh acfh ceg abi abcfi bcef abcgi abcgh bch bgh acefh bef efg abeh acfg af abeg acf abcefg cfgh acfgh efi abei aef agi i bcefg cefgh afgh acgi acefg abcfh abcg abefg befg abeg bf efh acefg cefg cefg afgi abgh gi ceg bgi abgi ag cfg bcefgh aegi fi efi bef abegi efg abefgh af abcgh abceh bcefg bcegi abfi gh aef aef abcg ei afgh bf bcef abcfgi befi fi bceg befg i aei ai bcgi ab be cei ci abefg gh abc bgi abcfi befh be abch acei cgi abfi abce bgi bei bh abfgh acfi cefi efgi abci bfi bgi abeh abcg abceg i i afh aeg abcei abfi bcfh bcfh bcegh cefi acefi acfi acg cef eg cefg abceg abgh eh gh acefh abei abefgh cef bfgh afi efi abfi abce aeh abegi bcfi befgh egi bcef cefg abcefg abfh bfgi aceg bcegh bcegh cfi aefgh cef cef abcgi bcefg hi ci egi befg aefgh acegh cfi acgh bcefg aci bh fgi abcei ei aei abei cfgi acef abcegh cefg bcefgh befi bgh aef abefgi bcegh acefgi efh acefg acefg abcei abcei abfgi cfh efi abei aefgh efgh ach ab cef abeg fi efi ci bef abcefgi acfi bfh bfh acef acgi aci ci fgi efg aefg aefg abefgh abcgh abcegi abcef afi afi abci h bce abceh abcegh cfi efh be bcgi abcefgh bci bfgi beh beh abcg ach abcf cgh bcei abfgi abefgi aegi h ace acfgh cefi cfi bch e bcgh efi fgi agh abef efg bcfgi ei abfgh ch fh acefg acefg abci acg efg aceg i aegi ach abcf cgh hi befi bgh agi ce bi bcfi be cefg bgi abeg bcefgh cei acei bef abegi abcefi acfi bch acf acf cefgh ab aegh abchi abgh bgh efgh i cegi ach afh efgi bfi ah ef ce befgh abcfi abcefi ab bfgi abegh cef bgh ace chi cfgi ach aefgh cefg acefg hi bcefgh ci acei agh abcefi abgi agi bch abch bcefg abefgi fi ceh abh ef bgh bcfgi ei bi abfh hi aci abh abegh cegi bgh cefi achi ch ch abe abefi ae abegh ah ceg eh cfgi ach aehi bcgh ahi abfgi abfgi eh abef chi ef ef acefi cef ahi bhi bf fi bh abcg bcefgi fhi acegh abfh ahi afh bcei bcg f ef aef aegi aefgh ch ach abe cfhi begh efi bfi bce acfh bcefi bcfi bgi agi ehi aehi bcei bf agh bcefi cfgi acf acf cfi ae aeg abcegi cefgh bh ef chi aegi fg efgh bgi abcef abfgi ci aef abegh abcehi ceg agh aefgh aefh ach cefg befg abci begh h cfgi bce bcfi bcegh aeg abeg afgi bhi bci agh acfh acfgh abefgh efhi abcehi cfi bcef abefi bfi chi abh ce cefi i cegh acegh befgi be bcefgh bh egh bchi cfh acegh bcfi afh bch cfhi acegi fi cefgh ah bef acfgi ace bcegh cfi agi ahi bci cefgh h cefhi abceg abcfgi afhi befh afgh aeh beg fi agh bh bh abef cfi bch acgh abcefg bgi afi afi abegh egh abcehi bchi acegh befh bfgh efhi cfhi fi befi h efg acehi abcefi abcgh bfh cef bhi ab bci cfh begh abchi egi bghi abei aefgh e beg ahi acehi bh ace ab2c abce cegh acefi bcei ae aci aci abcfh egh bcehi abce ei abcefgi bch acf aeg cei abcghi ah ah ceg abfhi acefi abcegh ghi ab cfhi abcei abci acfh b2c abcegh gi bcegh ab hi afh abci begh bh efg ace bchi abcegh ch abeghi ae acei aci bh h ah abef abcfgi bg acef afh aci afi efgi bcfhi abcfgh bcefgh ef ai cfi ghi be abe bf abfi cefhi bh ce ace abei acegh abe cef abfi abfgi abcefgh achi gh acfgh abchi abcfi bgi e abfh cefhi acgi h h bceg abgi acfi bcgh aghi bfh bhi abcg abci aeh abcfgh aef ceg efghi aghi ach fh bcgi abfi bgh ceg fg cefgi i cegh abcef ahi e bfh abcefgh abcfh bce abce abei ceh ghi e e acfhi aci cefgh cghi acfh cfh abefh ai bfh bfh efgi abhi bcefh abcefgh ace abcfgh ceg aefhi befgh afgh fh abcegi abegh aeh bgh h acefgi befg abi fh ch b2 befi abeh cg egh bcghi bcfi abcfi bghi cf ae abhi efi acei aefi cghi ace bcfgi bceh aeghi fh eg ci bcefi j abfg ace ceg cfi acegh abe bcf abcfhi abeh abgh afg bc bce abei abi bghi abefgh cfghi e abci cg abcghi ce aef abegi j ae ae bfh abfi bci acfh bcg ace cfg cfi i efgh abcfghi acei acefh acefgh bcfh ace abcefgi i aefgh efgh abghi abcegi aefi abeh fghi bcefgh bce abfhi bi ceh abcefi cfg e 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abfg abj bcefgh afghi acefgi cj bcgh bcj abg cefhi ej abegh cefgh chi bcghi abcefj ceh ceh acefj hi bfi aj efj abcfj bceghi acefgi gj efgh abceh efgi bcfghi abcei aegh aegh fghi acgj bei bceh bceh bgj aceh abhi cfhi abegh ceghi aefghi chi cej abcegh ceh aefh befgi aci abcefgh bcefgh aceghi cefgi abcj abcj abcefg bceh ahi bcei aj efj abj cefh achi fh cefj acefghi acegi bghi abcei cei abcg bj bcfi cghi bfh abfh bcej eghi ach aegh aegh j e afhi abcefgi bcj ceh abhi befgi hi j bcefh abegh abcghi cefi cefgi bcegh befgh ahi ehi befj abegh abefghi eh bcfgi abcj befgh bceh bceh abcfgh abhi abcfghi aegh bcefj abcefh abcfj acj cj fj eghi abefgi aefj cefgh abcefh abegh bcgj abefghi afj abcefhi ch bcfhi hi abci begh aeh abcefgh cfi begi cgj efgh acegi bceh agj bcegi cefh bcghi bcfj bcfi abcegh abceh abefh bgj abefi abhi acefh egh abcefh cefgi afg cefi efgh bcj bcj bgj bh abcefh bcefh acefj ei abcgj acgj afh aghi ahi aej acfj abegh bcgj acefh achi cefgi abefgh befh cgi abcegi gj acefh eh afhi egi 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efi efi cegi afg egh bgi abfhi abegj cgj bcegh efj acegi efgi bcei j abefhi abgi fgj cefgi bg aefgh ahi bcei cfj abegh bcefgh abcfj abchi cej efj acegh abfj cefj abgh abcfgj cefgh bcfh abegj abcefgi cgj bceh acfghi bcfgj cfhi abcefj acefgh abegh ceghi befj bcj abei aefh aci bcfhi chj agj beh begh afhi acefi hj cgj aefgh efgh bci efg bej bcefgh acefh cfgi cfgi achj aehi cfhi abcei acfgj abej bcefj acefgh cghi cj fgj befgh eg behi bghi ahj egh acefgh aegj abfhi fgj acgj abfj abehi aefh bcei aefg abhj bcefgh aefgj cef abfgj aehj aefgh cefgj aehi abcei bcefgh begh cefh cefg abei acej acfg aeghi befgi acei acei bceghi egh bcefj cghi fhi bcefgi abefgh bghi efi cegj abcefj abeh bcefh acghi fgj abcefi efh acegh aefgh acfhi cfj bh cefj cefj aei abfgj cj cegh bcgi bcei cfj bgh bej cefh bcghi gi cej ghi abceh abeghi acehj aegj begh egh aefgj afhi bei bcej bceh acegi cgi acfghi abcfgj egh abeh agi befhi bfhi acgj efgh bcf abehi abcehj abcei abegh abhj bcfj hj aefgh aefgh behi acfhi abfhj afi aef gj acefgh befghi cegj afj abceh cegh acegi abcfhi abgj cefgh acghi abgi abcefi bcj e bcfghi cefghi bchj abf abcg acehi bgi abcehi cfgi abefj befj aegj cfg aefhj cfgj cefh egh abc bcegj afgj cj bcegh eghi cefghi bchj bj abgj cfj abcg cegj bcehj bj aehi bcej afhj aej cfj efhi abei ab2c afgj befj efgh ceh cfhi aehj bej bj egh ei ahj abefj beghi cegh cei bcgi abcfj bcfj afg acefgh ahj fgj cefhj abehi befgh bghi beghi aj eh eh chi abgi abfh abcgh bfgh aci cei achj cfj beh ceghi abcghi fj bcefghi acehj cegh aghi cfhi acefj cfgj abeh abcehi agi acef bcgj cegh aehi ci abcfj abcfh agh aegh cefi bei befj abcej aceh abfgi cei befgj aj gj ceghi abcefg afj abcegh b2c abcfhi bceg acefj cfj begh efhi ab2c ghj hj cgj fgh bef abfgi aj abcefh abej aegh acfgi acefi afj bcgj abcj acfg abgj abej bgj egh abcefg cghi bei abfj abcgh bcfhi behi acehj j eh bcfgi begi hj acj bcfhi abhi egj abefi ej abcefgh bgj cehi bfhi bhj acfg cfhj acefhi bcei j aeh acehi abchi gi afgj abhj bceh acefghi abcfghi afhj acfj agh 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bcj ahi abcei abfi fh fhj abhij bfhi ceghi abcfi bchij abcfij f bc bhi abcefgj bcgij acg bi cehi abhj efj aefgi behi abch afhj bcefgj aceij bcfi bcefi cgij acegj abcfgij cegj bci bfgi bcefgj achj bceghi aei acf beghj abeh begij abcfghi abhi fi aefh aegj aei bcfgi efhi ahj befj ch abhi acgi cefhi abcefgj befij aegi ai bchij bcfhj begij acegi bfh bceh abchj abegj agi cfgi agh abefgj cegj abcfij bci bfgi bcefgj abfhj bceij bcfgh eh aceghi cj bcefij bfhij abfgh abehi afhj abgij abehij abei beh bcefgh bcefij abefgi fi ef behij aefgh acefj ceghi bcefi gi hj bcegj abeij acfhi cefhi afhj abj egi bcghi acfgh acegj abcegj acfhj e bch abcgi aej ceij cefgi acfgh ceghi abeghj aegij eij bcgi aci chj ej acefgj begi bcfgh acj cfgij abcfghi efi abefg bgj abcefj abceghj bcefgi abcegij i ghj aefj gij bc abfh gij ej aegj agh egi abefghi abeghj cefij bfh ehi fi aej afhj befgij acefi ceghi afj achij befj ci fi ach bej bhij abcefi abcfgi aefghi aghj bcej efgi cei afgi aegj bfij cghi bchi i bcehij acefghj beij abefi abefi bfi chj ej ei gi abcehij bghj efj abefi bcei abcfghi abcefghi cefj abcghi abi acfgh abghj ahj befj acgi cegh ch abej egj abcfi bcfgi cfh beh ij bhi ci cefghi bfi abcefj abegi acfh acefh befghi abfj abhj eg bci bci bchj ghij aei cfgi acegj abcefhj cej abcegi bcegi aehi abehi efij ej abcfh bgi abgh efj beij abefi aci bcefhi cefhij abcefj cij abcefgi ah ahj abegij gij bch hi egj bej bfhj cefi abchi aghj cej acegj abcfij bci fgi bcefgj cghj befgij gh acfgi ehij abeh ab2c abch ci abeghi aej abfgij egi acfgh abi bcfhj abefhij acegi efgi bcfhi bfhj cefgj aceij bcfh cghij bcj acej cej befgi acefg bcfij abefij cefj bcij ai aefghi bchij acegj acfghi abcei bcefghi abeghi acgij ej egi ce aceghi abcfghj abfgj aefgi abch bcfhi cegh abfhj aceij ag bcefi abcfgh abcgj acegi ci abcfhi abfghj bfhj ceij bei bcfhj bcefhij abcfghj cej cegi abcegi hij abcfj bej bchi ai acefi afgj bcfghj abefgi ghi behi afh acghj abcghj begj abegi aghj acfghi abefj cj cegi acgh bchj abcghj achi abei gh afj abcgj bcefgij fgi bch abcghj ehij abefgh abcgij abcefgh abcehi afgj acefij cefh abci afh abgj abcefj bej bchi cefgh aefgj efghi abcei bcegh abehi acegi bcfj ej aei bcefi cehi efgj acehij aefi cegi acgi bcghj abcghj aej aegi acefgi fgj be efj efgi abci abch acefghi bcgij acfg abcfhij cefi bcehi efgi cej abci bfgi abgj acij cij cefi bgh cfh efghi fgj eij efi bfgh fgi cefj cgij ceghi aceg bh acfhj cefhj acegi efgi abfh abcefgj acefj cf abcefi bcfh aghj efj bhi cegi ahi abefhj acefgj fhi cefgi ai abcgj efhij ghi befi abcegh bcegh aefhj achj afij abehj abgi aceghi aefj acfghj abcfhi efh abcefgij cghj acefgi bei begi abfgj acfhj abcefij acei ghi abcei abefhj ej begi gh abfghi agh afj aeg ehi cgh bfh bcefj efgij bcefi abcfh abehj abcgj bcei abg abcei bcfhi bcehj bej bchi bfhi bgh efghij bghj bghi bhi bcef abefhj achj acfhij begi abgi ai befj befj efgi abhi bcgh cefhi bej bcefj bfghi agi ghj cfhj abcfghj befi bci abcefghij acghj abcefj gi abchi bcehi acj abghj bcefg bcei abcfhi abcfgj bcefj aej acegij abegh aefg behj cefgij begij bhi abcef cfghi abcghj abegi abi abefghij afgj abefj cegi abehi hi acehj begj bcghj ah ah bh bcfh abcfgij acfhi abefi cfj afghj cghj agi ei ef abehj bghj cfghj aeij bhi afgh hij abcghj cgij abegi efg cefghj cfij aegij ci ch abcgh abfghj bcefhij ei bgh aehj aehj bcfij abcgi abcei aeghij acefgj aefhj aei acefgi bh agh acej abcegi befi fgh egj begj abcefj bei acehi bgi bcfhj aij acegi acegi ci afh acfj bfij acehi aefg bcefhj cefgij aefgi efi abcef befhj abefhj bcij abegi acfi bfghi h befj befgi bcei cfhi abfhj bcfgj bfhi bcfh gh acegj cej cfghi abefi acgi cegi bj abegj abei bh afhi abefj bcegj cfhi acei bfh cefhij acefgj cij bei bcghi bcghij afhij cej bghi acegh aij acfj g abcfgi acfgi abceg acegj aeg bfgi bcgh bcgh acefg acfghij cfi cefi abcefi ah aef abcgi abefi acfhi bfh abfhi cefghij afghj agh afhi bcfh bcegj cfij efgi afgh abcfgj acefghij acefhij bi fgij acfgh bcgj acgi bghi abefgi bcgh abcegh bfghj acij ei h efg ehj abefgi befgi abch abfh abj ei bchi gh bh abh efj abcegi fgh efgi cegh acghj bceij bcefi aefg agi bcegj bchij cgi bcfghi

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *512518