Details Page for 0.6444

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2050
P-Portion Size:   2
Tame?   Yes

MSV File: q-0.6444.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
362
5102
9182
27342
80662
1791302
4922582
9955142
215710262
623220502

(Click on a heap to see details)

Details for Q2157(0.6444):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b3=b, b2c=c, c2=b2, b2d=d, d2=b2, b2e=e, e2=b2, b2f=f, f2=b2, b2g=g, g2=b2, b2h=h, h2=b2, b2i=i, i2=b2, b2j=j, j2=b2>

P = {a, b2}

Phi = 1 1 a b ab c ac bc abc d ab b bd abd abc bc ac c ab b ab2 ad d c ac bd cd e d b ab c ac bc e bcd d be bd ce e ae ac c abe b bd bce ad d acde cd ae e de ade ab ce ac c acd abc d ad abd bd cde abce abcde ac bde abde abd bd ad bcde bcd abe be ac f d b bf acde cde f ac ae ad bd acf acde bcde abcde abf ac c bde abcf bcf d abcde abf bf bdf be abcf cf abcde acf cde f af ac d e acf cde ace bcdf bcde abf bde abde ef bcf bcde ad bce abd bdf c ac ae abcdf cdf bcde bf f df adf e bd acf ce ace abcef f abf acdef abe ef cf bcdf bce bd abdf abe ac c abcdf abcf abce cde ace acde d e bc cdf c ce ace acde bcde bf ae c g abcdf d ad bd abd bcef cdef ef e cdf cf bcde abf df abcef e bcd cdf cf g acde af bf cef acdef g ag abcf bce d bdf bf abf ae g de acdf abcde ad cde g abcef ae bg acf abef g aef af bc bf acdg g bcdf abcf bcde cg bf abf acef f g beg abeg cde acde acdg af be cdef g e cdf abd abcg acdg abcef bf g abdg adg bcdf beg cg bcg cef f af aef bcde abcde acde ad bcg df be abdg g ae abdef ef bcg cdg ade abdf aceg g abe abcf bcg abeg bdf cdef f ag ceg aceg ac abdef acdg deg df abcdef abg g bdef ef bcdf acdg bcef beg acde ade g ag acf e cg bcg beg bcde adf bdg ceg bdef cdg abcdg bcg af f g bg cf abcf aef cdg acdg cef abf abc e bcdf cf fg cg bcg cef bcef ag abdg aef cdf bdef abcg adeg beg abe abg bg afg abcdf abcg bdfg beg cdef abdf abcde abcd acde abcf acf e abcfg aefg adf g ceg aceg abcde ad abcf aeg af bcfg ag g abcefg abcde abcf abcdg beg bcdfg abf ag bceg abd be cf acg ade cef f adg abg adfg acf e bcg be c ceg bf aceg bcde bcf bcdf bcdg beg bdf abf abceg bd ceg abd cf abcg abc abcdfg f acde abdg abd abcde fg be abdeg af abf abg abcde abceg abcf adef acdg abdeg abf af abce ad ceg abd bef abdeg e abcfg f aceg cde ceg cf adeg deg acfg af abf bcde d abcde cde bcf abdfg abeg af f d abcdefg bfg bdfg cf ae deg f df cdfg cde bdg acf ae bcefg deg df abf h ah cdf abcf bdfg ch bdeg bf abcdfg abefg acde cde abcf acdf ade eg af cdfg cde acde d abdef abef e abe abde cdfg aceg bcde bceg cefg abdfg acdg h e ae g ad cde bdfg dfg abeg abcdfg acdfg af aceg adg d cf fg ae bdeg cdfg aefg acde abcde dg abcf abdfg abdeg bcdg ae bcfg abdefg abceg def cdefg dfg ah abcdg efg abefg abceg acde bfg d acdefg abdeg cg bcdg h ah bch acde bcf abdfg bdh ae bcg bcdfg ah cdh abcf cde dfg cdg adh abceg acfg cdh cde g afg bch adeg af abefg h acde bch abch abdfg acefg bdh e ae cdfg ah acde ach cefg abdeg bch abeh h cfg ceh acdh afg abcdefg beh bdeh bh abh abcdfg af acde bch bfg cefg e eh efg abcfg aceh ceh abdfg cefg afg abcdefg h abdh cfg ceh abcdeh adeh fh acdefg bde bfh acdfg abcdfg bch acdh abcdh abdeh abcdefg acfh abdh ah abdeg aceh cde bcde fg eh adeh abdh dh acfg acdh bcdh abcdeh adfg bcdefg bdeh abcdfh adfh bcdg bcfg bfh abfh bfg af fg eh abf befg cdfg bfh adfh abcdfh dfg cdfh abdh cfg bdefg acdh befh cf adeg bdfg beh abeh abdefg abc abcdfg bdfh abfh cdefg cfh bcef h acef abcdfg abcf bfh defh abcdefg acefg bf acfh c cdfg abcdefh fh deh adfg abdfg cfh adefh adefg ae ceg acf bgh acde bfg adfg acgh bceh acdfg aceh beh bgh dfg adfg abcdh ceg bdh cde fh abcefh bgh cdg acefg dgh defh ceh abc abgh cefh cdh def cdfh cgh bceh abcdfg bcfg cfg defh abcdf acgh abc befh abg bd abcdfg abfh abgh fg adeh bfg bcdfh abceg acgh bdg abdfh acefh dgh e abcfh abcdefg bceg abefh bcdgh egh bcdg abfg abcdefh afg cdfh bg cfg adefg abcdfg abfh bgh acefh bcdgh cde bceg bceh abcfg bdfh cdg bcdg abgh abcdfh defh bf acgh bdfh abdfh bcef abcde fg bgh befh bg cfg efg fh deg cefh abgh adfg bcdfh g bcfg bf aceh deg acg abcf abdegh ag ceg h acgh acefh aegh aeg bgh cegh befh g f acdh fh cg acf bfg dgh efh g bceg acfg bgh abdeg adeg bcdf dgh abce acdfh aceg bcde egh bcg acdg acefg ceh dfgh acfh bceg abfgh ad cdg cf adgh abcefg ac bceg ceh ad acgh cg acdg adeg abcfh bcdeg abcde bcde abdeh abdegh bcf acf cdf efgh cdh abefgh g abd bcefh cdg cg adgh dfgh bcfh abceg aceg cgh cefh bd fh adeg bcde cdh bf bg defgh bcdefh bcdg adeg acf bcd bg g acgh bd abdegh deg acdg acdfh cdefgh ag bceg acgh bdegh eh deg bcg abcdg ae aceh cdfh abf aegh egh ae ah bcde abe bceh g ag cdh abd acefh acdg abceh bcegh adfg bceg bf bdegh adeh abeg abcdg cde bdeh acdh abf aceg aegh cfgh bcdg cdg abgh bcefgh abg abcdeg ag i abdeh cdg acdg adefgh abc dg g aceg e i d deg bdeg ah ci bg ceg abcdgh fh cde bdeg acf ae e g ag deh acdfgh cg acdg i abcefgh g aceh cde bch d bcde bcdg cdeh ci bc ceg i ai ad abcdg acg be abci bcdegh ag bceg abf ad bf acdg i agh bceg bgh abcefgh adi bdeg abdefgh bcdefh abcf bcdfh cfh abdg i bcgh cde acdh abeg bcdf ceg ae be g beh abfh cdg efgh dgh abi bdegh bg acdeg bdefgh abfh abcdi bcdg abcegh acdfg ceg adfgh bi cde afh acdi d cdf adefg be acefgh abdegh abfg acde cde bcfgh ci adgh abi abg acdeg af adi cde abcdg aceh bdefg abcefgh bg adeh abcgh acde ad d abdeg cdf bcefgh g aceg abi bci cdg abcdg cdfh abefg abef be bg bdfh bcdi bd cde acde acdi ceg abg g adeh acefg adeg abdi bcdeh bcfg adeh abe af dfh acde ad cde adefgh abei abefg cdefgh acei abcdefg adeg cde abcdg bdh bi aceg ceg abcdei acfi acde abd acef abcfh acdi dfgh ag ci abcdefh acde ai adeh bdi befg ac ae abdfh cei d efgh i befg adei ceg e bcefgh abcei acde cde abcdg abdi abcfg be ceg abg bdfg bcdefg d acfh bdi abefg bcdf fh dgh abcdi abcdfgh abcdg cde bdefg aci bcfg e cdf cdefh acdefg b bdi acdfh cfi cfg c acf cdh abcefg afg acde cfi befg abdefg bg bcdi abcei bi acde cde adei acdfg ade dfgh befi abdefgh adfg cde efgh aceh bcfi ceg g cdh adei fg ad cde cdfh cfg cdfg acdh adei adfi cefg bcde adeg ci bcfi bg e cdi beh bdfg acdg efgh acdfh bci aceh cefgh afh ai acdg d bcei cdi befg ag abceg e abcdefg acdefg bdefgh cde cdh bcfg bc ae abefi afh acdefg cdi abcei ceh bci abefi bdfi abcdf abgi abcefg acdefi abcei abf acdfg abefg abi fg cf acdg acde bcefi acfi aceg adi abdfgh abe acdi acdefg cdi efgh bcei bcfi cgh acefgh abde bcdf adfg d abd cdfh aegh bei be efi bcfgh abdef ab cde af abdei abf ae abdefi cdefg adef abd bdh acgi ceg i afh abcdefh bcdefh abcdefg acdfgh befh g bdefg aegh bc afh bgh ai cefi cde bcgh aefi afgh cdefgh adfg agh bfg bdfi abcde bdi begh dgi c aci gh abcdefg ad abd cde g beh dei cfi abgh egi cdefg aegi d acdh abdefg ae abe dgh gh cdei bcde abf cdgh bdefg abcgi adgh ae abcdefg bcde bdegh bi abcdgh ag abcegh ai bdef acdefg cdfgh bi aceh cef abdfh acdegh acdi def ah bdh abefgh abf bfi cdgi be abcdf gh bgh cei bcde agi df bcfi efi adfg acdf abgh ceh afgi degh bf bcdefi bcdefgh abgh aef abdei ah abcde i adeh acdefi bci bcdegh abcdi bdef adefgh bcde ag bcef acdh ci adfg abgh acdefg abdh bcde abcef aceg adeh abcei abefi egi abcdf bi abcgi cdef abf cdefi aegi gi abei cf abgh adefgh bcdgh d adeh abcdfgi adfg acf cdegh bcdf acdi adi cdefi agi abch bdei acdefg abcdf abh bdegi cdef bf acdi acefgi abcdefg aegi abef abefh ai ad df aci abch abdgi bdef fh bcdefi bcdgi acei abf abefi bcdefh egi aef bcf bi aceh abdegh abf g bfgi acei cf bcgi ai d aegh df abf cdh acdfgi bdef adefh abdh bfgh abcgh bf bcdh cdh efi ac dgh bcgi bcdefi cdef bf abcef bcefgi abdeh bcfgi acf bcdeh abcefgh ai bcdgh acdh abdei bdfi cf bcdf adi bfgh abi af befi defgh abhi bcegh cf bi abcdfgi abdegh f efh ch beh bdgh cf bhi i egh degh aefi aegi adeh abcefg gh bdefgi bi abdefgi bf cgh agi defh abcf abcdefh abcfi abcdfgi adfgh f af cdi efh bcdefg bdef befgi adgi abcdefh egh acdef acde adfg acfi bcdgi bcfi abdfgh cfg cefgi cdegi abdefi befi hi abefgi dei adfgh h bcde cdhi dgh cdegi acdi acdegi i abcei cdfg abf adgi acdi efgh abcdi bdhi abdhi abdfgh cefh cgh abegh abhi bdfg ci abcdegh abcfi bchi abdf bdhi abefg bcdi acde adeh befi defgi acdefgh cdfg cdefi begi bcdfgh ad efgh abcdf abcfgi achi bcdhi cef cdefi bcdegi abefh abcf adei efi afgh befg abcef abcgi acefgi abhi abef def defgi bcdeh af befg acdfgi dhi bdhi bcdi acdf cdhi ac bcefgh efg bcde ad deh abdfg bcfi chi bcfg cgh bdfh dhi abdefgh abdei abcefg abcdefgi abefi begi cfg cdfg cdefi cefgi d bcdi cehi c ac ae dehi cdefi acde dgh adfg g abdefi ae acgh abcef hi bdefgh abeh abdeg cdegi dfgh befg c abi abf aefgh d abfgi abcdi ac acdefgh e ahi bdgi acdfh abefgh acdefg abchi adfgh bc abcgi ahi abdehi cfgh acdi acde ceg dfgh acefgh c efg dgi ad abce bdfg cdf abfgh abehi abcfg bhi acdfhi bfh bd bcdefg adefi abcdhi bcfg abceh bdefg bcdefi acdg cde bcde cf acfhi aegi ae befg acdfhi abcdi abcdefg bcdi dei bdehi abfgh defg ae bdfi cdefi bdefgh abcdefg abehi acgh afgh ahi abefg bcdefi acde bcdfgh g bdefh cfi e bdhi cdfhi abcdefi cfhi abdefi cdehi befh abcdi dehi ae cdg adgi bdefhi cfgh g abi acdi adfgh adehi abdh cfhi abd cde abcde efhi ae abe cdefi acei aefg adeg abdfi deh aceg dehi efhi e abefg acdghi abefhi abcefgi abcegi cghi e dfgh cgi abcghi dfi abcdg acde bdgi bdfhi acgh ac befg acdhi bcehi aefgh acde abfhi abg g abceg acdghi abcdfgi dei beghi cde adfhi defh cdhi cdefi ah cfg adeg acfgh aefi eh deh aceg abcdfhi e aceh abcdefh acde bcghi abdfg abhi bcdgh e ae cdeh adfi acde abcdg bi ad ai e abe aefg acde abcdg d aceghi ceg aceg abcdfh acdefi abcdi cefhi ad bgh cdefg bi ag bf aefg abf acdg deg acde abcei bceg g e ae efi befgh cde acde acgh cgh cfi ae acdefgh cgi adeg deg abdgi bcghi egh g abe bc bcdfgi acdegh cde bgi bcdf g abf ceg efi degi abefg cdg adgi i acdefg g acgi acdefgh bcgi aceh ad cdg abchi abcfh g ag i cfi bdeg bcdeghi fghi acei cdefgi ae acgh cfg befgh abcdeghi dfh fghi cefh bcdefg g abcef bcfi fh acdg cdg abcde achi aegh efi g bcdfghi abefi efgh bcg bcdf fghi abdehi aceg c acdfgi acefgi egi bd acdghi bcdhi abdegh abcdefgi e acfgi agh cdegh cf bchi cdghi cefgi g dei h aefgh adefgi bcde bcdefh i defhi g abg abcdeghi egi befg adeg acf cdhi bdfghi abcef g abcdi adfi defgi cdg achi adehi bcefgi g ag adhi bdefgh ceghi cde acde cdefgh acgh abf ac befh abdefgi fh bcefh aefi fgh bi ag e cfgh bcdfgh abdfi aceh abcg dghi abdehi g ceg abcdefi bcdeh d abcdf bcefhi bcde bcefgi bf g bcdefhi abdefghi dgh adfh abdeg bcdefghi j abefh bceg acfhi bcdi bcfgh cdg bdfh bdefhi abdeh g bcef bcdfgh cdi cde cgi fh acefhi cefi cgh e bcdehi cdhi abdefghi adeg cefh abefi afgi abfghi ag bcdi acdf efgh acdg adefhi bfgh j c ceg aceg abcei bdefgi deg ai j afgh g ac bcdefhi abci j abcgi ad dfgh abj h bcef abcefi acdghi cdj bdeg befi aj abdfgi j ag efgh abcghi adefgh deg acdg acefgh abfgh dfgh abdg abefh cdfgi bdefgh cdg acdg bcdhi aeghi bcfh ag bceghi adfi efgh cdg acefghi deg cdefgh bfgi abg acghi abcdefg bcdfgi abcdegh cde acdefgh efi aceg dhi abch bdfg abehi bcdg adeg j aj abdefghi abceg abcdefg acdefg bcfgh bcde adefgi cfi abcdefi abcefgi acfh dgh abefhi ai j acde ceh cfi ae acfh bcj abcj bj aj cdg ae abcdeh abcj bde abefh cdj acde d adeghi ah aceh ac bcfh abgh bcdefg abcdefh bcefh acdg abcefhi befg ceg cdfh dgi bcdegi cde acdh acdefh bcfg bcdeh ae ahi dfi abdfg fg acdg deg efg cdefgh j abcdegi ceg abcdefg dgi defgi acdefh bh aj ae ahi deh bfghi cde adeg acdg bcfg befg aefi ag cdefi acegh abch acde abcdefi af acdfg aj ceg acdegi bcdefg efgh bcefh cde acdefi abcdeh j abefhi ac cefg d cde cgh abcfg efi abdehi abfgi cdh bcdfgi dfg bcde aj acfi cfg abcefgh abg bdgi bcdefg adeghi cde acgh acgi ae aceg bgh aefhi acde abd cde j efi abcdeh c bdgi abcdefi beh bcde begh abegh bcghi befg e acdegi abcdghi abcdefg cdefg acde j befg bcfg bcdi adfgh bcefi ag acdh abcde abefi adfgh abcdeh bfgh abcdegh bcdfhi dfg aefgh bi abcdgh j ceh adj bcefgh abcj abcdefg bdfg bdefgh aefi abefg bcfg abghi j dgh bdfg ch adj dj cgi ceghi aefhi abej bdgi adfg abce adeh defghi bcdeghi befg e bcdj bdgi abcdefg acde cdh j f ae bcdi bdgh cj bfg acefgi aegh abcgi abegi abdghi ac bcdf bdef bcdefg adfg bchi bj acef bcfg abcj aceg abcdf cdefi abcdefg abcdefhi j f ae abcdi fghi dgh abcdf bcdefg cefhi abcde bj befg acdfg acfhi bcdefi adeh d bj acfj cei abdefg abcj e bcdi cdf bcdf achi afhi j abcef bcdi acdegh adgi cdefg bd bdefgi abdefhi bcfg befg ac be abcfhi abcefg behi bdfh bcei acfg dj be adei bcdfgi j dfg cde abcdgh abegi ah adefg cdegh acdegh bdfg abcdefg befghi adefgh acdfh abefg ceghi afghi abcf abcefg bcdefg cde deghi abcef acdfg h adefgi deh bdfg abdfg acdh egh bf bcfg abcj abdei adhi cj cdegi j aj af aefg bfgh abcegh dgh acfi abdeghi i cei abcdj ceh efg defgi abdef acdf cdh bfhi bcdgh abf acdefhi bdj bcj abcegh abcdf acdefi afhi j acfh cfg abf bdej bcdf cdf bcdefg cdej g abcdgh ceh bcj bdgi abfh bdfg acdefi aj g abcef defg acj bgh abcegh fh abefi bcdefi j abf ceh adei e dgh bcdf abej efghi bdefghi g abcef bcefhi dgi abgh abdfh bfgi aegh acdej d cdj adfj dfj adeg bdj j bj acdfghi bf cef abcdj adgh adef ad deh cej abcfh f befg dej abdgi bdej cfi bj aj j df acdef bdej adhi abdeh abcdf cej bdfi aceg cde abcfh begi abdfj befj acdf bcdefhi abi abcfh af cef bcdefi adeh aefj bdef bcdefg aj acdeghi abcdj abf bcdi adfj bcdefh bcdf cfj bj abj abf cdfgi defgi abehi efi bfgh i abcei acdefi bf bdfj bdej adej deh aefj acdhi e befh abcde bd abej aefj abdefj adef abcfi abgj j bcdfh ceh bcghi adei cj bdef cdegh g abcgi abh cdi abdefgh cj bcefghi abcdf def abdfg abcgh acdef cef bdei abcdfhi aefi abcdf bj bcegj cgi bf cdfgi defhi bcdefghi abdgi abdef bcdefg abdj j ah adfj bcj cdj acdfj bdef abcdf adj abdgj bcgi bf adej cj befj bgj aegi abcefgh cdfghi acgj adfj cdegi cdfgi abej bdef acgi bj bcefhi g abi bdefgh adefgi deh cefgi adj bcegj abi bcfg cefj d abcdi aefhi abcdf afgi bdgi egi dfj aegh d bi bdfhi deh h ac ah abdghi abdfj cef acj abefi abcdf ae aefi abefg h cgh aefgh deh abefj bcegh acefgh befi bcefgi cdefj acdefj abdefgh bdefgh acdi befj j abcdefghi degj abefg adej cde adeh acdh bcdf abcdf abcfh abcefhi bcdj eghi cde agj acdh abdef bfgh acdegh abceh adfj dfi cde cefh abdgj deh acf dfgh aefh abcdefj cj cdefj adfj bchi acdegh aghi aceh cdefgh cefj abdfi cde eghi befj abcfi acfi abe acgi ae bdgi bd abcde deh abdef abdgh abfgi cefgh abcdeghi bcef cdefi d cde dj bcfj bcgj ac abceh acdefi dfhi bcfhi acde efi abj bcej fgh bdfghi ceh ad abdfg deh bdef acgj bcefgh bde ceh cei acdefi bcdefg acfgh abcdf abcdfj cdefgh ac bcgi acdj cefh acdfgi abcdghi abj abcdf befh abcdefgh aceh adfj dfh cde acde bcdfj adei bcefgh c acei abdefgh cdefh cde i efj cfj ceh abe bdfi bdefhi abcdghi bgj beh acfj aegi bghi e ceh 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gij ghj efi abcgi dfgh bdhj acdefi dgi befgh cde eij bcdefg abcei acdeij befg abcdefi acde abdgi bdfg abcefhj abdghj bcgi aegi dij adfj cdefj abdeghi abcij aehj aghj adfhij abcefgh abdegij acdefi abdfj bdeh aehj bcefgj abchi abcgi begi bcfg bcghj dgi adefgh achj cfghj abcefgh abefj adij abf cdefi acdg bdefgh bcdf bcdhj efi ehi bcdeij acdehj dfj adej abcij ehj abcefhj bghj acfghi bhj bdegij acdfgi dfj adeghj bcdi cefgi befj bfhj abcdeij abf adefgi acdefgij abgij abchj afgi abcej abcfj abcgi acdehj bcdefi adfi abeghj eij befi abfhi acefgi acefhi abdhj acdefgij bf deh bceghi efj cgi degij bcgi cdegj abcdegj acdegh cdi abcdefg dgh aj cfi ai abdhj abdfghi acdefj cdehij beij abcfj acfi abcfh abdefgj cdefj bf abcdefh acdegi bj aceghi acgi acdgij bdfghj abcdefghj defgi dgi abcdefg adefhi acefhj acfi efj acdeij bf bcdfhij bcdfgj abcfgij abcdf bcfj i aghj bdij abcdfgj abdfj dgh bdgh abcdefg acdh befi abceghi adij degij abcdehi deghj dgh aj abefj bcefgi acgi acdeij cdeij acdfgi bdfi abcdhij aj i abcefgi abdefij acdeij adfghj acdfgj abdefgj abcde abeij bcdhj cefgi eij cdefgij abdhj abdefgj bdgi gij agij aj aefi bdefij cef abdfghj bdfj abcdg abfij j acdegi acfi e adegij acdefj acdfgi acde eij acfghj afgi abcdefgij abcefhi acdehj bcefgh adefgi acij adgi acdfghj achj bcei egi bdefij defgi acdfgi acdghj abcdegh abj afgi ehi aefj abcdeij bdefgj bcdefi dfghi abcij adefhi bfgi bcfh aegh dfghj bdeghj bdfh

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *10241024