Details Page for 0.7356

Complete Solution is Known:

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

MSV File: q-0.7356.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5102
11182
23342
96662
1841302
4592582
10455142
225410262
484220502

(Click on a heap to see details)

Details for Q1045(0.7356):

Q = <a,b,c,d,e,f,g,h,i | 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>

P = {a, b2}

Phi = 1 a b ab b2 c ac ab2 abc ab ab2 d b ab2 bc bd abd ac ad acd bcd b abd e b d c ab bc ab2 ae be c ab ad c acd bd bcd ab abc d e abc abd b be ce b abc ace bd acd ad e acd ad abd bc ab2 abd de b ab abc e ae c d bde ce d abde ace bcd bd abd d cd acd cde abc ac ab2 e ce ab2 bde ce bce bc bcde abe bc bd d f bd d ce abcde e f abe bf b ab ab2 bc abd bf f abcde ad f cf ad bdf ce abcd acd b ae bcf b bf cde b bc abc cf bde ad ef bf acde df ae cde ab bf bce be abde e b abc bcd bd af bde bcf abdf cdf b d ab2 cd acd bdf cf ef bcf bcef bde def abef abc bcf bf cd abcf af cd abcf bef bdef abcf c acde acdf e b ade g bc abc abde cde abcd de cf abcd abd bdef ad e cd be ce ab2 bc acdef acf bc b adf d acdf acd acef g acd ade bcde ae abdf g bcef ace ab abcdef cef ab abcef abe af df g bdef bcf acf cde bcef be abc abg ae ace g ag abc ac cg bcd ce bef bcf acf df cde cd abef cde cdef abef ce bdef ab g dg ab g af cde abdf bdef cde abdf ade bdg abcf ade b cef adg b g cdg cdef bcf acg bcg bde cd beg cde g aeg acde acg abef bd abe cdg abcdg ceg bg ace aeg abeg acg acef cd acg abef bcde bde abdeg g bc abcdg acd bde afg g bceg abe ce abc adef acg abcg aeg bdg bcf bf abdeg acdg abcdg bdg acdf adg aeg abceg adef abcef bdf beg adeg be fg bf bdg aef bf bdg abg acd bcdeg dg bde b ef abcdg bdef abg bceg acg be abde abfg be e bcde bdf e bde bcdef bcg abef abcdf abceg def abcdef abd b abcdef bc bef ac ce afg bf cf fg bf aef bcdg ade abfg beg be aef abd abcdg bdef adf bcdef dg bcdeg abf cde abeg acdfg abcde deg bcfg efg abcd acdf abdf abde abceg abcdg adf acdf fg ab bc bcdg adg abdeg bcdg abdfg acfg abcdeg bfg cef eg adg acdf g bcdef efg bcef abcdef beg bcef bceg acfg ag bcdef abef abdeg abcdeg cg adef ad adg adefg defg acdf abcd bdg acdeg bf abce bcg h abcdg acde ade abf abh abcdeg cefg bdfg d b bdfg defg h eg bdef abcdfg bdf de abcf e de fg e h ah bc abh abce ach be bcde bdef acdef bce abef bcdef bcde abcf acfg bcg af bf h af bcdf h bh bcdf ach bdg ab bdf de g adh bce bdfg adh abdh bdh c bd ce cef abcdeg acdf abcef af cg abh adf bcde bcg ah abcdeg abdef acdeg abcdeg ac deg ef bdh f abfg bdg acdf bcef aceg bceg cefg ah abdf acfg bde bcdef bcde abf ce bcdeg abg adg abeh h acdeg abh bf abfg cd adh eg acg ah bdef abceg ah acdfg bc aef cde bh e cde cdg abch ah acfg bdef abef acfg fg ad bcdfg efg adh abdf cefg bcdefg abdh bf h acdh fg h cdfg abcg acdf bcdefg bd abcdef bh deg bdfg bdg abdh bcd befg afg bde h abdefg ab bcdf acdefg aceg ach cdf abeh aeg abch bch ach bdef acfg acd eh abcdfg abeh eh bdeh abdeg abdh ceh deg abdf acef abcdefg aeg abcg acfg aeg bfh bdfg bh abcdh efg abcf acde bch cdef dh abch aceh h bcfh bceh abfh adf abdh ceg adf abdh bcdfh eg abh ch dh acdef bceh bcg bcef cdefg abcdeh ade adg ceg acdef acg adh d abeh adh bg adeg ah abcdg ceh abfh adg ade abdeg acfg cdh aceh bcdf def df ace deh aeg abcdeh efh g bdfh bceh aeg abeh acdefh bcdfh bh abdh ah ace d abch cfh g aceg abf abdfg efh ce bdh bcdeh beh b fg abcdfh acefh ceg adh aceh abcdeg d ade bdeh abe ade cdefh abe cdef bce b ceg afh abe bf abdeg bcefh abceh gh bdfh bde abcdefg bdeg bceh abdh d acdeg bfh abe cdefh cdg abcdfg abdf abcf cf efh bgh abdfh ceg cgh cdef bcg adef cd cdeh bcdeh dh bgh cdg beg abcef abe bcdefg abcgh bde dfh bdef acdefg bf acdf def aceh acdh acegh deg ceg bcd gh adeh bdg df bcdefg bcdeg abceh bf bcdfh bgh aceg bcgh cdeh aceg c bh bcdfg adeh adef bcdfg adeh acdeg abceg adeh abdeg cdgh efh abeh acd ag ach bch deh afh abch bcdfg bdgh bcef abgh bce abeh b abdgh cdg acefg dfh ab2 abceg eh cegh adeh fg afh acfg fg bcdf bcdeh ae cdg befg abcdfh bde aefg abcf bde fg abcf ag abg abcgh ag acgh cdefh bcdef abcdeh fg acdgh abdg fg abcdfh abcdh eg acd bdg abdfh ceg abfg ach aeg abfg abcdfg agh bg bdeg acd acdgh abcdfg abe acdgh abcfh acfg acdegh abcf dgh abceh acd abdefg bcefg cg ade cfh abdgh abg abdfh abdgh adeg abdef afgh cdgh bcefg cdefh bcef eh aeg degh gh abe abcefh bcdh abe acdgh bcfgh cdf abcde bcefh aceg df abcf abcdg adeh abdfh abcdg cfgh bh begh abg bcf afgh cdfgh abgh bdeh abdegh bcgh adeh abeh cdeh bcefg abdh abcfgh cdfgh dfgh abceh acdegh bfgh ace abdfg aegh acfh abdeg cdgh bf acd abcdeh acdeh ad abdh abce afg abeh bcdeg abef bcdfh abcdfg aefg adf aegh bcg bdef acdef bf bcdeg abcdgh bdg abc acdegh adefh bfgh bce abefgh cef abdfh acdf adfgh af dh abdegh ab2 beh abegh bdg abceg deh cfh abefgh bcdeh cdefgh bcefg aefg cdeh acfh abch ach acef beh befh acdfg abceg eh cdegh abdefgh acdf acg abcdgh adg aeg adf abcdg i ai acd abcdefgh acdeg af dfgh ag beg aceh ace bcg adefgh abe abcfh e afh bdgh aegh i bf aegh i bde abcegh cdfg bi ef deg adef adf ai cdegh bcg adg beh bi bdefg dh cfgh cegh ef bi aeh ai bi abceh cefh bcdfg cdeh bdg abcfh acdegh ag afgh bcdegh df acg deg i bi deg efh bgh abcefgh abcdef def eg abdg df bci abdefg bcdgh aefgh ai abdfh cfg ai defgh bdgh abfg acg acdegh bdg abceh bdi i afg abci di afg defg di degh cdefh abe acdfh ade bf bdefh aegh cfg abcdef cdef abef abcegh afh abcefh bci bdi abcefg abcdef acdeg abcdg abdefg ai i defgh abdfh abi acdfgh bdg acg eh acdefg abfgh bdefg acdefg adeg bcef beh abdegh bcdi abi adefh bcgh bci df ei bi abef bcdf c adh abceg bce abdgh adi abi bci abdefgh bcdf abcei befg cefg bei abef bcdh abcf ceg cfg adefh di acdfgh acfh ei bdi cdg acdf bcd ac abdg bdi dgh cdgh fg c adi abdeg afgh adi bcgh acei adi bh dg abdg adef abdegh bcdfg adef abdeh abcefg cfg ei acdi aceh aefg bch bdi aegh bcg aceh bcdei abdei acdeg acdefg degh acdeg ei abdegh abi acdefh acdfgh acdi aeg cdfh acg bi bcgh ceg bcfh aci ceg b abcef adgh af bcefh bdgh abdeg abde befg acdf cdf abch cdeh ai acgh abcfg bcef adegh efh acfg abcdg cdi abcefh abdefg ef dgh aefg abcefg aci adefgh cefg abfg bcdei bcgh g bf bci dh acei aeg acdef bef acdefgh adh abcdei bcdfi abfh bcdefh acdefg abeh dh afi abi adi fi aegh acefh abcegh bi abci abdei bi adi bcefgh bcdefh d bcefg bi acfh abcdfh fh cdg defg abcdh defgh abcefh fg bei cdefgh cfi efh cdegh deg cdfg df abcdei ci abc cei abci acdi abcdei abfg cdeh bcde abe efi abc cdfi cei ci bcg aeg deg abdeg acdefh abi bcdf bcdg abfg acegh bf ei abc acdeg dgh abcdefgh cegh acfgh abdh bdg cdi ei afi cefgh abcefg defgh egh begh cfi abfi i abci cdef aei aefgh adfi cei abcdh adfi bceh bcfgh bdg abegh eg adei abdei bcdefgh acef ei dgh adh befi ab2 acefh acdi bcdh adfi defgh befgh abc acdi abcdefgh abcdegh acdh acfg efi abefi acdfgh aceh cgh eg cdei befi adg bfh cefh aegh aei fh adei bcefg dfg cdeh adeh adef bcef abcefg adefh bdi abcefg abi acdefg i acdi cdgh abcegh aceh di cdfg egh abi abcfi abc cgi aei fg defgh ef cefi adegh fh bdfi bfg adef abgh bdfh acdei abeh abcefgh abcdfi aei acfi acdi abcdei abci acdi abdei acd bfi abg aegh cei abg bc aefgh abdei abdi bcdfi acei bgi acdfi acd bcdefgh aefi acdgh befi cdeh bcfi acfi bdefg bdgi bcdfg abegi agi bcdfg acefgh cdeg befi abcdfi aefi gi abcdeh abcefi afgh cgi cf abceg abcd bcfi abceg bcdei bcg bfgi afi deg dfi adefh adfh aefi acei abef bcdei cfgh egh abdgi abi abcdgi bdg abcdfg cdgi abcegh acdf cdefi abcgi e bcdi abdgh befgh bdefg bdgi acdegh abcegi afh deg agi abcgh bdegh egi e cfi abefh bcei abdefi adef adfi abcdei acei adi acdefg aeg ag acefg dfg afgi ab2 begi bci aefi ab afgi abch d bce abfgi bdgi ei adfi adfh acfg bcgh cdei fg bdfg abcdefgh adef bdfg abegh bcef bfgi ei deh cgh ade adef dei bdfgh agi abci degi af bcdgi abceh b abcde abceh ad acef ei bdef adei abdf cdfi abcdgi acfi acfgi abceg acfi bde bdgi bcg abcefgi abc abcdefg defg abc bcfgi cgi b abcdei abdfgh dh bdfgi abf cei abcei bdefg abefi ade cdegi deg abdei bcgh adfh dh dgh acdegi bdef bei befi bcdefgi bcdfgi acdei abefgh bcdegh acefh cefgi abdegi adfgi abcei bcdfgh begi abcdgi bdgi cg acdegi dh abefh abdegi bcefh i bdef dgi bcdi begi efgi bcdi adefgi bcf fi acdgh bcdegi degi bdei egi bchi aeg abdefg dh aci bd abcdfi cfh acdfi adfgh cefgi bcefgi bcefi df abcdegi aceh acefgi abdefg abcdhi abdg fg acei acgi acefi abcdefi afgh bhi adfgi adh bcdfi bdfgh acefgh acdei bfh bdhi bcf bfi abefg abdei adhi degi abcdeh bdfg g begi acdi abei acdh acdegi abc abd aeg bchi ch bgh cdei adhi efgi bfi abcefgi achi aegh abeg cegi di acdf abgh dei abcegi bdei agi achi acdegi g cf bcdefg abcefi acdef degi abefgi adf adgh abcegi chi dhi cdg bcdfgi abdfi bdfg bcdei acefgi abchi acehi ade cdefgh ci defg ehi cdegi chi adef cdehi abcefgi afgi abefh abdfgi afgi bcdeg acdei cdfi acefi adeh gh acfgi adi acfg bf hi degi bcdfgi abcfi bdhi abefh bdfgh aefgh cefi ef cdgh cdg ahi bcde abcfgh befi bcfhi bhi agh abcdehi ch abfi abcegi defg abhi bcd dfhi acdhi abefh adi acgi adhi adefh adehi defg fi abdefh cdeh bcdhi afhi acdh aehi abdeg egh bdfgh adhi achi bhi bcf cdfgh adf bcdfi acgi aehi aefgh bdefh ad afh acfg cdef acg abcdefgh adef abcdfgh ace abcefg bcfhi bdi acdefgi abeh egh cdfgh bh egh cdegi bdgi afh acdefi bdef abfhi bfi efgi abgh fgi bdegi aehi abcdfg abefhi bci abcdfg abdefi abdi df bcdeg adefgh bcdh abchi abci acfhi cdhi abdf acd bdfg bcdhi befh cefgh acg abdeg ceg ef acefi cdefhi d bcegh g ahi bcehi cegi aefhi acg abcfgh b bdehi bfi egh bdehi cdefgi abcef bf abdfi abcef begh ab2 abghi ef adgi befhi aceg bcei abcegh dfi b ab2 dfi gh bcdefi adgh bcdfg abcdgi abdefg acfg abdfgi dh adegi bcdfhi bcef dfh bdgh adfi abcg g cfi bcehi fg cefhi afh abdefhi befhi cf aghi acdfh adehi aghi abdegh bcdh abdefh cefhi acdeg achi adef befg abci adeh bcdi cdefi cdehi abegi e abcdhi abfgh aehi acd abcd abcehi acdehi ghi fg abgh cdefi abchi adefi cehi abdfhi aeg di eh acdefgi af abcdgi bcdghi acgh abg abdefhi abe acdegh bcdefgh cdfg defhi bci acdfi abcfgi ch bchi abceg adgi bch adg aefhi dh bcgh adeh cfgh cdh aefgh cegh abcdefhi abcfhi bdg bcehi abcfgh eh abh adghi agi beh abcde abei abfi bf bi abdeg bcdegi bcegh abcdg cfg abfg egi acdf begi dfh bdfhi bcdefgi bcegi acg acdefhi befgi abceghi bf adgi d cf abdefh abcdefhi fghi bdfgi ade fgh abcegi acdehi bcdf bcdef acdehi bcefgi bdhi cdef befgh abeghi bdgh g acfg aeghi cf abfgi cghi abcghi ceg d abi befgh d abch b abdfg acdehi abcdehi adhi bceh abcghi adhi bcdegh adfgh dfh adef be df aghi bcdegi cefi abce bcdegi adeghi bde abdegi abcdfgh bceh adef abcdfgh bdefgi ceghi defgh acfgi abcefgi bdg bcdeh cfhi cefg efh ace bdfi dfhi dg acdghi abceg ag defghi adfgh acdfh bcghi defgh abcefgh ceh di acefhi bfh befg acdf abc dfghi acdf aceghi adgi bcf bcdeghi fgi abcdehi adefh e fg abcdh abdh bcgh abch behi bghi g abcdfg ei bcdh aceghi bdefhi g abcf cdgh cdehi aefhi acdei ci fh cgh cdfghi adgh deg bfi bcfgh begh acdehi abcefghi bcef abcdefi cfi aceh bcdfghi cei acfg afghi deghi cdefghi bef cdeh abcdefh bcdefg abehi acdegi bdfhi adgi cefghi cf deg abcf aefg cefgh bcdfh bcfgh

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *512512