Details Page for 0.1667

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1056
P-Portion Size:   7
Tame?   No

MSV File: q-0.1667.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
7102
10122
11164
12244
17405
18446
19487
56647
140967
3401607
8832887
18065447
496510567

(Click on a heap to see details)

Details for Q883(0.1667):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b3=b, bc=ab, c2=b2, d2=1, be=bd, e2=b2, cf=ab2f, f2=b2, bg=ab, cg=ac, eg=ae, fg=af, g2=ag, bh=ab, ch=b2, eh=ce, fh=ab2f, gh=ah, h2=b2, b2i=i, ci=ai, ei=di, gi=ai, hi=ai, i2=b2, b2j=j, cj=aj, ej=dj, gj=aj, hj=aj, j2=b2, b2k=k, ck=ak, ek=dk, gk=ak, hk=ak, k2=b2, b2l=l, cl=al, el=dl, gl=al, hl=al, l2=b2>

P = {a, b2, ad, cd, adef, dg, ah}

Phi = 1 a 1 1 bd bd abd b b a c d e bd bd ab b f g h abd abd bdf ab b b b2f b2d b2d abdf bdf ab2 abd ab2f b2f b2f b2d ab2d bdf b b abd abd b2f b2d ab2 ab2 bdf bdf bf abf ab2df b2d b2d abdf b i bf ai bdi ab2df b2df bi bi abf b2d b di abdi b2df b2f b2f ai abf abdf b b2d b2d b2df bi bi abf bdf bdf abdf afi abd abd ab2f ab2 ab2 di bdf bdf b2d b2f ab2f b b abdf abdf i b2d b2f b2f ab2df ab di di abd b2d ai ab2 b2f bdi bdf bd i b2d b2d ab2 ab2 bdi afi abd abd i i abdfi bfi abdi abdi b2d ai adi adi abfi ab2 bdi bdi j abd abd b b ab2 abdfi b2d b2d ab2df j ab b2f ab2 ab2 ai b2d aj j b b abf bdj bdj b2d aj ab2 ab2 afi b2f b2f bdfi ab2d ab2d bfi j b abd abd abdj bj bdf ab2 abf abf bdj bdj ab2df b2df b ab2 i abf dfi dfi bdi abdi abdi ab2 ab2 b2d b2d b afi ab2df ab2df b2f b2f fj adj di afi adfi fi ab2df b2f j j aj di abdf abd abd ab2 ab2 afj j adi bdf adj bi b2f ab2f ab2 j abdf bdf i adfi bi bi ab2df ab2df di abd b2d abf b2f bj bdi ab2df ab2df adj b2d b2d afi bj abfj abdi afj abdfi bd i i bfi bfi abdi abdi abd dj dfj abf bdij bdfj bdi b2d adj abd b b ab2 ab2 abdj b2d ab2df ab2df ab b fij ab2 ab2 ij adij abfi aj b b abf bfj abdfi abdfi adij j aj afj afj bdfi ab2d abj bfi bfi b b abd abd fij bdf bdf abdfij j adj adj adij dfj bj b abfi bdfi abi abdfij j fi bdf bdj bfi b2d b2d dfj dfj ab2df k bdj bdj abi abf abdfi di aj b fij abfj abi abfi afj j bij b fi bdj ab2 k dfj adi bdf adj adj adfi bdj afij abdi abdf bdf i i bfj abi ab2df ab2df j abij abd abd bdfij b2f fi ab2df ab2df dfj adj abf abf di bfj bdi b2d b2d afj i i j ij abdi abdi abd abd bf abf adi adi aij b2f abdfi abi fj ab2 dfj adi adi bfj bdj abi b2f abij ab2 bdf ai abdfi abdfj abi abi b afj abf b2d b2d k bfj ak bdk bdi afj i abk abij abfij ij b b abd abd ak abdfj abj ab2 bdk b2f adj abd bdij ak b abj abdk bdk bdfi abd k bdf afij bfi dk bk adij abk ab2df dfj k bdj bdj dfk adij j aj b dk bij bfj fij abfi abk j j afi abdk b2f b2f adfk bk adi j abf abf bfj ak dfij ab2 ab2 abdk i adj b2f adij ab2df ab2df bfi bfi bfj abdk abdfk fi fi bdi ik bdk abf abf bk di abdfj afij afij ik aik k j adfk abdi abfk bfj b2f dik bij dfj j fk fk bfj b2f afi bk abdk bfij bfk adfi adij abi afij bfi ik bdk bdf afk bfj abdfj bdfk ab2df abj afj abij abd b2d ak abdfj jk bdi bfk ik abd abk k ab2 ab2 aik bfk adfi afk i k ij ij ab2df bfk abd afj b b abik afk bfj bdi abd abd abfij ab2 bdjk dk b2d b2d bfj bk abdjk dfj abfi bdj abdfi abdfi bfj aj aj dfj dk bjk adfk ij ij abk bdk dfj afj afj abdj bfj ab2 abk ik b adj b2f abdfk ak abdik bdf abfi ik adj adj adk abik abj abj afk bf bf abd k k abdfik abdi fij dfik abdfij adfk dfk dk ab2df ab2df bdj bdik bdk adfk j j abdfik afj b2f b2f abfi adik abk j adj afk ab2 abdik afij afij abdk bdjk dj dfi bfik bfik bdfk abdfk bdf j abd afk abdik ak ab2df abj abj di bdfij abdfij abdjk dfk ab2df bdi bdi dfj bjk bjk abk bfik ab2 ab2df bfk b abf afik bjk j bdfj ab2df fjk abd bfk afj dfk afi abdjk abdjk abi ajk k afj ai ab2 adk dk dfik bdfi bk adik ik fi bdij abik abdik ij aij aj dfj bfk abdjk adfi k adij abdfj afik b aik abd afj k adfk bdik abdfj dfik adj adj dfj bdfjk bj dfij adij fjk abdfij j ijk adfk abjk bj afk b2d dj abdfk afik bjk ijk ijk abj dfik abdfi adj adfjk b b dk fk bdfijk bdijk bdfk j bdf bdf afk b2f b2f bi dfk abk afik di abd adfi afj b2d b2d bdf bdf abfij adj adj bjk abj b2df adjk ik j bdf dijk bfj bdik ab2df ab2df bdk abk bdfjk dfi bfij abdfj abdfj bdi djk ajk abk bdf bdf abfij abfij b2d b2d dfj dfij fik bdik ijk abdi bdfik b2f adfjk afj b b bjk abdjk abdfj b2d b2f bdfijk bdfijk afj bdf afk bik b2d b2d abfi ab2df bfi l bdjk abdjk ak aij abdfk ajk dfj dfik abij abdfjk b2d abijk abdfj abdi b afj afj bdfjk l bdik abdfj bdi abdi dfik adik abij ak ak afk abdfj ij ij abdfij fj dfj dfj abik abfi bfj bfj l adik bdij fi adk bdj dfij abdl bfij j dfj dfj abik b2f b2f ij ij adj abdfik fi abdjk afj dfij dfk adik abfijk j adj abfjk afj al al abdi bdl afjk abfij adj dfi adk al bdf bdf abdfik bdl ai bl bdfjk dfij abj abj djk dfik adj adfi bfik fl abdi bdj bdj abd abk bdijk abdl afl ab2df bfk abdj afj bk l j j ijk bdj b2f b2f dfj b dfik bfjk abik bdik bdj bdj abdi bdfijk dfj afk dfl b2d l fl bl abfi adfj abij al bdfjk abdfj abdfj fl afij abdk abdjk dfik adijk bdfjk afl abdl abdl ik bfk adfi ajk abfl abfl adij adij dfij dfij afj afj adl aijk abdfj abdfj l bdfi abk fi fi adfijk abdfik abdfj abdfj il dfjk bdfijk bdij abfl abik abik bdfi abdfi ajk bfijk dfj bdij bdij ijk ij adij afik j dfj afj adfi adijk l fl abdfj bdijk abfk dfj abdfl abdfl dfl abdik abdfj abfl dfik dj adik bdfjk abjk abjk afij abdfj abdfik abdijk abdijk abij k abj abj abik ij ij adj fik ail fl il dil abdil bdfijk adj adj ail bfij adk adil dfij l bdfil bdfil bil b2f k k dfij dfij bk abdfijk adi fi adk b2f ij adfij afij afik bfl abdfij bdfij adfl bjk dfij abdfk bdl abfijk afik abdfij abdfij k k b2d afij djk adl abij bfl bfl adfijk afl afij bdfl bfijk bfijk adl adl bfij abik abj bdj abdfl dfj bfl jl abdjk bjk ij ij adfjk adik abdil abfl bfij abik abdfik abdfi abdfi afij abfijk bdij abdjl afk afk bfj bfj abk djk bdij fi abdfjl adfijk fijk bdijk afik abdl adfil afj afj bjk dfk fl bfj adij ik ik afj ajl ajl il abfjl abdfj fjk abij abfl bij afil abjk abdjk dij ij ajk abl bil il ijk adij ajl ajl ij abk bil abil abil aijk abdj dil adfjk adfjk dik bfij bfij abik dfij al bdfil bdijk afik bil afil bdfjk abdil dfk dijk abk bfij il abl bdjl bdfjk dfij afik fij bdfijk djk abdfij abdfij adfl k adjl adjl adjk abijk fjk bdfij j abdil k bdj adjl bdk adfik abfijk bdfij fijk abdfik adfijk abdi dfij ajk jl fi bfij fijk bdfik adik adik dfij abijl bfl ab2 ab2 abdfik jl abdil ijl abfijk ai bfij abf bfjk afil jl jl bdl bdfijk dil bdij abdjk fijk dijk adl dij b bfij bdjl bdjl ij bdijl afl adij djk abdfk abl l bfil adfk abik abik fijl bdf bdf ajl b2f bdik abfjl adfl dfjl ik ik abf abij dfk aijk bdijl ajl bfk abl bdkl bdjl dfj abfjk adk afijl abk abk dik abdkl j bdij fk abdi fijk abdil abkl bfij bfij afjl ajl dijk bjk abdijl adfjk adij fjk afj aijk abdfij b2d b2d bdfkl adfik abdjk abjl abdil afj bdfjk afij akl adij fjk dfl abl bdil k bdfjk l l fjk dil dil abdfij k bdfjk afij ik abk abdfj fkl akl bfik bfik bdfkl abdkl aik ajk bdf bdf bdl kl adk bl abij abdfjl abk afik adfil adfil abik bdik abdil bdfkl ajk bfl afi adj bfij bjk bjk afij bdl abfl bdf fjk bfil abfkl abfkl ikl adfil djk bfk bdfjl ij j abdik fl fl bijk afij abfil bfijl dkl bdik bjk afl ik afij abdfl b abdfij il bdfil abdjk abijl adfjl abij adikl aijl afjl afk abdjk bdijl abl abdfk abdfk abfl adl abfjk abik abik bkl dfij bikl ai bdfkl kl bdik bdik dil abikl abdijk bil b akl bdfl bdijl bdfjl ijl bdfkl adij bdfijk bdikl adfil adfil dfk bfi b2d adij adij abdil dfj bdj bdj j bfjl bdk abdfj adkl adfjl bdfjk b2f b2f adfijk adfik bfj abdkl adfijl dijk bdik bdfkl bdfjk adijl adfikl abk ajk abf abf afk adk abdi abfkl jkl abk adfjk abij abdfik adk adk adfikl ikl afik adjl bdk jl bdfik bdfjk bdfjk adij bfl djkl dfkl dfjl abdjkl afl bdfkl bdfil b2f bdk adfi akl afk afijk bjk dfikl abk abk dfik abf bdf adkl j bdij bil ik bfk adfi afil fkl bdik abfjk abfjk ik adfikl jkl bfijk dkl bjk abdjk abdi abdi bdk abdfk adik fjkl dl bik abdikl bdjkl fijl fijl ajkl adfjk adfjkl afk adk adfijk adjkl abfkl ai ai ik abik abik abdfij bdik bfjl abfijk dfj abd dfjl b bdjl b2f j adfjk fjk bdfijk bl bdfikl bdjkl bdik adikl adij di bdf bdj abfijk bdfjk bdik b2f bfjl dfik bijk abk abij abij dfk abik abdijkl bkl bijk fikl bdj ijkl abijl ijl bdfjk adl abjl afik jk abf ail abdjk abik dil dil bk ij abfijk abf abdfik aijk bdij bfik ajk abdijk bdk fjl bdfikl k bdij bdik bfil abdijk bdk dfik adfjkl dfjl bdf bdjl fjl bdfijl bdk j fijkl dfl k dfj dfj bdfil ab2df ab2df jl ij ij k abdfik akl bdfkl bfk afik ijl fijk abfkl dk abfjk abdfkl ajk ajk ijkl abdfj bdikl afl abfjk adfl ab2df adij abk adfjk abd abd abik afl abdkl dfikl abfijk bdij abdfil adfijk bjk abfjkl bfkl afl bfk adik bdfijk ij ij k k bfjl aijkl djk djk abijkl bdjkl bfj

Monoid Structure

Idempotent  |G|  |Arch|
144
b2 *256280
ag44