Details Page for 0.1667

Complete Solution is Known:

MSV File: q-0.1667.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₄₀(0.1667):

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

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

Monoid Structure