Details Page for 0.1016

Complete Solution is Known:

MSV File: q-0.1016.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₉(0.1016):

Q = <a,b,c,d,e,f,g,h,i,j | a²=1, b⁴=b², b²c³=b²c, c⁴=c², b²d=b³c, bcd=b²c², c²d=bc³, bd²=b³c², cd²=bd, d⁷=d⁵, b²e=b³c, bce=b²c², c²e=bc³, bde=b³c², cde=b²c, d²e=d⁵, ce²=be, be³=be, e⁴=e², b²f=ab², bcf=abc, c²f=ac², bdf=abd, cdf=acd, d³f²=b³c, bef²=b²c, cef²=bc², def²=b²c², e²f²=b²c², f³=af², b²g=b³, d⁴g=b³c², de²g=be, bg²=b, cg²=c, f²g²=f², g³=g, b²ch=ab²c, c²h=ac², d³h=ad⁵, ef²h=bch, d²fgh=ad²gh, d²g²h=d²f²h, b²h²=b²c², bch²=abch, beh²=b²c, ceh²=bc², deh²=d⁶, e²h²=d⁶, bfh²=abh², cfh²=ach², egh²=abcgh, fgh²=agh², g²h²=f²h², h³=ah², b²i=b²c, d⁵i=b³c², bei=b²c², cei=bc²i, dei=b²c, e²i=be, bfi=abi, cfi=aci, ef²i=bci, eg²i=ei, d²fhi=ad²hi, df²hi=adfhi, g²hi=hi, eh²i=abchi, fh²i=ah²i, ei²=bci², d³gi²=d³g, f²hi²=afhi², bci³=bc²i², c²i³=c³i², cdi³=bi³, d³i³=d³i, fhi³=ahi³, bhi⁴=abi⁴, chi⁴=aci⁴, d²hi⁴=ad²f²i⁴, hi⁵=af²i⁵, bi⁶=bi⁴, ci⁶=ci⁴, d²i⁶=d²i⁴, i⁷=i⁵, b²j=b², bdj=b²c, cdj=bc²j, d³j=d⁵, bej=be, dej=de, e²j=e², d²f²j=b²c², d²hj=ad⁶, df²hj=abcj, eh²j=dh²j, dgh²j=abcghj, d²ij=d⁴i, dfhij=bcij, bh²ij=abhij, dh²ij=abchij, bi²j=b³c², ci²j=bdi², f²i²j=d²f²i², dgi²j=d³g, hi²j=d²hi², di⁴j=di²j, i⁶j=i⁴j, bj²=bj, c²j²=c²j, ej²=ej, df²j²=df²j, d²gj²=d²gj, dhj²=dhj, ch²j²=acf²hj², dfij²=adf²ij, g²ij²=ij², i²j²=b²c², j³=j²>

P = {a, b², c², b²c², d², d⁴, d⁶, ae, ae², ae³, df, d³f, d⁵f, ef, de²f, e³f, f², d²f², ag, bcg, bc³g, aeg, ae²g, ae³g, fg, efg, e²fg, e³fg, df²g, aef²g, ag², d²g², aeg², ae²g², ae³g², dfg², efg², e³fg², bh, b³h, ad²h, adeh, e³h, abfh, ade²fh, ae³fh, bf²h, ad²f²h, gh, e²gh, e³gh, afgh, ae²fgh, ae³fgh, adf²gh, adeg²h, e³g²h, defg²h, ae³fg²h, h², d²h², afh², f²h², d²f²h², bgh², bi, c³i, cdi, d³gi, ad²fgi, achi, abdhi, abcghi, adghi, aeghi, efghi, ch²i, bdh²i, dgh²i, i², c²i², d²i², d⁴i², afi², ad³fi², f²i², d²f²i², abcgi², abc³gi², adgi², adf²gi², g²i², d²g²i², afg²i², ahi², ad²hi², fhi², adfghi², h²i², d²h²i², bgh²i², bi³, acgi³, ad²fgi³, abhi³, cghi³, ch²i³, bdh²i³, dgh²i³, i⁴, d²i⁴, afi⁴, f²i⁴, d²f²i⁴, adgi⁴, adf²gi⁴, g²i⁴, d²g²i⁴, afg²i⁴, ahi⁴, dghi⁴, h²i⁴, bi⁵, acgi⁵, ad²fgi⁵, i⁶, afi⁶, f²i⁶, adgi⁶, adf²gi⁶, g²i⁶, afg²i⁶, aj, c²j, d²j, aej, dfj, efj, f²j, agj, bcgj, bc³gj, aegj, fgj, efgj, df²gj, aef²gj, ag²j, d²g²j, aeg²j, dfg²j, efg²j, bhj, abfhj, bf²hj, ghj, afghj, h²j, afh²j, f²h²j, bgh²j, c³ij, dgij, achij, abcghij, adghij, aeghij, efghij, ch²ij, i²j, afi²j, g²i²j, afg²i²j, i⁴j, afi⁴j, g²i⁴j, afg²i⁴j, aj², d²j², dfj², f²j², agj², fgj², ag²j², dfg²j², ghj², afghj², h²j², afh²j², f²h²j², cij², dgij², achij²}

Phi = 1 a 1 a 1 1 a 1 a b b b b a c c c 1 a 1 a d e f g h b b i j

Monoid Structure