Details Page for 0.1352

Complete Solution is Known:

MSV File: q-0.1352.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₉(0.1352):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a²=1, b⁴=b², b³c³=bc³, b²c⁴=c⁴, c⁵=b²c³, b³d=bd, b²cd=cd, c³d=c⁴, bd²=b³, cd²=b²c, d⁴=d², b³e=be, bc²e=abc⁴, c³e=ab²c³, b²de=de, c²de=ab²c³, d²e=b²e, c²e²=c⁴, e³=ab²e², bf=ab³, c³f=ab²c³, cdf=acd, d³f=df, ef=ab²e, f²=b², b³g=bg, bc³g=b²c³, c⁴g=bc⁴, b²dg=dg, d²g=b²g, fg=ab²g, b²g²=g², cg²=b²c, eg²=b²e, g⁴=g², b³h=bh, c³h=ac⁴, b²dh=dh, d²h=b²h, be²h=abce², de²h=acde², fh=ab²h, c²egh=c³g, g³h=b²gh, ch²=ab²c²h, beh²=abceh, deh²=acdeh, e²h²=c⁴, g²h²=b²h², h³=ab²c³, b³i=bi, bc³i=abc⁴, c⁴i=ab²c³, b²di=di, d²i=b²i, be²i=abde², ce²i=acde², de²i=ab²e², fi=ab²i, c³gi=ce²gh, c²ehi=ce²h, eh²i=ab²cehi, i²=b², b²j=b³, bc²j=ac²f, c⁴j=bc⁴, bdj=b²d, cdj=bcd, d²j=b³, bej=b²e, dej=bde, fj=ab³, bgj=b²g, dgj=bdg, g²j=bg², bhj=b²h, dhj=bdh, c²ehj=c³j, bij=b²i, c³ij=ce²hj, dij=bdi, j²=b², b³k=bk, c³k=ac³gj, b²dk=dk, d²k=b²k, bek=abe, c²ek=ace²ghj, dek=ade, e²k=ab²e², fk=ab²k, b²gk=gk, egk=ab²eg, b²c²hk=c²hk, ehk=ab²eh, b²h²k=h²k, eik=ab²ei, b²hik=hik, jk=bk, k²=b², b³cl=bcl, c²l=c³g, d²l=b²l, b²e²l=e²l, ce²l=ab²cel, cfl=ab²cl, dfl=ab²dl, b²cgl=cgl, b²egl=egl, bchl=ab²c³, cdhl=abc⁴, behl=abcel, cehl=c³g, dehl=acdel, e²hl=b²cel, cghl=ab²c³, eghl=acegl, h²l=c³g, bceil=abcdel, cdeil=ab²cel, e²il=ade²l, cegil=acdegl, bjl=afl, e²jl=be²l, cgjl=bcgl, egjl=begl, bkl=ab³l, ckl=ab²cl, dkl=ab²dl, ekl=ab²el, gkl=ab²gl, hkl=ab²hl, b³l²=bl², cl²=b²c³, b²dl²=dl², el²=ac⁴, fl²=ab²l², g²l²=bcegh, ghl²=ac³g, djl²=bdl², kl²=ab²l², b²l³=l³, gl³=ab²hl², hl³=bdhl², jl³=bl³, l⁴=bdl³>

P = {a, b², c², b²c², c⁴, ad, bcd, ad², ad³, be, ac²e, cde, e², b²e², acde², cf, abg, bc²g, acdg, aeg, ab²eg, abcdeg, abe²g, bcde²g, g², abg³, ach, ab²ch, dh, ac²dh, ceh, b²ceh, adeh, ace²h, bdgh, abc²dgh, bcegh, dg²h, h², b²h², aeh², bgh², i, b²i, ac³i, bcdi, bei, abgi, cdgi, aegi, ab²egi, g²i, abg³i, c²hi, b²c²hi, acdehi, ae²hi, cghi, b²cghi, bdghi, deghi, adh²i, bj, ac²j, ej, agj, ac²gj, ae²gj, cghj, aceghj, agh²j, eij, agij, c²gij, ceghij, gh²ij, ak, ab²k, c²k, ab²c²k, abcdk, bgk, abc²gk, ag²k, bg³k, b²chk, adhk, c²dhk, bcghk, abdghk, bc²dghk, adg²hk, ah²k, abgh²k, aik, ab²ik, ac²ik, abcdik, bgik, bc²dgik, ag²ik, bg³ik, ac²hik, abc²ghik, abdghik, dh²ik, bcl, bdl, abcel, bde²l, afl, acgl, dgl, cegl, adegl, de²gl, bdg²l, dg³l, abhl, ghl, b²ghl, abg²hl, il, b²il, beil, abgil, cdgil, g²il, abg³il, ejl, ehjl, eijl, agijl, chijl, akl, l², b²l², bgl², adhl², bdil², gjl², ahijl², bdl³, il³}

Phi = 1 a a b 1 ab b a c d b² b e f g h i j k l

Monoid Structure