Details Page for 0.1367

Complete Solution is Known:

MSV File: q-0.1367.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₀(0.1367):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v | a²=1, b³=b, c³=c, bd=bc, c²d=d, d²=b²c², bce=abc, de²=ade, e³=ae², bf=bc, c²f=f, def=cde, e²f=ce², f²=c²e², bg=abc, eg=ade, dfg=ab²c, g²=b²c², bch=abc, eh=acde, c²gh=gh, dgh=adfh, fgh=b²c², h²=b²c², bi=bh, ci=dh, di=ab²c, ei=b²c², fi=cdfh, gi=acdfh, hi=b²c², i²=b²c², bj=bc, c²ej=ej, fj=ce²j, dgj=ab²c, c²hj=hj, dhj=dfh, ghj=b²c², ij=cdfh, j²=b²c², bk=abc, c²k=k, dk=dg, ek=ade, fk=cde, gk=b²c², hk=gh, ik=acdfh, jk=dej, k²=b²c², b²l=l, cl=bc, dl=bc, e²l=ael, fl=bc, gl=abc, hl=abc², il=abc², jl=bc, kl=abc, l²=b²c², em=ac²m, fm=cm, gm=adm, hm=acdm, im=ab²c²m, c²jm=jm, km=adm, lm=bc²m, m²=b²c², bn=bm, dn=b²cm, en=ac²n, fn=cn, gn=ab²cm, hn=ab²c²m, in=ab²c²m, c²jn=jn, kn=ab²cm, ln=bc²m, mn=b²c², n²=b²c², bo=abc²m, c²eo=eo, e²o=aeo, fo=aceo, go=deo, c²ho=ho, dho=b²cm, io=b²c²m, c²jo=jo, ejo=ajo, hjo=acdjo, ko=deo, lo=abc²m, no=ab²c², o²=b²c², bp=abc²m, dp=do, c²ep=ep, e²p=aep, fp=acep, gp=deo, hp=ho, ip=b²c²m, c²jp=jp, ejp=ajp, kp=deo, lp=abc²m, mp=mo, np=ab²c², op=b²c², p²=b²c², bcq=abc, eq=ac²q, fq=cq, gq=adq, hq=acdq, iq=b²c², c²jq=jq, kq=adq, lq=abc², bmq=abc²m, c²mq=mq, c²nq=nq, c²oq=oq, c²pq=pq, q²=b²c², bcr=b²c²m, er=ac²r, fr=cr, gr=adr, hr=acdr, ir=abcm, c²jr=jr, kr=adr, lr=b²cm, mr=bc, nr=bc, or=abc, pr=abc, qr=abcm, r²=b²c², bs=bc²m, c²s=s, ds=acnq, es=as, fs=cs, gs=cnq, hs=nq, is=ab²c²m, ks=cnq, ls=bc²m, ms=b²c², ns=b²c², os=ab²c², ps=ab²c², qs=ab²c²m, rs=bc, s²=b²c², bt=abc, ct=ab²c², dt=ab²c², et=b²c, ft=ab²c², gt=b²c², ht=b²c, it=b²c, jt=ab²c², kt=b²c², lt=abc, nt=ab²cm, pt=ot, qt=b²c, rt=abc²m, st=ab²cm, t²=b²c², bu=bcm, c²u=u, eu=au, fu=cu, gu=adu, hu=acdu, iu=ab²cm, ku=adu, lu=bcm, mu=admo, nu=admo, ou=dmo, pu=ab²c, ru=bc², tu=ab²c²m, u²=b²c², bv=abc, cv=ab²c², dv=ab²c², ev=b²c, fv=ab²c², gv=b²c², hv=b²c, iv=b²c, jv=ab²c², kv=b²c², lv=abc, mv=ab²cm, nv=ab²cm, ov=b²cm, pv=b²cm, qv=b²c, rv=abc²m, sv=ab²cm, uv=ab²c²m, v²=b²c²>

P = {a, b², ac, ac², b²c², acd, abe, acde, e², b²e², c²e², af, acf, adf, cg, dg, abh, acj, ac²j, adj, adej, ce²j, agj, ck, bel, abm, aco, ac²o, ado, ho, amo, ac²mo, acdmo, acjmo, adjmo, acp, ac²p, cq, jq, coq, joq, acmoq, ajmoq, cpq, jpq, ar, ab²r, ac²r, acdr, acjr, adjr, at, mot, qu, cdqu, cjqu, djqu}

Phi = 1 a a 1 bc bc abc abc b b a ab²c² c d bc bc abc bc² bc² e ab²e² f ade g abc abc bc² bc h i j b²c k fh bq l bc m n o p b²c bcm bq bq bc bc² b²m ab²c ab²c b²c q ab²c² r bc² bc² abc abc ab²c b²c q ab²c² r bc² bc bc abc s b²c q ab²c² t bcm bc bc abc s anq b²cm u v bcm bcm abcm abc² s anq nq nq ab²c

Monoid Structure