Details Page for 0.5644

Complete Solution is Known:

MSV File: q-0.5644.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₄₆(0.5644):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x | a²=1, b⁴=b², b²c²=b², bc³=bc, c⁴=c², b²d=b³c, cd=bc², bd²=b³, d⁵=d³, b²e=ab², ce=ac³, bde=ab²c, be²=abe, d³e²=b³c, e³=ae², b²f=ab², cf=ac³, bdf=ab²c, d⁴f=d²f, bef=abe, de²f=abc, f²=ae²f, b²g=ab³, cg=abc, dg=ab²c, beg=b², e²g=be, efg=be, g²=b², bh=b², ch=bc, d³h=b²c, d²eh=ad²h, de²h=adeh, fh=abc², gh=abfg, h²=b², b²i=ab²c, bdi=abfg, d²i=ab²c, ei=ac²i, fi=ac²i, gi=abc²i, hi=bi, i²=b², bj=ab²c, cj=abc², d²j=ab³c, dej=d²e², e²j=aej, fj=bc, gj=b²c, dhj=ad²h, ehj=ahj, ij=abci, j²=b², djk=ad²e²k, ejk=ajk, k²=b², b²l=b²k, bcl=b³ck, d⁴l=d²l, bel=ab³k, d³el=del, de²l=b³ck, d³fl=dfl, e²fl=ae²l, dhl=bdl, ehl=aegl, jl=ab³ck, c²kl=b², bdkl=ckl, e²kl=b², d²efkl=efkl, cikl=abfgkl, l²=b², bm=bfg, cm=bc, dm=b²c, e²m=abe, fm=be, egm=bfg, hm=agm, im=bc²i, jm=ab²c, m²=b², bn=ab², cn=abc, dn=ab²c, fn=ae²n, gn=bfgkl, hn=ab², in=abc²i, jn=b²c, e²kn=abc²k, eln=egl, mn=gm, n²=b², bo=ae²l, c³o=co, d³o=ab²ck, d²eo=ad²o, e²o=aeo, dfo=c³l, ego=ae²l, eho=aho, djo=ad²o, ejo=ajo, ko=abkl, lo=abkl, mo=fgo, no=e²l, o²=b², bp=ae²l, cp=co, d⁴p=d²p, ep=aefo, gp=go, hp=ac²l, ip=io, kp=abkl, lp=abkl, mp=fgo, np=e²l, op=b², p²=b², bq=b³k, c³q=cq, dq=b³ck, fq=ae²q, egq=b³k, hq=b³k, c²iq=iq, jq=ab³ck, c²kq=kq, ekq=akq, gkq=ab³, lq=b², emq=gq, gmq=ab²k, kmq=b³, nq=ab³k, oq=ab³, pq=ab³, q²=b², br=b², cr=abc²i, dr=b²c, er=ar, fr=ar, gr=ab², hr=b², ir=ab³c, jr=ab²c, kr=abcik, lr=b³k, mr=b², nr=ab², pr=or, qr=b³k, r²=b², b²s=b³k, c³s=cs, bds=b³ck, bes=abs, d³es=ab²ck, de²s=ades, bfs=abs, defs=bcs, e²fs=aefs, gs=abs, dehs=adhs, e²hs=aehs, c²is=is, dis=bcis, d³ks=b²c, eks=aks, dfks=abcks, biks=ikq, ls=akln, kms=bks, ens=bc²s, kns=abc²ks, os=abks, d²ps=d²ekl, dfps=defkl, jps=abikl, qs=b³, rs=abcis, s²=b², bt=ab³c, ct=ab², d²t=ab²c, et=at, ft=b²c, gt=b³c, ht=ab³c, it=b², jt=b³, kt=hjk, lt=ab²ck, mt=ab³c, nt=b³c, ot=b³ck, pt=b³ck, qt=ab²ck, rt=ab³c, st=hjs, t²=b², bu=b², cu=b³c, du=b²c, eu=dt, fu=bfkl, gu=bgkl, hu=b², iu=ab³c, ju=ab²c, ku=d²hk, lu=b³k, mu=bfgkl, nu=ab², ou=ab²k, pu=ab²k, qu=b³k, ru=b², su=d²hs, tu=ab³c, u²=b², bv=ab³, cv=ab²c, dv=ab³c, ev=b², fv=b², gv=egkl, hv=aegkl, iv=b²c, jv=b³c, kv=ab²k, lv=ab²k, mv=eklm, nv=egkl, ov=b³k, pv=b³k, qv=ab²k, rv=ab³, sv=ab³k, tv=b²c, uv=ab³, v²=b², b²w=ab²k, c³w=cw, bdw=ab²ck, d³w=ab³ck, ew=aw, bfw=abw, dfw=abcw, gw=abw, c²iw=iw, diw=bciw, djw=ad²w, bkw=ab³, ckw=abcks, d²kw=ad²hks, fkw=bc²ks, hkw=ab³, ikw=aikq, lw=abks, mw=bw, nw=abw, d²ow=d²ks, how=akw, pw=afow, qw=abks, sw=ab³, tw=b²ck, uw=ab³k, vw=b²k, w²=b², bx=ab²ck, cx=ab³k, dx=ab²k, ex=b³ck, fx=b³ck, gx=b²ck, hx=ab²ck, ix=agq, jx=b²k, kx=ab³c, lx=ab³c, mx=ab²ck, nx=b²ck, ox=b²c, px=b²c, qx=ab³c, rx=ab²ck, sx=ab²c, tx=b³k, ux=ab²ck, vx=b³ck, wx=b³c, x²=b²>

P = {a, b², c², d², d⁴, de, d³e, e², d²e², af, ad²f, ae²f, ag, fg, bi, ac³i, adj, al, fl, gl, akl, d²kl, dekl, afkl, ad²fkl, agkl, fgkl, bikl, am, gm, aklm, gklm, gq, ackq, amq, ahs, bks, c²ks, adhks, aciks, hjks, ns, dps, bc²w, hw, d²hw, abciw, orw}

Phi = 1 a 1 b b c c d e f g h i ac j bc k l m n o p bc ab²c ab²c q r s ab² b³c b³c b²c t b³ u v v c²l c²l ckl ckl ab³k ab³k ab² w b²k x b²c b³k

Monoid Structure