Details Page for 0.7175

Complete Solution is Known:

MSV File: q-0.7175.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₉(0.7175):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b³=b, b²c=c, c⁶=ac⁵, bd=ab, cd=ac, d²=b², b²e=e, c²e=abc³, de=ae, ce²=c³, e⁴=ac⁵, b²f=f, cf=abce, df=af, e³f=bc⁵, ef²=abe²f, f⁴=ac⁵, b²g=g, c²g=ac⁴, dg=ag, ceg=bc⁴, e³g=bc⁵, efg=abe²g, f²g=c⁵, cg²=c⁵, eg²=abe²g, fg²=c⁵, g³=c⁵, b²h=h, ch=abcg, dh=ah, e²h=abc⁵, efh=e²g, f²h=abc⁵, gh=abg², h²=ac⁵, b²i=i, ci=cg, di=ai, e²i=c⁵, fi=abeg, egi=abe²g, g²i=e²g, ehi=c⁵, i²=abhi, b²j=j, c²j=abc⁵, dj=aj, cej=c⁵, e²j=abc⁵, efj=e²g, f²j=abc⁵, gj=fj, ehj=abc⁵, fhj=c⁵, ij=abej, j²=hj, b²k=k, ck=abcj, dk=ak, e²k=c⁵, efk=abe²g, f²k=c⁵, egk=abe²g, fgk=c⁵, g²k=c⁵, ehk=c⁵, fhk=abc⁵, eik=abc⁵, gik=e²g, hik=abc⁵, jk=abgi, k²=abhk, b²l=l, cl=cj, dl=al, e²l=abc⁵, efl=e²g, f²l=abc⁵, gl=fl, hl=ac⁵, il=abel, jl=hj, kl=hk, l²=ac⁵, b²m=m, cm=ae²g, dm=am, em=abel, fm=abfl, gm=abfl, hm=bc⁵, im=el, jm=abhj, km=abhk, lm=bc⁵, m²=ac⁵, b²n=n, cn=be²g, dn=an, en=el, fn=fl, gn=fl, hn=ac⁵, in=abel, jn=hj, kn=hk, ln=ac⁵, mn=bc⁵, n²=ac⁵, b²o=o, co=ae²g, do=ao, eo=abel, fo=abfl, go=abfl, ho=bc⁵, io=el, jo=abhj, lo=bc⁵, mo=ac⁵, no=bc⁵, o²=ac⁵, b²p=p, c²p=abe²g, dp=ap, cep=e²g, e²p=abc⁵, efp=e²g, f²p=abc⁵, gp=fl, hp=ac⁵, ip=abel, cjp=c⁵, ejp=abc⁵, fjp=c⁵, kp=abko, lp=ac⁵, mp=bc⁵, np=ac⁵, op=bc⁵, p²=ac⁵, b²q=q, cq=abcp, dq=aq, e²q=c⁵, fq=abeq, gq=ae²g, hq=bc⁵, iq=ae²g, jq=be²g, kq=ae²g, lq=bc⁵, mq=ac⁵, nq=bc⁵, oq=ac⁵, pq=bc⁵, q²=ac⁵, b²r=r, cr=cp, dr=ar, er=abeq, fr=eq, gr=be²g, hr=ac⁵, ir=be²g, jr=ae²g, kr=be²g, lr=ac⁵, mr=bc⁵, nr=ac⁵, or=bc⁵, pr=ac⁵, qr=bc⁵, r²=ac⁵, b²s=s, c²s=bcp, ds=as, ces=acp, e³s=bc⁵, fs=abes, gs=abeq, hs=be²s, is=abeq, js=be²g, ks=ac⁵, ls=bc⁵, ms=ac⁵, ns=bc⁵, os=ac⁵, ps=bc⁵, qs=ac⁵, rs=bc⁵, s²=ac⁵, b²t=t, ct=abcs, dt=at, e²t=aeq, eft=beq, f²t=abe²s, gt=eq, ht=ae²s, it=eq, jt=ac⁵, kt=be²g, lt=ac⁵, mt=bc⁵, nt=ac⁵, ot=bc⁵, pt=ac⁵, qt=bc⁵, rt=ac⁵, st=bc⁵, t²=ac⁵, b²u=u, cu=cs, du=au, eu=abet, fu=abft, gu=abeq, hu=be²s, iu=abeq, ju=be²g, ku=ae²g, lu=bc⁵, mu=ac⁵, nu=bc⁵, ou=ac⁵, pu=bc⁵, qu=ac⁵, ru=bc⁵, su=ac⁵, tu=bc⁵, u²=ac⁵, b²v=v, c²v=bcs, dv=av, cev=acs, e²v=aes, fv=abev, gv=abet, hv=abes, iv=abet, jv=abeq, kv=eq, lv=abeq, mv=bc⁵, nv=ac⁵, ov=bc⁵, pv=ac⁵, qv=bc⁵, rv=ac⁵, sv=bc⁵, tv=ac⁵, uv=bc⁵, v²=ac⁵, b²w=w, cw=abcv, dw=aw, e²w=aet, efw=bet, f²w=bft, gw=et, hw=ft, iw=et, jw=eq, kw=abcp, lw=eq, mw=ac⁵, nw=be²g, ow=ac⁵, pw=bc⁵, qw=ac⁵, rw=bc⁵, sw=ac⁵, tw=bc⁵, uw=ac⁵, vw=bc⁵, w²=ac⁵>

P = {a, b², abc, c², ac³, c⁴, ac⁵, e², be³, aef, f², af³, aeg, fg, g², bh, eh, abfh, abei, bgi, abhi, hj, abhk, al, bm, an, bo, cp, bq, bs, abcs, ae²s, abet, cv, abev, ew, abfw}

Phi = 1 a b a b c b d b d e f e g h i j k l m n o p q r s t u v w

Monoid Structure