Details Page for 0.7125

Complete Solution is Known:

MSV File: q-0.7125.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₈(0.7125):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | 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, ef²=abe²f, f⁴=ac⁵, b²g=g, c²g=ac⁴, dg=ag, ceg=bc⁴, e³g=bc⁵, e²fg=ac⁵, f²g=be³f, cg²=c⁵, eg²=abe²g, fg²=c⁵, g³=c⁵, b²h=h, ch=abcg, dh=ah, e²h=ae³f, efh=abefg, f²h=abc⁵, egh=e²g, fgh=abc⁵, g²h=abc⁵, h²=ac⁵, b²i=i, ci=cg, di=ai, e²i=c⁵, efi=efg, f²i=abefg, egi=abe²g, fgi=e²g, g²i=e²g, ehi=c⁵, fhi=abe²g, ghi=abe²g, ei²=abc⁵, fi²=e²g, gi²=e²g, hi²=abc⁵, i³=c⁵, b²j=j, c²j=abc⁵, dj=aj, cej=c⁵, e²j=abc⁵, efj=e²g, f²j=abc⁵, cgj=abc⁵, egj=e²g, fgj=abc⁵, g²j=abc⁵, hj=ac⁵, ij=abej, j²=ac⁵, b²k=k, ck=abcj, dk=ak, e²k=c⁵, fk=abgj, gk=abgj, hk=bc⁵, ik=ej, jk=bc⁵, k²=ac⁵, b²l=l, cl=ae²g, dl=al, el=abej, fl=abgj, gl=abgj, hl=bc⁵, il=ej, jl=bc⁵, kl=ac⁵, l²=ac⁵, b²m=m, c²m=abe²g, dm=am, cem=e²g, e²m=abc⁵, efm=e²g, f²m=abc⁵, gm=gj, hm=ac⁵, im=abej, jm=ac⁵, km=bc⁵, lm=bc⁵, m²=ac⁵, n=abm, b²o=o, co=cm, do=ao, eo=em, fo=fm, go=gj, ho=ac⁵, io=abej, jo=ac⁵, ko=bc⁵, lo=bc⁵, mo=ac⁵, o²=ac⁵, b²p=p, c²p=bcm, dp=ap, cep=acm, e³p=bc⁵, fp=abep, cgp=e²g, egp=abc⁵, g²p=c⁵, hp=be²p, ip=gp, jp=bc⁵, kp=ac⁵, lp=ac⁵, mp=bc⁵, op=bc⁵, p²=ac⁵, b²q=q, cq=abcp, dq=aq, e²q=bgp, efq=agp, f²q=abe²p, gq=abgp, hq=ae²p, iq=abgp, jq=ac⁵, kq=bc⁵, lq=bc⁵, mq=ac⁵, oq=ac⁵, pq=bc⁵, q²=ac⁵, b²r=r, cr=cp, dr=ar, e³r=bc⁵, efr=acm, f³r=ac⁵, gr=ae²r, ehr=e²g, fhr=abc⁵, ir=ae²r, jr=bc⁵, kr=ac⁵, lr=ac⁵, mr=bc⁵, or=bc⁵, pr=ac⁵, qr=bc⁵, r²=ac⁵, b²s=s, c²s=bcp, ds=as, es=ap, fs=bp, gs=abeq, hs=abep, is=abeq, js=gp, ks=be²p, ls=bc⁵, ms=ac⁵, os=ac⁵, ps=bc⁵, qs=ac⁵, rs=bc⁵, s²=ac⁵, b²t=t, ct=abcs, dt=at, e²t=aeq, eft=beq, f²t=bfq, gt=eq, ht=fq, it=eq, jt=abgp, kt=ae²p, lt=ac⁵, mt=bc⁵, ot=bc⁵, pt=ac⁵, qt=bc⁵, rt=ac⁵, st=bc⁵, t²=ac⁵, b²u=u, cu=cs, du=au, e²u=aer, efu=acp, f³u=bf²r, gu=er, hu=fr, iu=er, ju=ae²r, ku=hr, lu=bc⁵, mu=ac⁵, ou=ac⁵, pu=bc⁵, qu=ac⁵, ru=bc⁵, su=ac⁵, tu=bc⁵, u²=ac⁵>

P = {a, b², abc, c², ac³, c⁴, ac⁵, e², be³, aef, abe³f, f², af³, aeg, fg, g², bh, eh, abfh, abgh, abei, bfi, bgi, abhi, i², aj, bl, am, cm, bp, abcp, ae²p, abeq, br, er, abhr, cs, et, abft, au, abeu, fu, af²u}

Phi = 1 a b a b c b d b ab² e f e g h i j k j l m abm o p q r s t u

Monoid Structure