Details Page for 0.1632

Complete Solution is Known:

MSV File: q-0.1632.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₂(0.1632):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b⁵=b³, bc²=b, c³=c, b²d=b³, c²d=d, d²=b⁴, b²e=ab⁴, de=be, be³=ab³, c²e³=e³, e⁴=ae³, b²f=b⁴, c²f=f, df=bf, ef=ab⁴, f²=f, bg=bce², dg=bce², eg=ce³, fg=b⁴c, c²g²=g², g⁴=g², b²h=b³c, c²h=h, bdh=b³c, eh=abce², fh=b³c, gh=b³, h²=b⁴, b²i=abd, bdi=abd, ei=ae³, bfi=ab³, c²gi=gi, g²i=ag², bhi=adh, dhi=adh, bi²=abi, ci²=aci, di²=adi, fi²=afi, gi²=agi, hi²=ahi, i³=ai², b²j=bh, bdj=dh, c²ej=ej, e²j=ace³, fj=b⁴c, c²gj=gj, g²j=ace³, hj=abcej, bij=hi, i²j=ac²ij, j²=gj, bk=abd, c²k=k, dk=abd, ek=abe, fk=abf, gk=abce², hk=adh, ik=abi, k²=bd, b²l=b³, c²l=l, bdl=b³, el=ab³, fl=b³, gl=b³c, bhl=b³c, dhl=b³c, bil=adl, dil=adl, hil=ahl, i²l=ail, bjl=hl, djl=hl, ijl=ajl, kl=adl, l²=b⁴, b²m=ab⁴, dm=bm, be²m=bcej, ce²m=ej, e³m=ae³, fm=ab⁴, gm=ej, hm=abcem, im=agij, jm=ce³, km=abm, lm=ab³, m²=ae³, b⁴n=b²n, bdn=b²n, en=ab²n, gn=b²cn, hn=b³cn, din=bin, fin=ab²n, i²n=ain, jn=b²cn, kn=adn, ln=b³n, bmn=ab³n, cmn=ab²cn, b²n²=n², c²n²=n², dn²=bn², fn²=n², in²=an², mn²=an², n³=cn², b²o=ab³, bdo=ab³, e³o=b³, fo=abf, go=ce²o, ho=abceo, bio=chl, dio=chl, i²o=aio, c²jo=jo, djo=bjo, ijo=b³c, ko=ado, lo=ab⁴, bemo=bcjo, cemo=jo, bno=ab²n, cno=abcfn, dno=ab²n, n²o=abn², o²=b⁴, bp=b²n, cp=cdn, dp=b²n, e³p=ab³n, fp=bfn, gp=b³cn, hp=b²cn, i²p=aip, jp=b³cn, kp=ab²n, lp=b²n, n²p=bcn², p²=n², b⁴q=b²q, dq=b³q, eq=ab²q, bfq=b³q, cgq=b²q, g²q=b²q, hq=b³cq, biq=ab³q, c²iq=iq, fiq=afq, giq=ab²cq, i²q=aiq, jq=b²cq, kq=ab³q, ilq=ab³q, mq=ab²q, nq=an², oq=ab³q, pq=abn², q²=n², br=abin, dr=b³n, cer=ab²cn, e²r=amn, fr=b²n, gr=b²cn, hr=b³cn, ir=ac²r, jr=b²cn, kr=bin, lr=b³n, mr=ab²n, nr=n², cor=ab³cn, qr=an², r²=n²>

P = {a, b², b⁴, ac, ac², bd, ce, ace², ce³, f, ag², acg², ach, acdh, i, ci, c²i, afi, ai², aj, abcj, ej, acgj, ij, bl, dl, cm, acem, abcn, ab³cn, cfn, n², abo, beo, abe²o, cio, bjo, abcmo, aop, iop, mop, aemop, e²mop, q, cq, b²cq, acfq, clq}

Phi = 1 a 1 b b ab a b² c b d bc e f g abe bf h i f j k bf l m f n o bf p q b⁴ r

Monoid Structure