Details Page for 0.3072

Complete Solution is Known:

MSV File: q-0.3072.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₈₆(0.3072):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t | a²=1, b¹⁸=b¹⁶, b²c=ab⁴, c²=b⁴, b²d=ab⁶, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b²f=ab⁷, ef=abdf, f²=b¹⁰, b²g=bcf, cg=abcf, dg=ab¹⁰, eg=b¹¹, fg=ab¹¹, g²=b¹², b³h=abdf, ch=ab²h, dh=b¹¹, eh=ab¹², fh=b¹², gh=ab¹³, h²=b¹⁴, b⁵i=b¹³, ci=ab²i, di=ab⁴i, ei=b¹³, fi=ab¹³, gi=b¹⁴, hi=ab¹⁵, i²=b¹⁶, b⁶j=ab¹⁵, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁵j, gj=ab¹⁵, hj=b¹⁶, ij=ab¹⁷, j²=b¹⁶, b⁷k=b¹⁷, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁵k, gk=b⁶k, hk=ab¹⁷, ik=b¹⁶, jk=ab¹⁷, k²=b¹⁶, b⁷l=ab⁶k, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁵l, gl=b⁶l, hl=b⁶k, il=ab¹⁷, jl=b¹⁶, kl=ab¹⁷, l²=b¹⁶, b⁶m=ab⁵l, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁵m, gm=ab⁵l, hm=b⁶l, im=b⁶k, jm=ab¹⁷, km=b¹⁶, lm=ab¹⁷, m²=b¹⁶, b⁵n=ab⁴m, cn=ab²n, dn=ab⁴n, en=ab⁴m, fn=b⁴m, gn=ab⁵m, hn=ab⁵l, in=b⁶l, jn=b⁶k, kn=ab¹⁷, ln=b¹⁶, mn=ab¹⁷, n²=b¹⁶, b⁴o=ab³n, co=ab²o, do=b³n, eo=ab⁴n, fo=b⁴n, go=b⁴m, ho=ab⁵m, io=ab⁵l, jo=b⁶l, ko=b⁶k, lo=ab¹⁷, mo=b¹⁶, no=ab¹⁷, o²=b¹⁶, b³p=ab²o, cp=ab²p, dp=b³o, ep=b³n, fp=ab³n, gp=b⁴n, hp=b⁴m, ip=ab⁵m, jp=ab⁵l, kp=b⁶l, lp=b⁶k, mp=ab¹⁷, np=b¹⁶, op=ab¹⁷, p²=b¹⁶, b²q=abp, cq=bp, dq=ab²o, eq=b³o, fq=ab³o, gq=ab³n, hq=b⁴n, iq=b⁴m, jq=ab⁵m, kq=ab⁵l, lq=b⁶l, mq=b⁶k, nq=ab¹⁷, oq=b¹⁶, pq=ab¹⁷, q²=b¹⁶, br=aq, cr=bq, dr=ab²p, er=ab²o, fr=b²o, gr=ab³o, hr=ab³n, ir=b⁴n, jr=b⁴m, kr=ab⁵m, lr=ab⁵l, mr=b⁶l, nr=b⁶k, or=ab¹⁷, pr=b¹⁶, qr=ab¹⁷, r²=b¹⁶, bs=ar, cs=aq, ds=bp, es=ab²p, fs=b²p, gs=b²o, hs=ab³o, is=ab³n, js=b⁴n, ks=b⁴m, ls=ab⁵m, ms=ab⁵l, ns=b⁶l, os=b⁶k, ps=ab¹⁷, qs=b¹⁶, rs=ab¹⁷, s²=b¹⁶, bt=as, ct=ar, dt=bq, et=bp, ft=abp, gt=b²p, ht=b²o, it=ab³o, jt=ab³n, kt=b⁴n, lt=b⁴m, mt=ab⁵m, nt=ab⁵l, ot=b⁶l, pt=b⁶k, qt=ab¹⁷, rt=b¹⁶, st=ab¹⁷, t²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, ae, bf, abg, h, b²h, abi, ab³i, j, b²j, b⁴j, abk, ab³k, ab⁵k, l, b²l, b⁴l, b⁶l, abm, ab³m, ab⁵m, n, b²n, b⁴n, abo, ab³o, p, b²p, abq, r, t}

Phi = 1 a 1 a 1 b ab b ab a 1 a 1 b ab b ab c ac c b² abc bc abc ab³ d ad d b⁴ e ae e f abe g abe b⁶ bg h bg ab⁷ bh i bh b⁸ bi j bi ab⁹ bj k bj b¹⁰ bk l bk ab¹¹ bl m bl b¹² bm n bm ab¹³ bn o bn b¹⁴ bo p bo ab¹⁵ bp q bp b¹⁶ bq r bq ab¹⁷ aq s aq b¹⁶ ar t ar ab¹⁷ as

Monoid Structure