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 Q₁₀₂(0.3072):

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, b²²=b²⁰, 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=b¹⁸, b⁷k=b¹⁷, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁵k, gk=b⁶k, hk=ab¹⁷, ik=b¹⁸, jk=ab¹⁹, k²=b²⁰, b⁸l=ab¹⁹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁵l, gl=b⁶l, hl=ab⁷l, il=ab¹⁹, jl=b²⁰, kl=ab²¹, l²=b²⁰, b⁹m=b²¹, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁵m, gm=b⁶m, hm=ab⁷m, im=b⁸m, jm=ab²¹, km=b²⁰, lm=ab²¹, m²=b²⁰, b⁹n=ab⁸m, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁵n, gn=b⁶n, hn=ab⁷n, in=b⁸n, jn=b⁸m, kn=ab²¹, ln=b²⁰, mn=ab²¹, n²=b²⁰, b⁸o=ab⁷n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=ab⁵o, go=b⁶o, ho=ab⁷o, io=ab⁷n, jo=b⁸n, ko=b⁸m, lo=ab²¹, mo=b²⁰, no=ab²¹, o²=b²⁰, b⁷p=ab⁶o, cp=ab²p, dp=ab⁴p, ep=b⁵p, fp=ab⁵p, gp=b⁶p, hp=b⁶o, ip=ab⁷o, jp=ab⁷n, kp=b⁸n, lp=b⁸m, mp=ab²¹, np=b²⁰, op=ab²¹, p²=b²⁰, b⁶q=ab⁵p, cq=ab²q, dq=ab⁴q, eq=b⁵q, fq=ab⁵q, gq=ab⁵p, hq=b⁶p, iq=b⁶o, jq=ab⁷o, kq=ab⁷n, lq=b⁸n, mq=b⁸m, nq=ab²¹, oq=b²⁰, pq=ab²¹, q²=b²⁰, b⁵r=ab⁴q, cr=ab²r, dr=ab⁴r, er=ab⁴q, fr=b⁴q, gr=ab⁵q, hr=ab⁵p, ir=b⁶p, jr=b⁶o, kr=ab⁷o, lr=ab⁷n, mr=b⁸n, nr=b⁸m, or=ab²¹, pr=b²⁰, qr=ab²¹, r²=b²⁰, b⁴s=ab³r, cs=ab²s, ds=b³r, es=ab⁴r, fs=b⁴r, gs=b⁴q, hs=ab⁵q, is=ab⁵p, js=b⁶p, ks=b⁶o, ls=ab⁷o, ms=ab⁷n, ns=b⁸n, os=b⁸m, ps=ab²¹, qs=b²⁰, rs=ab²¹, s²=b²⁰, b³t=ab²s, ct=ab²t, dt=b³s, et=b³r, ft=ab³r, gt=b⁴r, ht=b⁴q, it=ab⁵q, jt=ab⁵p, kt=b⁶p, lt=b⁶o, mt=ab⁷o, nt=ab⁷n, ot=b⁸n, pt=b⁸m, qt=ab²¹, rt=b²⁰, st=ab²¹, t²=b²⁰, b²u=abt, cu=bt, du=ab²s, eu=b³s, fu=ab³s, gu=ab³r, hu=b⁴r, iu=b⁴q, ju=ab⁵q, ku=ab⁵p, lu=b⁶p, mu=b⁶o, nu=ab⁷o, ou=ab⁷n, pu=b⁸n, qu=b⁸m, ru=ab²¹, su=b²⁰, tu=ab²¹, u²=b²⁰, bv=au, cv=bu, dv=ab²t, ev=ab²s, fv=b²s, gv=ab³s, hv=ab³r, iv=b⁴r, jv=b⁴q, kv=ab⁵q, lv=ab⁵p, mv=b⁶p, nv=b⁶o, ov=ab⁷o, pv=ab⁷n, qv=b⁸n, rv=b⁸m, sv=ab²¹, tv=b²⁰, uv=ab²¹, v²=b²⁰, bw=av, cw=au, dw=bt, ew=ab²t, fw=b²t, gw=b²s, hw=ab³s, iw=ab³r, jw=b⁴r, kw=b⁴q, lw=ab⁵q, mw=ab⁵p, nw=b⁶p, ow=b⁶o, pw=ab⁷o, qw=ab⁷n, rw=b⁸n, sw=b⁸m, tw=ab²¹, uw=b²⁰, vw=ab²¹, w²=b²⁰, bx=aw, cx=av, dx=bu, ex=bt, fx=abt, gx=b²t, hx=b²s, ix=ab³s, jx=ab³r, kx=b⁴r, lx=b⁴q, mx=ab⁵q, nx=ab⁵p, ox=b⁶p, px=b⁶o, qx=ab⁷o, rx=ab⁷n, sx=b⁸n, tx=b⁸m, ux=ab²¹, vx=b²⁰, wx=ab²¹, x²=b²⁰>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ae, bf, abg, h, b²h, abi, ab³i, j, b²j, b⁴j, abk, ab³k, ab⁵k, l, b²l, b⁴l, b⁶l, abm, ab³m, ab⁵m, ab⁷m, n, b²n, b⁴n, b⁶n, b⁸n, abo, ab³o, ab⁵o, ab⁷o, p, b²p, b⁴p, b⁶p, abq, ab³q, ab⁵q, r, b²r, b⁴r, abs, ab³s, t, b²t, abu, v, x}

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 br s br b¹⁸ bs t bs ab¹⁹ bt u bt b²⁰ bu v bu ab²¹ au w au b²⁰ av x av ab²¹ aw

Monoid Structure