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 Q₉₄(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 | a²=1, b²⁰=b¹⁸, 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=b¹⁸, b⁸l=ab¹⁹, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁵l, gl=b⁶l, hl=ab⁷l, il=ab¹⁹, jl=b¹⁸, kl=ab¹⁹, l²=b¹⁸, b⁸m=ab⁷l, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁵m, gm=b⁶m, hm=ab⁷m, im=ab⁷l, jm=ab¹⁹, km=b¹⁸, lm=ab¹⁹, m²=b¹⁸, b⁷n=ab⁶m, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=ab⁵n, gn=b⁶n, hn=b⁶m, in=ab⁷m, jn=ab⁷l, kn=ab¹⁹, ln=b¹⁸, mn=ab¹⁹, n²=b¹⁸, b⁶o=ab⁵n, co=ab²o, do=ab⁴o, eo=b⁵o, fo=ab⁵o, go=ab⁵n, ho=b⁶n, io=b⁶m, jo=ab⁷m, ko=ab⁷l, lo=ab¹⁹, mo=b¹⁸, no=ab¹⁹, o²=b¹⁸, b⁵p=ab⁴o, cp=ab²p, dp=ab⁴p, ep=ab⁴o, fp=b⁴o, gp=ab⁵o, hp=ab⁵n, ip=b⁶n, jp=b⁶m, kp=ab⁷m, lp=ab⁷l, mp=ab¹⁹, np=b¹⁸, op=ab¹⁹, p²=b¹⁸, b⁴q=ab³p, cq=ab²q, dq=b³p, eq=ab⁴p, fq=b⁴p, gq=b⁴o, hq=ab⁵o, iq=ab⁵n, jq=b⁶n, kq=b⁶m, lq=ab⁷m, mq=ab⁷l, nq=ab¹⁹, oq=b¹⁸, pq=ab¹⁹, q²=b¹⁸, b³r=ab²q, cr=ab²r, dr=b³q, er=b³p, fr=ab³p, gr=b⁴p, hr=b⁴o, ir=ab⁵o, jr=ab⁵n, kr=b⁶n, lr=b⁶m, mr=ab⁷m, nr=ab⁷l, or=ab¹⁹, pr=b¹⁸, qr=ab¹⁹, r²=b¹⁸, b²s=abr, cs=br, ds=ab²q, es=b³q, fs=ab³q, gs=ab³p, hs=b⁴p, is=b⁴o, js=ab⁵o, ks=ab⁵n, ls=b⁶n, ms=b⁶m, ns=ab⁷m, os=ab⁷l, ps=ab¹⁹, qs=b¹⁸, rs=ab¹⁹, s²=b¹⁸, bt=as, ct=bs, dt=ab²r, et=ab²q, ft=b²q, gt=ab³q, ht=ab³p, it=b⁴p, jt=b⁴o, kt=ab⁵o, lt=ab⁵n, mt=b⁶n, nt=b⁶m, ot=ab⁷m, pt=ab⁷l, qt=ab¹⁹, rt=b¹⁸, st=ab¹⁹, t²=b¹⁸, bu=at, cu=as, du=br, eu=ab²r, fu=b²r, gu=b²q, hu=ab³q, iu=ab³p, ju=b⁴p, ku=b⁴o, lu=ab⁵o, mu=ab⁵n, nu=b⁶n, ou=b⁶m, pu=ab⁷m, qu=ab⁷l, ru=ab¹⁹, su=b¹⁸, tu=ab¹⁹, u²=b¹⁸, bv=au, cv=at, dv=bs, ev=br, fv=abr, gv=b²r, hv=b²q, iv=ab³q, jv=ab³p, kv=b⁴p, lv=b⁴o, mv=ab⁵o, nv=ab⁵n, ov=b⁶n, pv=b⁶m, qv=ab⁷m, rv=ab⁷l, sv=ab¹⁹, tv=b¹⁸, uv=ab¹⁹, v²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, 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, abo, ab³o, ab⁵o, p, b²p, b⁴p, abq, ab³q, r, b²r, abs, t, v}

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 as u as b¹⁸ at v at ab¹⁹ au

Monoid Structure