Details Page for 0.3571

Complete Solution is Known:

MSV File: q-0.3571.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₆₈(0.3571):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w | a²=1, b²²=b²⁰, bc=ab³, c²=b⁴, b²d=b⁵, cd=ab⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=ab⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=b³g, eg=ab⁴g, fg=ab¹¹, g²=b¹², b⁶h=b¹³, ch=ab²h, dh=b³h, eh=ab⁴h, fh=b⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=b³i, ei=ab⁴i, fi=b⁵i, gi=ab⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=ab⁴j, fj=b⁵j, gj=ab⁶j, hj=b⁷j, ij=ab¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=b³k, ek=ab⁴k, fk=b⁵k, gk=ab⁶k, hk=b⁷k, ik=ab⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=b²¹, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=b⁷l, il=ab⁸l, jl=b⁹l, kl=ab²¹, l²=b²⁰, b¹⁰m=ab⁹l, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=ab⁶m, hm=b⁷m, im=ab⁸m, jm=b⁹m, km=b⁹l, lm=ab²¹, m²=b²⁰, b⁹n=ab⁸m, cn=ab²n, dn=b³n, en=ab⁴n, fn=b⁵n, gn=ab⁶n, hn=b⁷n, in=ab⁸n, jn=ab⁸m, kn=b⁹m, ln=b⁹l, mn=ab²¹, n²=b²⁰, b⁸o=ab⁷n, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=ab⁶o, ho=b⁷o, io=b⁷n, jo=ab⁸n, ko=ab⁸m, lo=b⁹m, mo=b⁹l, no=ab²¹, o²=b²⁰, b⁷p=ab⁶o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=b⁵p, gp=ab⁶p, hp=ab⁶o, ip=b⁷o, jp=b⁷n, kp=ab⁸n, lp=ab⁸m, mp=b⁹m, np=b⁹l, op=ab²¹, p²=b²⁰, b⁶q=ab⁵p, cq=ab²q, dq=b³q, eq=ab⁴q, fq=b⁵q, gq=b⁵p, hq=ab⁶p, iq=ab⁶o, jq=b⁷o, kq=b⁷n, lq=ab⁸n, mq=ab⁸m, nq=b⁹m, oq=b⁹l, pq=ab²¹, q²=b²⁰, b⁵r=ab⁴q, cr=ab²r, dr=b³r, er=ab⁴r, fr=ab⁴q, gr=b⁵q, hr=b⁵p, ir=ab⁶p, jr=ab⁶o, kr=b⁷o, lr=b⁷n, mr=ab⁸n, nr=ab⁸m, or=b⁹m, pr=b⁹l, qr=ab²¹, r²=b²⁰, b⁴s=ab³r, cs=ab²s, ds=b³s, es=b³r, fs=ab⁴r, gs=ab⁴q, hs=b⁵q, is=b⁵p, js=ab⁶p, ks=ab⁶o, ls=b⁷o, ms=b⁷n, ns=ab⁸n, os=ab⁸m, ps=b⁹m, qs=b⁹l, rs=ab²¹, s²=b²⁰, b³t=ab²s, ct=ab²t, dt=ab²s, et=b³s, ft=b³r, gt=ab⁴r, ht=ab⁴q, it=b⁵q, jt=b⁵p, kt=ab⁶p, lt=ab⁶o, mt=b⁷o, nt=b⁷n, ot=ab⁸n, pt=ab⁸m, qt=b⁹m, rt=b⁹l, st=ab²¹, t²=b²⁰, b²u=abt, cu=bt, du=ab²t, eu=ab²s, fu=b³s, gu=b³r, hu=ab⁴r, iu=ab⁴q, ju=b⁵q, ku=b⁵p, lu=ab⁶p, mu=ab⁶o, nu=b⁷o, ou=b⁷n, pu=ab⁸n, qu=ab⁸m, ru=b⁹m, su=b⁹l, tu=ab²¹, u²=b²⁰, bv=au, cv=bu, dv=bt, ev=ab²t, fv=ab²s, gv=b³s, hv=b³r, iv=ab⁴r, jv=ab⁴q, kv=b⁵q, lv=b⁵p, mv=ab⁶p, nv=ab⁶o, ov=b⁷o, pv=b⁷n, qv=ab⁸n, rv=ab⁸m, sv=b⁹m, tv=b⁹l, uv=ab²¹, v²=b²⁰, w=v>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, ab⁶j, bk, b³k, b⁵k, b⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, bm, b³m, b⁵m, b⁷m, b⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, bo, b³o, b⁵o, b⁷o, ap, ab²p, ab⁴p, ab⁶p, bq, b³q, b⁵q, ar, ab²r, ab⁴r, bs, b³s, at, ab²t, bu, av}

Phi = 1 a b a b a b c b c b³ c b³ abd d abd abe e abe abf f abf abg g abg abh h abh abi i abi abj j abj abk k abk abl l abl abm m abm abn n abn abo o abo abp p abp abq q abq abr r abr abs s abs abt t abt abu u abu u v u v

Monoid Structure