Details Page for 0.1157

Complete Solution is Known:

MSV File: q-0.1157.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₉₃(0.1157):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u | a²=1, b²⁰=b¹⁸, bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, b²e=b⁷, ce=ab⁷, de=ab⁹, e²=b¹⁰, b³f=ab⁹, cf=ab²f, df=b¹⁰, ef=ab¹¹, f²=b¹², b⁴g=b¹¹, cg=ab²g, dg=ab¹¹, eg=b¹², fg=ab¹³, g²=b¹⁴, b⁵h=ab¹³, ch=ab²h, dh=ab⁴h, eh=ab¹³, fh=b¹⁴, gh=ab¹⁵, h²=b¹⁶, b⁶i=b¹⁵, ci=ab²i, di=ab⁴i, ei=b⁵i, fi=ab¹⁵, gi=b¹⁶, hi=ab¹⁷, i²=b¹⁸, b⁷j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b⁵j, fj=ab⁶j, gj=ab¹⁷, hj=b¹⁸, ij=ab¹⁹, j²=b¹⁸, b⁸k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=b⁵k, fk=ab⁶k, gk=b⁷k, hk=ab¹⁹, ik=b¹⁸, jk=ab¹⁹, k²=b¹⁸, b⁸l=ab⁷k, cl=ab²l, dl=ab⁴l, el=b⁵l, fl=ab⁶l, gl=b⁷l, hl=b⁷k, il=ab¹⁹, jl=b¹⁸, kl=ab¹⁹, l²=b¹⁸, b⁷m=ab⁶l, cm=ab²m, dm=ab⁴m, em=b⁵m, fm=ab⁶m, gm=ab⁶l, hm=b⁷l, im=b⁷k, jm=ab¹⁹, km=b¹⁸, lm=ab¹⁹, m²=b¹⁸, b⁶n=ab⁵m, cn=ab²n, dn=ab⁴n, en=b⁵n, fn=b⁵m, gn=ab⁶m, hn=ab⁶l, in=b⁷l, jn=b⁷k, kn=ab¹⁹, ln=b¹⁸, mn=ab¹⁹, n²=b¹⁸, b⁵o=ab⁴n, co=ab²o, do=ab⁴o, eo=ab⁴n, fo=b⁵n, go=b⁵m, ho=ab⁶m, io=ab⁶l, jo=b⁷l, ko=b⁷k, lo=ab¹⁹, mo=b¹⁸, no=ab¹⁹, o²=b¹⁸, b⁴p=ab³o, cp=ab²p, dp=b³o, ep=ab⁴o, fp=ab⁴n, gp=b⁵n, hp=b⁵m, ip=ab⁶m, jp=ab⁶l, kp=b⁷l, lp=b⁷k, mp=ab¹⁹, np=b¹⁸, op=ab¹⁹, p²=b¹⁸, b³q=ab²p, cq=ab²q, dq=b³p, eq=b³o, fq=ab⁴o, gq=ab⁴n, hq=b⁵n, iq=b⁵m, jq=ab⁶m, kq=ab⁶l, lq=b⁷l, mq=b⁷k, nq=ab¹⁹, oq=b¹⁸, pq=ab¹⁹, q²=b¹⁸, b²r=abq, cr=bq, dr=ab²p, er=b³p, fr=b³o, gr=ab⁴o, hr=ab⁴n, ir=b⁵n, jr=b⁵m, kr=ab⁶m, lr=ab⁶l, mr=b⁷l, nr=b⁷k, or=ab¹⁹, pr=b¹⁸, qr=ab¹⁹, r²=b¹⁸, bs=ar, cs=br, ds=ab²q, es=ab²p, fs=b³p, gs=b³o, hs=ab⁴o, is=ab⁴n, js=b⁵n, ks=b⁵m, ls=ab⁶m, ms=ab⁶l, ns=b⁷l, os=b⁷k, ps=ab¹⁹, qs=b¹⁸, rs=ab¹⁹, s²=b¹⁸, bt=as, ct=ar, dt=bq, et=ab²q, ft=ab²p, gt=b³p, ht=b³o, it=ab⁴o, jt=ab⁴n, kt=b⁵n, lt=b⁵m, mt=ab⁶m, nt=ab⁶l, ot=b⁷l, pt=b⁷k, qt=ab¹⁹, rt=b¹⁸, st=ab¹⁹, t²=b¹⁸, bu=at, cu=as, du=br, eu=bq, fu=ab²q, gu=ab²p, hu=b³p, iu=b³o, ju=ab⁴o, ku=ab⁴n, lu=b⁵n, mu=b⁵m, nu=ab⁶m, ou=ab⁶l, pu=b⁷l, qu=b⁷k, ru=ab¹⁹, su=b¹⁸, tu=ab¹⁹, u²=b¹⁸>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, ae, bf, ag, ab²g, bh, b³h, ai, ab²i, ab⁴i, bj, b³j, b⁵j, ak, ab²k, ab⁴k, ab⁶k, bl, b³l, b⁵l, b⁷l, am, ab²m, ab⁴m, ab⁶m, bn, b³n, b⁵n, ao, ab²o, ab⁴o, bp, b³p, aq, ab²q, br, as, au}

Phi = 1 a a a a b b b b a a a a b b b b c c c c b³ b³ b³ b³ d d d d e e e e f f f f g g g g h h h h i i i i j j j j k k k k l l l l m m m m n n n n o o o o p p p p q q q q r r r r s s s s t t t t u u u u

Monoid Structure